Carleton University

Sciences and mathematics

Biochemistry

2026-27

  • Program Requirements Course Categories for Biochemistry The program descriptions below make use of the following course categories that are defined in the Regulations for the B.Sc. Approved Courses Outside the Faculties of Science and Engineering and Design Free Electives Biochemistry B.Sc. Honours (20.0 credits)
  • Biotechnology B.Sc. Honours (20.0 credits)
  • Biochemistry B.Sc. Major (20.0 credits)
  • Biochemistry (BIOC) Courses BIOC 1500 [0.5 credit] Biochemistry in a Modern Society Explore biochemistry's real-world applications, cutting-edge research, and transformative technologies. Learn through case studies and collaborative group work about how biochemistry revolutionizes industries, medicine, and environmental stewardship in this dynamic course. Prerequisite(s): Enrolled in a Biochemistry program. Workshop, three hours per week BIOC 1900 [0.5 credit] Demystifying Social Media Diets The biochemistry and metabolic implications of popular diets and nutrition trends. May include Mediterranean, flexitarian, ketogenic, paleo, intermittent fasting, detox plans and more. Comparing claims to basic biochemical concepts in a social media age. Available only as a free elective for Science students. Online course. BIOC 2200 [0.5 credit] Cellular Biochemistry Cellular functions and their interrelationships. Introduction to thermodynamics, membrane structure and function, transport mechanisms, basic metabolic pathways, energy production and utilization, communications between cells. It is strongly recommended that Biology Majors and Honours students take this course in their second year of study. Also listed as BIOL 2200 . Precludes additional credit for Precludes additional credit for BIOL 2201 , CHEM 4401 . Prerequisite(s): BIOL 1103 , BIOL 1104 , and (CHEM 1006 or CHEM 1002 ). Lectures three hours a week, laboratory or tutorial four hours a week. BIOC 2300 [0.5 credit] Physical Biochemistry Energy of biological systems, molecular interactions, diffusion principles, introduction to protein folding, structure and thermodynamics, ligand binding and nucleic acid structures; experimental design and data management. Precludes additional credit for Precludes additional credit for CHEM 2103 . Prerequisite(s): BIOC 2200 (can be taken concurrently with BIOC 2300 ) and MATH 1007 and MATH 1107 , and PHYS 1007 or PHYS 1003 . Lectures three hours a week, tutorials one and a half hours a week. BIOC 2400 [0.5 credit] Independent Research I Students carry out a laboratory research project under the supervision of a faculty member from the Institute of Biochemistry. A research report must be submitted by the last day of classes for evaluation by the Director and Faculty supervisor. Prerequisite(s): restricted to Honours students of second-year standing in a Biochemistry program with a GPA of 10.0 or higher in first year, and approval of the Director and a Faculty supervisor. Laboratory research for at least three hours a week over two terms. BIOC 2500 [0.5 credit] Research Methods and Skills in Biochemistry An introduction to research methods in biochemistry. Includes modern information literacy, study designs, descriptive and inferential statistics, and effective communication of research. Examples drawn from current issues in biochemistry. Prerequisite(s): 2nd year standing in a Biochemistry program. Workshop, three hours per week. BIOC 3101 [0.5 credit] Unlocking Metabolism: Pathways, Enzymes, and Control This course examines biological macromolecules as well as their chemistry, structure and function. Enzymatic reactions and their regulation, as well as carbohydrate, lipid and protein metabolism, is emphasized. Students apply knowledge of course concepts to relevant scientific problems (disease, development). Precludes additional credit for Precludes additional credit for CHEM 3401 (no longer offered), CHEM 4401 . Prerequisite(s): ( BIOC 2200 or BIOL 2200 ), and ( CHEM 2203 and CHEM 2204 ) or ( CHEM 2207 and CHEM 2208 ). Lectures three hours a week. BIOC 3102 [0.5 credit] Biochemical Signals and Structures: The Molecular Language of Cells This course examines secondary metabolism, membrane composition/synthesis, cell communication, and flow of genetic information within a biological system. Emphasis is on understanding molecular structures, the reactions/processes they facilitate, and their regulation. Students apply knowledge of course concepts to relevant scientific problems. Prerequisite(s): BIOC 3101 and BIOL 2104 . Lectures three hours a week. BIOC 3103 [0.5 credit] Experimental Biochemistry I: Principles and Practices Introduction to experimental biochemistry and the theory and concepts dealt with in BIOC 3101 . Prerequisite(s): BIOC 2200 / BIOL 2200 and CHEM 2203 . CHEM 2204 and ( BIOC 2300 or CHEM 2103 ) are also recommended. It is highly recommended that BIOC 3101 be taken concurrently. Laboratory four hours a week, tutorial one hour per week. BIOC 3104 [0.5 credit] Experimental Biochemistry II: Research Experience Introduction to experimental biochemistry and the theory and concepts dealt with in BIOC 3101 and BIOC 3102 . Prerequisite(s): BIOC 3103 . It is highly recommended that BIOC 3102 be taken concurrently. Laboratory four hours a week, tutorial one hour a week. BIOC 3203 [0.5 credit] Biochemical Pharmacology Biochemical principles of pharmacology, including receptor mechanisms, signal transduction, pharmacokinetics, and pharmacodynamics. Genome-wide association studies, pharmacogenomics, and personalized medicine will also be included. Prerequisite(s): BIOC 2200 or BIOL 2200 or BIOL 2201 , or permission of the Institute. Lectures three hours a week. BIOC 3400 [0.5 credit] Independent Research II Students carry out a laboratory research project under the supervision of faculty member from the Institute of Biochemistry. A research report must be submitted by the last day of classes for evaluation by the Director and Faculty supervisor. Prerequisite(s): restricted to Honours students of third-year standing in a Biochemistry program with a GPA of 10.0 or higher in second year, and approval of the Director and Faculty supervisor. Laboratory research for at least three hours a week over two terms. BIOC 3999 [0.0 credit] Co-operative Work Term Practical experience for students enrolled in the co-operative option. Students must receive a satisfactory evaluation from their work term employer; and present a written report describing their work term project. Graded SAT or UNS. Prerequisite(s): registration in the Biochemistry co-operative option and permission of the Institute. BIOC 4001 [0.5 credit] Methods in Biochemistry Principles and applications of modern biochemical methodology, including ultracentrifugation, electrophoresis, ELISA, EMSA, experimental planning, ligand binding kinetics, fluorescence spectroscopy, affinity purification, and in vitro translation. Prerequisite(s): BIOC 3103 and BIOC 3104 or permission of the Institute. Lectures and discussion two hours, laboratory four hours a week. BIOC 4004 [0.5 credit] Industrial Biochemistry The application of biochemistry to the production of biological compounds useful in nutrition, medicine, and the food and chemical industries. This course covers general strategies and tools of metabolic engineering for efficient production of these compounds at scale using living cells, enzymes, or cell-free systems. Prerequisite(s): BIOC 3101 and BIOC 3102 ( BIOC 3102 may be taken concurrently), or permission of the Institute. Lecture three hours a week. BIOC 4005 [0.5 credit] Biochemical Regulation Regulation at the transcriptional, translational and metabolic level; regulation of cell and subcellular organelle function and other timely topics may be included. Prerequisite(s): BIOC 3101 and BIOC 3102 . Lectures three hours a week. BIOC 4007 [0.5 credit] Membrane Biochemistry Biochemical and biophysical aspects of biomembrane structure and function. Topics may include: membrane lipids and proteins, lipid polymorphism, model membranes, liposomes, membrane biogenesis, the membrane cytoskeleton, membrane trafficking, membrane fusion, exocytosis and signal transduction across membranes. Prerequisite(s): BIOC 2200 or BIOL 2201 , and third-year standing. Lectures two hours a week and workshop two hours a week. BIOC 4009 [0.5 credit] Biochemistry of Disease The biochemical basis of disease including genetic and metabolic disorders such as cancer, neurological degenerative conditions, diabetes, stroke and microbial infections. Prerequisite(s): BIOC 2200 or BIOL 2201 , and third-year standing. Lectures three hours a week. BIOC 4010 [0.5 credit] Data Applications in Biochemistry A project-based workshop at the intersection of data and biochemistry. Students will develop skills for autonomous learning and proficiency in database selection, computational tool integration, data management, introductory programming, statistical analysis, data visualization, and effective communication of biochemically-relevant information. Prerequisite(s): BIOC 3101 and BIOC 3102 , or permission of the Institute. Workshop three hours a week. BIOC 4201 [0.5 credit] Advanced Cell Culture and Tissue Engineering Theory and application of current techniques and developments in cell culture as applied to research questions in the field of stem cells and tissue engineering. Also listed as BIOL 4201 . Prerequisite(s): BIOL 3201 or permission of the Institute. Laboratory four hours per week, tutorial one hour a week. BIOC 4203 [0.5 credit] Secondary Metabolism and Natural Products Biochemistry Structure, biochemical derivation and function of secondary metabolites such as toxins and antibiotics. Examples from plant, fungal and animal systems. Prerequisite(s): BIOC 3101 and BIOL 3104 , or permission of the Institute. Lectures three hours a week. BIOC 4207 [0.5 credit] Bio-Organic Chemistry The course covers chemical and biosynthetic methods applied to the major classes of biomolecules and their derivatives, including: carbohydrates, amino acids, peptides, proteins, nucleic acids, lipids, terpenes, heterocycles and natural products. Content will focus on reactions and mechanisms that contribute to their biological activities. Also listed as CHEM 4207 . Prerequisite(s): CHEM 3201 or permission of the Institute. Also offered at the graduate level, with different requirements, as CHEM 5010 ., for which additional credit is precluded. Lectures three hours a week. BIOC 4708 [0.5 credit] Principles of Toxicology Basic theorems of toxicology with examples of current research problems. Toxic risk is defined as the product of intensive hazard and extensive exposure. Each factor is assessed in scientific and social contexts and illustrated with many types of experimental material. Prerequisite(s): BIOC 3101 and fourth-year standing or permission of the Institute. Also offered at the graduate level, with different requirements, as BIOL 6402 , CHEM 5708 , for which additional credit is precluded. Lectures three hours a week. BIOC 4901 [0.5 credit] Directed Special Studies Independent or group study, open to third- and fourth-year students to explore a particular topic, in consultation with a Faculty supervisor. May include directed reading, written assignments, tutorials, or laboratory or field work. Prerequisite(s): permission of the Institute. Students normally may not offer more than 0.5 credit of Directed Special Studies in their program. BIOC 4902 [0.5 credit] Special Topics in Biochemistry Specific topics of current interest. Topics may vary from year to year. Prerequisite(s): third or fourth-year standing in a Biochemistry program or permission of the Institute. Lecture, seminars, or workshops three hours per week. BIOC 4907 [1.0 credit] Honours Essay and Research Proposal An independent research study using library resources. The candidate will prepare a critical review of a topic and research proposal approved by a faculty adviser. Evaluation will be based on a written report and a poster presentation of the project. Precludes additional credit for Precludes additional credit for BIOC 4906 (no longer offered), BIOC 4908 [1.0]. Prerequisite(s): fourth-year standing in an Honours Biochemistry program and permission of the Institute. BIOC 4908 [1.0 credit] Research Project Students carry out a research project approved by the Director, under the supervision of a faculty member of the Institute, in either the Biology or Chemistry departments. Evaluation is based on a written thesis and poster presentation. Precludes additional credit for Precludes additional credit for BIOC 4906 (no longer offered) and BIOC 4907 . Prerequisite(s): ( BIOC 3103 and BIOC 3104 ) and ( BIOC 3101 and BIOC 3102 ) or equivalent, and eligibility to continue in Honours Biochemistry or in Biochemistry and Biotechnology. Note: Not all courses listed are offered in a given year. For an up-to-date statement of course offerings for the current session and to determine the term of offering, consult the class schedule at central.carleton.ca . Summer session: some of the courses listed in this Calendar are offered during the summer. Hours and scheduling for summer session courses will differ significantly from those reported in the fall/winter Calendar. To determine the scheduling and hours for summer session classes, consult the class schedule at central.carleton.ca B.Sc. Regulations The regulations presented in this section apply to all Bachelor of Science programs. In addition to the requirements presented here, students must satisfy the University regulations common to all undergraduate students including the process of Academic Continuation Evaluation (see the Academic Regulations of the University section of this Calendar). Breadth Requirement for the B.Sc. Students in a Bachelor of Science program must present the following credits at graduation: 2.0 credits in Science Continuation courses not in the major discipline; students completing a double major are considered to have completed this requirement providing they have 2.0 credits in Science Continuation courses in each of the two majors; 2.0 credits in courses outside of the faculties of Science and Engineering and Design (may include ISAP 1000) In most cases, the requirements for individual B.Sc. programs, as stated in this Calendar, contain these requirements, explicitly or implicitly. Students admitted to B.Sc. programs by transfer from another institution must present at graduation (whether taken at Carleton or elsewhere): 2.0 credits in courses outside of the faculties of Science and Engineering and Design (may include ISAP 1000) if the student received fewer than 10.0 transfer credits; or, 1.0 credit in courses outside of the faculties of Science and Engineering and Design (may include ISAP 1000) if the student received 10.0 or more transfer credits. Declared and Undeclared Students Degree students are considered "Undeclared" if they have been admitted to a degree, but have not yet selected and been accepted into a program within that degree. The status "Undeclared" is available only in the B.A. and B.Sc. degrees. Undeclared students must apply to enter a program upon or before completing 3.5 credits. Change of Program within the B.Sc. Degree To transfer to a program within the B.Sc. degree, applicants must normally be Eligible to Continue (EC) in the new program, by meeting the CGPA thresholds described in Section 3.1.9 of the Academic Regulations of the University. Applications to declare or change programs within the B.Sc. degree must be made online through Carleton Central by completing a Change of Program Elements (COPE) application form within the published deadlines. Acceptance into a program, or into a program element or option, is subject to any enrolment limitations, and/or specific program, program element or option requirements as published in the relevant Calendar entry. Minors, Concentrations, and Specializations Students may add a Minor, Concentration, or Specialization by completing a Change of Program Elements (COPE) application form online through Carleton Central. Acceptance into a Minor, Concentration, or Specialization normally requires that the student be Eligible to Continue (EC) and is meeting the minimum CGPAs described in Section 3.1.9 of the Academic Regulations of the University , as well as being subject to any specific requirements of the intended Minor, Concentration, or Specialization as published in the relevant Calendar entry. Experimental Science Requirement Students in a B.Sc. degree program must present at graduation at least two full credits of Experimental Science chosen from two different departments or institutes from the list below: Approved Experimental Science Courses Biochemistry BIOC 2200 [0.5] Cellular Biochemistry BIOC 3103 [0.5] Experimental Biochemistry I: Principles and Practices BIOC 3104 [0.5] Experimental Biochemistry II: Research Experience BIOC 4001 [0.5] Methods in Biochemistry BIOC 4201 [0.5] Advanced Cell Culture and Tissue Engineering Biology BIOL 1103 [0.5] Foundations of Biology I BIOL 1104 [0.5] Foundations of Biology II BIOL 2001 [0.5] Animals: Form and Function BIOL 2002 [0.5] Plants: Form and Function BIOL 2104 [0.5] Introductory Genetics BIOL 2200 [0.5] Cellular Biochemistry BIOL 2600 [0.5] Ecology Chemistry CHEM 1001 [0.5] General Chemistry I CHEM 1002 [0.5] General Chemistry II CHEM 2103 [0.5] Physical Chemistry I CHEM 2203 [0.5] Organic Chemistry I CHEM 2204 [0.5] Organic Chemistry II CHEM 2302 [0.5] Analytical Chemistry I CHEM 2303 [0.5] Analytical Chemistry II CHEM 2800 [0.5] Foundations for Environmental Chemistry Earth Sciences ERTH 1002 [0.5] The Earth and Life Odyssey: A Journey Through Billions of Years ERTH 2102 [0.5] Mineralogy to Petrology ERTH 2404 [0.5] Engineering Geoscience ERTH 2802 [0.5] Field Geology I ERTH 3111 [0.5] Vertebrate Evolution: Mammals, Reptiles, and Birds ERTH 3112 [0.5] Vertebrate Evolution: Fish and Amphibians ERTH 3204 [0.5] Mineral Deposits ERTH 3205 [0.5] Physical Hydrogeology Food Sciences FOOD 3001 [0.5] Food Chemistry FOOD 3002 [0.5] Food Analysis FOOD 3005 [0.5] Food Microbiology Geography GEOG 1010 [0.5] Global Environmental Systems GEOG 3108 [0.5] Soil Properties Neuroscience NEUR 3206 [0.5] Sensory and Motor Neuroscience NEUR 3207 [0.5] Systems Neuroscience NEUR 4600 [0.5] Advanced Lab in Neuroanatomy Physics PHYS 1001 [0.5] Foundations of Physics I PHYS 1002 [0.5] Foundations of Physics II PHYS 1003 [0.5] Introductory Mechanics and Thermodynamics PHYS 1004 [0.5] Introductory Electromagnetism and Wave Motion PHYS 1007 [0.5] Elementary University Physics I PHYS 1008 [0.5] Elementary University Physics II PHYS 2007 [0.5] Second Year Physics Laboratory: Selected Experiments and Seminars PHYS 3007 [0.5] Third Year Physics Laboratory: Selected Experiments and Seminars PHYS 3606 [0.5] Modern Physics II PHYS 3608 [0.5] Modern Applied Physics Course Categories for B.Sc. 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Biology

2026-27

  • Program Requirements Course Categories for Biology Programs The program descriptions below make use of the following course categories that are defined in the Bachelor of Science Regulations in this Calendar. Science Faculty Electives Advanced Science Faculty Electives Science Continuation Science Geography Science Psychology Approved Courses Outside the Faculties of Science and Engineering and Design Free Electives Restricted Courses: Students in the Biology B.Sc., Biology B.Sc. Major, and Biology B.Sc. Honours programs (except students in the Biology B.A, Biology B.A. Honours and Biology B.A. Combined Honours programs) may use Technology, Society, Environment courses TSES 3001 , TSES 3002 , TSES 3500 , TSES 4001 , TSES 4002 , TSES 4003 , TSES 4005 , TSES 4006 , TSES 4007 to fulfill degree requirements, but only as free electives. Bioinformatics B.Sc. Honours (20.0 credits)
  • Biology B.Sc. Honours (20.0 credits)
  • Biology with Concentration in Biodiversity, Natural History, and Conservation Science B.Sc. Honours (20.0 credits)
  • Biology with Concentration in Ecology, Evolution and Behaviour B.Sc. Honours (20.0 credits)
  • Biology with Concentration in Health Science B.Sc. Honours (20.0 credits)
  • Biology with Concentration in Molecular and Cellular Biology B.Sc. Honours (20.0 credits)
  • Biology with Concentration in Physiology B.Sc. Honours (20.0 credits)
  • Biology B.Sc. Major (20.0 credits)
  • Biology B.Sc. (15.0 credits) Note: some advanced Biology courses with laboratory components will not be available to students enrolling in the B.Sc. program. A. Credits included in the Major CGPA (6.5 credits) 1. 1.5 credit in: 1.5 BIOL 1103 [0.5] Foundations of Biology I BIOL 1104 [0.5] Foundations of Biology II BIOL 1105 [0.5] Introduction to Biological Data 2. 2.0 credits from: 2.0 BIOL 2001 [0.5] Animals: Form and Function BIOL 2002 [0.5] Plants: Form and Function BIOL 2107 [0.5] Fundamentals of Genetics BIOL 2201 [0.5] Cell Biology and Biochemistry BIOL 2303 [0.5] Microbiology BIOL 2600 [0.5] Ecology 3. 0.5 credit in: 0.5 BIOL 3306 [0.5] Human Anatomy and Physiology 4. 2.5 credits from BIOL at the 2000-level and 3000-level or higher 2.5 B. Credits Not Included in the Major CGPA (8.5 credits) 5. 1.0 credit in: 1.0 CHEM 1001 [0.5] & CHEM 1002 [0.5] General Chemistry I General Chemistry II 6. 0.5 credit in: 0.5 MATH 1007 [0.5] Elementary Calculus I 7. 1.0 credit from: 1.0 COMP 1005 [0.5] Introduction to Computer Science I COMP 1006 [0.5] Introduction to Computer Science II MATH 1107 [0.5] Linear Algebra I PHYS 1007 [0.5] Elementary University Physics I or PHYS 1003 [0.5] Introductory Mechanics and Thermodynamics PHYS 1008 [0.5] Elementary University Physics II or PHYS 1004 [0.5] Introductory Electromagnetism and Wave Motion STAT 2507 [0.5] Introduction to Statistical Modeling I 8. 2.0 credits in Science Continuation (not in BIOL) 2.0 9. 1.0 credit in Science Faculty Electives 1.0 10. 2.0 credits in Approved Courses Outside the Faculties of Science and Engineering and Design (may include ISAP 1000 ) 2.0 11. 1.0 credit in free electives. 1.0 Total Credits 15.0 Biology and Biotechnology B.Sc. Honours (20.0 credits)
  • Biology and Earth Sciences B.Sc. Combined Honours (20.0 credits)
  • Biology and Physics B.Sc. Combined Honours (20.0 credits)
  • Neuroscience and Biology B.Sc. Combined Honours (20.0 credits)
  • Biology B.A. Honours (20.0 credits)
  • Biology B.A. (15.0 credits) Note: some advanced Biology courses with laboratory components will not be available to students enrolling in the B.A. program. A. Credits included in the Major CGPA (6.0 credits) 1. 1.5 credit in: 1.5 BIOL 1103 [0.5] Foundations of Biology I BIOL 1104 [0.5] Foundations of Biology II BIOL 1105 [0.5] Introduction to Biological Data 2. 2.0 credits from: 2.0 BIOL 2001 [0.5] Animals: Form and Function BIOL 2002 [0.5] Plants: Form and Function BIOL 2107 [0.5] Fundamentals of Genetics BIOL 2201 [0.5] Cell Biology and Biochemistry BIOL 2303 [0.5] Microbiology BIOL 2600 [0.5] Ecology 3. 2.5 credits in BIOL 2.5 B. Credits not included in the Major CGPA (9.0 credits) 4. 1.0 credit in: 1.0 CHEM 1001 [0.5] & CHEM 1002 [0.5] General Chemistry I General Chemistry II 5. 1.0 credit in Science Faculty Electives, not in BIOL 1.0 6. 4.0 credits in approved courses outside of the faculties of Science and Engineering and Design (but may include ISAP 1000 ) 4.0 7. 1.0 credit at the 2000-level or higher 1.0 8. 2.0 credits in free electives. 2.0 Total Credits 15.0 Biology B.A. Combined Honours (20.0 credits)
  • Biology and Humanities B.Hum. Combined Honours (20.0 credits)
  • Minor in Biology (4.0 credits) The Minor in Biology is available to students registered in degree programs other than those offered by the Department of Biology. Students are required to present a Minor CGPA of 4.00 or higher at graduation in order to be awarded a Minor in Biology. Requirements (4.0 credits) 1. 1.0 credit in: 1.0 BIOL 1103 [0.5] Foundations of Biology I BIOL 1104 [0.5] Foundations of Biology II 2. 0.5 credit in BIOL at the 1000-level or higher: 0.5 3. 1.5 credit in BIOL at the 2000-level or higher 1.5 4. 1.0 credit in BIOL at the 3000-level or higher 1.0 Total Credits 4.0 Biology (BIOL) Courses BIOL 1010 [0.5 credit] Biotechnology and Society A course for students interested in the science behind recent advances in biotechnology. The different ways in which biotechnology is being applied in agriculture, health care, and the environment will be examined. Preclusion: credit will not be given if taken concurrently with or after BIOL 2200 or BIOC 2200 or BIOL 2201 . Students in Biology and Biochemistry programs may only take this course as a free elective. Lectures three hours a week. BIOL 1103 [0.5 credit] Foundations of Biology I A research-oriented course focusing on the scientific process of biological exploration at the cellular level. Topics include cell organization, metabolism, genetics, and reproduction. Prerequisite(s): Ontario 4U/M in Biology (or equivalent), or Ontario 4U/M in Chemistry (or equivalent). Lectures three hours a week, laboratory or tutorial three hours a week. BIOL 1104 [0.5 credit] Foundations of Biology II A research-oriented course focusing on the scientific process of biological exploration at the macroscale. Topics include evolution, diversity of life, and ecological relationships. Prerequisite(s): Ontario 4U/M in Biology (or equivalent) or BIOL 1103 . Lectures three hours a week, laboratory or tutorial three hours a week. BIOL 1105 [0.5 credit] Introduction to Biological Data Formulation of biological research questions, development of hypotheses and predictions, design of experiments, collection and analysis of data, interpretation and presentation of results. Lectures three hours a week. BIOL 1902 [0.5 credit] Natural History A course designed primarily for students in non-biology programs to investigate the natural history of plants and animals, and the communities in which they occur. Particular attention is paid to the Ottawa region, but appropriate examples from other locales are also included. Lectures three hours a week. BIOL 2001 [0.5 credit] Animals: Form and Function An introduction to the diverse structures of animals (both invertebrates and vertebrates) in relationship to their functions, discussed within an evolutionary framework. Prerequisite(s): BIOL 1103 and BIOL 1104 . Lectures three hours a week, laboratory or tutorial three hours a week. BIOL 2002 [0.5 credit] Plants: Form and Function An introduction to the structure and development of higher plants (at cellular, morphological and organism levels) discussed in relation to their function. Prerequisite(s): BIOL 1103 and BIOL 1104 . Lectures three hours a week, laboratory or tutorial three hours a week. BIOL 2005 [0.5 credit] Human Biology A course for non-specialists interested in how the human body works. Topics will include biological molecules, cells, genetics, and various organ systems. Examples will be used to connect concepts taught in the course with general knowledge of human health and disease. Prerequisite(s): BIOL 1103 , CHEM 1001 , and CHEM 1002 . Students in Biology and Biochemistry programs may only take this course as a free elective. Lectures three hours a week. BIOL 2104 [0.5 credit] Introductory Genetics Lecture/laboratory course on the mechanisms of inheritance and the nature of gene structure, composition and function, introducing both classical Mendelian genetics and modern molecular genetics. It is strongly recommended that this course be taken by Biology majors in their second year of study. Precludes additional credit for Precludes additional credit for BIOL 2106 (no longer offered) and BIOL 2107 . Credit for BIOL 2106 will only be given if taken before BIOL 2104 . Prerequisite(s): BIOL 1103 and BIOL 1104 . Lectures three hours a week, laboratory or tutorial three hours a week. BIOL 2107 [0.5 credit] Fundamentals of Genetics Mechanisms of inheritance and the nature of gene structure, composition and function, introducing both classical Mendelian genetics and modern molecular genetics. Precludes additional credit for Precludes additional credit for BIOL 2104 and BIOL 2106 (no longer offered). Prerequisite(s): BIOL 1103 and BIOL 1104 . Lectures three hours a week. BIOL 2200 [0.5 credit] Cellular Biochemistry Cellular functions and their interrelationships. Introduction to thermodynamics, membrane structure and function, transport mechanisms, basic metabolic pathways, energy production and utilization, communications between cells. It is strongly recommended that Biology Majors and Honours students take this course in their second year of study. Also listed as BIOC 2200 . Precludes additional credit for Precludes additional credit for BIOL 2201 , CHEM 4401 . Prerequisite(s): BIOL 1103 , BIOL 1104 , CHEM 1001 , and CHEM 1002 . Lectures three hours a week, laboratory or tutorial four hours a week. BIOL 2201 [0.5 credit] Cell Biology and Biochemistry A study of the molecular, metabolic and structural organization of cells in relation to function. This course is recommended for students not taking upper year Biology laboratory courses for which BIOL/BIOC laboratories are prerequisites. Precludes additional credit for Precludes additional credit for BIOL 2200 , BIOC 2200 . Prerequisite(s): BIOL 1103 and CHEM 1002 . Lectures three hours a week. BIOL 2301 [0.5 credit] Biotechnology I An introductory course on the science, technology, entrepreneurial skills and business considerations related to biotechnology. The course will survey broadly across the disciplines of Biology, including applications in agriculture, health, environment and industry. Also listed as BTEC 2301 . Prerequisite(s): BIOL 1103 and BIOL 1104 . Lectures one and a half hours a week, workshops two hours a week. BIOL 2303 [0.5 credit] Microbiology The biology of the bacteria, Archaea, Viruses and Protozoans, from the fundamentals of cell chemistry, molecular biology, structure and function, to their involvement in ecological and industrial processes and human disease. Also listed as ENVE 2002 . Precludes additional credit for Precludes additional credit for HLTH 2004 , HLTH 2024 . Prerequisite(s): BIOL 1103 . Lectures three hours a week. BIOL 2600 [0.5 credit] Ecology The scientific study of interactions of living organisms and their environment, and how these affect the distribution and abundance of life. Topics include energy transformation and flow, nutrient cycling, population and community dynamics, human impacts on ecosystems, conservation issues. Laboratory includes field and computer exercises. Prerequisite(s): BIOL 1103 and BIOL 1104 . Lectures three hours a week, laboratory or tutorial four hours a week. BIOL 2903 [0.5 credit] Natural History and Ecology of Ontario Introduction to the remarkable diversity and ecological relationships of Ontario's flora and fauna, which are explored in a habitat context. Prerequisite(s): BIOL 1104 or BIOL 1902 . Lectures three hours a week. BIOL 3004 [0.5 credit] Insect Diversity Introductory course dealing with the taxonomic diversity, anatomy, behavior and physiology of insects, as well as their impacts on ecosystems, agriculture and animal and human health. Precludes additional credit for Precludes additional credit for BIOL 4601. Prerequisite(s): BIOL 2001 . Lectures three hours a week. BIOL 3008 [0.5 credit] Bioinformatics A practical exploration in the application of information technology to biochemistry and molecular biology. Insight into biological knowledge discovery via molecular structure and function prediction, comparative genomics and biological information management. Precludes additional credit for Precludes additional credit for BIOC 3008 (no longer offered), COMP 3308 (no longer offered). Prerequisite(s): BIOC 2200 or BIOL 2200 , or BIOL 2201 , or permission of the Department. Lectures two hours a week, computer workshop three hours a week. BIOL 3102 [0.5 credit] Mycology This introductory course will cover the morphology, physiology, life cycles, evolution, ecology and biotechnology of the fungi. Prerequisite(s): BIOL 2104 or BIOL 2107 . Lectures three hours a week. BIOL 3104 [0.5 credit] Molecular Genetics A lecture course dealing with modern advances in molecular genetics. Prerequisite(s): BIOL 2104 or BIOL 2107 or permission of the Department. Lectures three hours a week. BIOL 3110 [0.5 credit] Origin of Life An exploration of the main hypotheses, lines of evidence, and open questions to the origin of life. Topics include thermodynamics of life, the Oparin-Haldane hypothesis, the Miller-Urey experiment, the RNA world hypothesis, panspermia hypotheses, and a special focus on the alkaline hydrothermal vent hypothesis. Prerequisite(s): BIOL 2200 or BIOL 2201 . Lectures three hours a week. BIOL 3111 [0.5 credit] Vertebrate Evolution: Mammals, Reptiles, and Birds Evolution of mammals, reptiles and birds. Emphasis on surveying amniote diversity, and the origin of key amniote transformations, as evidenced by the fossil record. Also listed as ERTH 3111 . Prerequisite(s): BIOL 2001 or permission of the Department. Lectures two hours a week and a laboratory three hours a week. BIOL 3112 [0.5 credit] Vertebrate Evolution: Fish and Amphibians Evolution of fish and amphibians. Emphasis on surveying fish and amphibian diversity, and the origin of key transformations of these groups, as evidenced by the fossil record. Also listed as ERTH 3112 . Prerequisite(s): BIOL 2001 or permission of the Department. Lectures two hours a week and a laboratory three hours a week. BIOL 3201 [0.5 credit] Cell Biology A lecture and laboratory course on the structure, composition, and function of eukaryotic cells. Prerequisite(s): BIOL 2104 and BIOL 2200 / BIOC 2200 , or permission of the Department. Lectures three hours a week, laboratory four hours a week. BIOL 3202 [0.5 credit] Principles of Developmental Biology Introduction to the underlying principles and mechanisms governing development in multicellular animals and plants. Differentiation, growth, morphogenesis, and patterning will be examined at the organismal, cellular, and molecular levels to provide a balanced view of developmental phenomena in key model organisms. Prerequisite(s): BIOL 2104 or BIOL 2107 and one of BIOL 2001 or BIOL 2002 , or permission of the Department. Lectures three hours a week. BIOL 3205 [0.5 credit] Plant Biochemistry and Physiology A lecture and laboratory course consisting of selected topics in metabolism and physiology of plants, including photosynthesis, nutrient uptake and transport, intermediary and secondary metabolism, germination, growth and development. Prerequisite(s): BIOL 2002 and BIOL 2200 / BIOC 2200 , or permission of the Department. Lectures three hours a week, laboratory four hours a week. BIOL 3301 [0.5 credit] Biotechnology II An interdisciplinary course on interactions between science, invention and innovation in biotechnology. Case studies related to regional biotechnology opportunities; social and ethical issues impacting biotechnology. Also listed as BTEC 3301 . Prerequisite(s): BIOL 2301 , BIOL 2104 or BIOL 2107 , and BIOL 2200 / BIOC 2200 or BIOL 2201 , or permission of the Department. Lectures and laboratory/workshops three hours a week BIOL 3303 [0.5 credit] Experimental Microbiology Intensive training in laboratory techniques in microbiology, using bacteria and other microorganisms to demonstrate processes of cell growth, metabolism, gene expression, rapid evolution, gene transfer, microbial community dynamics and interactions with other organisms. Prerequisite(s): BIOL 2104 , BIOL 2200 / BIOC 2200 and BIOL 2303 , or permission of the Department. Lecture/tutorial one and a half hours a week, laboratory four hours a week. BIOL 3305 [0.5 credit] Human and Comparative Physiology The properties of physiological systems and components of humans and other animals with an emphasis on physical and chemical bases. Precludes additional credit for Precludes additional credit for BIOL 3306 . Prerequisite(s): BIOL 2200 / BIOC 2200 and BIOL 2001 . Lectures three hours a week, laboratory four hours a week. BIOL 3306 [0.5 credit] Human Anatomy and Physiology The anatomy and physiology of the neuromuscular, cardiovascular, respiratory, and excretory systems of humans with comparison to other animals. Precludes additional credit for Precludes additional credit for BIOL 3305 . Prerequisite(s): BIOL 1103 , BIOL 1104 , CHEM 1001 , CHEM 1002 , and third-year standing. Lectures three hours per week. BIOL 3307 [0.5 credit] Advanced Human Anatomy and Physiology The anatomy and physiology of the endocrine, skeletal, digestive, immunological, and reproductive systems, with additional emphasis on the embryological origins of the major physiological systems. Prerequisite(s): BIOL 3305 or BIOL 3306 . Lectures three hours per week, workshop or laboratory four hours per week. BIOL 3501 [0.5 credit] Biomechanics Properties of muscles, tendons, bones, joints and the co-ordinated use of these structures. Human and other animal locomotion and fitness, bird flight, especially the soaring of the vulture and the albatross, and animal migration are covered in detail. Prerequisite(s): BIOL 1103 , BIOL 1104 , and third-year standing. Lectures three hours a week, workshop two hours a week. BIOL 3601 [0.5 credit] Ecosystems and Environmental Change Exploration of the unique contribution of the ecosystem approach to ecology, and of early key literature in ecosystem ecology through to current work on global environmental change. Prerequisite(s): BIOL 2600 . Lectures three hours a week, laboratory four hours a week in six sessions. BIOL 3602 [0.5 credit] Conservation Biology The science of biology as applied to the problem of maintaining species diversity. Topics include: history of conservation biology, valuation of species, indices of biodiversity, extinction, conservation genetics, conservation planning in parks and reserves, landscape ecology and case studies of conservation problems. Prerequisite(s): BIOL 2600 or permission of the Department. Lectures three hours a week and laboratory/workshop three hours a week. BIOL 3604 [0.5 credit] Statistics for Biologists Introduction to the analysis of biological data. Students analyze real biological data sets in weekly laboratory sessions. Methods introduced include simple linear, polynomial, and multiple regression analysis, analysis of variance, nonparametric tests, tests of independence and logistic regression analysis. Prerequisite(s): BIOL 1105 or STAT 2507 . Lectures one and one-half hours and laboratory two and one-half hours a week. BIOL 3605 [0.5 credit] Field Course I An intensive study of living organisms under natural conditions. Credit is based on two weeks of full-time fieldwork with attendant assignments. Transportation and room and board costs are borne by the student. Ontario Universities Program in Field Biology; see offered modules for specific prerequisites. Also listed as NEUR 3203 , for animal behaviour modules only. Prerequisite(s): at least one course in BIOL beyond the 1000-level and written permission of the Department. Students may take both BIOL 3605 and BIOL 3606 for credit, but neither may be used to repeat a particular module. All day, approximately six days a week. BIOL 3606 [0.5 credit] Field Course II An intensive study of living organisms under natural conditions. Credit is based on two weeks of full-time fieldwork with attendant assignments. Transportation and room and board costs are borne by the student. Ontario Universities Program in Field Biology; see offered modules for specific prerequisites. Prerequisite(s): at least one course in BIOL beyond the 1000-level and written permission of the Department. Students may take both BIOL 3605 and BIOL 3606 for credit, but neither can be used to repeat a particular module. All day, approximately six days a week. BIOL 3608 [0.5 credit] Principles of Biogeography Contemporary and past controls on distribution of plants and animals at global, regional and local scales; significance of these distributions. Also listed as GEOG 3104 . Prerequisite(s): BIOL 2600 or GEOG 1010 or permission of the Department. Lectures, laboratory, and fieldwork five hours a week. BIOL 3609 [0.5 credit] Evolutionary Concepts Evolution is the change in population properties across generations. Genetic variation, mutation, selection, drift, gene flow, genome evolution, speciation, development, biodiversity, fossils, and macro-evolution. Prerequisite(s): BIOL 2104 or BIOL 2107 or permission of the instructor. Lectures three hours a week. BIOL 3611 [0.5 credit] Evolutionary Ecology The term “adaptation” is meaningful only with respect to an ecological context. Ecological contexts lead to evolutionary outcomes such as diverse mating systems, ageing, sexual reproduction, sexual dimorphism, geographic variation, phenotypic plasticity, and diverse life histories. Precludes additional credit for Precludes additional credit for BIOL 4608. Prerequisite(s): BIOL 2600 . Lectures three hours a week; one field trip. BIOL 3612 [0.5 credit] Computational Methods in Ecology and Evolution Introduction to the development and use of computer programs to address biological problems. Topics include the development of programs to analyse ecological data, models of population dynamics, deterministic chaos, cellular automata, simulations of foraging behaviour and evolutionary computation. Prerequisite(s): BIOL 2600 or permission of the Department. Lectures two hours per week, workshop three hours per week. BIOL 3801 [0.5 credit] Plants and Herbivores Exploration of the chemical, physiological, ecological and evolutionary interactions that underlie the relationship between plants and their insect herbivores. Prerequisite(s): BIOL 2001 and BIOL 2002 . Lectures/seminars three hours a week. BIOL 3802 [0.5 credit] Animal Behaviour Advanced study of animal behaviour including the environmental, genetic, and neural influences on behaviour. Topics such as predator-prey interactions, mating behaviour, migration, parental care and social interactions are interpreted in an evolutionary context. Prerequisite(s): BIOL 2001 or BIOL 2600 or permission of the Department. Lectures and workshop/tutorials three hours a week. BIOL 3804 [0.5 credit] Social Evolution Diversity in social behaviour from evolutionary and ecological perspectives. Topics include ecological determinants of social living, social networks, social foraging, inclusive fitness, kin selection, altruism, cooperation, and mating systems and strategies. Prerequisite(s): BIOL 2600 , or permission of the Department. Lectures three hours a week. BIOL 3901 [0.5 credit] Research Proposal The development of a competitive research proposal in consultation with an advisor. Prerequisite(s): third year standing in an Honours Biology program and permission of the Department. BIOL 3902 [0.5 credit] Special Topics in Biology I Specific topics of current interest. Topics may vary from year to year. Prerequisite(s): third-year standing in a Biology program or permission of the Department. Lecture, seminars, or workshops three hours per week. BIOL 3999 [0.0 credit] Co-operative Work Term Report Practical experience for students enrolled in the Co-operative Option. Students must receive satisfactory evaluations from their work term employer. Written reports describing the work term project will be required. Graded SAT or UNS. Prerequisite(s): registration in the Biology Co-operative Option and permission of the Department. BIOL 4007 [0.5 credit] Evolutionary Developmental Paleobiology This course explores the mechanistic basis of organismic evolution from genetic, morphogenetic and epigenetic perspectives, within a phylogenetic context of living and extinct vertebrates. Also listed as ERTH 4007 . Prerequisite(s): ERTH 2312 or BIOL 2001 , and BIOL 2104 . Lectures or seminars three hours per week. BIOL 4008 [0.5 credit] Molecular Plant Development Recent advances in plant development including molecular, biochemical, genomics, and proteomics studies. Prerequisite(s): BIOL 2002 or permission of the Department. Lectures three hours a week. BIOL 4102 [0.5 credit] Molecular Ecology The interface of molecular biology, ecology and population biology. Topics include experimental design and a survey and critique of molecular genetic methods to study ecology. Prerequisite(s): BIOL 2600 and ( BIOL 2104 or BIOL 2107 ) or permission of the Department. Lectures three hours a week. BIOL 4103 [0.5 credit] Population Genetics Evolution of gene frequencies, including selection, mutation, genetic drift, inbreeding, gene flow, and population structure. Prerequisite(s): BIOL 2104 or BIOL 2107 or permission of the Department. A course in statistics is highly recommended. Lectures and seminars three hours a week. BIOL 4104 [0.5 credit] Evolutionary Genetics An overview of the molecular evidence of evolution, speciation as well as the phylogenetic analysis of biological sequence data and biometrical traits. Prerequisite(s): ( BIOL 2001 or BIOL 2002 ) and ( BIOL 2104 or BIOL 2107 ) or permission of the Department. A course in statistics is recommended. Lectures and computer lab three hours a week. BIOL 4106 [0.5 credit] Advances in Molecular Biology Review of the application of high throughput approaches to research in molecular and cellular biology and biochemistry with an emphasis on gene function and human disease progression. Prerequisite(s): BIOL 2303 and ( BIOL 3104 or BIOL 3201 or BIOL 3303 ). Lectures and seminars three hours a week. BIOL 4109 [0.5 credit] Laboratory Techniques in Molecular Genetics This laboratory course provides practical familiarity with commonly used techniques in molecular genetics. The laboratory is suitable for students with a developing interest in problems of molecular and cellular biology and biochemistry. Prerequisite(s): BIOL 2200 / BIOC 2200 and BIOL 2303 and BIOL 3104 or permission of the Department. Lecture/laboratory six hours a week in two sessions. BIOL 4200 [0.5 credit] Immunology The organization and function of the immune system, including the anatomy of the immune system, the properties and behaviour of cells of the immune system, and the molecular and genetic bases of the immune response. Precludes additional credit for Precludes additional credit for BIOC 4200 (no longer offered). Prerequisite(s): BIOL 3201 or permission of the Department. Lectures three hours a week. BIOL 4201 [0.5 credit] Advanced Cell Culture and Tissue Engineering Theory and application of current techniques and developments in cell culture as applied to research questions in the field of stem cells and tissue engineering. Also listed as BIOC 4201 . Prerequisite(s): BIOL 3201 or permission of the Department. Laboratory four hours per week, tutorial one hour a week. Labs require regular participation outside of the scheduled lab time to maintain cell cultures and set up or complete experiments. BIOL 4202 [0.5 credit] Mutagenesis and DNA Repair A mechanistic study of mutagenesis and DNA repair. Topics include DNA structure perturbations, spontaneous and induced mutagenesis, the genetics and biochemistry of DNA repair and recombination, and the role of mutations in the development of genetic disease and cancer. Precludes additional credit for Precludes additional credit for BIOC 4202 (no longer offered). Prerequisite(s): BIOL 3104 and BIOL 2200 / BIOC 2200 or permission of the Department. Lectures and tutorial three hours a week. BIOL 4203 [0.5 credit] Evolution of Sex The evolution of sex, including meiosis, syngamy, sex determination, sex chromosomes, and gender from organismal, genetic, and developmental perspectives; the origin, maintenance, function, and ubiquity of sex. Prerequisite(s): BIOL 2104 or BIOL 2107 . Lectures three hours a week. BIOL 4206 [0.5 credit] Human Genetics A survey of human genetic variation and mutation in a molecular genetics context. Topics may include molecular basis of diseases, chromosomal abnormalities, genomic imprinting, cancer genetics, genomics, gene mapping and gene therapy. Prerequisite(s): BIOL 3104 or permission of the Department. Lectures three hours a week. BIOL 4207 [0.5 credit] Advanced Embryology & Developmental Biology A laboratory-based exploration of techniques and recent developments in the use of model embryological systems as applied to questions of development and human health. Prerequisite(s): BIOL 3201 or BIOL 3202 or permission of the Department. Laboratory four hours per week, tutorial one hour a week. Labs require regular participation outside of the scheduled lab time to set up or complete experiments. BIOL 4209 [0.5 credit] Advanced Plant Physiology An advanced course dealing with recent developments in selected topics of plant physiology. Prerequisite(s): BIOL 3205 and CHEM 2203 , CHEM 2204 or permission of the Department. Lectures/discussion three hours a week. BIOL 4300 [0.5 credit] Applied Microbiology Studies of the application of microorganisms. Topics may include: microbial communities, and agricultural, pharmaceutical, industrial and health sciences. Prerequisite(s): ( BIOL 2200 / BIOC 2200 or BIOL 2201 ), BIOL 2303 and ( BIOL 3104 or BIOL 3303 ) or permission of the Department. Lectures and tutorial three hours a week. BIOL 4301 [0.5 credit] Current Topics in Biotechnology Explorations of developing biotechnologies in areas such as microbial products, protein engineering, plant genetic engineering, environmental remediation, pharmaceuticals production and medical diagnostics and therapy. Prerequisite(s): BIOL 3301 or permission of the Department. Lectures and tutorials four hours a week. BIOL 4303 [0.5 credit] Advances in Microbiology Exploration of current microbiology including the molecular biology of infectious agents, use of model micro-organisms to study human cells and diseases, and functional genomics and proteomics. Special attention will be paid to the field’s "big questions". Students will critically examine a number of research proposals. Prerequisite(s): BIOL 2303 and ( BIOL 3104 or BIOL 3303 or BIOC 3102 ) or permission of the Department. Lectures three hours per week. BIOL 4304 [0.5 credit] Forensic Biology An introduction to forensics that covers topics in molecular biology, biochemistry, genetics, population genetics and statistics as they relate to forensic biology. The course will describe the techniques used to identify body fluids and generate DNA profiles as well as the interpretation of forensic results. Prerequisite(s): ( BIOL 2104 or BIOL 2107 ) and ( BIOL 2200 / BIOC 2200 or BIOL 2201 ) or permission of the Department. Lectures three hours a week. BIOL 4306 [0.5 credit] Animal Neurophysiology A course dealing with recent advances made in particular areas of animal neurophysiology. Precludes additional credit for Precludes additional credit for BIOL 4305. Prerequisite(s): BIOL 3305 or BIOL 3306 , or permission of the Department. Lectures two hours a week, workshops or laboratory four hours a week. BIOL 4309 [0.5 credit] Studies in Human Performance Biomechanical underpinnings of human performance including the quantitative analysis of human motion in normal activities and in athletic performance. Students will learn modern motion capture methods. This course will require students to design and execute an independent project. Prerequisite(s): BIOL 3307 and fourth-year standing, or permission of the Department. Lecture three hours per week, workshop/labs three hours per week. BIOL 4317 [0.5 credit] Neuroethology: The Neural Basis of Animal Behaviour Proximate mechanisms underlying animal behaviour. Focus on evolution of nervous systems in response to environmental selection pressures. Topics include: genetic and hormonal influences on behaviour (e.g. maternal care); unique sensory worlds (e.g. magnetic); various levels of neural integration, from simple reflexes to complex social behaviour. Prerequisite(s): BIOL 3305 or BIOL 3306 , or permission of the Department. Lectures three hours a week. BIOL 4318 [0.5 credit] Adaptations to Extreme Environments Lectures, discussions and student presentations will be used to examine adaptations of animals to extreme environments (e.g. desert) or lifestyles (e.g. diving), at the physiological, biochemical and molecular levels. Emphasis on becoming familiar with the current primary literature. Prerequisite(s): BIOL 3305 , or permission of the Department. Lectures/workshops three hours a week. BIOL 4319 [0.5 credit] Studies in Exercise Physiology Physiological mechanisms underlying human athletic performance. Exercise physiology and cardio-respiratory activity, metabolic regulation and musculoskeletal function. Practical experience will be gained in the workshop/laboratory based experimental sessions. Prerequisite(s): BIOL 3307 and fourth-year standing, or permission of the Department. Lectures two hours per week, workshop/labs three hours per week. BIOL 4500 [0.5 credit] The Biology of Birds Introduction to ornithology, the study of birds; the evolution of birds, migration, geographic variation, adaptations for flight, feeding, reproduction; extinction and preservation. Prerequisite(s): BIOL 2001 or permission of the Department. Lectures three hours per week. BIOL 4501 [0.5 credit] The Taxonomy of Birds The taxonomy of birds and species identification are learned through the use of study skins in the lab. Field excursions allow first-hand study of various species. Participants must acquire a pair of binoculars and one of the recommended field guides. Prerequisite(s): BIOL 2001 or permission of the Department. Laboratory/field excursions four hours per week. BIOL 4502 [0.5 credit] Herpetology Herpetology is the study of amphibians and reptiles. The behaviours, physiological ecology, conservation and identification of amphibians and reptiles will be examined through lectures, seminars and hands-on activities. Prerequisite(s): BIOL 2001 . Lectures or seminars three hours per week. BIOL 4503 [0.5 credit] Fish Ecology, Conservation and Management Introduction to the diversity and environmental biology of the world's fishes. Applied issues in fisheries management, conservation, and aquaculture. Workshops expose students to techniques in fisheries science through hands-on demonstrations and field excursions. Prerequisite(s): BIOL 2600 or permission of the Department. Lectures/seminars two hours a week, plus labs/workshops two hours a week. BIOL 4504 [0.5 credit] Ecology of Freshwater Invertebrates Overview of the diversity and ecology of freshwater invertebrates. Aquatic invertebrates from local bodies of water will be sampled and identified in the lab. Experiments on the ecology and behaviour of model species of freshwater invertebrates will also be conducted in the lab. Prerequisite(s): BIOL 2001 and BIOL 2600 . Seminar and lab four hours a week. BIOL 4505 [0.5 credit] Coral Reefs Examining the diversity of life on coral reefs and their interactions across ecological scales, from the biochemistry of zooxanthellae symbiosis to landscape scale trophodynamics, reticulate evolution, and reef fisheries. Emphasis is on synthesis writing drawn from the current primary literature. Prerequisite(s): BIOL 2600 . Lectures/seminars three hours a week BIOL 4506 [0.5 credit] Cactus Biology Covers the cactus family over its entire range, including most of the western hemisphere, with discussion on their anatomy, physiology, ecology, evolution, and classification. Topics include how cacti are both typical flowering plants in some regards, and atypical in others. Prerequisite(s): BIOL 2002 . Lectures/seminars three hours a week BIOL 4507 [0.5 credit] Ecological Parasitology Key concepts in the ecological study of parasites and pathogens, underpinned by evolutionary thinking and relevant to fundamental and applied questions of co-evolution, disease ecology, epidemiology, emerging infectious diseases, environmental parasitology, evolutionary transitions, host species range, immunity, resistance, tolerance, transmission mode, and virulence. Prerequisite(s): BIOL 2600 and one of the following: BIOL 3601 , BIOL 3604 , BIOL 3609 , BIOL 3611 , BIOL 3612 , BIOL 3801 , BIOL 3802 , BIOL 3804 . Lectures or seminars 3 hours per week. BIOL 4602 [0.5 credit] Evolutionary Applications across Disciplines: From Medicine to Conservation Evolutionary principles contributing to advancements across fields including medicine, agriculture, conservation, climate change, and engineering. Topics include evolution of virulence, causes of variation in human health, evolution of resistance to pesticides, interventions for recovery of species at risk, and biomimetic modeling in engineering and architecture. Prerequisite(s): BIOL 1104 and third-year standing. Lectures/workshops three hours per week. BIOL 4603 [0.5 credit] Insect Evolution and Biology Major questions on the origin, evolution and adaptation of structures and physiology of terrestrial arthropods, especially insects. Prerequisite(s): BIOL 3004 , or permission of the Department. Lectures two hours a week, laboratory four hours a week. BIOL 4604 [0.5 credit] Landscape Ecology Landscape ecology is the study of how landscape structure affects ecological processes and biodiversity. The focus of this course is on research methods and results in landscape ecology, with special emphasis on applications in forestry, agriculture, and species conservation. Prerequisite(s): BIOL 2600 and ( BIOL 3601 or BIOL 3602 or BIOL 3608 ) or permission of the Department. Lecture three hours a week. BIOL 4802 [0.5 credit] Advanced Animal Behaviour Contemporary issues in behavioural ecology. Topics may include the relevance of behavioural ecology to conservation biology, to new insights into human social behaviour, and will be selected through consultation between professor and students. Prerequisite(s): BIOL 3802 or BIOL 3804 , or permission of the Department. Lectures or workshops three hours a week. BIOL 4810 [0.5 credit] Education Research in Undergraduate Science Introduction to learning and teaching university science. The science of learning, evidence of effective teaching, and teaching methodologies. Professional ethics, constructivist learning, equity and inclusion. Discipline-Based Education Research (DBER). Students will conduct their own DBER research project. Prerequisite(s): 4th year standing, or permission of the Department This course can only be used by students in programs offered by, or in conjunction with, the Faculty of Science as a free elective. Also offered at the graduate level, with different requirements, as ISAP 5504 , for which additional credit is precluded. Seminar three hours per week, classroom-based research one hour per week. BIOL 4901 [0.5 credit] Directed Special Studies Independent or group study, open to third- and fourth-year students to explore a particular topic, in consultation with a Faculty supervisor. May include directed reading, written assignments, tutorials, laboratory or field work. Prerequisite(s): permission of the Department. Students normally may not offer more than 1.0 credit of Directed Special Studies in their program. BIOL 4902 [0.5 credit] Special Topics in Biology II Specific topics of current interest. Topics may vary from year to year. Prerequisite(s): fourth-year standing in a Biology program or permission of the Department. Lecture, seminars, or workshops three hours per week. BIOL 4905 [1.0 credit] Honours Workshop Students engage in biological topics of their choosing, an evidence-based synthesis developed and presented through multiple scientific communication methods (e.g., narrative review papers, media releases, infographics, and oral and poster presentations). Evaluation is based on written syntheses, course assignments, and a year-end presentation. Precludes additional credit for Precludes additional credit for BIOL 4907 and BIOL 4908 . Prerequisite(s): fourth-year standing in an Honours biology program and permission of the Department. Workshops three hours per week. BIOL 4907 [1.0 credit] Honours Essay and Research Proposal An independent critical review and research proposal, using library resources, under the direct supervision of a Faculty advisor. Evaluation is based on a written report and a poster presentation. Precludes additional credit for Precludes additional credit for BIOL 4905 and BIOL 4908 . Prerequisite(s): fourth-year standing in an Honours Biology program and permission of the Department. BIOL 4908 [1.0 credit] Honours Research Thesis An independent research project undertaken in the field and/or the laboratory, under the direct supervision of a faculty adviser. Evaluation is based on a written thesis and a poster presentation. Precludes additional credit for Precludes additional credit for BIOL 4905 and BIOL 4907 . Prerequisite(s): fourth-year standing in an Honours biology program with a minimum CGPA of 8.0 in the major or permission of the Department. Note: Not all courses listed are offered in a given year. For an up-to-date statement of course offerings for the current session and to determine the term of offering, consult the class schedule at central.carleton.ca . Summer session: some of the courses listed in this Calendar are offered during the summer. Hours and scheduling for summer session courses will differ significantly from those reported in the fall/winter Calendar. To determine the scheduling and hours for summer session classes, consult the class schedule at central.carleton.ca Co-operative Education For more information about how to apply for the Co-op program and how the Co-op program works please visit the Co-op website . All students participating in the Co-op program are governed by the Undergraduate Co-operative Education Policy. Undergraduate Co-operative Education Policy Admission Requirements Students can apply to Co-op in one of two ways: directly from high school, or after beginning a degree program at Carleton. If a student applies to a degree program with a Co-op option from high school, their university grades will be reviewed two terms to one year prior to their first work term to ensure they meet the academic requirements after their first or second year of study. The time at which the evaluation takes place depends on the program of study. Students will automatically receive an admission decision via their Carleton email account. Students who did not request Co-op at the time they applied to Carleton can request Co-op after they begin their university studies. To view application instructions and deadlines, please visit carleton.ca/co-op . To be admitted to Co-op, a student must successfully complete 5.0 or more credits that count towards their degree, meet the minimum CGPA requirement(s) for the student's Co-op option, and fulfil any specified course prerequisites. To see the unique admission and continuation requirements for each Co-op option, please refer to the specific degree programs listed in the Undergraduate Calendar. Participation Requirements Co-op Participation Agreement All students must adhere to the policies found within the Co-op Participation Agreement. COOP 1000 Once a student has been admitted to the Co-op Program, they will be given access to register in COOP 1000. This zero-credit online course must be completed at least two terms prior to the student's first work term. Communication with the Co-op Office Students must maintain contact with the Co-op Office during their job search and while on a work term. All email communication will be conducted via the students' Carleton email account. Employment Although every effort is made to ensure a sufficient number of job postings for all Co-op students, no guarantee of employment can be made. The Co-op job search process is competitive, and success is dependent upon factors such as current market conditions, academic performance, skills, motivation, and level of commitment to the job search. It is the student's responsibility to apply for positions via the Co-op job board in addition to actively conducting a self-directed job search. Students who do not obtain a co-op work term are expected to continue with their academic studies. It should be noted that hiring priority for positions within the Federal Government of Canada is given to Canadian citizens. Registration Students must be registered as full-time during all fall and winter study terms beginning the term in which they enroll in COOP 1000. Students will be registered in a Co-op Work Term course while at work. This course does not carry academic course credit, but is noted on academic transcripts. Students may register in a 0.5 credit during a work term, provided the course is offered during the evening or is offered asynchronously online. Students must have at least one term of full-time studies left to complete following their final co-op work term. Students cannot end their degree on a work term. Work Term Assessment and Evaluation Work Term Evaluation Employers are responsible for submitting to Carleton University final performance evaluations for their Co-op students at the end of their work terms. Work Term Assessment In order to successfully complete the co-op work term, students must receive a Satisfactory (SAT) grade on their Co-op Work Term Report, which they must submit at the completion of each four-month work term. Graduation with the Co-op Designation In order to graduate with the Co-op Designation, students must satisfy all requirements of the degree program in addition to the successful completion of three or four work terms (the number is dependent upon the student's academic program). Students found in violation of the Co-op Participation Agreement may have the Co-op Designation withheld. Note: Participation in the co-op option will add up to one additional year for a student to complete their degree program. Voluntary Withdrawal from the Co-op Option Students who are currently on a co-op work term or who have already committed to a co-op work term either verbally or in writing may not leave the position and/or withdraw from the co-op option until they have completed the work term and all related requirements. Involuntary or Required Withdrawal from the Co-op Option Students may be removed from the Co-op Program for any of the following reasons: Failure to achieve a grade of SAT in COOP 1000; Failure to attend all interviews for positions to which the student has applied; Declining more than one job offer during the job search; Reneging on a co-op position that the student has accepted either verbally or in writing; Continuing a job search after accepting a co-op position; Dismissal from a work term by the co-op employer; Leaving a work term without approval from the Co-op Management Team; Receipt of an unsatisfactory work term evaluation; Receiving a grade of UNS on the work term report. International Students All international students are required to be legally eligible to work in Canada. Students are advised to discuss requirements with the Global Opportunities & International Student Services Office. Co-op Fees All participating Co-op students are required to pay Co-op fees. For full details, please see the Co-op website . B.Sc. Honours Biology, Bioinformatics: Co-op Admission and Continuation Requirements Maintain full-time status in each study term; Be eligible to work in Canada (for off-campus work); Have successfully completed COOP 1000 . In addition to the following: Registered as a full-time student in the B.Sc. Honours Biology or Bioinformatics program; Successfully completed 5.0 or more credits; Obtained an Overall CGPA of at least 6.50 and a Major CGPA of at least 8.00. These CGPAs must be maintained throughout the duration of the degree. B.Sc. Honours Biology and Bioinformatics students must successfully complete three (3) work terms to obtain the Co-op Designation. Work Term Course : BIOL 3999 Work/Study Pattern: Year 1 Year 2 Year 3 Year 4 Year 5 Term Pattern Term Pattern Term Pattern Term Pattern Term Pattern Fall S Fall S Fall S Fall W Fall S Winter S Winter S Winter S Winter W Winter S Summer Summer W Summer W Summer W B.Sc. Combined Honours Neuroscience and Biology Maintain full-time status in each study term; Be eligible to work in Canada (for off-campus work); Have successfully completed COOP 1000 . In addition to the following: Registered as a full-time student in the B.Sc. Combined Honours Neuroscience and Biology program; Successfully completed 5.0 or more credits; Obtained an Overall CGPA of at least 6.50 and a Major CGPA of at least 8.00. These CGPAs must be maintained throughout the duration of the degree. B.Sc. Combined Honours Neuroscience and Biology students must successfully complete three (3) work terms to obtain the Co-op Designation. Work Term Course : NEUR 3999 , BIOL 3999 Work-Study Pattern: Year 1 Year 2 Year 3 Year 4 Year 5 Term Pattern Term Pattern Term Pattern Term Pattern Term Pattern Fall S Fall S Fall S Fall W Fall S Winter S Winter S Winter S Winter W Winter S Summer Summer W Summer W Summer W Legend S : Study W : Work B.Sc. Regulations The regulations presented in this section apply to all Bachelor of Science programs. In addition to the requirements presented here, students must satisfy the University regulations common to all undergraduate students including the process of Academic Continuation Evaluation (see the Academic Regulations of the University section of this Calendar). Breadth Requirement for the B.Sc. Students in a Bachelor of Science program must present the following credits at graduation: 2.0 credits in Science Continuation courses not in the major discipline; students completing a double major are considered to have completed this requirement providing they have 2.0 credits in Science Continuation courses in each of the two majors; 2.0 credits in courses outside of the faculties of Science and Engineering and Design (may include ISAP 1000) In most cases, the requirements for individual B.Sc. programs, as stated in this Calendar, contain these requirements, explicitly or implicitly. Students admitted to B.Sc. programs by transfer from another institution must present at graduation (whether taken at Carleton or elsewhere): 2.0 credits in courses outside of the faculties of Science and Engineering and Design (may include ISAP 1000) if the student received fewer than 10.0 transfer credits; or, 1.0 credit in courses outside of the faculties of Science and Engineering and Design (may include ISAP 1000) if the student received 10.0 or more transfer credits. Declared and Undeclared Students Degree students are considered "Undeclared" if they have been admitted to a degree, but have not yet selected and been accepted into a program within that degree. The status "Undeclared" is available only in the B.A. and B.Sc. degrees. Undeclared students must apply to enter a program upon or before completing 3.5 credits. Change of Program within the B.Sc. Degree To transfer to a program within the B.Sc. degree, applicants must normally be Eligible to Continue (EC) in the new program, by meeting the CGPA thresholds described in Section 3.1.9 of the Academic Regulations of the University. Applications to declare or change programs within the B.Sc. degree must be made online through Carleton Central by completing a Change of Program Elements (COPE) application form within the published deadlines. Acceptance into a program, or into a program element or option, is subject to any enrolment limitations, and/or specific program, program element or option requirements as published in the relevant Calendar entry. Minors, Concentrations, and Specializations Students may add a Minor, Concentration, or Specialization by completing a Change of Program Elements (COPE) application form online through Carleton Central. Acceptance into a Minor, Concentration, or Specialization normally requires that the student be Eligible to Continue (EC) and is meeting the minimum CGPAs described in Section 3.1.9 of the Academic Regulations of the University , as well as being subject to any specific requirements of the intended Minor, Concentration, or Specialization as published in the relevant Calendar entry. Experimental Science Requirement Students in a B.Sc. degree program must present at graduation at least two full credits of Experimental Science chosen from two different departments or institutes from the list below: Approved Experimental Science Courses Biochemistry BIOC 2200 [0.5] Cellular Biochemistry BIOC 3103 [0.5] Experimental Biochemistry I: Principles and Practices BIOC 3104 [0.5] Experimental Biochemistry II: Research Experience BIOC 4001 [0.5] Methods in Biochemistry BIOC 4201 [0.5] Advanced Cell Culture and Tissue Engineering Biology BIOL 1103 [0.5] Foundations of Biology I BIOL 1104 [0.5] Foundations of Biology II BIOL 2001 [0.5] Animals: Form and Function BIOL 2002 [0.5] Plants: Form and Function BIOL 2104 [0.5] Introductory Genetics BIOL 2200 [0.5] Cellular Biochemistry BIOL 2600 [0.5] Ecology Chemistry CHEM 1001 [0.5] General Chemistry I CHEM 1002 [0.5] General Chemistry II CHEM 2103 [0.5] Physical Chemistry I CHEM 2203 [0.5] Organic Chemistry I CHEM 2204 [0.5] Organic Chemistry II CHEM 2302 [0.5] Analytical Chemistry I CHEM 2303 [0.5] Analytical Chemistry II CHEM 2800 [0.5] Foundations for Environmental Chemistry Earth Sciences ERTH 1002 [0.5] The Earth and Life Odyssey: A Journey Through Billions of Years ERTH 2102 [0.5] Mineralogy to Petrology ERTH 2404 [0.5] Engineering Geoscience ERTH 2802 [0.5] Field Geology I ERTH 3111 [0.5] Vertebrate Evolution: Mammals, Reptiles, and Birds ERTH 3112 [0.5] Vertebrate Evolution: Fish and Amphibians ERTH 3204 [0.5] Mineral Deposits ERTH 3205 [0.5] Physical Hydrogeology Food Sciences FOOD 3001 [0.5] Food Chemistry FOOD 3002 [0.5] Food Analysis FOOD 3005 [0.5] Food Microbiology Geography GEOG 1010 [0.5] Global Environmental Systems GEOG 3108 [0.5] Soil Properties Neuroscience NEUR 3206 [0.5] Sensory and Motor Neuroscience NEUR 3207 [0.5] Systems Neuroscience NEUR 4600 [0.5] Advanced Lab in Neuroanatomy Physics PHYS 1001 [0.5] Foundations of Physics I PHYS 1002 [0.5] Foundations of Physics II PHYS 1003 [0.5] Introductory Mechanics and Thermodynamics PHYS 1004 [0.5] Introductory Electromagnetism and Wave Motion PHYS 1007 [0.5] Elementary University Physics I PHYS 1008 [0.5] Elementary University Physics II PHYS 2007 [0.5] Second Year Physics Laboratory: Selected Experiments and Seminars PHYS 3007 [0.5] Third Year Physics Laboratory: Selected Experiments and Seminars PHYS 3606 [0.5] Modern Physics II PHYS 3608 [0.5] Modern Applied Physics Course Categories for B.Sc. Programs
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Chemistry

2026-27

  • Graduation Requirements In addition to the requirements listed below, students must satisfy: the University regulations (see the Academic Regulations of the University section of this Calendar), the common regulations applying to all B.Sc. programs including those relating to Science Continuation and Breadth requirements (see the Academic Regulations for the Bachelor of Science Degree ), Students should consult with the Department when planning their program and selecting courses. Program Requirements Chemistry B.Sc. Honours (20.0 credits)
  • Chemistry with Concentration in Chemical Toxicology B.Sc. Honours (20.0 credits)
  • Chemistry with Concentration in Nanotechnology B.Sc. Honours (20.0 credits)
  • Chemistry B.Sc. (15.0 credits)
  • Chemistry and Earth Sciences B.Sc. Combined Honours (20.0 credits)
  • Chemistry and Physics B.Sc. Combined Honours (20.0 credits)
  • Minor in Chemistry (4.0 credits) The Minor in Chemistry is available to degree students registered in programs other than those associated with the Department of Chemistry. Students are required to present a Minor CGPA of 4.00 or higher at graduation in order to be awarded a Minor in Chemistry. Requirements: 1. 1.0 credit from: 1.0 CHEM 1001 [0.5] & CHEM 1002 [0.5] General Chemistry I General Chemistry II or CHEM 1011 [0.5] & CHEM 1012 [0.5] Enriched General Chemistry 1 Enriched General Chemistry 2 2. 3.0 credits in Chemistry at 2000-level or higher 3.0 3. The remaining requirements of the major discipline(s) and degree must be satisfied. Total Credits 4.0 Chemistry (CHEM) Courses CHEM 1001 [0.5 credit] General Chemistry I Topics include atomic structure, periodic trends, structure and bonding, gas laws, intermolecular forces, equilibrium, acids and bases, and buffers. Examples relate to health, energy, materials, and the environment. Precludes additional credit for Precludes additional credit for CHEM 1005 (no longer offered), CHEM 1011 , CHEM 1101 . Prerequisite(s): Ontario 4U/M in Chemistry (or equivalent) strongly recommended. Lectures and tutorial four hours a week, laboratory three hours every other week. CHEM 1002 [0.5 credit] General Chemistry II Topics include thermodynamics and spontaneity, kinetics, electrochemistry, organic chemistry, transition metal complexes, and green chemistry. Examples relate to health, energy, materials, and the environment. Precludes additional credit for Precludes additional credit for CHEM 1006 (no longer offered), CHEM 1012 . Prerequisite(s): CHEM 1001 . Lectures and tutorial four hours a week, laboratory three hours every other week. CHEM 1003 [0.5 credit] The Chemistry of Food, Health and Drugs Aspects of chemistry relating to food, food additives, drugs (illicit and beneficial) and their relation to metabolism and health. Topics may include: proteins, carbohydrates, fats, vitamins, cofactors, enzymes, steroids, electrolyte and pH balance, trace elements. Available only as a free option for Science students. Prerequisite(s): a course in Chemistry (e.g. Ontario Grade 11). Lectures three hours a week. CHEM 1004 [0.5 credit] Drugs and the Human Body No science background required. Topics include drug origins, laws, metabolism and dependence, pharmaceutical industry, over the counter medications, placebo effect, antibiotics, pain killers, stimulants, alcohol, marijuana, hallucinogens, birth control and steroids. Students in Science programs may use this course only as a free elective. Lectures three hours a week. CHEM 1007 [0.5 credit] Chemistry of Art and Artifacts The chemistry of arts and artifacts created throughout the ages (Paleolithic, Neolithic, Bronze, Iron, Middle and Modern) will be examined. Basic chemical principles will be explored and reviewed when required. Students in Science programs may use this course only as a free elective. Lectures three hours a week. CHEM 1011 [0.5 credit] Enriched General Chemistry 1 This is a maths-intensive specialist course intended for chemistry majors or students planning to pursue courses in chemistry at the 3000-level and above. Topics include atomic structure, periodic trends, structure and bonding, gas laws, intermolecular forces, equilibrium, acids and bases, and buffers. Precludes additional credit for Precludes additional credit for CHEM 1001 , CHEM 1005 (no longer offered), CHEM 1101 . Lectures and tutorial four hours a week, laboratory three hours every other week. CHEM 1012 [0.5 credit] Enriched General Chemistry 2 This is a maths-intensive specialist course intended for chemistry majors or students planning to pursue courses in chemistry at the 3000-level and above. Topics include thermodynamics and spontaneity, kinetics, electrochemistry, organic chemistry, transition metal complexes, and green chemistry. Precludes additional credit for Precludes additional credit for CHEM 1002 , CHEM 1006 (no longer offered). Prerequisite(s): CHEM 1011 . Lectures and tutorial four hours a week, laboratory three hours every other week. CHEM 1101 [0.5 credit] Chemistry for Engineering Students Topics include stoichiometry, atomic and molecular structure, thermodynamics and chemical equilibrium, acid-base chemistry, carbon dioxide in water, alkalinity, precipitation, electrochemistry, kinetics and basic organic chemistry. Laboratory component emphasizes techniques and methods of basic experimental chemistry. Precludes additional credit for Precludes additional credit for CHEM 1000 (no longer offered), CHEM 1001 , CHEM 1005 (no longer offered), CHEM 1011 . Prerequisite(s): Ontario 4U/M in Chemistry or equivalent. Lectures three hours a week, laboratory three hours every other week. CHEM 2103 [0.5 credit] Physical Chemistry I Basic principles of thermodynamics. Development of the laws of thermodynamics, enthalpy, entropy and free energy, and their applications to phase equilibria, electrochemistry, and kinetics. Brief introduction to quantum mechanics. Precludes additional credit for Precludes additional credit for BIOC 2300 . Prerequisite(s): CHEM 1006 (no longer offered) with a minimum grade of B- , or CHEM 1002 or CHEM 1012 , MATH 1004 , MATH 1104 or MATH 1107 , ( PHYS 1001 and PHYS 1002 ) or ( PHYS 1007 and PHYS 1008 ) or ( PHYS 1003 and PHYS 1004 ). Lectures three hours a week, problems one hour a week, laboratory three hours a week. CHEM 2104 [0.5 credit] Physical Chemistry II Further development of thermodynamic equations and their applications to mass changes, chemical potential, chemical equilibria, transport properties and advanced phase equilibria. Use of partial differentials and development of Maxwell's relations will also be covered. Precludes additional credit for Precludes additional credit for CHEM 3100 (no longer offered). Prerequisite(s): CHEM 2103 or BIOC 2300 , and MATH 1005 or MATH 2007 . Lectures three hours a week, problems one hour a week, laboratory three hours a week. CHEM 2203 [0.5 credit] Organic Chemistry I Introduction to stereochemistry, spectroscopy and chemical reactions of alkanes, alkenes, alkynes, and alkyl halides. Reaction mechanisms and the interpretation of IR, NMR and mass spectra is explored. Training in the handling and purification of organic compounds, organic chemical reactions,and the use of infrared spectroscopy. Precludes additional credit for Precludes additional credit for CHEM 2207 . Prerequisite(s): CHEM 1006(no longer offered) with a minimum grade of B- , or CHEM 1002 or CHEM 1012 . Lectures three hours a week and laboratory three hours a week. CHEM 2204 [0.5 credit] Organic Chemistry II Introduction to stereochemistry, spectroscopy, mechanisms, and chemical reactions of alcohols, ethers, epoxides, conjugated pi-systems, aromatic compounds, aldehydes, ketones, amines and carboxylic acids and their derivatives. Further training in the handling and purification of organic compounds, organic chemical reactions, and the use of infrared spectroscopy. Precludes additional credit for Precludes additional credit for CHEM 2208 . Prerequisite(s): CHEM 2203 . Lectures three hours a week and laboratory three hours a week. CHEM 2207 [0.5 credit] Introduction to Organic Chemistry I Introduction to stereochemistry, spectroscopy and chemical reactions of alkanes, alkenes, alkynes, and alkyl halides. Reaction mechanisms and the interpretation of IR, NMR and mass spectra is explored. Precludes additional credit for Precludes additional credit for CHEM 2203 . Prerequisite(s): CHEM 1006 (no longer offered) with a minimum grade of B- , or CHEM 1002 or CHEM 1012 . Lectures three hours a week. CHEM 2208 [0.5 credit] Introduction to Organic Chemistry II Introduction to stereochemistry, spectroscopy, mechanisms, and chemical reactions of alcohols, ethers, epoxides, conjugated pi-systems, aromatic compounds, aldehydes, ketones, amines and carboxylic acids and their derivatives. Precludes additional credit for Precludes additional credit for CHEM 2204 . Prerequisite(s): CHEM 2207 or CHEM 2203 . Lectures three hours a week. CHEM 2302 [0.5 credit] Analytical Chemistry I Introduction to quality assurance measures, calibration strategies and the fundamentals of solution-based analytical measurement processes. Qualitative and quantitative analysis using potentiometric and electrolysis techniques including ion selective electrodes, coulometry, amperometry and voltammetry. Redox, acid/base and EDTA titrations in the context of various buffer systems. Prerequisite(s): CHEM 1006 (no longer offered) with a minimum grade of B- , or CHEM 1002 or CHEM 1012 or CHEM 1101 and ( MATH 1007 or MATH 1004 ). Lectures three hours a week, laboratory three hours a week. CHEM 2303 [0.5 credit] Analytical Chemistry II Spectrophotometric analysis using UV-Vis, fluorescence and FTIR instrumentation. Modern separation methods including CE, GC and LC. Recent techniques and applications using mass spectrometry. Applications of all of the above to real-world analysis including the advancement of environmental, biochemistry and health-related research. Prerequisite(s): CHEM 1006 (no longer offered) with a minimum grade of B- , or CHEM 1002 , or CHEM 1012 , or CHEM 1101 , and ( MATH 1007 or MATH 1004 ). Lectures three hours a week, laboratory three hours a week. CHEM 2400 [0.5 credit] Independent Research I Students carry out a laboratory research project under the supervision of a faculty member from the Department of Chemistry. A research report must be submitted by the last day of classes for evaluation by the Chair and Faculty supervisor. Prerequisite(s): restricted to Honours students having second-year standing in a Chemistry program with an overall CGPA of 10.0 or higher, and approval of the Chair and a Faculty supervisor. Laboratory research for at least three hours a week over two terms. CHEM 2501 [0.5 credit] Introduction to Inorganic and Bioinorganic Chemistry The basic concepts of inorganic chemistry, including the origins of elemental properties, simple theories of bonding, intermolecular forces, main group and transition metal chemistry, coordination chemistry. Inorganic ions in biochemistry, including ion transport and storage, oxygen carriers and hydrolases, redox proteins. Prerequisite(s): CHEM 1006 (no longer offered) with a minimum grade of B- , or CHEM 1002 or CHEM 1012 . Lectures three hours a week, tutorial one hour a week. CHEM 2800 [0.5 credit] Foundations for Environmental Chemistry A basis of chemistry needed to understand the environment: composition of the atmosphere and natural waters; equilibrium; surface properties; kinetics and spectroscopy; physical and chemical properties of chemicals in the environment. Limited enrolment course. Priority is given to students in Environmental Science/Engineering. Prerequisite(s): CHEM 1006 (no longer offered) with a minimum grade of B- or CHEM 1002 , or CHEM 1012 , or CHEM 1101 , ( MATH 1007 or MATH 1004 ). Lectures three hours a week, laboratory three hours a week. CHEM 3101 [0.5 credit] Quantum Chemistry Classical equations of motion, harmonic oscillator, diatomic and polyatomic molecules, molecular mechanics, quantum mechanics, Schrödinger equation and wave functions, vibrational spectra, hydrogen atom, quantum numbers, electronic spectra, bonding in small molecules. Prerequisite(s): CHEM 2103 and MATH 2008 . Lectures three hours a week, tutorial one hour per week. CHEM 3102 [0.5 credit] Methods in Computational Chemistry Use of computers in the modeling and simulation of chemistry. Introduction to computer programming for analysis and visualization of chemical data. Calculation of chemical properties and modeling of chemical reactions using quantum chemistry. Prerequisite(s): CHEM 3101 or PHYS 3701 . Lectures and problems three hours a week. CHEM 3107 [0.5 credit] Experimental Methods in Nanoscience Thin film production and characterization, scanning electron microscopy, synthesis of metal nanoparticles and particle size determination, computational modeling of nanostructures. Prerequisite(s): CHEM 2104 or CHEM 3100. Laboratory four hours a week. CHEM 3201 [0.5 credit] Structure Elucidation Instrumental methods for determining organic structures. Selected organic reactions with emphasis on mechanisms and reactive intermediates. Prerequisite(s): CHEM 2204 or CHEM 2208 . Lectures three hours a week, tutorial one and a half hours per week. CHEM 3202 [0.5 credit] Organic Chemistry III Continued mechanistic survey of additional organic reactions with emphasis on synthetic usefulness and stereochemistry. Interspersed with selected topics such as instrumental methods, photochemistry, literature of organic chemistry, natural and synthetic polymers, heterocycles, terpenes and alkaloids. Prerequisite(s): CHEM 2204 . Lectures three hours a week, tutorial one and a half hours per week. CHEM 3205 [0.5 credit] Experimental Organic Chemistry A laboratory-based course including advanced concepts and techniques in organic synthesis, structure determination, and the rates and mechanisms of reactions. Students are responsible for literature surveys, acquisition of theoretical background, and design of experimental procedures. Prerequisite(s): CHEM 2204 and CHEM 3201 . Laboratory four hours a week. CHEM 3305 [0.5 credit] Advanced Analytical Chemistry Laboratory Advanced instrumentally based techniques of analysis. Emphasis on identification and quantitation of low-level contaminants in environmental matrices using chromatographic and spectroscopic methods, including sampling, cleanup, measurement and reporting of results. Prerequisite(s): CHEM 2302 or CHEM 2303 . Laboratory four hours a week. CHEM 3400 [0.5 credit] Independent Research II Students carry out a laboratory research project supervised by a Chemistry faculty member. A research report must be submitted by the last day of classes for evaluation by the Chair and Faculty supervisor; expectations of student performance and evaluation exceed that of CHEM 2400 . Prerequisite(s): restricted to Honours students having third-year standing in a Chemistry program with an overall CGPA of 10.0 or higher, and approval of the Chair and a Faculty supervisor. Laboratory research for at least three hours a week over two terms. CHEM 3503 [0.5 credit] Inorganic Chemistry I Symmetry, identification of Raman and infrared active vibrations, symmetry-adapted molecular orbital theory of polyatomic molecules, electron deficient bonding, bonding in coordination complexes, solid state bonding, ionic lattices. Laboratory will introduce the student to a range of synthetic techniques and physical methods of characterization. Precludes additional credit for Precludes additional credit for CHEM 3507 . Prerequisite(s): CHEM 2501 . Lectures three hours a week, tutorial one hour a week and laboratory four hours a week. CHEM 3504 [0.5 credit] Inorganic Chemistry II Physical properties of coordination complexes, ligand substitutions and electron transfer reaction mechanisms, organometallic chemistry: bonding, nomenclature and catalysis. Laboratory will introduce the student to a range of synthetic techniques and physical methods of characterization. Precludes additional credit for Precludes additional credit for CHEM 3508 . Prerequisite(s): CHEM 3503 . Lectures three hours a week, tutorial one hour a week and laboratory four hours a week. CHEM 3507 [0.5 credit] General Inorganic Chemistry I Symmetry, identification of Raman and infrared active vibrations, symmetry-adapted molecular orbital theory of polyatomic molecules, electron deficient bonding, bonding in coordination complexes, solid state bonding, ionic lattices. Precludes additional credit for Precludes additional credit for CHEM 3503 . Prerequisite(s): CHEM 2501 . Lectures three hours a week, tutorial one hour a week. CHEM 3508 [0.5 credit] General Inorganic Chemistry II Physical properties of coordination complexes, ligand substitutions and electron transfer reaction mechanisms, organometallic chemistry: bonding, nomenclature and catalysis. Precludes additional credit for Precludes additional credit for CHEM 3504 . Prerequisite(s): CHEM 3503 or CHEM 3507 . Lectures three hours a week, tutorial one hour a week. CHEM 3600 [0.5 credit] Introduction to Nanotechnology Nanoscale units, bulk vs. nanoproperties, electrons, atoms and ions, metals, band structure, electrical conduction, biosystems, molecular devices, quantum mechanics and optics, tools for measuring nanostructures. Production of nanostructures: self assembly, nanoscale crystal growth, polymerization. Applications to sensors, magnets, electronics, drug delivery. Toxicology of nanostructures. Prerequisite(s): CHEM 2104 or CHEM 3100. Lectures three hours a week. CHEM 3700 [0.5 credit] Industrial Applications of Chemistry Uses of chemistry in a number of industries: fertilizers, electrochemical, metallurgical, petrochemical, pulp and paper, plastics, pharmaceutical. Interaction of chemistry with economic, political, engineering, environmental, health, legal considerations. Guest lecturers. Prerequisite(s): ( BIOC 2300 or CHEM 2103 ) and one of CHEM 2207 or CHEM 2203 . Lecture three hours a week. CHEM 3701 [0.5 credit] Chemistry in Practice for the 21st Century Students explore different sectors of chemical industry; developments in sustainability; principles, analytical frameworks, and applications of green chemistry; environmental protections; and Canadian regulatory frameworks. Students investigate novel issues in industrial chemistry, build scientific literacy skills, and practice communicating scientific information to diverse audiences. Prerequisite(s): third-year standing in a BSc or BHSc program. Workshop three hours a week. CHEM 3800 [0.5 credit] The Chemistry of Environmental Pollutants Inorganic and organic environmental pollutants: their toxicology, production, use pattern and known effects on the environment. Aspects of risk and regulation. Chemistry involved in water and sewage treatment. Prerequisite(s): CHEM 2207 or CHEM 2203 or CHEM 2800 . Lectures three hours a week. CHEM 3999 [0.0 credit] Co-operative Work Term CHEM 4100 [0.5 credit] Advanced Topics in Physical Chemistry I Principles of Group Theory as applied to Chemistry. Point groups, character tables, symmetry orbitals, molecular orbitals, aromaticity, allowed and forbidden reactions, sandwich complexes. Selection rules in spectroscopy, molecular vibrations. Prerequisite(s): CHEM 3102 . CHEM 4101 [0.5 credit] Advanced Topics in Computational Chemistry Computer simulation of materials, liquids, and biomolecules in the framework of intermolecular forces and statistical thermodynamics. Introduction to chemoinformatics and machine learning methods in chemistry. Prerequisite(s): CHEM 3102 . Also offered at the graduate level, with different requirements, as CHEM 5122 , for which additional credit is precluded. Lectures 3 hours a week. CHEM 4103 [0.5 credit] Surface Chemistry and Nanostructures Surface structure, thermodynamics and kinetics, specifically regarding adsorption/desorption and high vacuum models. Nanoscale structures and their formation, reactivity and characterization. Thin films, carbon nanotubes, self-assembled monolayers and supramolecular aggregates. Prerequisite(s): CHEM 3600 and CHEM 3107 . Also offered at the graduate level, with different requirements, as CHEM 5108 , for which additional credit is precluded. Lectures three hours a week. CHEM 4104 [0.5 credit] Physical Methods of Nanotechnology An overview of methods used in nanotechnology. Principles of scanning probe techniques ranging from surface physics to biology. State of the art methods to create nanostructures for future applications in areas such as nanolithography, nanoelectronics, nano-optics, data storage and bio-analytical nanosystems. Prerequisite(s): CHEM 3600 and CHEM 3107 . Lectures three hours a week. CHEM 4201 [0.5 credit] Macromolecular Nanotechnology Biological and synthetic macromolecules related to nanoscale phenomena. Challenges and opportunities associated with natural and synthetic polymers on the nanoscale. Molecular recognition, self-assembled nanostructures, scaffolds and templates, functional nanomaterials, amphiphilic architectures, nanocomposites, and nanomachines. Applications to sensing, biomaterials, drug delivery, and polymer based devices. Prerequisite(s): CHEM 3600 or permission of the department. Also offered at the graduate level, with different requirements, as CHEM 5207 , CHEM 5208 , for which additional credit is precluded. Lectures three hours a week. CHEM 4202 [0.5 credit] Advanced Topics in Organic Chemistry I Topics include 2-dimensional 1H and 13CNMR spectroscopy and structure determination of complex organic molecules. Prerequisite(s): CHEM 3201 . Also offered at the graduate level, with different requirements, as CHEM 5407 , for which additional credit is precluded. CHEM 4203 [0.5 credit] Synthetic Organic Chemistry The application of reactions to the synthesis or organic molecules. Emphasis on design of synthetic sequences, new reagents, and stereoselectivity. Topics include advanced methods for synthesis and reactions of alkenes, carbonyls, and enolates, functional group interconversion, oxidation and reduction, protecting groups, rearrangements, and metal-catalyzed cross-coupling. Prerequisite(s): CHEM 3201 and CHEM 3202 . Lectures and seminars three hours a week. CHEM 4204 [0.5 credit] Organic Polymer Chemistry Introduction to basic principles of polymer chemistry, industrial and synthetic polymers, different types of polymerization and polymer characterization. Study of commodity plastics, engineering thermoplastics, and specialty polymers, with emphasis on their synthesis. Prerequisite(s): CHEM 3201 or equivalent. Also offered at the graduate level, with different requirements, as CHEM 5406 , for which additional credit is precluded. Lectures three hours a week. CHEM 4205 [0.5 credit] Reactivity and Mechanism in Organic Chemistry The application of frontier molecular orbital theory (HOMO-LUMO interactions) to organic reactions, including thermal and photochemical cycloadditions of pi-systems (including 1,3-dipoles) and rearrangements. Reactions of radicals and carbenes; conformational analysis, stereochemical effects, and methods for the determination of reaction mechanisms. Prerequisite(s): CHEM 3202 and CHEM 3503 (may be taken concurrently). Lectures and seminars three hours a week. CHEM 4206 [0.5 credit] Natural Products Chemistry A survey of the major classes of natural products with respect to their structural elucidation, synthesis, biosynthesis and bioactivity, with emphasis on compounds that have medicinal importance. Prerequisite(s): CHEM 3201 and CHEM 3202 ,. Lectures and seminars three hours a week. CHEM 4207 [0.5 credit] Bio-Organic Chemistry The course covers chemical and biosynthetic methods applied to the major classes of biomolecules and their derivatives, including: carbohydrates, amino acids, peptides, proteins, nucleic acids, lipids, terpenes, heterocycles and natural products. Content will focus on reactions and mechanisms that contribute to their biological activities. Also listed as BIOC 4207 . Prerequisite(s): CHEM 3201 or permission of the department. Also offered at the graduate level, with different requirements, as CHEM 5010 ., for which additional credit is precluded. Lectures three hours a week. CHEM 4301 [0.5 credit] Advanced Topics in Analytical Chemistry I Analytical chemistry of trace and ultratrace elements/compounds. Special requirements for quantitative determination by various instrumental methods. Control of contamination and blanks. Analytical method development to improve selectivity, sensitivity and detection limit. Strength and limitations of each instrument. Optimization of all operating parameters. Prerequisite(s): CHEM 2103 and one of CHEM 2302 or CHEM 2303 . Also offered at the graduate level, with different requirements, as CHEM 5607 , for which additional credit is precluded. Lectures and seminars three hours a week. CHEM 4302 [0.5 credit] Advanced Topics in Analytical Chemistry II Solutions and separations in analytical chemistry. Stability of aqueous solutions of standards and samples. Complex formation, multi-step and competing equilibria and their application to the design of selective methods of separation and determination. Electroanalytical techniques. Electroanalytical chemistry of aqueous solutions. Phase equilibria and solvent extraction. Prerequisite(s): CHEM 2103 and one of CHEM 2302 or CHEM 2303 . Lectures and seminars three hours a week. CHEM 4304 [0.5 credit] Advanced Applications In Mass Spectrometry Detailed breakdown of the physical, electrical and chemical operation of mass spectrometers. Applications in MS ranging from the analysis of small molecules to large biological macromolecules. Descriptions of the use of mass spectrometry in industry as well as commercial opportunities in the field. Prerequisite(s): CHEM 2103 or BIOC 2300 , and one of CHEM 2302 or CHEM 2303 . Also offered at the graduate level, with different requirements, as CHEM 5109 , for which additional credit is precluded. Lectures and seminars three hours a week. CHEM 4305 [0.5 credit] Environmental Chemistry and Toxicology Overview of environmental chemistry and toxicology principles including chemical sources, fate, and effects in the environment. Examining organic reactions occurring in abiotic environments and biological systems, and studying aspects of toxicant disposition and biotransformation. Emphasis on contemporary problems in human health and the environment. Prerequisite(s): CHEM 2203 or CHEM 2207 , and CHEM 2800 or CHEM 2103 , or BIOC 3101 or permission of the department. Also offered at the graduate level, with different requirements, as CHEM 5606 , for which additional credit is precluded. Lectures three hours a week. CHEM 4401 [0.5 credit] Physical Aspects of Biochemistry Chemistry, structure and function of nucleic acids, proteins, carbohydrates, and lipids. Thermodynamics of biological systems, chemical mechanisms and organic transformations. Intended for Chemistry Majors. Precludes additional credit for Precludes additional credit for BIOC 2200 , BIOL 2200 , BIOC 3101 , CHEM 3401 (no longer offered). Prerequisite(s): CHEM 2103 and CHEM 2204 . Lectures three hours a week. CHEM 4406 [0.5 credit] Pharmaceutical Drug Design Important elements of rational drug design. Ligand-receptor interactions, structure-activity relationships, molecular modeling of pharmacophores, structure and mechanism-based approaches to drug design. Enzyme inhibition in chemotherapy and design of anti-viral drugs. Prerequisite(s): CHEM 2103 and ( CHEM 2203 or CHEM 2207 ), BIOC 3101 and ( BIOC 3102 or BIOC 3008). Lectures and laboratory five hours a week. CHEM 4407 [0.5 credit] Polymer Modeling Polymer architectures; Flexible and rigid rod polymers; Rotational isomeric states (RIS); Molecular mechanics, Ramachandran Map, Helix parameters; internal and external parameters; regular and random coil structures; molecular dynamics; calculation of end-to-end distance, NMR chemical shifts; conformational entropy and properties. Prerequisite(s): MATH 1107 and CHEM 2204 or permission of the department. Lectures three hours per week. CHEM 4502 [0.5 credit] Radiochemistry A study of nuclear stability and decay; chemical studies of nuclear phenomena. Applications of radioactivity. Prerequisite(s): CHEM 2302 , CHEM 2303 , and CHEM 3100, or permission of the Department. Also offered at the graduate level, with different requirements, as CHEM 5905 , for which additional credit is precluded. Lectures and seminars three hours a week. CHEM 4503 [0.5 credit] Advanced Topics in Inorganic Chemistry I A quantitave basis for ligand field theory; unreal and real wavefunctions of d-orbitals; derivation of the energies of d-orbitals using variational principle, secular determinants, and ligned field operators; the effect of ligand field on free ion term symbols, wavefunction descriptions of terms symbols; applications. Prerequisite(s): CHEM 3504 and CHEM 3101 . Lectures three hours a week. CHEM 4504 [0.5 credit] Advanced Topics in Inorganic Chemistry II Reactivity of inorganic coordination compounds. Thermodynamic and kinetic factors affecting reactivity. Industrial and biochemical processes catalyzed by metal coordination compounds. Experimental methodologies, data analysis and rate law evaluation used to obtain reaction mechanisms leading to improved methods of catalysis. Prerequisite(s): CHEM 3504 or equivalent. Lectures three hours a week. CHEM 4505 [0.5 credit] Application of Physical Methods to Electron Transfer Chemistry Spectroscopic techniques (i.e. UV-visible NIR, IR, EPR) and electrochemistry methods that are used to study photochemical and thermal intermolecular and intramolecular electron transfer in transition metal complexes are presented. Electron transfer theory and redox-active (non-innocent) ligands are discussed. Prerequisite(s): CHEM 3504 . Lectures three hours a week. CHEM 4700 [0.5 credit] Special Topics in Chemistry A topic of current interest in any branch of chemistry. Only one special topics course may be presented for credit. Prerequisite(s): permission of the Department. CHEM 4800 [0.5 credit] Atmospheric Chemistry Properties of natural atmospheric constituents; biogeochemical cycles involving gases; chemical reactions in the atmosphere; anthropogenic atmospheric pollutants (e.g., chlorofluorocarbons, sulphur and nitrogen oxides, photochemical smog sources and effects on the biosphere. Relation between the structure of molecules and their spectral and reactive properties. Prerequisite(s): CHEM 2103 or CHEM 2800 . Also offered at the graduate level, with different requirements, as CHEM 5011 , for which additional credit is precluded. Lectures three hours a week. CHEM 4907 [1.0 credit] Honours Essay and Research Proposal Students conduct an independent research study using library resources, and prepare a critical review and study proposal on a topic approved by a faculty supervisor. A written report and oral poster presentation of the work are required before a grade can be assigned. Precludes additional credit for Precludes additional credit for CHEM 4908 , FOOD 4907 and FOOD 4908 . Prerequisite(s): fourth year standing in an Honours Chemistry program and permission of the department. CHEM 4908 [1.0 credit] Research Project and Seminar Senior students in Honours Chemistry carry out a research project under the direction of one of the members of the Department. A written report and an oral presentation of the work are required before a grade can be assigned. Precludes additional credit for Precludes additional credit for CHEM 4907 , FOOD 4907 and FOOD 4908 . Prerequisite(s): any two of CHEM 3107 , CHEM 3205 , CHEM 3305 and CHEM 3504 , or permission of the department. Laboratory and associated work equivalent to at least eight hours a week for two terms. Note: Not all courses listed are offered in a given year. For an up-to-date statement of course offerings for the current session and to determine the term of offering, consult the class schedule at central.carleton.ca . Summer session: some of the courses listed in this Calendar are offered during the summer. Hours and scheduling for summer session courses will differ significantly from those reported in the fall/winter Calendar. To determine the scheduling and hours for summer session classes, consult the class schedule at central.carleton.ca B.Sc. Regulations The regulations presented in this section apply to all Bachelor of Science programs. In addition to the requirements presented here, students must satisfy the University regulations common to all undergraduate students including the process of Academic Continuation Evaluation (see the Academic Regulations of the University section of this Calendar). Breadth Requirement for the B.Sc. Students in a Bachelor of Science program must present the following credits at graduation: 2.0 credits in Science Continuation courses not in the major discipline; students completing a double major are considered to have completed this requirement providing they have 2.0 credits in Science Continuation courses in each of the two majors; 2.0 credits in courses outside of the faculties of Science and Engineering and Design (may include ISAP 1000) In most cases, the requirements for individual B.Sc. programs, as stated in this Calendar, contain these requirements, explicitly or implicitly. Students admitted to B.Sc. programs by transfer from another institution must present at graduation (whether taken at Carleton or elsewhere): 2.0 credits in courses outside of the faculties of Science and Engineering and Design (may include ISAP 1000) if the student received fewer than 10.0 transfer credits; or, 1.0 credit in courses outside of the faculties of Science and Engineering and Design (may include ISAP 1000) if the student received 10.0 or more transfer credits. Declared and Undeclared Students Degree students are considered "Undeclared" if they have been admitted to a degree, but have not yet selected and been accepted into a program within that degree. The status "Undeclared" is available only in the B.A. and B.Sc. degrees. Undeclared students must apply to enter a program upon or before completing 3.5 credits. Change of Program within the B.Sc. Degree To transfer to a program within the B.Sc. degree, applicants must normally be Eligible to Continue (EC) in the new program, by meeting the CGPA thresholds described in Section 3.1.9 of the Academic Regulations of the University. Applications to declare or change programs within the B.Sc. degree must be made online through Carleton Central by completing a Change of Program Elements (COPE) application form within the published deadlines. Acceptance into a program, or into a program element or option, is subject to any enrolment limitations, and/or specific program, program element or option requirements as published in the relevant Calendar entry. Minors, Concentrations, and Specializations Students may add a Minor, Concentration, or Specialization by completing a Change of Program Elements (COPE) application form online through Carleton Central. Acceptance into a Minor, Concentration, or Specialization normally requires that the student be Eligible to Continue (EC) and is meeting the minimum CGPAs described in Section 3.1.9 of the Academic Regulations of the University , as well as being subject to any specific requirements of the intended Minor, Concentration, or Specialization as published in the relevant Calendar entry. Experimental Science Requirement Students in a B.Sc. degree program must present at graduation at least two full credits of Experimental Science chosen from two different departments or institutes from the list below: Approved Experimental Science Courses Biochemistry BIOC 2200 [0.5] Cellular Biochemistry BIOC 3103 [0.5] Experimental Biochemistry I: Principles and Practices BIOC 3104 [0.5] Experimental Biochemistry II: Research Experience BIOC 4001 [0.5] Methods in Biochemistry BIOC 4201 [0.5] Advanced Cell Culture and Tissue Engineering Biology BIOL 1103 [0.5] Foundations of Biology I BIOL 1104 [0.5] Foundations of Biology II BIOL 2001 [0.5] Animals: Form and Function BIOL 2002 [0.5] Plants: Form and Function BIOL 2104 [0.5] Introductory Genetics BIOL 2200 [0.5] Cellular Biochemistry BIOL 2600 [0.5] Ecology Chemistry CHEM 1001 [0.5] General Chemistry I CHEM 1002 [0.5] General Chemistry II CHEM 2103 [0.5] Physical Chemistry I CHEM 2203 [0.5] Organic Chemistry I CHEM 2204 [0.5] Organic Chemistry II CHEM 2302 [0.5] Analytical Chemistry I CHEM 2303 [0.5] Analytical Chemistry II CHEM 2800 [0.5] Foundations for Environmental Chemistry Earth Sciences ERTH 1002 [0.5] The Earth and Life Odyssey: A Journey Through Billions of Years ERTH 2102 [0.5] Mineralogy to Petrology ERTH 2404 [0.5] Engineering Geoscience ERTH 2802 [0.5] Field Geology I ERTH 3111 [0.5] Vertebrate Evolution: Mammals, Reptiles, and Birds ERTH 3112 [0.5] Vertebrate Evolution: Fish and Amphibians ERTH 3204 [0.5] Mineral Deposits ERTH 3205 [0.5] Physical Hydrogeology Food Sciences FOOD 3001 [0.5] Food Chemistry FOOD 3002 [0.5] Food Analysis FOOD 3005 [0.5] Food Microbiology Geography GEOG 1010 [0.5] Global Environmental Systems GEOG 3108 [0.5] Soil Properties Neuroscience NEUR 3206 [0.5] Sensory and Motor Neuroscience NEUR 3207 [0.5] Systems Neuroscience NEUR 4600 [0.5] Advanced Lab in Neuroanatomy Physics PHYS 1001 [0.5] Foundations of Physics I PHYS 1002 [0.5] Foundations of Physics II PHYS 1003 [0.5] Introductory Mechanics and Thermodynamics PHYS 1004 [0.5] Introductory Electromagnetism and Wave Motion PHYS 1007 [0.5] Elementary University Physics I PHYS 1008 [0.5] Elementary University Physics II PHYS 2007 [0.5] Second Year Physics Laboratory: Selected Experiments and Seminars PHYS 3007 [0.5] Third Year Physics Laboratory: Selected Experiments and Seminars PHYS 3606 [0.5] Modern Physics II PHYS 3608 [0.5] Modern Applied Physics Course Categories for B.Sc. Programs
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Cognitive Science

2026-27

  • Program Requirements Cognitive Science with Concentration in Philosophical and Conceptual Issues Bachelor of Cognitive Science Honours (20.0 credits) A. Credits Included in the Major CGPA (15.5 credits) 1. 1.0 credit from: 1.0 CGSC 1001 [0.5] Mysteries of the Mind FYSM 1604 [0.5] Cognitive Science: Understanding the Mind FYSM 1607 [1.0] Cognitive Science: Thinking and Knowing PHIL 1301 [0.5] Mind, World, and Knowledge 2. 1.0 credit in: 1.0 CGSC 2001 [0.5] Theories in Cognitive Science CGSC 2002 [0.5] Methods in Cognitive Science 3. 1.5 credits in: 1.5 CGSC at the 3000-level or above 4. 0.5 credit from: 0.5 CGSC 1005 [0.5] Computational Methods in Cognitive Science COMP 1005 [0.5] Introduction to Computer Science I 5. 0.5 credit in: 0.5 CGSC 3601 [0.5] Artificial Intelligence and Cognitive Science 6. 0.5 credit in: 0.5 LING 1001 [0.5] Introduction to Linguistics I 7. 1.0 credit in: 1.0 LING 2005 [0.5] Linguistic Analysis LING 2007 [0.5] Phonetics 8. 1.0 credit in: 1.0 PHIL 2001 [0.5] Introduction to Logic PHIL 2501 [0.5] Introduction to Philosophy of Mind 9. 0.5 credit from: 0.5 CGSC 3004 [0.5] Philosophy and Cognitive Science CGSC 3603 [0.5] Artificial Intelligence: Philosophical and Ethical Issues PHIL 2301 [0.5] Introduction to the Philosophy of Science PHIL 2504 [0.5] Language and Communication PHIL 3104 [0.5] The Roots of Analytic Philosophy PHIL 3301 [0.5] Issues in the Philosophy of Science PHIL 3306 [0.5] Symbolic Logic PHIL 3501 [0.5] Philosophy of Cognitive Science PHIL 3502 [0.5] Mind and Action PHIL 3504 [0.5] Pragmatics PHIL 3506 [0.5] Semantics PHIL 3530 [0.5] Philosophy of Language 10. 1.5 credits in: 1.5 PSYC 1001 [0.5] Introduction to Psychology I PSYC 1002 [0.5] Introduction to Psychology II PSYC 2700 [0.5] Introduction to Cognitive Psychology 11. 0.5 credit from: 0.5 NEUR 1202 [0.5] Neuroscience of Mental Health and Psychiatric Conditions PSYC 2307 [0.5] Human Neuropsychology I 12. 1.5 credits from: 1.5 a. Thesis pathway CGSC 3908 [0.5] Honours Seminar in Cognitive Science CGSC 4908 [1.0] Honours Thesis OR b. Project pathway CGSC 4909 [1.0] Honours Project and 0.5 credit in CGSC at the 3000-level or above OR c. Coursework pathway 1.5 credits in CGSC at the 3000-level or above 13. 4.5 credits in the concentration: 4.5 a. 4.0 credits from: CGSC 3004 [0.5] Philosophy and Cognitive Science CGSC 3603 [0.5] Artificial Intelligence: Philosophical and Ethical Issues PHIL 2301 [0.5] Introduction to the Philosophy of Science PHIL 2504 [0.5] Language and Communication PHIL 2540 [0.5] Personal Identity and the Self PHIL 3104 [0.5] The Roots of Analytic Philosophy PHIL 3140 [0.5] Epistemology PHIL 3301 [0.5] Issues in the Philosophy of Science PHIL 3306 [0.5] Symbolic Logic PHIL 3501 [0.5] Philosophy of Cognitive Science PHIL 3502 [0.5] Mind and Action PHIL 3504 [0.5] Pragmatics PHIL 3506 [0.5] Semantics PHIL 3530 [0.5] Philosophy of Language b. 0.5 credit from: PHIL 4055 [0.5] Lexical Semantics PHIL 4210 [0.5] Seminar in Philosophy of Language or Linguistics PHIL 4220 [0.5] Seminar in philosophy of Mind or Cognition PHIL 4230 [0.5] Seminar in Metaphysics, Epistemology, or Philosophy of Science PHIL 4503 [0.5] Special Topic in Philosophy of Computing PHIL 4505 [0.5] Formal Semantics B. Credits not included in the Major (4.5 credits) 14. 4.5 credits in free electives. 4.5 Total Credits 20.0 Note: normally, students may not offer more than one credit of independent study (eg. CGSC 4801 Independent Study and CGSC 4802 Independent Study ) in their total program, including independent study credits taken through other departments. Cognitive Science with Concentration in Language and Linguistics Bachelor of Cognitive Science Honours (20.0 credits)
  • Cognitive Science with Concentration in the Biological Foundations of Cognition Bachelor of Cognitive Science Honours (20.0 credits)
  • Cognitive Science with Concentration in Cognition and Psychology Bachelor of Cognitive Science Honours (20.0 credits)
  • Cognitive Science with Concentration in Cognition and Computation Bachelor of Cognitive Science Honours (20.0 credits)
  • Cognitive Science Bachelor of Cognitive Science (15.0 credits)
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Earth Sciences

2026-27

  • Program Requirements Course Categories for Earth Sciences Programs The program descriptions below make use of the following course categories that are defined in the Academic Regulations for the Bachelor of Science Degree section of this Calendar. Science Faculty Electives Advanced Science Faculty Electives Science Continuation Courses Science Geography Science Psychology Approved Courses Outside the Faculties of Science and Engineering and Design Free Elective Earth Sciences B.Sc. Honours (20.0 credits)
  • Earth Sciences with Concentration in Environmental Geosciences B.Sc. Honours (20.5 credits)
  • Earth Sciences B.Sc. Major (20.0 credits)
  • Earth Sciences B.Sc. (15.0 credits)
  • Earth Sciences in Vertebrate Paleontology and Paleoecology B.Sc. Honours (20.0 credits)
  • Earth Sciences in Vertebrate Paleontology and Paleoecology B.Sc. Major (20.0 credits)
  • Earth Sciences and Physical Geography B.Sc. Combined Honours (20.0 credits)
  • Approved Electives - B.Sc. Earth Sciences and Physical Geography
  • Biology and Earth Sciences B.Sc. Combined Honours (20.0 credits)
  • Chemistry and Earth Sciences B.Sc. Combined Honours (20.0 credits)
  • Minor in Earth Sciences: Earth Resources and Processes (4.0 credits) The Minor is available to students registered in degree programs other than those offered by the Department of Earth Sciences. Students are required to present a Minor CGPA of 4.00 or higher at graduation in order to be awarded a Minor in Earth Sciences: Earth Resources and Processes. Requirements 1. 0.5 credit in: 0.5 ERTH 1002 [0.5] The Earth and Life Odyssey: A Journey Through Billions of Years 2. 1.0 credit from: 1.0 ERTH 2102 [0.5] Mineralogy to Petrology ERTH 2105 [0.5] Geodynamics ERTH 2314 [0.5] Sedimentation and Stratigraphy ERTH 2316 [0.5] Paleoecology 3. 1.5 credit in ERTH at the 2000-level or higher 1.5 4. 1.0 credit in ERTH at the 3000-level or higher 1.0 Total Credits 4.0 Earth Sciences (ERTH) Courses ERTH 1002 [0.5 credit] The Earth and Life Odyssey: A Journey Through Billions of Years Embark on a thrilling journey through Earth's epic history! Discover the groundbreaking events and powerful forces that shaped our planet, revealing the dramatic story behind the world we live in today. Precludes additional credit for Precludes additional credit for ERTH 1004 , ERTH 1006 (no longer offered), ERTH 1009 (no longer offered), ERTH 1010 (no longer offered) and ERTH 1011 (no longer offered). Prerequisite(s): a 4U/M level in Advanced Functions and at least one of Biology, Chemistry, Earth and Space Sciences or Physics are recommended. This course is for students who are enrolled in the Faculty of Science. Lectures three hours a week, a laboratory three hours per week, and a field excursion. ERTH 1004 [0.5 credit] Earth's Epic Tale: A Story Across Billions of Years Embark on a thrilling journey through Earth's epic history! Discover the groundbreaking events and powerful forces that shaped our planet, revealing the dramatic story behind the world we live in today. Precludes additional credit for Precludes additional credit for ERTH 1002 , ERTH 1006 (no longer offered), ERTH 1009 (no longer offered), ERTH 1010 (no longer offered) and ERTH 1011 (no longer offered). Prerequisite(s): a 4U/M level in Advanced Functions and at least one of Biology, Chemistry, Earth and Space Sciences or Physics are recommended. This course is for students who are not enrolled in the Faculty of Science except the Bachelor of Computer Science. Lectures three hours a week. ERTH 2004 [0.5 credit] Maps, Satellites and the Geospatial Revolution Introduction to the creation and use of maps using a variety of geospatial tools to better understand and resolve physical, social and environmental problems. Overview of geomatics (cartography and map design, geographic information systems, GPS, remote sensing). Also listed as GEOM 1004 . Precludes additional credit for Precludes additional credit for GEOM 2004 (no longer offered). Lectures and laboratory, four hours a week. ERTH 2012 [0.5 credit] Planet Hollywood Earth Science concepts and content portrayed in Hollywood films are sometimes accurate but more frequently misrepresented. This course will examine popular Hollywood films to critically evaluate the Earth Science concepts and content that they present and directly compare them to the actual science. Online modules, bi-weekly film screenings and discussions four hours per week. ERTH 2102 [0.5 credit] Mineralogy to Petrology Chemical, optical and crystallographic properties of common rock-forming minerals, with introduction to common mineral assemblages of igneous, sedimentary, and metamorphic rocks. Precludes additional credit for Precludes additional credit for ERTH 3202 (no longer offered). Prerequisite(s): ERTH 1002 , CHEM 1001 , and CHEM 1002 . Lectures two hours a week and laboratory three hours a week. ERTH 2105 [0.5 credit] Geodynamics The structure, composition, and rheological properties of the Earth: lithosphere, mantle and core. Plate tectonics and its relation to geophysical fields, driving mechanisms, and processes at plate boundaries and in plate interiors. Precludes additional credit for Precludes additional credit for ERTH 3805 (no longer offered). Prerequisite(s): ERTH 1002 or GEOG 2013 . Lectures two hours a week and a laboratory three hours a week. ERTH 2106 [0.5 credit] Geochemistry This course looks at geochemical processes from deep Earth to surface environments, and the use of geochemical pathways in order to better understand the Earth’s history. Precludes additional credit for Precludes additional credit for ERTH 3003 (no longer offered). Prerequisite(s): ERTH 1002 , CHEM 1001 and CHEM 1002 . Lecture 1.5 hours per week, a laboratory three hours per week. ERTH 2312 [0.5 credit] Paleontology Introduction to macrofossil and microfossil groups, their paleoenvironmental significance, and principles of evolutionary paleoecology. Precludes additional credit for Precludes additional credit for ERTH 2316 , GEOL 2301 (no longer offered) and GEOL 2306 (no longer offered). Prerequisite(s): ERTH 1002 or GEOG 2013 . Lectures two hours a week and a laboratory three hours a week. ERTH 2314 [0.5 credit] Sedimentation and Stratigraphy Origin of sediments and their transport, distribution, and primary structures; processes of sediment-to-rock transformation; spatial patterns; controls of stratigraphy; methods of correlation. Precludes additional credit for Precludes additional credit for ERTH 2318 (no longer offered). Prerequisite(s): ERTH 1002 or GEOG 2013 . Lectures three hours a week and a laboratory three hours a week. ERTH 2316 [0.5 credit] Paleoecology Introduction to macrofossil and microfossil groups, their paleoenvironmental significance, and principles of evolutionary paleoecology. Precludes additional credit for Precludes additional credit for ERTH 2312 . Not available for credit in B.Sc. Earth Sciences programs. Lectures two hours a week. ERTH 2401 [0.5 credit] Dinosaurs A general introduction to dinosaurs, their place in evolution, their social behaviour, the Mesozoic landscape and extinction theories. Lectures three hours a week. ERTH 2402 [0.5 credit] Climate Change: An Earth Sciences Perspective An exploration of the often dramatic climate changes that have occurred through earth history from a geological perspective, emphasizing the history of earth climates, geological causes of climate change and impact that rapid climate change has had on the biosphere. Precludes additional credit for Precludes additional credit for ERTH 2422 . Lectures three hours a week. ERTH 2403 [0.5 credit] Introduction to Oceanography An environmental approach to understanding the oceans; introducing the physical and biological aspects of oceanography, marine resources and marine pollution. Lectures three hours per week. ERTH 2404 [0.5 credit] Engineering Geoscience Applications of the basic concepts of geology, earth materials and earth processes to practical engineering and environmental science. Topics include rock and soil mechanics, slope stability, hydrogeology, geological hazards, and site investigations. Overview of related geophysical methods. Precludes additional credit for Precludes additional credit for ERTH 2414 (no longer offered), ERTH 1006 (no longer offered) and ERTH 1010 (no longer offered). Prerequisite(s): This course is restricted to students in the B.Eng program. Lectures three hours a week and a laboratory three hours a week. ERTH 2407 [0.5 credit] Structural Geology Structures and deformation of earth materials. Topics include stress, strain, folding and faulting. Precludes additional credit for Precludes additional credit for ERTH 3806 (no longer offered). Prerequisite(s): ERTH 1002 and ERTH 2102 . Lecture three hours a week and a laboratory 3 hours a week. ERTH 2415 [0.5 credit] Natural Disasters Physical characteristics and causes of natural disasters of geological origin such as volcanic eruptions, earthquakes, tsunami, landslides, hurricanes and meteor impacts. Discussion on historical perspective, societal impact and mitigation strategies. Emphasis on Canadian case histories. Precludes additional credit for Precludes additional credit for ERTH 1003 (no longer offered). Prerequisite(s): second-year standing in any degree program. With the exception of the Minor in Earth Sciences, available as a free elective only in any B.Sc. program, including Earth Sciences. Lectures three hours a week. ERTH 2419 [0.5 credit] On the Origin of Planets Origin and evolution of all planetary objects in the solar system. Topics include the geology of comets, asteroids, the terrestrial planets and rocky moons, Earth's formation and early evolution, ocean worlds, the search for exoplanets and detection of extraterrestrial life. Lectures three hours a week. ERTH 2420 [0.5 credit] UNESCO World Geoparks and Geoheritage Development of the geologic sciences and enhanced knowledge of the Earth and its history through the lens of inspiring and extraordinary global geological sites that have contributed significantly to science and culture. Lectures three hours a week. ERTH 2421 [0.5 credit] A Geologic Tour of the National Parks of North America An introduction to the geology of North America's National parks, the ultimate awe-inspiring educational experience, and how these parks collectively tell the story of the processes that have shaped the continent. Lectures three hours a week. ERTH 2422 [0.5 credit] Drivers of Climate Change through Geological Time A survey of Earth's 4.5-billion-year climate history, focusing on the use of geologic data to understand the drivers of climate change and their impact on the development of the lithosphere, hydrosphere, atmosphere, and biosphere. Course includes experiential learning assignments. Precludes additional credit for Precludes additional credit for ERTH 2402 . Lecture three hours per week; also includes additional online synchronous/asynchronous experiential learning practicum. ERTH 2802 [0.5 credit] Field Geology I Field analysis using geological, geophysical and computational methods leading to the interpretation of the origins of geological features and processes. Prerequisite(s): ERTH 2314 and ERTH 2407 and permission of the department. Field work for two weeks off campus. A supplementary fee will apply. ERTH 3004 [0.5 credit] Igneous Petrology Origins and evolution of igneous rocks through partial melting, crystallization, degassing, and assimilation of host rocks. Phase diagrams and classification schemes will be used to provide systematic tools for the description and interpretation of igneous rocks. Precludes additional credit for Precludes additional credit for ERTH 2104 (no longer offered). Prerequisite(s): ERTH 2102 . Lecture three hours per week, a laboratory three hours per week. ERTH 3111 [0.5 credit] Vertebrate Evolution: Mammals, Reptiles, and Birds Evolution of mammals, reptiles and birds. Emphasis on surveying amniote diversity, and the origin of key amniote transformations, as evidenced by the fossil record. Also listed as BIOL 3111 . Prerequisite(s): ERTH 1002 or BIOL 2001 . Lectures two hours a week and a laboratory three hours a week. ERTH 3112 [0.5 credit] Vertebrate Evolution: Fish and Amphibians Evolution of fish and amphibians. Emphasis on surveying fish and amphibian diversity, and the origin of key transformations of these groups, as evidenced by the fossil record. Also listed as BIOL 3112 . Prerequisite(s): ERTH 1002 or BIOL 2001 . Lectures two hours a week and a laboratory three hours a week. ERTH 3113 [0.5 credit] Geology of Human Origins The origin and evolution of our species from geological, biological and cultural perspectives. The course traces human ancestry from our primate roots through time and changing environments, and explores controversies, frauds, and misperceptions. Prerequisite(s): any 1000 or 2000 level Earth Sciences or Biology course. Lectures three hours per week. ERTH 3114 [0.5 credit] Evolution of Mammals, Reptiles and Birds Evolution of mammals, reptiles and birds. Emphasis on surveying amniote diversity, and the origin of key amniote transformations, as evidences by the fossil record. Precludes additional credit for Precludes additional credit for ERTH 3111 and BIOL 3111 . Prerequisite(s): any 1000- or 2000-level Earth Sciences or Biology course. Lectures two hours per week. ERTH 3115 [0.5 credit] Evolution of Fish and Amphibians Evolution of fish and amphibians. Emphasis on surveying fish and amphibian diversity and the origin of key transformations of these groups, as evidenced by the fossil record. Precludes additional credit for Precludes additional credit for ERTH 3112 and BIOL 3112 . Prerequisite(s): any 1000- or 2000-level Earth Sciences or Biology course. Lectures two hours per week. ERTH 3204 [0.5 credit] Mineral Deposits Analysis and interpretation of the geological and geochemical processes responsible for mineral deposit genesis in a global context. Prerequisite(s): ERTH 2102 and ERTH 2106 . Lectures two hours and a laboratory three hours a week. ERTH 3205 [0.5 credit] Physical Hydrogeology Principles of deep- to shallow fluid flow within the Earth's crust, and introduction to the exploration, development and management of groundwater as a global resource. Prerequisite(s): ERTH 1002 or GEOG 2013 . Lecture three hours a week and a laboratory three hours a week. ERTH 3207 [0.5 credit] Metamorphic Petrology and Processes Genesis of metamorphic rocks as determined from field, petrographic and geochemical data. Precludes additional credit for Precludes additional credit for ERTH 3202 (no longer offered). Prerequisite(s): ERTH 2102 . Lectures two hours a week, a laboratory three hours a week and a field excursion. ERTH 3405 [0.5 credit] Geophysical Methods An introduction to the tools of applied geophysics including seismology, electrical, magnetic, and gravitational surveying methods. Precludes additional credit for Precludes additional credit for ERTH 2405 (no longer offered). Prerequisite(s): ERTH 2105 . Lecture two hours a week and a laboratory three hours a week. ERTH 3703 [0.5 credit] Isotope Geochemistry and Geochronology This course looks at stable and radiogenic isotope systematics applied to different Earth environments. Students will delve into geochronological techniques and their applications, and apply the principles of elemental and isotopic fractionation to investigate several geological processes. Precludes additional credit for Precludes additional credit for ERTH 4803 (no longer offered). Prerequisite(s): ERTH 2106 . Lecture 1.5 hours per week, a laboratory three hours per week. ERTH 3999 [0.0 credit] Co-operative Work Term ERTH 4003 [0.5 credit] Directed Studies in Earth Sciences One or more projects involving at least 15 days field and/or laboratory research, not related to thesis research. Assessment based on written reports and an oral presentation. Expenses for long-distance travel are borne by the student. Prerequisite(s): fourth-year standing in any B.Sc. Hons. or Combined Hons. program in Earth Sciences. Schedule to be arranged. ERTH 4004 [0.5 credit] Special Topics in Earth Sciences Field, laboratory or literature research, not related to thesis research. Assessment based on written reports and an oral presentation. Expenses for travel are borne by the student. Prerequisite(s): fourth-year standing in any B.Sc. Hons. or Combined Hons. program in Earth Sciences. Major CGPA 8.5 or higher at time of registration for the course. Schedule to be arranged. ERTH 4006 [0.5 credit] Field Environmental Geobiology Exploration of the relationship between micro- and macro-ecological and evolutionary processes and the Earth's physical and chemical environment. Paleobiology and evolutionary ecology in the context of paleoceanography, paleolimnology and/or paleoclimatology. Will include one or two weeks of field based instruction with costs borne by student. Prerequisite(s): 2nd year standing in a Faculty of Science program and permission of the Department. Field work off campus. ERTH 4007 [0.5 credit] Evolutionary Developmental Paleobiology This course explores the mechanistic basis of organismic evolution from genetic, morphogenetic and epigenetic perspectives, within a phylogenetic context of living and extinct vertebrates. Precludes additional credit for Precludes additional credit for BIOL 4007 . Prerequisite(s): ERTH 2312 or BIOL 2001 , and BIOL 2104 . Lectures or seminars three hours per week. ERTH 4008 [0.5 credit] Topics in Paleobiology and Evolution This multidisciplinary seminar course investigates various topics in paleobiology, paleoecology and evolutionary theory. Prerequisite(s): 3rd year standing in any Faculty of Science program. Lectures and seminar discussion, three hours per week ERTH 4107 [0.5 credit] Geotechnical Mechanics Soil composition and soil classification. Soil properties, compaction, seepage and permeability. Concepts of pore water pressure, capillary pressure and hydraulic head. Principle of effective stress, stress-deformation and strength characteristics of soils, consolidation, stress distribution with soils, and settlement. Laboratory testing. Also listed as CIVE 3208 . Prerequisite(s): ERTH 3405 . Lectures three hours a week, laboratory three hours alternate weeks. ERTH 4206 [0.5 credit] Contaminant and Remediation Hydrogeology Geochemical and physical processes controlling contaminant release, migration, and fate in groundwater along with the processes and techniques used for contaminant mitigation and remediation. Examples will include organic and inorganic contaminants in a variety of settings. Prerequisite(s): ERTH 2106 and ERTH 3205 . Lectures three hours per week and a laboratory three hours per week. ERTH 4207 [0.5 credit] Environmental Isotopes Isotope applications in environmental and Earth sciences. Emphasis is placed current and novel environmental applications including contaminant tracing, hydrogeological studies, and (bio)geochemical cycling of elements. Mechanisms of stable isotope fractionation and analysis are presented. Student-led projects will explore the broad realm of isotope studies. Also listed as ENSC 4207 . Prerequisite(s): CHEM 1001 and CHEM 1002 , and fourth-year standing or permission of the department. Also offered at the graduate level, with different requirements, as ERTH 5403 , for which additional credit is precluded. lecture three hours a week. ERTH 4209 [0.5 credit] Mineral Exploration Field Geology Introduction to the essentials of conducting geological mapping campaign in the Canadian Shield in a field area that has seen considerable industry exploration for volcanogenic massive sulfide mineralization. Activities include outcrop and trench mapping, strain analysis, interpretation of geophysical data, drilling proposals, report writing. Precludes additional credit for Precludes additional credit for ERTH 3209. Prerequisite(s): ERTH 2407 or ERTH 3004 and ERTH 3207 . Field work for two weeks off-campus. A supplementary fee will apply. ERTH 4302 [0.5 credit] Frozen Earth: Unveiling the Snowball Earth Catastrophe Discover how icy cataclysms shaped our planet through Earth’s most extreme climate event: Snowball Earth! We will explore this theory's origins, examine compelling geologic and geochemical evidence, and dive into topics such as glacial sedimentology, the carbon cycle, evolution, and more on this thrilling adventure. Prerequisite(s): ERTH 2314 or permission of the department. Also offered at the graduate level, with different requirements, as ERTH 5302 , for which additional credit is precluded. Lectures three hours per week. ERTH 4305 [0.5 credit] Advanced Sedimentary Geology and Earth History The origin, composition and diagenesis of sedimentary rocks throughout Earth history. Study of modern and ancient sedimentary systems; development of facies models; petrographic and geochemical analysis of sedimentary rocks. Prerequisite(s): ERTH 2314 . Lecture two hours a week and a laboratory three hours a week. ERTH 4507 [0.5 credit] Advanced Petrology Analysis of the physical and chemical conditions, rock-forming processes, as well as the tectonic settings, that control the formation of different rock types. May include one to two weeks of field-based instruction, with costs borne by the student. Prerequisite(s): ERTH 3207 . Field excursions, lectures or seminars three hours per week. ERTH 4801 [0.5 credit] Physics of the Earth The physical properties of the solid Earth. Gravitational, magnetic and palaeomagnetic fields; seismology and earthquake occurrence; heat flow and thermal history. Geodynamic processes. Prerequisite(s): ERTH 3405 . Also offered at the graduate level, with different requirements, as ERTH 5701 , for which additional credit is precluded. Lectures three hours a week. ERTH 4807 [0.5 credit] Field Geology II Field camp integrating advanced field, theory and experimental data. Assessment is based on reports, seminars, and oral examinations. Part of the cost is borne by the student. Departmental funding assistance is available for only one 4000-level field course per student. Prerequisite(s): completion of the third-year Earth Sciences course requirements and permission of the Department. A supplementary fee will apply. Field work off campus. ERTH 4808 [0.5 credit] Vertebrate Paleontology Field Camp Field camp extends the student's vertebrate paleontological knowledge by integrating field, theory, and experimental data. Assessment based on written reports and seminars. Part of the cost is borne by the student. Departmental funding assistance is available for only one 4000-level field course per student. Prerequisite(s): ERTH 3111 or ERTH 3112 , and ERTH 3113 . A Major CGPA of 8.5 or higher and permission of the department. This course is only available to Undergraduate students enrolled in the BSc Earth Sciences with concentration in Vertebrate Paleontology and Paleoecology Honours program. Field work for two weeks off campus. A supplementary fee will apply. ERTH 4815 [0.5 credit] Natural Hazards in Canada Overview of the main natural hazards (such as floods, landslides, forest fires, earthquakes) and severe weather phenomena (such as ice storms, hail, tornadoes) in the Canadian environment. Risk of catastrophic events and their impact on society and infrastructure. Prerequisite(s): third-year standing in earth science programs or permission of the department. Also offered at the graduate level, with different requirements, as ERTH 5215 and IPIS 5505 , for which additional credit is precluded. Lectures three hours a week. ERTH 4908 [1.0 credit] Honours Thesis Independent studies. Requires prior written approval of a topic from a supervisor and the course co-ordinator. Oral and written proposal, progress and defence reports are required. Precludes additional credit for Precludes additional credit for ERTH 4909 , ERTH 4910 (no longer offered). Prerequisite(s): restricted to B.Sc. Honours and Combined Honours ERTH programs. Major CGPA 8.5 or higher at time of registration for the course. ERTH 4909 [0.5 credit] Research in Earth Sciences Understanding research methods, data interpretation and presentation, through readings, seminars and-or laboratory projects related to a topic selected by the student with approval of a faculty advisor. Precludes additional credit for Precludes additional credit for ERTH 4908 , ERTH 4910 (no longer offered). Prerequisite(s): restricted to B.Sc. Honours and Combined Honours Earth Sciences programs. Note: Not all courses listed are offered in a given year. For an up-to-date statement of course offerings for the current session and to determine the term of offering, consult the class schedule at central.carleton.ca . Summer session: some of the courses listed in this Calendar are offered during the summer. Hours and scheduling for summer session courses will differ significantly from those reported in the fall/winter Calendar. To determine the scheduling and hours for summer session classes, consult the class schedule at central.carleton.ca Regulations In addition to program requirements described here, students must satisfy: the University regulations (see the Academic Regulations of the University section of this Calendar), the Faculty regulations applying to all B.Sc. students including those relating to Science Continuation and Breadth requirements. Students should consult with the department, school or committee responsible for their program when planning their program and selecting courses. B.Sc. Regulations The regulations presented in this section apply to all Bachelor of Science programs. In addition to the requirements presented here, students must satisfy the University regulations common to all undergraduate students including the process of Academic Continuation Evaluation (see the Academic Regulations of the University section of this Calendar). Breadth Requirement for the B.Sc. Students in a Bachelor of Science program must present the following credits at graduation: 2.0 credits in Science Continuation courses not in the major discipline; students completing a double major are considered to have completed this requirement providing they have 2.0 credits in Science Continuation courses in each of the two majors; 2.0 credits in courses outside of the faculties of Science and Engineering and Design (may include ISAP 1000) In most cases, the requirements for individual B.Sc. programs, as stated in this Calendar, contain these requirements, explicitly or implicitly. Students admitted to B.Sc. programs by transfer from another institution must present at graduation (whether taken at Carleton or elsewhere): 2.0 credits in courses outside of the faculties of Science and Engineering and Design (may include ISAP 1000) if the student received fewer than 10.0 transfer credits; or, 1.0 credit in courses outside of the faculties of Science and Engineering and Design (may include ISAP 1000) if the student received 10.0 or more transfer credits. Declared and Undeclared Students Degree students are considered "Undeclared" if they have been admitted to a degree, but have not yet selected and been accepted into a program within that degree. The status "Undeclared" is available only in the B.A. and B.Sc. degrees. Undeclared students must apply to enter a program upon or before completing 3.5 credits. Change of Program within the B.Sc. Degree To transfer to a program within the B.Sc. degree, applicants must normally be Eligible to Continue (EC) in the new program, by meeting the CGPA thresholds described in Section 3.1.9 of the Academic Regulations of the University. Applications to declare or change programs within the B.Sc. degree must be made online through Carleton Central by completing a Change of Program Elements (COPE) application form within the published deadlines. Acceptance into a program, or into a program element or option, is subject to any enrolment limitations, and/or specific program, program element or option requirements as published in the relevant Calendar entry. Minors, Concentrations, and Specializations Students may add a Minor, Concentration, or Specialization by completing a Change of Program Elements (COPE) application form online through Carleton Central. Acceptance into a Minor, Concentration, or Specialization normally requires that the student be Eligible to Continue (EC) and is meeting the minimum CGPAs described in Section 3.1.9 of the Academic Regulations of the University , as well as being subject to any specific requirements of the intended Minor, Concentration, or Specialization as published in the relevant Calendar entry. Experimental Science Requirement Students in a B.Sc. degree program must present at graduation at least two full credits of Experimental Science chosen from two different departments or institutes from the list below: Approved Experimental Science Courses Biochemistry BIOC 2200 [0.5] Cellular Biochemistry BIOC 3103 [0.5] Experimental Biochemistry I: Principles and Practices BIOC 3104 [0.5] Experimental Biochemistry II: Research Experience BIOC 4001 [0.5] Methods in Biochemistry BIOC 4201 [0.5] Advanced Cell Culture and Tissue Engineering Biology BIOL 1103 [0.5] Foundations of Biology I BIOL 1104 [0.5] Foundations of Biology II BIOL 2001 [0.5] Animals: Form and Function BIOL 2002 [0.5] Plants: Form and Function BIOL 2104 [0.5] Introductory Genetics BIOL 2200 [0.5] Cellular Biochemistry BIOL 2600 [0.5] Ecology Chemistry CHEM 1001 [0.5] General Chemistry I CHEM 1002 [0.5] General Chemistry II CHEM 2103 [0.5] Physical Chemistry I CHEM 2203 [0.5] Organic Chemistry I CHEM 2204 [0.5] Organic Chemistry II CHEM 2302 [0.5] Analytical Chemistry I CHEM 2303 [0.5] Analytical Chemistry II CHEM 2800 [0.5] Foundations for Environmental Chemistry Earth Sciences ERTH 1002 [0.5] The Earth and Life Odyssey: A Journey Through Billions of Years ERTH 2102 [0.5] Mineralogy to Petrology ERTH 2404 [0.5] Engineering Geoscience ERTH 2802 [0.5] Field Geology I ERTH 3111 [0.5] Vertebrate Evolution: Mammals, Reptiles, and Birds ERTH 3112 [0.5] Vertebrate Evolution: Fish and Amphibians ERTH 3204 [0.5] Mineral Deposits ERTH 3205 [0.5] Physical Hydrogeology Food Sciences FOOD 3001 [0.5] Food Chemistry FOOD 3002 [0.5] Food Analysis FOOD 3005 [0.5] Food Microbiology Geography GEOG 1010 [0.5] Global Environmental Systems GEOG 3108 [0.5] Soil Properties Neuroscience NEUR 3206 [0.5] Sensory and Motor Neuroscience NEUR 3207 [0.5] Systems Neuroscience NEUR 4600 [0.5] Advanced Lab in Neuroanatomy Physics PHYS 1001 [0.5] Foundations of Physics I PHYS 1002 [0.5] Foundations of Physics II PHYS 1003 [0.5] Introductory Mechanics and Thermodynamics PHYS 1004 [0.5] Introductory Electromagnetism and Wave Motion PHYS 1007 [0.5] Elementary University Physics I PHYS 1008 [0.5] Elementary University Physics II PHYS 2007 [0.5] Second Year Physics Laboratory: Selected Experiments and Seminars PHYS 3007 [0.5] Third Year Physics Laboratory: Selected Experiments and Seminars PHYS 3606 [0.5] Modern Physics II PHYS 3608 [0.5] Modern Applied Physics Course Categories for B.Sc. Programs
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Integrated Science

2026-27

  • Integrated Science B.Sc. Honours (20.0 credits)
  • Integrated Science B.Sc. (15.0 credits)
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Linguistics (Bachelor of Science)

2026-27

  • Linguistics B.Sc. Honours (20.0 credits)
  • Linguistics with Concentration in Computer Science B.Sc. Honours (20.0 credits)
  • Linguistics with Concentration in Neuroscience B.Sc. Honours (20.0 credits)
  • Linguistics with Concentration in Psychology B.Sc. Honours (20.0 credits)
  • Psycholinguistics and Communication Differences B.Sc. Honours (20.0 credits)
  • Psycholinguistics and Communication Differences with Concentration in Computer Science B.Sc. Honours (20.0 credits)
  • Psycholinguistics and Communication Differences with Concentration in Neuroscience B.Sc. Honours (20.0 credits)
  • Psycholinguistics and Communication Differences with Concentration in Psychology B.Sc. Honours (20.0 credits)
  • Linguistics (LING) Courses LING 1001 [0.5 credit] Introduction to Linguistics I Nature of language and linguistic knowledge. Formal description and analysis of language: phonetics, phonology, morphology, syntax and semantics. Lecture and tutorial three hours a week. LING 1002 [0.5 credit] Introduction to Linguistics II Survey of topics in linguistics: language change, sociolinguistics, language acquisition and processing. May include language typology, language contact and writing systems. Prerequisite(s): LING 1001 (may be taken concurrently). Lectures three hours a week. LING 1100 [0.5 credit] The Mysteries of Language This course explores some intriguing mysteries of language - whether it is unique to humans, how children master its complexities so easily, how the brain handles language, how languages are born and die. These questions lead us to interesting discoveries about the human mind. Lectures three hours a week. LING 2005 [0.5 credit] Linguistic Analysis Phonological, morphological and syntactic analysis of linguistic data. Coursework consists primarily of practical exercises in data analysis. Prerequisite(s): LING 1001 . Lecture and tutorial three hours a week. LING 2007 [0.5 credit] Phonetics Description of speech sounds; transcription systems; articulation; acoustics of speech sounds; perception of speech sounds; cross-linguistic diversity and phonetic universals; the role of phonetics in grammar. Precludes additional credit for Precludes additional credit for LING 2001 (no longer offered). Prerequisite(s): LING 1001 . Lecture and tutorial three hours a week. LING 2504 [0.5 credit] Language and Communication Some of the central topics in the study of language and communication as pursued by linguists and philosophers. Topics include: the nature of meaning; the connections between language, communication and cognition; language as a social activity. Also listed as PHIL 2504 , COMS 2504 . Prerequisite(s): second-year standing. Lectures three hours a week. LING 2604 [0.5 credit] Communication Differences and Disabilities I A survey course highlighting a variety of communication differences and disabilities. Specific topics vary from year to year but typically will include speech, language, fluency and hearing differences and disabilities. Also listed as ALDS 2604 . Prerequisite(s): LING 1001 and second year standing, or permission of the instructor. Lectures three hours a week. LING 2802 [0.5 credit] History of the English Language A historical study of the English language, its structure, variety, and cultural contexts,with an introduction to grammatical terminology and constructions. Also listed as ENGL 2105 . Prerequisite(s): second-year standing or permission of the department. Lectures three hours a week. LING 3004 [0.5 credit] Syntax I Introduction to syntactic theory. Representation and analysis of sentence structure, syntactic relations and syntactic dependencies. Testing of grammatical hypotheses. Prerequisite(s): LING 2005 . Lecture and tutorial three hours a week. LING 3005 [0.5 credit] Morphology I Introduction to word structure and morphological theory. Topics include inflectional and derivational morphology, morphological processes, and interaction of morphology with phonology and syntax. Prerequisite(s): LING 2005 and LING 2007 . Lectures three hours a week. LING 3007 [0.5 credit] Phonology I The sound-systems of languages, analysis of phonological structure; generative phonology; phonological rules and derivations; cross-linguistic diversity and universals; segmental phonology; stress; tone. Precludes additional credit for Precludes additional credit for LING 3002 (no longer offered). Prerequisite(s): LING 2001 (no longer offered) or LING 2007 . Lecture and tutorial three hours a week. LING 3009 [0.5 credit] Special Topic in Linguistics Selected topics in general linguistics not ordinarily treated in the regular course program. Contents of the course vary from year to year. Lectures and discussion three hours per week. LING 3504 [0.5 credit] Pragmatics The study of language in its conversational and cultural contexts. Topics include: conversational implicature; deixis; the semantics-pragmatics boundary; speaker's reference; speech acts. May include cross-cultural pragmatics. Also listed as PHIL 3504 . Prerequisite(s): third-year standing, and one of LING 1001 , PHIL 2001 , PHIL 2504 / COMS 2504 / LING 2504 or PHIL 3506 , or LING 3505 or permission of the Department of Philosophy or School of Linguistics and Language Studies. Lectures three hours a week. LING 3505 [0.5 credit] Semantics Study of language meaning. Lexical meaning and meanings of larger linguistic expressions, including nominal units, verbal units, and sentences. Meaning relationships between utterances. Relationship between linguistic meaning (semantics) and contextual meaning (pragmatics). Basic formal treatments of semantics. Also listed as PHIL 3506 . Prerequisite(s): third-year standing, and one of LING 1001 , PHIL 2001 , PHIL 2504 / LING 2504 / COMS 2504 or PHIL 3504 / LING 3504 , or permission of the Department of Philosophy or School of Linguistics and Language Studies. Lectures three hours a week. LING 3601 [0.5 credit] Language Processing and the Brain Introduction to adult language processing and neurolinguistics. Psychological processes underlying speech production and perception, word recognition and sentence processing. Biological foundation and neuro-cognitive mechanisms of language. Experimental techniques and methodologies of current psycholinguistic studies. Also listed as PSYC 3709 . Prerequisite(s): LING 1001 or PSYC 2700 and second-year standing, or permission of the instructor. Lectures three hours a week. LING 3603 [0.5 credit] Child Language Milestones associated with the development of grammatical, pragmatic and metalinguistic competence from birth to about age ten, and the relative contributions of the environment, cognitive development and inborn knowledge to this development. Also listed as PSYC 3508 . Prerequisite(s): LING 1001 and second-year standing, or permission of the instructor. Lectures three hours a week. LING 3604 [0.5 credit] Communication Differences and Disabilities II An in-depth examination of select topics in the field of communication differences and disabilities. An emphasis is placed on theoretical accounts of specific differences and disabilities and the cross-linguistic evidence for these accounts. Specific topics may vary from year to year. Also listed as ALDS 3604 . Prerequisite(s): LING 1001 and one of ALDS 2604 or LING 2604 . Lectures three hours a week. LING 3701 [0.5 credit] Corpus Linguistics Computer-assisted analysis of electronic collections of naturally occurring language. Applications in such areas as language variation, grammar, lexicology, phraseology, translation, and learner language. Also listed as ALDS 3701 . Prerequisite(s): third-year standing in Applied Linguistics and Discourse Studies, or in Linguistics, or enrolment in the CTESL program, or permission of the instructor. Lectures three hours a week. LING 3702 [0.5 credit] Sociolinguistics The place of language within society; bilingual and multilingual communities; language, social mobility and social stratification; sociolinguistic factors in language change. Also listed as ALDS 3202 . Precludes additional credit for Precludes additional credit for ALDS 2701 (no longer offered). Prerequisite(s): ALDS 1001 and third-year standing. Lecture three hours a week. LING 3801 [0.5 credit] Structure of a Specific Language Description and analysis of the structure of a specific language applying phonology, morphology, syntax, and semantics. Language to be studied will be announced in advance by the School. Prerequisite(s): LING 2001 (no longer offered) or LING 2005 or LING 2007 . Lectures three hours a week. LING 3802 [0.5 credit] Beyond the BA Students explore personal and professional transitions from undergraduate to entering the workforce or graduate school. Topics may include self-assessments, career management skills, and networking. Both academic and practical work, featuring interaction from career specialists, graduate schools, professionals, and employed LING graduates. Also listed as ALDS 3801 . Precludes additional credit for Precludes additional credit for ALDS 3903 when the topic is similar. Prerequisite(s): third-year standing in ALDS or LING or permission of the School. Seminars three hours a week LING 3810 [0.5 credit] Historical Linguistics I Language change; sound change; analogy; the comparative method; internal reconstruction; the philological method; historical linguistics and pre-history; language change and theories of grammar. Precludes additional credit for Precludes additional credit for LING 3101 (no longer offered). Prerequisite(s): LING 2007 . Lectures three hours a week. LING 3811 [0.5 credit] Language Typology and Universals Cross-linguistic survey of syntactic and morphological patterns found in the languages of the world. Typological classification and identification of language universals. Precludes additional credit for Precludes additional credit for LING 3001 (no longer offered). Prerequisite(s): LING 2005 . Lectures three hours a week. LING 3900 [1.0 credit] Independent Study Research under the supervision of a member of the School. Normally available only to third- and fourth-year students in Linguistics. Prerequisite(s): permission of the instructor. LING 3901 [0.5 credit] Independent Study Research under the supervision of a member of the School. Normally available only to third- and fourth-year students in Linguistics. Prerequisite(s): permission of the instructor. LING 4004 [0.5 credit] Syntax II Advanced topics in syntax. Precludes additional credit for Precludes additional credit for LING 4002 (no longer offered). Prerequisite(s): LING 3004 and third-year standing. Seminars three hours a week. LING 4005 [0.5 credit] Morphology II Advanced topics in morphology. Prerequisite(s): LING 3005 and third-year standing. Seminars three hours a week. LING 4007 [0.5 credit] Phonology II Advanced topics in phonology. Precludes additional credit for Precludes additional credit for LING 4001 (no longer offered). Prerequisite(s): LING 3007 , and third-year standing. Seminars three hours a week. LING 4009 [0.5 credit] Special Topic in Linguistics Examination of a topic or more specialized area in linguistics or language study. Topic to be announced. Repeatable for credit when the topic changes. Prerequisite(s): third- or fourth-year standing in Linguistics or permission of the instructor. Also offered at the graduate level, with different requirements, as LING 5009 , for which additional credit is precluded. Seminars three hours a week. LING 4412 [0.5 credit] Diversité du français Study of varieties of French in their spatial dimensions. The precise content of this course varies by year. See the Department of French website for details. The course is taught in French, but students will submit written assignments in English. Also listed as FREN 4412 . Prerequisite(s): FREN 2401 and FREN 3050 , or permission of the Department. Seminars three hours a week. LING 4413 [0.5 credit] Diachronie du français Study of French in its historical dimensions. The precise content of this course varies by year. See the Department of French website for details. The course is taught in French, but students will submit written assignments in English. Also listed as FREN 4413 . Prerequisite(s): FREN 2401 and FREN 3050 , or permission of the Department. Seminars three hours a week. LING 4414 [0.5 credit] Analyse du français Study of French in its morphological, syntactic, or phonological dimensions. The precise content of this course varies by year. See the Department of French website for details. Course is taught in French, but students will submit written assignments in English. Also listed as FREN 4414 . Prerequisite(s): FREN 2401 and FREN 3050 , or permission of the Department. Seminars three hours a week. LING 4415 [0.5 credit] Variation du français Study of internal variations of the language in oral/written dimensions. The precise content of this course varies by year. See the Department of French website for details. Course is taught in French, but students submit assignments in English. Also listed as FREN 4415 . Prerequisite(s): FREN 2401 and FREN 3050 , or permission of the Department. Seminars three hours a week. LING 4505 [0.5 credit] Formal Semantics Advanced topics in compositional semantics and its interfaces. Topics may include: logic, semantic types, lambda calculus, intentional contexts, possible world semantics, interfaces with syntax and pragmatics quantification, anaphora, presupposition, implicatures, scope and binding, and model theory. Also listed as PHIL 4505 . Prerequisite(s): LING 3505 or PHIL 3506 , and third-year standing, or permission of the Department of Philosophy or School of Linguistics and Language Studies. Seminars three hours a week. LING 4510 [0.5 credit] Lexical Semantics Study of the meaning of words. Topics may include lexical decomposition, meaning variation, lexical relations, and lexical aspect. Also listed as PHIL 4055 . Precludes additional credit for Precludes additional credit for LING 4055 (no longer offered). Prerequisite(s): LING 3505 or PHIL 3506 , and third-year standing. Also offered at the graduate level, with different requirements, as LING 5510 , for which additional credit is precluded. Seminar three hours a week. LING 4601 [0.5 credit] Cognitive Neuroscience of Language Further study of psychological and neurolinguistic mechanisms of adult language processing. May include topics from first language acquisition. Prerequisite(s): LING 3601 or permission of the instructor. Also offered at the graduate level, with different requirements, as LING 5601 , for which additional credit is precluded. Seminars three hours a week. LING 4603 [0.5 credit] First Language Acquisition Advanced topics in language acquisition and development and the relative contributions of the environment, cognitive development, and inborn knowledge. Prerequisite(s): LING 1001 and LING 3603 . Also offered at the graduate level, with different requirements, as LING 5603 , for which additional credit is precluded. Seminars three hours a week. LING 4604 [0.5 credit] Practicum in Speech Language Pathology Through field placements, students pursue personal learning objectives related to speech-language pathology, with a focus on the clinical application of knowledge gained in the Psycholinguistics and Communication Differences concentration. Prerequisite(s): LING 3604 , fourth-year Honours standing in B.A. or B.Sc. in Linguistics with a Concentration in Psycholinguistics and Communication Disorders with a CGPA of 10.0 in the major, and permission from the School of Linguistics and Language Studies. Field placement one day a week. LING 4605 [0.5 credit] Psycholinguistic Research Methods Experimental methodologies used in current psycholinguistic studies. Topics include experimental design and techniques, descriptive statistics, and interpreting and reporting research findings. Precludes additional credit for Precludes additional credit for LING 4009 Section "A" (2015-16 and 2016-17) and LING 4009 Section "B" (2013-14) and LING 4009 Section "C" (2017-18). Prerequisite(s): third- or fourth-year standing and LING 3601 , or permission of the instructor. Also offered at the graduate level, with different requirements, as LING 5605 , for which additional credit is precluded. Seminar three hours a week. LING 4606 [0.5 credit] Statistics for Language Research Application of statistical procedures to analysis of language data and to problems of measurement in experimental linguistics, applied linguistics, psycholinguistics, and related fields. Also listed as ALDS 4606 . Precludes additional credit for Precludes additional credit for ALDS 4906 / LING 4009 Section "B" if taken Winter 2015 or Winter 2016. Prerequisite(s): Third-year standing in Linguistics or Applied Linguistics and Discourse Studies or Cognitive Science, or permission of the instructor. Also offered at the graduate level, with different requirements, as LING 5606 and ALDS 5604 , for which additional credit is precluded. Seminar three hours a week. LING 4801 [0.5 credit] Linguistic Field Methods With a language consultant, students discover the phonological, morphological, and syntactic structures of the target language using linguistic elicitation. Language will vary from year to year, but will normally be a non-European language. Language documentation, data management, ethical issues surrounding research in Indigenous communities. Prerequisite(s): LING 2005 and LING 2007 . Also offered at the graduate level, with different requirements, as ALDS 5801 , for which additional credit is precluded. Lectures three hours a week. LING 4802 [0.5 credit] Historical Linguistics: English A theory-intensive course that will study the development of English starting with Proto-Indo-European progressing through Common Germanic to the stages of English itself. Topics include phonological sound changes, phonemic inventories, and morphological and syntactic typology. Precludes additional credit for Precludes additional credit for LING 4101 (no longer offered). Prerequisite(s): LING 2005 and LING 2007 , and one of LING 3005 , LING 3810 or LING 3811 . Also offered at the graduate level, with different requirements, as LING 5802 , ENGL 5101 , for which additional credit is precluded. Seminars three hours a week. LING 4805 [0.5 credit] Old English Studies in Old English literature and its cultural and historical contexts. Instruction in grammar to facilitate reading knowledge of the Old English language. Also listed as ENGL 4105 . Precludes additional credit for Precludes additional credit for ENGL 3102 (no longer offered). Prerequisite(s): fourth-year standing or permission of the department. Seminar or lecture three hours a week. LING 4900 [1.0 credit] Independent Study in Linguistics Permits fourth-year Honours students to pursue their interests in a selected area of linguistics. Prerequisite(s): permission of the instructor. LING 4901 [0.5 credit] Independent Study in Linguistics Permits fourth-year Honours students to pursue their interests in a selected area of linguistics. Prerequisite(s): permission of the instructor. LING 4905 [1.0 credit] Honours Project in Experimental Linguistics Students choose existing study in linguistic literature, replicate the study, present findings, compare to original study. Practical experience gathering and preparing materials, running experiments, analyzing data, interpreting findings; real, important contributions to the field of linguistics via replication studies (as mandated by the scientific method). Precludes additional credit for Precludes additional credit for LING 4910 . Prerequisite(s): fourth-year Honours standing in Linguistics, with a Major CGPA of 9.0, and permission of the instructor. Unscheduled. LING 4910 [1.0 credit] Honours Thesis in Linguistics A thesis project selected in consultation with the School and carried out under the direction of a faculty supervisor. Precludes additional credit for Precludes additional credit for LING 4905 . Prerequisite(s): fourth-year Honours standing in Linguistics with a CGPA of 10.0 in the major; one of LING 3004 , LING 3007 , LING 3505 , or LING 3601 ; and permission of the instructor. Note: Not all courses listed are offered in a given year. For an up-to-date statement of course offerings for the current session and to determine the term of offering, consult the class schedule at central.carleton.ca . Summer session: some of the courses listed in this Calendar are offered during the summer. Hours and scheduling for summer session courses will differ significantly from those reported in the fall/winter Calendar. To determine the scheduling and hours for summer session classes, consult the class schedule at central.carleton.ca School Language Proficiency Requirement Students in B.A. Honours, Combined Honours, or 15 credit programs of the School of Linguistics and Language Studies are required, at graduation, to have a working knowledge of a language other than English. Proficiency is determined by successful completion of a 1.0 credit university course in the language or by an oral or written test given by the School. B.Sc. Regulations The regulations presented in this section apply to all Bachelor of Science programs. In addition to the requirements presented here, students must satisfy the University regulations common to all undergraduate students including the process of Academic Continuation Evaluation (see the Academic Regulations of the University section of this Calendar). Breadth Requirement for the B.Sc. Students in a Bachelor of Science program must present the following credits at graduation: 2.0 credits in Science Continuation courses not in the major discipline; students completing a double major are considered to have completed this requirement providing they have 2.0 credits in Science Continuation courses in each of the two majors; 2.0 credits in courses outside of the faculties of Science and Engineering and Design (may include ISAP 1000) In most cases, the requirements for individual B.Sc. programs, as stated in this Calendar, contain these requirements, explicitly or implicitly. Students admitted to B.Sc. programs by transfer from another institution must present at graduation (whether taken at Carleton or elsewhere): 2.0 credits in courses outside of the faculties of Science and Engineering and Design (may include ISAP 1000) if the student received fewer than 10.0 transfer credits; or, 1.0 credit in courses outside of the faculties of Science and Engineering and Design (may include ISAP 1000) if the student received 10.0 or more transfer credits. Declared and Undeclared Students Degree students are considered "Undeclared" if they have been admitted to a degree, but have not yet selected and been accepted into a program within that degree. The status "Undeclared" is available only in the B.A. and B.Sc. degrees. Undeclared students must apply to enter a program upon or before completing 3.5 credits. Change of Program within the B.Sc. Degree To transfer to a program within the B.Sc. degree, applicants must normally be Eligible to Continue (EC) in the new program, by meeting the CGPA thresholds described in Section 3.1.9 of the Academic Regulations of the University. Applications to declare or change programs within the B.Sc. degree must be made online through Carleton Central by completing a Change of Program Elements (COPE) application form within the published deadlines. Acceptance into a program, or into a program element or option, is subject to any enrolment limitations, and/or specific program, program element or option requirements as published in the relevant Calendar entry. Minors, Concentrations, and Specializations Students may add a Minor, Concentration, or Specialization by completing a Change of Program Elements (COPE) application form online through Carleton Central. Acceptance into a Minor, Concentration, or Specialization normally requires that the student be Eligible to Continue (EC) and is meeting the minimum CGPAs described in Section 3.1.9 of the Academic Regulations of the University , as well as being subject to any specific requirements of the intended Minor, Concentration, or Specialization as published in the relevant Calendar entry. Experimental Science Requirement Students in a B.Sc. degree program must present at graduation at least two full credits of Experimental Science chosen from two different departments or institutes from the list below: Approved Experimental Science Courses Biochemistry BIOC 2200 [0.5] Cellular Biochemistry BIOC 3103 [0.5] Experimental Biochemistry I: Principles and Practices BIOC 3104 [0.5] Experimental Biochemistry II: Research Experience BIOC 4001 [0.5] Methods in Biochemistry BIOC 4201 [0.5] Advanced Cell Culture and Tissue Engineering Biology BIOL 1103 [0.5] Foundations of Biology I BIOL 1104 [0.5] Foundations of Biology II BIOL 2001 [0.5] Animals: Form and Function BIOL 2002 [0.5] Plants: Form and Function BIOL 2104 [0.5] Introductory Genetics BIOL 2200 [0.5] Cellular Biochemistry BIOL 2600 [0.5] Ecology Chemistry CHEM 1001 [0.5] General Chemistry I CHEM 1002 [0.5] General Chemistry II CHEM 2103 [0.5] Physical Chemistry I CHEM 2203 [0.5] Organic Chemistry I CHEM 2204 [0.5] Organic Chemistry II CHEM 2302 [0.5] Analytical Chemistry I CHEM 2303 [0.5] Analytical Chemistry II CHEM 2800 [0.5] Foundations for Environmental Chemistry Earth Sciences ERTH 1002 [0.5] The Earth and Life Odyssey: A Journey Through Billions of Years ERTH 2102 [0.5] Mineralogy to Petrology ERTH 2404 [0.5] Engineering Geoscience ERTH 2802 [0.5] Field Geology I ERTH 3111 [0.5] Vertebrate Evolution: Mammals, Reptiles, and Birds ERTH 3112 [0.5] Vertebrate Evolution: Fish and Amphibians ERTH 3204 [0.5] Mineral Deposits ERTH 3205 [0.5] Physical Hydrogeology Food Sciences FOOD 3001 [0.5] Food Chemistry FOOD 3002 [0.5] Food Analysis FOOD 3005 [0.5] Food Microbiology Geography GEOG 1010 [0.5] Global Environmental Systems GEOG 3108 [0.5] Soil Properties Neuroscience NEUR 3206 [0.5] Sensory and Motor Neuroscience NEUR 3207 [0.5] Systems Neuroscience NEUR 4600 [0.5] Advanced Lab in Neuroanatomy Physics PHYS 1001 [0.5] Foundations of Physics I PHYS 1002 [0.5] Foundations of Physics II PHYS 1003 [0.5] Introductory Mechanics and Thermodynamics PHYS 1004 [0.5] Introductory Electromagnetism and Wave Motion PHYS 1007 [0.5] Elementary University Physics I PHYS 1008 [0.5] Elementary University Physics II PHYS 2007 [0.5] Second Year Physics Laboratory: Selected Experiments and Seminars PHYS 3007 [0.5] Third Year Physics Laboratory: Selected Experiments and Seminars PHYS 3606 [0.5] Modern Physics II PHYS 3608 [0.5] Modern Applied Physics Course Categories for B.Sc. Programs
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Mathematics and Statistics

2026-27

  • Program Requirements Course Prerequisites The following courses central to B.Math. programs have grade requirements in their prerequisites: MATH 2001 requires C+ in (MATH 1002 (no longer offered) or MATH 2052 ) , or B+ in ( MATH 2007 or MATH 1005 ), and C+ in (MATH 1102 (no longer offered) or MATH 2152 ), or B+ in ( MATH 1107 or MATH 1104 ). MATH 2002 requires C+ in MATH 2001 . MATH 2100 requires C+ in (MATH 1102 (no longer offered) or MATH 2152 ), or B+ in MATH 2107 . MATH 2454 requires C+ in (MATH 1002 (no longer offered) or MATH 2052 or MATH 2007 or MATH 1005 ), and C+ in (MATH 1102 (no longer offered) or MATH 2152 or MATH 2107 ). STAT 2655 requires C+ in (MATH 1002 (no longer offered) or MATH 2052 or MATH 2007 or MATH 1005 ), and C+ in (MATH 1102 (no longer offered) or MATH 2152 or MATH 1107 or MATH 1104 ). MATH 2007 requires MATH 1004 or C- in ( MATH 1007 or MATH 1009 ). MATH 2107 requires MATH 1104 or C- in MATH 1107 Course Categories for B.Math. Programs
  • Prohibited and Restricted Courses MATH 1805 (no longer offered) or COMP 1805 can be counted only as a half-credit free elective in Mathematics and Statistics programs. The following courses may not be counted for academic credit (even as free electives) in any program offered by the School of Mathematics and Statistics: BIOL 3604 , COMS 3001 , CRCJ 3001 , ECON 0005 , ECON 1401 , ECON 1402 , ECON 2201 (no longer offered), ECON 2202 (no longer offered), ECON 2210 , ECON 2220 (no longer offered), ECON 2400 (no longer offered), ECON 3001 , ECON 3210, ECON 4001 , ECON 4002 , ECON 4004 , ECON 4025 (no longer offered), ECON 4706 , ECON 4707 , ECON 4713 , ECOR 2606 , GEOG 2006 , GEOG 3003 , NEUR 2001 , NEUR 2002 , NEUR 3001 , NEUR 3002 , PSCI 2702 , PSYC 2001 , PSYC 2002 , PSYC 3000 [1.0] , SOCI 2004 , SOCI 3000 (no longer offered), SOCI 3002 (no loner offered), SOCI 3008 , SOCI 4009 (no longer offered), SOCI 4102 , SOWK 3001 , SYSC 2510 . Students who have completed ECON 2201 (no longer offered) and ECON 2202 (no longer offered) and enter a B.Math. program may be exempted from taking STAT 2507 and STAT 2509 only with permission of the School of Mathematics and Statistics, and provided the grade in ECON 2201 (no longer offered) and ECON 2202 (no longer offered) is B- or higher in each. BUSI 1402 , BUSI 2402 , and COMP 1001 may not count for credit in a B.Math or a Computer Science and Mathematics B.Math Combined Honours program, even as free electives. Only one of MATH 3806 , COMP 3806 (no longer offered), COMP 3800 (no longer offered), or MATH 3800 may count for credit in a B.Math. program. Mathematics B. Math. Honours (20.0 credits)
  • Mathematics with Concentration in Stochastics B. Math. Honours (20.0 credits) Items 3, 4, 5 and 6 in the Mathematics degree requirements are replaced by: 3. 3.0 credits in: 3.0 MATH 3001 [0.5] Real Analysis I (Honours) MATH 3008 [0.5] Ordinary Differential Equations (Honours) STAT 3506 [0.5] Stochastic Processes and Applications (Honours) STAT 3558 [0.5] Elements of Probability Theory (Honours) STAT 3559 [0.5] Mathematical Statistics (Honours) STAT 4501 [0.5] Probability Theory (Honours) 4. 0.5 credit from: 0.5 STAT 3553 [0.5] Regression Modeling (Honours) MATH 3801 [0.5] Linear Programming 5. 0.5 credit in STAT at the 4000-level 0.5 6. 1.0 credit in MATH or STAT at the 4000-level or higher 1.0 Total Credits 5.0 Computational and Applied Mathematics and Statistics with Concentration B.Math. Honours (20.0 credits)
  • Statistics B. Math. Honours (20.0 credits)
  • Statistics with Concentration in Actuarial Science B. Math. Honours (20.0 credits)
  • Mathematics B. Math. (15.0 credits)
  • Computer Mathematics B. Math. (15.0 credits)
  • Statistics B. Math. (15.0 credits)
  • Computer Science and Mathematics: Concentration in Computing Theory and Numerical Methods B. Math. Combined Honours (20.0 credits)
  • Computer Science and Mathematics: Concentration in Statistics and Computing B. Math. Combined Honours (20.0 credits)
  • Mathematics and Physics B.Sc. Double Honours (21.5 credits)
  • Economics and Mathematics B.Math. Combined Honours (20.0 credits)
  • Economics and Statistics B.Math. Combined Honours (20.0 credits)
  • Program Requirements for Combined B.Math./M.Sc. This "fast-track" program combines the requirements for Bachelor of Mathematics in Mathematics or Statistics, and Master of Science in Mathematics, into a sequence that will enable exceptional students to complete in four years of study. Entry to this program directly from an Ontario High School requires both of the following: an average of 90 per cent or better on Grade 12 Mathematics: Advanced Functions and Grade 12 Mathematics: Calculus and Vectors; an average of 85 per cent or better over six credits in Grade 12 courses of University or University/College type. Admission, continuation and graduation from the undergraduate portion of the program requires a Major CGPA of 11.0 or better and Overall CGPA of 10.00 or better. Before entry into the fourth year of this program, students must: obtain a recommendation from the School of Mathematics and Statistics to continue, apply to graduate with a B.Math. degree, by the end of January of their third year, and submit an application for graduate studies to the School by mid-February. Undergraduate Portion Students may apply for admission to either the Mathematics or the Statistics versions of the program. Mathematics (Combined B.Math./M.Sc.) B.Math. (15.0 credits)
  • Statistics (Combined B.Math./M.Sc.) B.Math. (15.0 credits)
  • Graduate Portion - M.Sc. During the graduate portion of the "fast-track" program, the student is registered as a graduate student and is covered by the regulations of the Faculty of Graduate Studies. 5. 1.5 credits at the 5000-level or higher in MATH or STAT 1.5 6. 1.0 credit at the 5000-level or higher in mathematics or statistics or from another department or school 1.0 7. Either: 2.0 MATH 4905 or STAT 4905 and 1.5 credits in MATH or STAT at the 5000-level or higher or an M.Sc. thesis in Mathematics Total Credits 4.5 Minor in Mathematics (4.0 credits) This minor is open to students in all undergraduate programs except programs of the School of Mathematics and Statistics. Students are required to present a Minor CGPA of 4.00 or higher at graduation in order to be awarded a Minor in Mathematics. Requirements 1. 1.0 credit from: 1.0 MATH 1007 [0.5] & MATH 2007 [0.5] Elementary Calculus I Elementary Calculus II or MATH 1004 [0.5] & MATH 1005 [0.5] Calculus for Engineering or Physics Differential Equations and Infinite Series for Engineering or Physics or MATH 1052 [0.5] & MATH 2052 [0.5] Calculus and Introductory Analysis I Calculus and Introductory Analysis II 2. 1.0 credit from: 1.0 MATH 1107 [0.5] Linear Algebra I or MATH 1104 [0.5] Linear Algebra for Engineering or Science MATH 2107 [0.5] Linear Algebra II or MATH 1152 [0.5] & MATH 2152 [0.5] Introductory Algebra I Introductory Algebra II 3. 0.5 credit from: 0.5 MATH 1800 [0.5] Introduction to Mathematical Reasoning or 0.5 credit in MATH at 2000-level 4. 1.0 credit in MATH at the 2000-level or higher 1.0 5. 0.5 credit in MATH at the 3000-level or higher 0.5 6. The remaining requirements of the major discipline(s) and degree must be satisfied. Total Credits 4.0 Note: As a prerequisite, MATH 1800 opens more options at the 2000-level and above. It is recommended that students taking MATH 1800 do so as early as possible. Minor in Statistics (4.0 credits) This minor is available to students in all undergraduate programs, with the exception of those enrolled in the School of Mathematics and Statistics or in the Bachelor of Data Science program. Students are required to present a Minor CGPA of 4.00 or higher at graduation in order to be awarded a Minor in Statistics. Requirements: 1. 0.5 credit from: 0.5 MATH 1004 [0.5] Calculus for Engineering or Physics MATH 1007 [0.5] Elementary Calculus I MATH 1009 [0.5] Mathematics for Business MATH 1052 [0.5] Calculus and Introductory Analysis I 2. 0.5 credit from: 0.5 MATH 1104 [0.5] Linear Algebra for Engineering or Science MATH 1107 [0.5] Linear Algebra I MATH 1119 [0.5] Linear Algebra: with Applications to Business MATH 1152 [0.5] Introductory Algebra I 3. 1.0 credit from: 1.0 STAT 2507 [0.5] & STAT 2509 [0.5] Introduction to Statistical Modeling I Introduction to Statistical Modeling II or STAT 3502 [0.5] & STAT 2509 [0.5] Probability and Statistics Introduction to Statistical Modeling II or STAT 2601 [0.5] & STAT 2602 [0.5] Business Statistics Statistical Models for Business Analytics and Finance or STAT 2601 [0.5] & STAT 2509 [0.5] Business Statistics Introduction to Statistical Modeling II or ECON 2210 [0.5] & ECON 3210 [0.5] Introductory Statistics for Economics Introductory Econometrics 4. 1.5 credits in: 1.5 STAT 3503 [0.5] Regression Analysis STAT 3504 [0.5] Analysis of Variance and Experimental Design STAT 3507 [0.5] Sampling Methodology 5. 0.5 credit from: 0.5 BUSI 1402 [0.5] Introduction to Business Information and Communication Technologies (Business students only) STAT 1500 [0.5] Introduction to Statistical Computing 6. The remaining requirements of the major discipline(s) and degree must be satisfied. Total Credits 4.0 Mathematics (MATH) Courses Note: • See also the course listings under Statistics (STAT) in this Calendar. Prerequisites for First-year Mathematics Courses in B.Math. Programs Students who do not have the required Ontario Grade 12 Mathematics courses or equivalents may take MATH 0005 Precalculus: Functions and Graphs and MATH 0006 Precalculus: Trigonometric Functions and Complex Numbers in lieu of Advanced Functions, MATH 0107 Algebra and Geometry in lieu of the algebra component of Calculus and Vectors. These 0000-level mathematics courses serve as alternate prerequisites for MATH 1052 Calculus and Introductory Analysis I and MATH 1152 Introductory Algebra I . These courses would be in addition to the minimum 15.0 credits required for B.Math programs, or 20.0 credits required for B.Math Honours programs. MATH 0005 [0.5 credit] Precalculus: Functions and Graphs Review of algebraic manipulations. Polynomials: the remainder theorem, and the factor theorem; graphing. Real and Complex roots. Absolute values. Inequalities. Functions, including composition of functions, and Inverse functions. Logarithmic and exponential functions. Not available for degree credit for students who have successfully completed: Grade 12 Mathematics - Advanced Functions, or an equivalent High School functions course. Prerequisite(s): Grade 11 Functions (University/College Preparation), or equivalent. Lectures three hours a week, tutorial one hour a week. MATH 0006 [0.5 credit] Precalculus: Trigonometric Functions and Complex Numbers Angles and the unit circle, radian measure. Definitions of trigonometric functions. Fundamental relations, Law of Sines and Cosines. Analytic trigonometry, graphs, inverse functions. Trigonometric identities and equations. Applications in science and engineering. Complex numbers in polar form, de Moivre's Theorem, n-th roots of complex numbers. Prerequisite(s): Grade 11 Functions (University/College Preparation), or MATH 0005 , or equivalent. Lectures three hours a week, tutorial one hour a week. MATH 0009 [0.5 credit] Calculus and Vectors Limits and continuity. Differentiation rules. Trigonometric, logarithmic, and exponential functions, and their derivatives. Curve sketching. Optimization problems. Introduction to vectors. Dot and cross products. Projections. Equations of lines and planes. Intersection points and distances between points, lines, and planes. Precludes additional credit for Precludes additional credit for MATH 0007. Prerequisite(s): Grade 12 Mathematics (Advanced Functions); or both MATH 0005 and MATH 0006 ; or permission of the School. Lectures three hours a week, tutorial one hour a week. MATH 0107 [0.5 credit] Algebra and Geometry Vectors in the plane and in 3-space. Linear combinations and linear independence. Equations of lines and planes in space. Solution of systems of linear equations. Proofs by induction. Binomial Theorem. Logic. Prerequisite(s): Grade 11 Functions (University/College Preparation) or equivalent. Lectures three hours a week, tutorial one hour a week. MATH 1004 [0.5 credit] Calculus for Engineering or Physics Limits. Differentiation of the elementary functions. Rules of differentiation. Inverse trigonometric functions. Applications of differentiation: max-min problems, curve sketching, approximations. Definite and indefinite integrals, techniques of integration. Applications to areas and volumes. Precludes additional credit for Precludes additional credit for BIT 1000 , BIT 1100 , BIT 1200 , MATH 1002 (no longer offered), MATH 1007 , MATH 1052 . Prerequisite(s): Ontario Grade 12 Mathematics: Advanced Functions, or MATH 0005 and MATH 0006 , or equivalent. Restricted to students in the Faculty of Engineering, or in certain B.Sc. and B.A.S. programs where specified. Lectures three hours a week, tutorial one hour a week. MATH 1005 [0.5 credit] Differential Equations and Infinite Series for Engineering or Physics First-order differential equations. Second-order linear equations with constant coefficients, undetermined coefficients, variation of parameters. Sequences and series, convergence tests, estimation of sums. Power series, Taylor series, remainders. Fourier series. Precludes additional credit for Precludes additional credit for BIT 2004 (no longer offered), BIT 2007 (no longer offered), MATH 1002 (no longer offered), MATH 2007 , MATH 2052 , and MATH 2404 . Prerequisite(s): i) MATH 1004 ; and ii) MATH 1104 (or MATH 1107 ), either previously or concurrently; or equivalents; or permission of the School. Restricted to students in the Faculty of Engineering, or in certain B.Sc. programs where specified. Lectures three hours a week, tutorial one hour a week. MATH 1007 [0.5 credit] Elementary Calculus I Limits. Differentiation of the elementary functions, including trigonometric functions. Rules of differentiation. Applications of differentiation: max-min problems, curve sketching, approximations. Introduction to integration: definite and indefinite integrals, areas under curves, fundamental theorem of calculus. Precludes additional credit for Precludes additional credit for BIT 1000 , BIT 1100 , BIT 1200 , MATH 1002 (no longer offered), MATH 1004 , MATH 1401 / ECON 1401 , MATH 1402 / ECON 1402 , MATH 1052 . Prerequisite(s): Ontario Grade 12 Mathematics: Advanced Functions; or MATH 0005 and MATH 0006 ; or equivalent. Lectures three hours a week, tutorial one hour a week. MATH 1009 [0.5 credit] Mathematics for Business An introductory course of mathematics for business. Thorough review of basic arithmetic and algebra. Elementary functions, their graphs, properties and applications in business models. Limits. Derivatives of elementary functions. Systems of linear equations/inequalities. Geometric series. Precludes additional credit for Precludes additional credit for BIT 1000 , BIT 1100 , BIT 1200 , BUSI 1705 (no longer offered), MATH 1401 / ECON 1401 , MATH 1052 . This course is not acceptable for (substitute) credit in any of the following degree programs: B.Math., and also B.Sc., B.C.S., B.Eng., B.I.D. Prerequisite(s): Restricted to B.Com. and B.I.B students. Lectures three hours a week, tutorial one hour a week. MATH 1052 [0.5 credit] Calculus and Introductory Analysis I Properties of the real numbers. Limits. Sequences and series. Elementary functions. Continuity. Derivatives. Extreme values. Mean Value Theorem. L’Hospital’s rules. Antiderivatives. An emphasis is placed on proofs and theory. Precludes additional credit for Precludes additional credit for BIT 1000 , BIT 1100 , BIT 1200 , MATH 1002 (no longer offered), MATH 1004 , MATH 1007 , MATH 1009 , MATH 1401 / ECON 1401 , MATH 1402 / ECON 1402 . Prerequisite(s): i) Grade 12 Mathematics: Advanced Functions, and Grade 12 Mathematics: Calculus and Vectors, with grades of at least 75% in each; or MATH 0005 and MATH 0006 with grades of at least B in each; or equivalents; and ii) MATH 1800 (may be taken concurrently); or permission of the School of Mathematics and Statistics. Lectures three hours a week, tutorial one and one half hours a week. MATH 1104 [0.5 credit] Linear Algebra for Engineering or Science Systems of linear equations. Matrix algebra. Determinants. Invertible matrix theorem. Cramer’s rule. Vector space R^n; subspaces, bases. Eigenvalues, diagonalization. Linear transformations, kernel, range. Complex numbers (including De Moivre’s theorem). Inner product spaces and orthogonality. Applications. Precludes additional credit for Precludes additional credit for BIT 1001 , BIT 1101 , BIT 1201 , MATH 1102 (no longer offered), MATH 1107 , MATH 1119 , MATH 1401 / ECON 1401 , MATH 1402 / ECON 1402 , MATH 1152 . Note: MATH 1119 is not an acceptable substitute for MATH 1104 . Prerequisite(s): Ontario Grade 12 Mathematics: Advanced Functions, or MATH 0005 , or equivalent, or permission of the School. Restricted to students in the Faculty of Engineering, the School of Computer Science, or in certain B.Sc. and B.A.S. programs where specified. Lectures three hours a week and tutorial one hour a week. MATH 1107 [0.5 credit] Linear Algebra I Systems of linear equations; vector space of n-tuples, subspaces, bases; matrix transformations, kernel, range; matrix algebra and determinants. Dot product. Complex numbers (including de Moivre's Theorem, and n-th roots). Eigenvalues, diagonalization and applications. Note: MATH 1119 is not an acceptable substitute for MATH 1107 . Precludes additional credit for Precludes additional credit for BIT 1001 , BIT 1101 , BIT 1201 , MATH 1102 (no longer offered), MATH 1104 , MATH 1119 , MATH 1401 / ECON 1401 , MATH 1402 / ECON 1402 , MATH 1152 . Prerequisite(s): Ontario Grade 12 Mathematics: Advanced Functions, or MATH 0005 , or equivalent, or permission of the School. Lectures three hours a week and tutorial one hour a week. MATH 1119 [0.5 credit] Linear Algebra: with Applications to Business Introduction to systems of linear equations, geometric interpretation in two and three dimensions, introduction to matrices, vector addition and scalar multiplication, linear dependence, matrix operations, rank, inversion, invertible matrix theorem, determinants. Use of illustrative examples related to business. Precludes additional credit for Precludes additional credit for , but is not an acceptable substitute for: BIT 1001 , BIT 1101 , BIT 1201 , MATH 1102 (no longer offered), MATH 1104 , MATH 1107 . BUSI 1704 (no longer offered), MATH 1109 (no longer offered), MATH 1401 / ECON 1401 , MATH 1402 / ECON 1402 , MATH 1152 . This course is not acceptable for (substitute) credit in any of the following degree programs: B.Math., and also B.Sc., B.C.S., B.Eng., B.I.D. Prerequisite(s): Ontario Grade 12 Mathematics of Data Management; or Ontario Grade 12 Mathematics: Advanced Functions, or MATH 0005 , or equivalent, or permission of the School. Lectures three hours a week, tutorial one hour a week. MATH 1152 [0.5 credit] Introductory Algebra I Properties of numbers. Modular arithmetic. Fields, including complex numbers and finite fields. Vector spaces. Matrix algebra. Solutions of linear systems. Linear dependence. Spanning sets. Bases. Subspaces. The rank-nullity theorem. Linear transformations. An emphasis is placed on proofs and theory. Precludes additional credit for Precludes additional credit for BIT 1001 , BIT 1101 , BIT 1201 , MATH 1102 (no longer offered), MATH 1104 , MATH 1107 , MATH 1119 , MATH 1401 / ECON 1401 , MATH 1402 / ECON 1402 . Prerequisite(s): i) Grade 12 Mathematics: Advanced Functions, and Grade 12 Mathematics: Calculus and Vectors, with grades of at least 75% in each; or MATH 0005 , MATH 0006 , and MATH 0107 with grades of at least B in each; or equivalents; and ii) MATH 1800 (may be taken concurrently); or permission of the School of Mathematics and Statistics. Lectures three hours a week, tutorial one and a half hours a week. MATH 1401 [0.5 credit] Elementary Mathematics for Economics I Functional relations: functional forms and error terms. Graphing economic magnitudes: scatter diagrams, time-series graphs, functional relationships. Applied calculus: mechanics of differentiation and integration, elasticity, consumer/producer surplus. Applied algebra: solving systems of linear equations and Keynesian national-income analysis. Problem solving approaches. Precludes additional credit for Precludes additional credit for BIT 1000 , BIT 1001 , BIT 1100 , BIT 1101 , BIT 1200 , BIT 1201 , ECON 1401 , MATH 1007 , MATH 1009 , MATH 1052 , MATH 1104 , MATH 1107 , MATH 1119 , MATH 1152 . Prerequisite(s): Ontario Grade 12 U Advanced Functions, or MATH 0005 , or equivalent; and ECON 1000 or FYSM 1003 , which may be taken concurrently with MATH 1401 / ECON 1401 . Lectures three hours a week, tutorial one hour a week. MATH 1402 [0.5 credit] Elementary Mathematics for Economics II Calculus: including partial differentiation, definite and indefinite integrals, techniques of integration, and unconstrained optimization. Vectors and matrices: scalar multiplication, inner product, linear dependence, matrix operations, rank, invertible matrix theorem, and determinants. Economic applications such as profit maximization, comparative statics, and the Leontief input-output model. Precludes additional credit for Precludes additional credit for BIT 1000 , BIT 1001 , BIT 1100 , BIT 1101 , BIT 1200 , BIT 1201 , ECON 1402 , MATH 1007 , MATH 1009 , MATH 1052 , MATH 1104 , MATH 1107 , MATH 1119 , MATH 1152 . Prerequisite(s): ECON 1000 or FYSM 1003 with a grade of C- or higher, and ECON 1401 / MATH 1401 with a grade of C- or higher. Lectures three hours a week, tutorial one hour a week. MATH 1800 [0.5 credit] Introduction to Mathematical Reasoning Elementary logic, propositional and predicate calculus, quantifiers, sets and functions, bijections and elementary counting, the concept of infinity, relations, well ordering and induction. The practice of mathematical proof in elementary number theory and combinatorics. Precludes additional credit for Precludes additional credit for MATH 1805 (no longer offered), COMP 1805 . Prerequisite(s): Ontario Grade 12 Mathematics: Advanced Functions, or MATH 0005 , or equivalent. Lectures three hours a week, tutorial one hour a week. MATH 2001 [0.5 credit] Multivariable Calculus and Fundamentals of Analysis I Functions of several variables, limits, continuity, partial derivatives and the derivative, higher order partial derivatives, maxima and minima, Lagrange multipliers. Inverse and implicit function theorems, Riemann integral in several variables, change of coordinates. Precludes additional credit for Precludes additional credit for BIT 2005 (no longer offered), MATH 2000 (no longer offered), MATH 2004 , MATH 2008 , and MATH 3009 . Prerequisite(s): i) MATH 2052 with a grade of C+ or higher, or ( MATH 2007 or MATH 1005 with a grade of B+ or higher and permission of the School); and ii) MATH 2152 with a grade of C+ or higher, or MATH 1107 or MATH 1104 with a grade of B+ or higher; and iii) MATH 1800 with a grade of C+ or higher; or permission of the School. Lectures three hours a week, tutorial one and a half hours a week. MATH 2002 [0.5 credit] Multivariable Calculus and Fundamentals of Analysis II Vector fields, parametric curves and surfaces, line integrals and Green's theorem, surface integrals, Stokes' theorem and divergence theorem. Real number axioms, limit superior and inferior, completeness. Topology of n-dimensional Euclidean space. Sequences, subsequences, compactness. Precludes additional credit for Precludes additional credit for BIT 2005 (no longer offered), MATH 2000 (no longer offered), MATH 2004 , MATH 2008 , and MATH 3009 . Prerequisite(s): MATH 2001 with a grade of C- or higher; or permission of the School. Lectures three hours a week, tutorial one and a half hours a week. MATH 2004 [0.5 credit] Multivariable Calculus for Engineering or Physics Curves and surfaces. Polar, cylindrical and spherical coordinates. Partial derivatives, gradients, extrema and Lagrange multipliers. Exact differentials. Multiple integrals over rectangular and general regions. Integrals over surfaces. Line integrals. Vector differential operators. Green’s Theorem, Stokes’ theorem, Divergence Theorem. Applications. Precludes additional credit for Precludes additional credit for BIT 2005, BIT 2010 , MATH 2000 (no longer offered), MATH 2001 , MATH 2002 , and MATH 2008 . Prerequisite(s): i) MATH 1005 or MATH 2007 ; and ii) MATH 1104 or MATH 1107 ; or permission of the School. Restricted to students in the Faculty of Engineering, or in certain B.Sc. programs where specified. Lectures three hours a week, tutorial one hour a week. MATH 2007 [0.5 credit] Elementary Calculus II Techniques of integration, improper integrals. Polar coordinates, parametric equations. Indeterminate forms, sequences and series, Taylor's formula and series. Precludes additional credit for Precludes additional credit for BIT 2007 (no longer offered), MATH 1002 (no longer offered), MATH 1005 , MATH 2052 . Prerequisite(s): i) MATH 1004 , or a grade of C- or higher in MATH 1007 ; or MATH 1052 and permission of the School. Lectures three hours a week, tutorial one hour a week. MATH 2008 [0.5 credit] Intermediate Calculus Partial differentiation, chain rule, gradient, line and multiple integrals with applications, transformations of multiple integrals. Precludes additional credit for Precludes additional credit for BIT 2005 (no longer offered), MATH 2000 (no longer offered), MATH 2001 , MATH 2002 , and MATH 2004 . Prerequisite(s): one of MATH 1005 , MATH 2052 , or MATH 2007 , and one of MATH 1104 , MATH 1107 , or MATH 1152 . Lectures three hours a week and one hour tutorial. MATH 2052 [0.5 credit] Calculus and Introductory Analysis II Definite, indefinite integrals. Improper integrals. The fundamental theorem of calculus. An introduction to differential equations. Sequences and series of functions. Power series. Taylor’s formulae. Uniform convergence. An emphasis is placed on proofs and theory. Precludes additional credit for Precludes additional credit for BIT 2007, MATH 1002 (no longer offered), MATH 1005 , MATH 2007 . Prerequisite(s): (i) MATH1052 with a grade of C- or higher or (MATH1007 or MATH1004 with a grade of B+ or higher and permission of the School), and (ii) MATH1800 with a grade of C+ or higher; or permission of the School. Lectures three hours a week, tutorial one and one half hours a week. MATH 2100 [1.0 credit] Algebra Introduction to group theory: permutation groups, Lagrange's theorem, normal subgroups, homomorphism theorems. Introduction to ring theory: ring of polynomials, integral domains, ideals, homomorphism theorems. Hermitian forms, spectral theorem for normal operators, bilinear and quadratic forms, classical groups. Precludes additional credit for Precludes additional credit for MATH 2108 and MATH 3101 . Prerequisite(s): i) MATH 2152 with a grade of C+ or higher, or ( MATH 2107 with a grade of B+ or higher and permission of the School); and ii) MATH 1800 with a grade of C+ or higher; or permission of the School. Lectures three hours a week, tutorial one hour a week. MATH 2107 [0.5 credit] Linear Algebra II Finite-dimensional vector spaces (over R and C), subspaces, linear independence and bases. Linear transformations and matrices. Inner product spaces (over R and C); Orthonormal bases. Eigenvalues and diagonalization. Bilinear and quadratic forms; principal axis theorem. Precludes additional credit for Precludes additional credit for MATH 1102 (no longer offered), MATH 2152 . Prerequisite(s): i) MATH 1104 , or a grade of C- or higher in MATH 1107 or MATH 1109; and ii) a grade of C- or higher in MATH 1007 or equivalent; or MATH 1152 and permission of the School. Note: in item i), MATH 1119 is NOT acceptable as a substitute for MATH 1109. Lectures three hours a week and one hour tutorial. MATH 2108 [0.5 credit] Abstract Algebra I Sets and relations, number theory, group theory, ring theory, cardinal numbers. Precludes additional credit for Precludes additional credit for MATH 3101 and MATH 2100 . Prerequisite(s): i) MATH 2152 or MATH 2107 ; and ii) MATH 1800 ( MATH 1800 may be taken concurrently, with permission of the School); or COMP 1805 ; or permission of the School. Lectures three hours a week and one hour tutorial. MATH 2152 [0.5 credit] Introductory Algebra II Linear transformations. Determinants. Eigenvalues and eigenspaces. Diagonalization and other canonical forms. Inner products. An emphasis is placed on proofs and theory. Precludes additional credit for Precludes additional credit for MATH 1102 (no longer offered) and MATH 2107 . Prerequisite(s): (i) MATH1152 with a grade of C- or higher or (MATH1107 or MATH1104 with a grade of B+ or higher and permission of the School), and (ii) MATH1800 with a grade of C+ or higher; or permission of the School. Lectures three hours a week, tutorial one and a half hours a week. MATH 2210 [0.5 credit] Introduction to Geometry An introduction to classical geometry; Euclidean plane geometry; plane tiling; polytopes in three and four dimensions; curved surfaces; Euler characteristic. This course is intended for a general audience, and is available to B.Math. students for credit only as a free elective. Prerequisite(s): Grade 12 Mathematics and second-year standing. Lectures three hours a week, tutorial one hour a week. MATH 2404 [0.5 credit] Ordinary Differential Equations I First-order equations, linear second- and higher-order equations, linear systems, stability of second-order systems. Precludes additional credit for Precludes additional credit for BIT 2004 (no longer offered), MATH 1005 , MATH 2454 . Prerequisite(s): MATH 2052 and MATH 1152 (or MATH 1107 and MATH 2007 ). Lectures three hours a week and one hour tutorial. MATH 2454 [0.5 credit] Ordinary Differential Equations (Honours) Existence and uniqueness theorems. First-order equations, linear second- and higher-order equations, linear systems, stability of second-order systems. Precludes additional credit for Precludes additional credit for MATH 2404 , BIT 2004 (no longer offered). Prerequisite(s): MATH 2052 or MATH 2007 or MATH 1005 with a grade of C+ or higher, and MATH 2152 or MATH 2107 with a grade of C+ or higher. Lectures three hours a week, tutorial one hour a week. MATH 2800 [0.5 credit] Discrete Mathematics and Algorithms An introduction to discrete mathematics and algorithms in the context of the computational sciences. Basic number theory and counting methods, algorithms for strings, trees and sequences. Applications to DNA and protein sequencing problems. Analysis and complexity of algorithms. Also listed as CMPS 2800. Precludes additional credit for Precludes additional credit for Only one of (MATH 1805 (no longer offered) or COMP 1805 ) or MATH 2800 /CMPS 2800 may count for credit in a B.Math. program. Prerequisite(s): COMP 1006 and at least one of MATH 1007 , MATH 1107 , or STAT 2507 . Lectures three hours a week. MATH 2907 [0.5 credit] Directed Studies (Honours) Available only to Honours students whose program requires a 0.5 credit not offered by the School of Mathematics and Statistics. MATH 3001 [0.5 credit] Real Analysis I (Honours) Metric spaces and their topologies, continuous maps, completeness, compactness, connectedness, introduction to Banach spaces. Prerequisite(s): ( MATH 2001 and MATH 2002 ) with a grade of C- or higher; or ( MATH 3009 and MATH 1800 ) each with a grade of B or higher, and permission of the instructor; or permission of the School. Lectures three hours a week and one hour tutorial. MATH 3002 [0.5 credit] Real Analysis II (Honours) Function spaces, pointwise and uniform convergence, Weierstrass approximation theorem, Lebesgue measure and Lebesgue integral on the real line, Hilbert space, Fourier series. Prerequisite(s): MATH 3001 with a grade of C- or higher, or permission of the School. Lectures three hours a week, tutorial one hour a week. MATH 3003 [0.5 credit] Advanced Differential Calculus (Honours) Review of multivariable differentiation and integration. Vector fields, differential forms and exterior algebra. Introduction to manifolds and tangent bundles. Stokes’ Theorem. Applications such as differential equations and the calculus of variations. Prerequisite(s): MATH 3001 with a grade of C- or higher, or permission of the School. Lectures three hours a week, tutorial one hour a week. MATH 3007 [0.5 credit] Functions of a Complex Variable Analytic functions, contour integration, residue calculus, conformal mapping. Intended for non-engineering students. Precludes additional credit for Precludes additional credit for MATH 3057 and PHYS 3807 . Prerequisite(s): one of MATH 2004 , MATH 2008 or MATH 2009, or permission of the School. Lectures three hours a week and one hour tutorial. MATH 3008 [0.5 credit] Ordinary Differential Equations (Honours) Analytic ordinary differential equations: series solutions of ordinary differential equations about ordinary and regular singular points. Asymptotic solutions. Sturm-Liouville theory. Bessel and Legendre functions. Fourier series. Precludes additional credit for Precludes additional credit for MATH 3404 and PHYS 3808 . Prerequisite(s): i) ( MATH 2001 and MATH 2002 ) with a grade of C- or higher, or ( MATH 3009 with a grade of B or higher, and permission of the instructor); and ii) MATH 2454 with a grade of C- or higher, or ( MATH 2404 with a grade of B or higher, and permission of the instructor). Lectures three hours a week and one hour tutorial. MATH 3009 [0.5 credit] Introductory Analysis The real number system, sequences and series, functions of a single real variable, derivatives, the definite integral, uniform convergence. Precludes additional credit for Precludes additional credit for MATH 2000 (no longer offered), MATH 2001 , and MATH 2002 . Prerequisite(s): one of MATH 2004 , MATH 2008 , MATH 2009, or permission of the School. Lectures three hours a week and one hour tutorial. MATH 3057 [0.5 credit] Functions of a Complex Variable (Honours) Analytic functions, contour integration, residue calculus, conformal mappings. Precludes additional credit for Precludes additional credit for MATH 3007 and PHYS 3807 . Prerequisite(s): MATH 2001 and MATH 2002 with a grade of C- or higher; or permission of the School. Lectures three hours a week and one hour tutorial. MATH 3101 [0.5 credit] Algebraic Structures with Computer Applications Introduction to algebraic structures: groups, rings, fields, lattices, and Boolean algebras; with applications of interest to students in Computer Science. This course may not be used to meet the 3000-level course requirements in any B.Math or B.Math Honours program in Mathematics and Statistics. Precludes additional credit for Precludes additional credit for MATH 2108 and MATH 2100 . Prerequisite(s): i) MATH 2107 or MATH 2152 ; and ii) either COMP 1805 or MATH 1800 ( MATH 1800 may be taken concurrently, with permission of the School); or permission of the School. Lectures three hours a week and one hour tutorial. MATH 3106 [0.5 credit] Introduction to Group Theory (Honours) Homomorphism theorems; groups acting on sets; permutation groups and groups of matrices; Sylow theory for finite groups; finitely generated abelian groups; generators and relations; applications. Precludes additional credit for Precludes additional credit for MATH 3108 . Prerequisite(s): MATH 2100 with a grade of C- or higher; or ( MATH 2108 or MATH 3101 with a grade of B or higher; and MATH 1800 with a grade of B or higher; and permission of the instructor); or permission of the School. Lectures three hours a week, tutorial one hour a week. MATH 3107 [0.5 credit] Linear Algebra III Similarity and unitary triangularization of matrices. Direct methods of solving a system of linear equations. Iterative techniques. Bounds for eigenvalues. Power method and deflation techniques of approximation. Emphasis is primarily on computational aspects. Prerequisite(s): i) a grade of C- or higher in MATH 2152 or MATH 2107 ; and ii) credit in MATH 2052 or MATH 2007 ; or permission of the School. Lectures three hours a week and one hour tutorial. MATH 3108 [0.5 credit] Abstract Algebra II Groups and rings. Permutations. Finite symmetry groups. Polynomials, unique factorization domains. Quotient rings, ideals. Field extensions, finite fields. Polynomial equations. Geometric constructions - three famous problems: duplication of the cube, trisection of an arbitrary angle, quadrature of the circle. Precludes additional credit for Precludes additional credit for MATH 3106 and MATH 3158 . Prerequisite(s): MATH 2108 , or permission of the School. Lectures three hours a week and one hour tutorial. MATH 3158 [0.5 credit] Rings and Fields (Honours) Rings, integral domains, Euclidean and principal ideal domains, fields, polynomial rings over a field, algebraic extensions of fields, the fundamental theorem of Galois theory, finite fields, applications. Precludes additional credit for Precludes additional credit for MATH 3108 . Prerequisite(s): MATH 2100 with a grade of C- or higher, or ( MATH 2108 or MATH 3101 with a grade of B or higher and MATH 1800 with a grade of B or higher and permission of the instructor), or permission of the School. Lectures three hours a week, tutorial one hour a week. MATH 3206 [0.5 credit] Plane Projective Geometry Axioms of Desarguesian geometry, principle of duality; projectivities, perspectivities, and the fundamental theorem; collineations (homologies and elations); correlations (polarities and conics); algebraic model; projective curves; introduction to finite projective planes. Precludes additional credit for Precludes additional credit for MATH 3256. Prerequisite(s): MATH 2100 or MATH 2108 or MATH 3101. Lectures three hours a week and one hour tutorial. MATH 3210 [0.5 credit] Euclidean and Non-Euclidean Geometry Euclidean isometry and similarity groups; geometry of circles; inversion; hyperbolic geometry: Poincare disk model of the hyperbolic plane. Precludes additional credit for Precludes additional credit for MATH 3205. Prerequisite(s): MATH 2100 or MATH 2108 or MATH 3101. Lectures three hours a week, tutorial one hour a week. MATH 3306 [0.5 credit] Elements of Set Theory (Honours) Axioms of set theory. Development of the systems of natural numbers and the real numbers. Axiom of choice, Zorn's lemma, well-ordering. The Schröder-Bernstein theorem, cardinal numbers, ordinal numbers, transfinite induction, cardinal and ordinal arithmetics. Prerequisite(s): MATH 2100 with a grade of C- or higher; or ( MATH 2108 or MATH 3101 with a grade of B or higher; and MATH 1800 with a grade of B or higher; and permission of the instructor); or permission of the School. Lectures three hours a week and one hour tutorial. MATH 3355 [0.5 credit] Number Theory and Applications (Honours) Congruences, distribution of primes, arithmetic functions, primitive roots, quadratic residues, quadratic reciprocity law, continued fractions, Diophantine equations, and applications: public key cryptography, primality testing and factoring in relation to cryptography. Precludes additional credit for Precludes additional credit for MATH 3809 . Prerequisite(s): MATH 2100 with a grade of C- or higher; or ( MATH 2108 or MATH 3101 with a grade of B- or higher; and permission of the instructor); or permission of the School. Lectures three hours a week, tutorial one hour a week. MATH 3404 [0.5 credit] Ordinary Differential Equations II Series solutions of ordinary differential equations of second order about regular singular points; asymptotic solutions. Systems of ordinary differential equations of first order; matrix methods. Existence and uniqueness theorems. Nonlinear autonomous systems of order 2; qualitative theory. Numerical solutions of ordinary differential equations. Precludes additional credit for Precludes additional credit for MATH 3008 . Prerequisite(s): MATH 2404 , MATH 2008 ; and MATH 2152 or MATH 2107 . Lectures three hours a week and one hour tutorial. MATH 3702 [0.5 credit] Mathematical Modelling (Honours) Introduction to techniques for construction, interpretation and validation of mathematical models. Continuous and discrete, deterministic and probabilistic models arising in a range of physical, natural and other practical application settings. Analytic techniques including variational principles, dimensional analysis, scaling, self-similarity, and model reduction. Prerequisite(s): MATH 2404 or MATH 2454 , MATH 2000 or MATH 2004 or MATH 2008 . Lectures three hours a week, tutorial one hour a week. MATH 3705 [0.5 credit] Mathematical Methods I Laplace transforms, series solutions of ordinary differential equations, the Frobenius method. Fourier series and Fourier transforms, solutions of partial differential equations of mathematical physics, boundary value problems, applications. Precludes additional credit for Precludes additional credit for PHYS 3808 . This course may be taken for credit as a 3000-level Honours Mathematics course by students in any Honours program in the School of Mathematics and Statistics. Prerequisite(s): i) MATH 1005 or MATH 2404 , and ii) MATH 2002 or MATH 2004 or MATH 2008 or MATH 3009 ; or permission of the School. Lectures three hours a week and one hour tutorial. MATH 3800 [0.5 credit] Mathematical Modeling and Computational Methods Design and analysis of mathematical models for problems in science. Computational methods, including function evaluation, interpolation, solution of linear equations, root finding, integration, solution of differential equations, Fourier series and Monte Carlo methods. Precludes additional credit for Precludes additional credit for MATH 3806 . Prerequisite(s): i) MATH 1107 or MATH 1104 ; ii) MATH 1005 or MATH 2007 ; and iii) knowledge of a computer language. Lectures three hours a week, laboratory one hour a week. MATH 3801 [0.5 credit] Linear Programming Systems of linear inequalities, formulation of linear programming problems, geometric method, the simplex method, duality theory, complementary slackness, sensitivity analysis, branch-and-bound method and cutting plane method for integer linear programming, applications and extensions. Precludes additional credit for Precludes additional credit for ECON 4004 , SYSC 3200 . Prerequisite(s): MATH 2152 or MATH 2107 , or permission of the School. Lectures three hours a week and one hour tutorial. MATH 3802 [0.5 credit] Combinatorial Optimization Network flow problems, network simplex method, max-flow min-cut problem, integral polyhedra, minimum-weight spanning tree problem, maximum matching problem, maximum stable set problem, introduction to approximation algorithms. Prerequisite(s): MATH 3801 or permission of the School. Lectures three hours a week, tutorial one hour a week. MATH 3804 [0.5 credit] Design and Analysis of Algorithms I An introduction to the design and analysis of algorithms. Topics include: recurrence relations, sorting and searching, divide-and-conquer, dynamic programming, greedy algorithms, NP-completeness. Also listed as COMP 3804 . Prerequisite(s): i) one of COMP 2402 or SYSC 2100 ; and ii) one of COMP 2804 or MATH 3855 or MATH 3825 or COMP 3805 . Lectures and tutorials three to four and a half hours a week. MATH 3806 [0.5 credit] Scientific Computing I (Honours) Introduction to computer arithmetic. Computational methods for polynomial interpolation, integration, nonlinear equations, ordinary and partial differential equations, and linear system solvers. Focus on implementation in an efficient complied language and standard numerical libraries. Precludes additional credit for Precludes additional credit for MATH 3800 . Prerequisite(s): i) ( MATH 2001 and MATH 2002 ) or MATH 2004 or MATH 2008 ; and ii) MATH 1152 with a grade of C- or higher, or ( MATH 1107 or MATH 1104 with a grade of B or higher and permission of the instructor); and iii) MATH 2454 or MATH 2404 or MATH 1005 ; and iv) COMP 1405 or COMP 1005 or STAT 1500 ; or permission of the school. Lectures three hours a week, laboratory one hour a week. MATH 3807 [0.5 credit] Mathematical Software (Honours) Implementation of numerical methods using numerical software packages. Development of scientific and/or operations research applications using application programming interfaces of numerical or optimization libraries. Functional programming for data analysis and machine learning. Experience working with Python, C++, or Java is essential. Also listed as COMP 3807 . Prerequisite(s): A grade of C- or higher in MATH 3806 . Lectures three hours a week, laboratory one hour a week. MATH 3808 [0.5 credit] Mathematical Analyses of Games of Chance This course covers mathematics used in the modern casino gaming industry. The topics include probabilities, odds, house advantages, variance and risks, optimal strategies, random walks and gambler's ruin, and gaming revenue estimation. Examples are taken from various games such as Roulette, Blackjack, and Poker. Prerequisite(s): one of STAT 2655 , STAT 2605 , STAT 2507 , STAT 2606, STAT 3502 , or MATH 3825 or MATH 3855 . Lectures three hours a week, tutorial one hour a week. MATH 3809 [0.5 credit] Introduction to Number Theory and Cryptography Congruences, distribution of primes, general cryptographic systems, public key cryptographic systems and authentification using number theory, primality testing and factoring in relation to cryptography, continued fractions and Diophantine equations. Prerequisite(s): MATH 2108 or MATH 3101 or MATH 2100 ; knowledge of a computer language. Lectures three hours a week and one hour tutorial. MATH 3819 [0.5 credit] Modern Computer Algebra Algorithms for multiplication, division, greatest common divisors and factorization over the integers, finite fields and polynomial rings. Basic tools include modular arithmetic, discrete Fourier transform, Chinese remainder theorem, Newton iteration, and Hensel techniques. Some properties of finite fields and applications to cryptography. Prerequisite(s): MATH 2108 or MATH 3101 or MATH 2100 , COMP 1005 or equivalent; or permission of the School. Lectures three hours a week, tutorial/laboratory one hour a week. MATH 3825 [0.5 credit] Discrete Structures and Applications Enumeration: elementary methods, inclusion and exclusion, recurrence relations, generating functions and applications. Graph theory and algorithms: connectivity, planarity, Hamilton paths and Euler trails. Error-correcting codes. Precludes additional credit for Precludes additional credit for MATH 3805 (no longer offered), and MATH 3855 and COMP 3805 . Prerequisite(s): MATH 2108 or MATH 3101 . Lectures three hours a week, tutorial one hour a week. MATH 3855 [0.5 credit] Discrete Structures and Applications (Honours) Enumeration: inclusion and exclusion, recurrence relations, generating functions and applications. Graph theory: connectivity, planarity, Hamilton paths and Euler trails. Error-correcting codes. Designs and finite geometries. Symmetry and counting. Also listed as COMP 3805 . Precludes additional credit for Precludes additional credit for MATH 3805 (no longer offered) and MATH 3825 . Prerequisite(s): MATH 2100 with a grade of C- or higher; or ( MATH 2108 or MATH 3101 ) with a grade of B or higher. Lectures three hours a week, tutorial one hour a week. MATH 3907 [0.5 credit] Directed Studies Available only to students whose program requires a 0.5 credit not offered by the School of Mathematics and Statistics. MATH 3999 [0.0 credit] Co-operative Work Term Report (Honours) On completion of each work term, the student must submit to the School of Mathematics and Statistics a written report on the work performed. Graded Sat or Uns. Prerequisite(s): registration in the Co-operative Education Option of an Honours program offered by the School of Mathematics and Statistics, and permission of the School. MATH 4002 [0.5 credit] Fourier Analysis (Honours) Fourier series, Fourier integrals; introduction to harmonic analysis on locally compact abelian groups, Plancherel Theorem, Pontryagin duality; selected applications. Prerequisite(s): MATH 3001 or permission of the School. Lectures three hours a week. MATH 4003 [0.5 credit] Functional Analysis (Honours) Banach spaces and bounded linear operators, Hahn-Banach extension and separation, dual spaces, bounded inverse theorems, uniform boundedness principle, applications. Compact operators. Prerequisite(s): MATH 4007 or permission of the School. Also offered at the graduate level, with different requirements, as MATH 5008 , for which additional credit is precluded. Lectures three hours a week. MATH 4007 [0.5 credit] Measure and Integration Theory (Honours) Lebesgue measure and integration on the real line; sigma algebras and measures; integration theory; Lp spaces; Fubini's theorem; decomposition theorems and Radon-Nikodym derivatives. Prerequisite(s): MATH 3001 or permission of the School. Also offered at the graduate level, with different requirements, as MATH 5007 , for which additional credit is precluded. Lectures three hours a week. MATH 4102 [0.5 credit] Group Representations and Applications (Honours) An introduction to the group representations and character theory, with selected applications. Prerequisite(s): MATH 3106 , or a grade of B or higher in MATH 3108 . Also offered at the graduate level, with different requirements, as MATH 5102 , for which additional credit is precluded. Lectures three hours a week. MATH 4105 [0.5 credit] Rings and Modules (Honours) Fundamental concepts in rings and modules, structure theorems, applications. Prerequisite(s): MATH 3158 or permission of the School. Lectures three hours a week. MATH 4106 [0.5 credit] Group Theory (Honours) Fundamental principles as applied to abelian, nilpotent, solvable, free and finite groups; representations. Prerequisite(s): MATH 3106 or permission of the School. Also offered at the graduate level, with different requirements, as MATH 5106 , for which additional credit is precluded. Lectures three hours a week. MATH 4107 [0.5 credit] Commutative Algebra (Honours) Fields, including algebraic and transcendental extensions, Galois theory, valuation theory; Noetherian commutative rings, including Noether decomposition theorem and localization. Prerequisite(s): MATH 3158 or permission of the School. Lectures three hours a week. MATH 4108 [0.5 credit] Homological Algebra and Category Theory (Honours) Axioms of set theory; categories, functors, natural transformations; free, projective, injective and flat modules; tensor products and homology functors, derived functors; dimension theory. Prerequisite(s): MATH 3158 or permission of the School. Also offered at the graduate level, with different requirements, as MATH 5108 , for which additional credit is precluded. Lectures three hours a week. MATH 4109 [0.5 credit] Fields and Coding Theory (Honours) Introduction to field theory, emphasizing the structure of finite fields, primitive elements and irreducible polynomials. The influence of computational problems will be considered. Theory and applications of error-correcting codes: algebraic codes, convolution codes, decoding algorithms, and analysis of code performance. Prerequisite(s): MATH 2100 , or MATH 3101 or MATH 2108 or equivalent; or permission of the School. Lectures three hours a week. MATH 4205 [0.5 credit] Introduction to General Topology (Honours) Topological spaces, maps, subspaces, product and identification topologies, separation axioms, compactness, connectedness. Prerequisite(s): MATH 3001 or permission of the School. Also offered at the graduate level, with different requirements, as MATH 5205 , for which additional credit is precluded. Lectures three hours a week. MATH 4206 [0.5 credit] Introduction to Algebraic Topology (Honours) An introduction to homotopy theory. Topics include the fundamental group, covering spaces and the classification of two-dimensional manifolds. Prerequisite(s): MATH 3106 and MATH 4205 ; or permission of the School. Also offered at the graduate level, with different requirements, as MATH 5206 , for which additional credit is precluded. Lectures three hours a week. MATH 4207 [0.5 credit] Foundations of Geometry (Honours) A study of at least one modern axiom system of Euclidean and non-Euclidean geometry, embedding of hyperbolic and Euclidean geometries in the projective plane, groups of motions, models of non-Euclidean geometry. Prerequisite(s): MATH 3106 (may be taken concurrently) or permission of the School. Lectures three hours a week. MATH 4208 [0.5 credit] Introduction to Differentiable Manifolds (Honours) Introduction to differentiable manifolds; Riemannian manifolds; vector fields and parallel transport; geodesics; differential forms on a manifold; covariant derivative; Betti numbers. Prerequisite(s): MATH 3002 or permission of the School. Lectures three hours a week. MATH 4305 [0.5 credit] Analytic Number Theory (Honours) Dirichlet series, characters, Zeta-functions, prime number theorem, Dirichlet's theorem on primes in arithmetic progressions, binary quadratic forms. Prerequisite(s): MATH 3057 or permission of the School. Also offered at the graduate level, with different requirements, as MATH 5305 , for which additional credit is precluded. Lectures three hours a week. MATH 4306 [0.5 credit] Algebraic Number Theory (Honours) Algebraic number fields, bases, algebraic integers, integral bases, arithmetic in algebraic number fields, ideal theory, class number. Prerequisite(s): MATH 3158 (may be taken concurrently) or permission of the School. Also offered at the graduate level, with different requirements, as MATH 5306 , for which additional credit is precluded. Lectures three hours a week. MATH 4600 [0.5 credit] Case Studies in Operations Research (Honours) Applications of the principles of Operations Research to practical problems in business, management, and science. Students present at least one case and analyze cases in the published literature. Cases may also be presented by visiting practitioners. Precludes additional credit for Precludes additional credit for Students in Honours Mathematics/Statistics programs may only take course as a free option. Prerequisite(s): STAT 2509 (or STAT 2559 ) and MATH 3801 ; or permission of the School. Seminars three hours a week. MATH 4700 [0.5 credit] Partial Differential Equations (Honours) Initial/boundary value problems for first-order and linear second-order partial differential equations. Solution methods including characteristics, separation of variables, Fourier and Laplace transforms, Green’s functions. Applications such as wave dynamics, reaction-diffusion systems. Prerequisite(s): MATH 3057 and one of MATH 2454 or MATH 3705 , or permission of the School. Lectures three hours a week. MATH 4701 [0.5 credit] Topics in Differential Equations (Honours) Topics in the theory and application of differential equations; for example, hyperbolic systems, fluid dynamics, nonlinear wave equations, optimal mass transport, control theory, calculus of variations. Prerequisite(s): i) MATH 2454 ; and ii) one of MATH 3001 or MATH 3057 ; or permission of the School. Also offered at the graduate level, with different requirements, as MATH 5407 , for which additional credit is precluded. Lectures three hours a week. MATH 4702 [0.5 credit] Industrial Mathematics (Honours) Project based and application driven course involving in-depth study of mathematical models. Fields of application will vary, drawn from areas such as ecology, epidemiology, mechanics, finance, transportation, communication and manufacturing. Focus will be on the development, analysis and validity of models. Prerequisite(s): MATH 3702 , or permission of the school. Lectures three hours a week. MATH 4703 [0.5 credit] Dynamical Systems (Honours) Basic concepts of dynamical systems. Vector formulation for systems. Theory of autonomous systems in one, two and higher dimensions. Limit sets, stability. Phase plane, qualitative interpretation, limit cycles and attractors. Parametric dependence, bifurcations and chaos. Applications. Prerequisite(s): MATH 3001 and MATH 3008 or permission of the School. Lectures three hours a week. MATH 4708 [0.5 credit] Asymptotic Methods of Applied Mathematics (Honours) Asymptotic series: properties, matching, application to differential equations. Asymptotic expansion of integrals: elementary methods, methods of Laplace, stationary phase and steepest descent, Watson’s lemma, Riemann-Lebesgue lemma. Perturbation methods: regular and singular perturbation for differential equations, multiple scale analysis, boundary layer theory, WKB theory. Prerequisite(s): ( MATH 3057 or MATH 3007 ) and ( MATH 2454 or MATH 3705 ), or permission of the School. Also offered at the graduate level, with different requirements, as MATH 5408 , for which additional credit is precluded. Lectures three hours a week. MATH 4801 [0.5 credit] Topics in Combinatorics (Honours) An in-depth study of one or more topics from: generating functions, Polya's theory of counting, block designs, coding theory, partially ordered sets and Ramsey theory. Prerequisite(s): MATH 2100 and MATH 3855 or permission of the School. Lectures three hours a week. MATH 4802 [0.5 credit] Introduction to Mathematical Logic (Honours) Symbolic logic, propositional and predicate calculi, set theory and model theory, completeness. Prerequisite(s): MATH 2100 or permission of the School. Lectures three hours a week. MATH 4803 [0.5 credit] Computable Functions (Honours) Recursive functions and computability, algorithms, Church's thesis, Turing machines, computational logic, NP-completeness. Also listed as COMP 4803 . Prerequisite(s): MATH 2100 or MATH 3855 or permission of the School. Lectures three hours a week. MATH 4805 [0.5 credit] Theory of Automata (Honours) Finite automata and regular expressions, properties of regular sets, context-free grammars, pushdown automata, deterministic context-free languages. Turing machines, the Chomsky hierarchy. Undecidability, intractable problems. Also listed as COMP 4805 . Prerequisite(s): MATH 3106 or MATH 3158 or MATH 3855 or permission of the School. Also offered at the graduate level, with different requirements, as MATH 5605 , for which additional credit is precluded. Lectures three hours a week. MATH 4806 [0.5 credit] Scientific Computing II (Honours) Computational methods in numerical linear algebra including solvers for large linear systems, numerical optimization and eigenvalue problems. Application to topics such as scientific machine learning or parallel computing. Focus on implementation in an efficient compiled language and standard numerical libraries. Also listed as COMP 4806 . Prerequisite(s): i) MATH 3806 ; and ii) MATH 2152 or MATH 2107 with a grade of C- or higher, or permission of the school. Lectures three hours a week. MATH 4807 [0.5 credit] Game Theory (Honours) One-player games, two-player zero-sum games, multi-player games, games in normal form, games in extensive form, utility theory, Nash equilibrium and Nash arbitration scheme, games in characteristic function form, cooperative solutions, dominations, stable sets, core, Shapley value, applications of game theory. Prerequisite(s): MATH 3801 or permission of the School. Also offered at the graduate level, with different requirements, as MATH 5607 , for which additional credit is precluded. Lectures three hours a week. MATH 4808 [0.5 credit] Graph Theory and Algorithms (Honours) Paths, circuits, Eulerian and Hamiltonian graphs, connectivity, colouring problems, matching, Ramsey theory, network flows. Prerequisite(s): MATH 3106 or MATH 3158 or MATH 3855 or permission of the School. Lectures three hours a week. MATH 4809 [0.5 credit] Mathematical Cryptography (Honours) Topics covered include: a general survey of public key cryptography; classical applications of finite fields and number theory; relevant background in geometry and algebraic curves; computational issues concerning elliptic curves; elliptic curve cryptosystems; security issues. Prerequisite(s): MATH 3158 , or permission of the School. Lectures three hours a week. MATH 4811 [0.5 credit] Combinatorial Design Theory (Honours) Existence and construction of combinatorial designs: finite geometries, pairwise balanced designs, balanced incomplete block designs, Steiner triple systems, symmetric designs, PBD closure, latin squares, transversal designs, and applications to information theory. Prerequisite(s): MATH 3855 , or permission of the School. Lectures three hours a week. MATH 4816 [0.5 credit] Numerical Analysis for Differential Equations (Honours) Floating point arithmetic; numerical solution of ODEs; finite difference methods for PDEs; stability, accuracy and convergence: von Neumann analysis, CFL condition, Lax Theorem. Finite element methods: boundary value problems and elliptic PDEs. Spectral and pseudo-spectral methods. Prerequisite(s): MATH 2454 and MATH 3806 , or permission of the School. Also offered at the graduate level, with different requirements, as MATH 5806 , for which additional credit is precluded. Lectures three hours a week. MATH 4821 [0.5 credit] Quantum Computing (Honours) Space of quantum bits; entanglement. Observables in quantum mechanics. Density matrix and Schmidt decomposition. Quantum cryptography. Classical and quantum logic gates. Quantum Fourier transform. Shor's quantum algorithm for factorization of integers. Precludes additional credit for Precludes additional credit for COMP 4114 . Prerequisite(s): MATH 2152 (or MATH 2107 ) with a grade of C+ or better, and permission of the School. Also offered at the graduate level, with different requirements, as MATH 5821 , for which additional credit is precluded. Lectures three hours a week. MATH 4822 [0.5 credit] Wavelets and Digital Signal Processing (Honours) Lossless compression methods. Discrete Fourier transform and Fourier-based compression methods. JPEG and MPEG. Wavelet analysis. Digital filters and discrete wavelet transform. Daubechies wavelets. Wavelet compression. Prerequisite(s): MATH 2152 (or MATH 2107 ) with a grade of C+ or better, and permission of the School. Also offered at the graduate level, with different requirements, as MATH 5822 , for which additional credit is precluded. Lectures three hours a week. MATH 4905 [0.5 credit] Honours Project (Honours) Consists of a written report on some approved topic or topics in the field of mathematics, together with a short lecture on the report. Prerequisite(s): B.Math.(Honours) students only. MATH 4907 [0.5 credit] Directed Studies (Honours) Prerequisite(s): B.Math.(Honours) students only. Statistics (STAT) Courses STAT 1500 [0.5 credit] Introduction to Statistical Computing Basics of programming in R and introduction to statistical software; generating statistical plots; computing descriptive statistics; performing basic statistical procedures; fundamentals of numerical analysis; optimization; generating random numbers, performing simple simulations and simulation-based inference. Prerequisite(s): Ontario Grade 12 Mathematics: Advanced Functions, or MATH 0005 , or equivalent. Lectures three hours a week, laboratory one hour a week. STAT 2210 [0.5 credit] Inferential Data Science Foundations I Theoretical foundations to data science using open source software. Empirical distribution functions, point estimation, interval estimation, tests of hypotheses, maximum likelihood and method of moments. Formal tools are developed, and concepts are demonstrated using simulation. Abstract concepts are made concrete through visualization and numerical computation. Precludes additional credit for Precludes additional credit for STAT 3508 , STAT 3558 . Prerequisite(s): MATH 2007 (or MATH 1005 or MATH 2052 ); and DATA 2500 ; and DATA 1519 (or STAT 2509 or STAT 2559 ). Lectures three hours a week, laboratory one hour a week. STAT 2507 [0.5 credit] Introduction to Statistical Modeling I A data-driven introduction to statistics. Basic descriptive statistics, introduction to probability theory, random variables, discrete and continuous distributions, contingency tables, sampling distributions, distribution of sample mean, Central Limit Theorem, interval estimation and hypothesis testing. A statistical software package will be used. Precludes additional credit for Precludes additional credit for BIT 2000 , BIT 2009 , BIT 2100 (no longer offered), BIT 2300 (no longer offered), DATA 1517 , ECON 2201 (no longer offered), ECON 2210 , ENST 2006 , GEOG 2006 , STAT 2601 , STAT 2606, and STAT 3502 . May not be counted for credit in any program if taken after successful completion of STAT 2559 . Prerequisite(s): an Ontario Grade 12 university-preparation Mathematics or equivalent, or permission of the School of Mathematics and Statistics. Lectures three hours a week, laboratory one hour a week. STAT 2509 [0.5 credit] Introduction to Statistical Modeling II A data-driven approach to statistical modeling. Basics of experimental design, analysis of variance, simple linear regression and correlation, nonparametric procedures. A statistical software package will be used. Precludes additional credit for Precludes additional credit for DATA 1519 , ECON 2202, ECON 2220 (no longer offered), ECON 3210 , STAT 2602 , STAT 2607. Prerequisite(s): STAT 2507 or STAT 2601 or STAT 2606 or STAT 3502 ; or permission of the School. Lectures three hours a week, laboratory one hour a week. STAT 2559 [0.5 credit] Basics of Statistical Modeling (Honours) Estimation and hypothesis testing for one and two samples, analysis of categorical data, basics of experimental design, analysis of variance, simple linear regression and correlation. Nonparametric procedures. A statistical software package will be used. Precludes additional credit for Precludes additional credit for DATA 1519 . Prerequisite(s): STAT 2655 or permission of the School. Lectures three hours a week, tutorial/laboratory one hour a week. STAT 2601 [0.5 credit] Business Statistics Introduction to statistical computing, descriptive statistics, probability concepts, interval estimation and hypothesis testing, categorical data analysis. Introduction to simple regression, multiple regression, and time series. Emphasis on the development of an ability to interpret results of statistical analyses with applications from business. Precludes additional credit for Precludes additional credit for BIT 2000 , BIT 2009 , BIT 2100 (no longer offered), BIT 2300 (no longer offered), DATA 1517 , ECON 2201 (no longer offered), ECON 2210 , ENST 2006 , GEOG 2006 , STAT 2507 , STAT 2606 (no longer offered) and STAT 3502 . Prerequisite(s): MATH 1009 . Restricted to B.Com. and B.I.B students. Lectures three hours a week and laboratory one hour a week. STAT 2602 [0.5 credit] Statistical Models for Business Analytics and Finance Analysis of variance, multiple regression (including polynomial regression), logistic and Poisson regression, probit models, time series (including decomposition into components, exponential smoothing, model diagnostics and ARIMA models), Monte Carlo simulation. Precludes additional credit for Precludes additional credit for DATA 1519 , STAT 2607 (no longer offered). Prerequisite(s): STAT 2601 . Lectures three hours a week and laboratory one hour a week. STAT 2605 [0.5 credit] Probability Models Basic probability; discrete random variables with focus on binomial and Poisson random variables; continuous random variables, transformation theorem, simulating continuous random variables; exponential random variable, normal random variable, sums of random variables, central limit theorem. Elements of Markov chains, and introduction to Poisson processes. Precludes additional credit for Precludes additional credit for STAT 2655 and STAT 3502 . Prerequisite(s): MATH 1007 or MATH 1004 or MATH 1002 (no longer offered) or MATH 1052 , and MATH 1104 or MATH 1107 or MATH 1102 (no longer offered) or MATH 1152 . Restricted to students in Bachelor of Computer Science and Bachelor of Mathematics in Computer Mathematics. Lectures three hours a week, tutorial one hour a week. STAT 2655 [0.5 credit] Introduction to Probability with Applications (Honours) Probability axioms, basic combinatorial analysis, conditional probability and independence, discrete and continuous random variables, joint and conditional distributions, expectation and moments, probability and moment generating functions, Chebyshev's inequality and weak law of large numbers, central limit theorem, sampling distributions, simulation and applications to descriptive statistics. Precludes additional credit for Precludes additional credit for STAT 2605 . Prerequisite(s): MATH 2052 with a grade of C+ or higher or MATH 2007 or MATH 1005 with a grade of B+ or higher; and MATH 2152 with a grade of C+ or higher or MATH 2107 with a grade of B+ or higher; or permission of the School. Lectures three hours a week, tutorial one hour a week. STAT 2660 [0.5 credit] Mathematics for Finance (Honours) Interest rates, growth of money, discount functions, yield rates, time value of money, annuities, cash flows and portfolios, loans, mortgages, bonds, immunization, swaps, hedging and investment strategies, stocks and financial markets, arbitrage. Prerequisite(s): i) one of MATH 2052 or MATH 2007 or MATH 1005 , grade of C+ or higher; and ii) one of MATH 1152 or MATH 1107 or MATH 1104 , grade of C+ or higher; or permission of the School. Lectures three hours a week, tutorial one hour a week. STAT 2907 [0.5 credit] Directed Studies (Honours) Available only to Honours students whose program requires a 0.5 credit not offered by the School of Mathematics and Statistics. STAT 3502 [0.5 credit] Probability and Statistics Axioms of probability; conditional probability and independence; random variables; distributions: binomial, Poisson, hypergeometric, normal, gamma; central limit theorem; sampling distributions; point estimation: maximum likelihood, method of moments; confidence intervals; testing of hypotheses: one and two populations; engineering applications: acceptance sampling, control charts, reliability. Precludes additional credit for Precludes additional credit for BIT 2000 , BIT 2009 , BIT 2100 (no longer offered), BIT 2300 (no longer offered), DATA 1517 , ECON 2201 (no longer offered), ECON 2210 , STAT 2507 , STAT 2605 , STAT 2601 , and STAT 2606. Prerequisite(s): MATH 2004 and enrolment in the Faculty of Engineering or B.Sc. programs of the Department of Physics [except Double Honours Mathematics and Physics]. Lectures three hours a week and one hour laboratory. STAT 3503 [0.5 credit] Regression Analysis Review of simple and multiple regression with matrices, Gauss-Markov theorem, polynomial regression, indicator variables, residual analysis, weighted least squares, variable selection techniques, nonlinear regression, correlation analysis and autocorrelation. Computer packages are used for statistical analyses. Precludes additional credit for Precludes additional credit for STAT 3553 . Prerequisite(s): i) DATA 1519 or STAT 2509 or STAT 2602 or STAT 2607 or ECON 2202 or ECON 2220 or equivalent; and ii) MATH 1152 or MATH 1107 or MATH 1119 or equivalent; or permission of the School. Lectures three hours a week and one hour laboratory. STAT 3504 [0.5 credit] Analysis of Variance and Experimental Design Single and multifactor analysis of variance, orthogonal contrasts and multiple comparisons, analysis of covariance; nested, crossed and repeated measures designs; completely randomized, randomized block, Latin squares, factorial experiments, related topics. Computer packages are used for statistical analyses. Precludes additional credit for Precludes additional credit for STAT 4504 . Prerequisite(s): STAT 3503 or permission of the School. Lectures three hours a week and one hour laboratory. STAT 3506 [0.5 credit] Stochastic Processes and Applications (Honours) Conditional probability and conditional expectation; Stochastic modeling; discrete time Markov chains including classification of states, stationary and limiting distributions; exponential distribution and the Poisson processes; queueing models; applications to computer systems, operations research and social sciences. Prerequisite(s): STAT 2655 with a grade of C- or higher; or permission of the School. Lectures three hours a week, tutorial one hour a week. STAT 3507 [0.5 credit] Sampling Methodology The sample survey as a vehicle for information collection in government, business, scientific and social agencies. Topics include: planning a survey, questionnaire design, simple random, stratified, systematic and cluster sampling designs, estimation methods, problem of non-response, related topics. Prerequisite(s): one of: STAT 2507 , STAT 2509 , STAT 2601 , STAT 2602 , STAT 2606, STAT 2607, ECON 2201, ECON 2202, ECON 2210 , or equivalent; or permission of the School. Lectures three hours a week and one hour laboratory. STAT 3508 [0.5 credit] Elements of Probability Theory Discrete and continuous distributions, moment-generating functions, marginal and conditional distributions, transformation theory, limiting distributions. Precludes additional credit for Precludes additional credit for ECON 4002 , STAT 2210 , STAT 3558 and STAT 3608. Prerequisite(s): i) MATH 2008 (or MATH 2004 or MATH 2009); and ii) one of STAT 2507 , STAT2601, STAT 2606, ECON 2200, or ECON 2201 or permission of the School. Lectures three hours a week, tutorial one hour a week. STAT 3509 [0.5 credit] Mathematical Statistics Point and interval estimation, sufficient statistics, hypothesis testing, chi-square tests with enumeration data. Precludes additional credit for Precludes additional credit for STAT 3559 , STAT 4321 . Prerequisite(s): STAT 3508 or permission of the School. Lectures three hours a week, tutorial one hour a week. STAT 3553 [0.5 credit] Regression Modeling (Honours) Linear regression - theory, methods and application(s). Normal distribution theory. Hypothesis tests and confidence intervals. Model selection. Model diagnostics. Introduction to weighted least squares and generalized linear models. Precludes additional credit for Precludes additional credit for STAT 3503 . Prerequisite(s): i) STAT 2559 with a grade of C- or higher, or STAT 2210 with a grade of C or higher; and ii) a grade of C- or higher in MATH 1152 or MATH 1107 or MATH 1104 ; or permission from the School of Mathematics and Statistics. Lectures three hours a week, laboratory one hour a week. STAT 3558 [0.5 credit] Elements of Probability Theory (Honours) Random variables and moment-generating functions, concepts of conditioning and correlation; laws of large numbers, central limit theorem; multivariate normal distribution; distributions of functions of random variables, sampling distributions, order statistics. Precludes additional credit for Precludes additional credit for ECON 4002 , STAT 2210 , STAT 3508 and STAT 3608. Prerequisite(s): i) STAT 2655 with a grade of C- or higher; and ii) ( MATH 2001 and MATH 2002 with a grade of C- or higher), or (a grade of C+ or higher in MATH 2008 or MATH 2004 , and permission of the instructor); or permission of the School. Lectures three hours a week, tutorial one hour a week. STAT 3559 [0.5 credit] Mathematical Statistics (Honours) Empirical distribution functions, Monte Carlo methods, elements of decision theory, point estimation, interval estimation, tests of hypotheses, robustness, nonparametric methods. Precludes additional credit for Precludes additional credit for STAT 3509 , STAT 4321 . Prerequisite(s): STAT 3558 with a grade of C- or higher; or ( STAT 3508 with a grade of B or higher, and permission of the instructor); or permission of the School. Lectures three hours a week, tutorial one hour a week. STAT 3660 [0.5 credit] Actuarial Mathematics I Severity, frequency models, loss models, risk measures, value at risk, stochastic processes, Poisson process, characteristics of actuarial models, creating new univariate distributions, heavy-tailed distributions, mixed distributions, coverage modifications. Prerequisite(s): STAT 2655 , or permission from the school. Lectures three hours a week, tutorial one hour a week. STAT 3661 [0.5 credit] Life Contingent Risk Modelling I Introduction to life insurance; traditional and modern insurance contracts; underwriting; premiums; present value random variable; force of mortality; life tables; insurance benefits; annuities; premium calculation, reserves. Prerequisite(s): STAT 2660 and STAT 3660 , or permission of the School. Lectures three hours a week, tutorial one hour a week. STAT 3907 [0.5 credit] Directed Studies Available only to students whose program requires a 0.5 credit not offered by the School of Mathematics and Statistics. STAT 3999 [0.0 credit] Co-operative Work Term STAT 4321 [0.5 credit] Inferential Data Science Foundations II Inferential data science tools extending to big data using open-source software. Asymptotic properties of likelihoods, parametric and non-parametric approaches, bootstrap, jackknife estimation, frequentist and Bayesian perspectives. Formal tools are developed. Concepts are demonstrated using simulation. Abstract concepts are made concrete through visualization and numerical computation. Precludes additional credit for Precludes additional credit for STAT 3509 or STAT 3559 . Prerequisite(s): STAT 2210 . Lectures three hours a week, laboratory one hour a week. STAT 4322 [0.5 credit] Learning from Big Data A data-first tour of advanced statistical models. Focus will be on a series of large real world forecasting and prediction competitions. Tools and workflows for statistical modelling are explored. Prerequisite(s): DATA 3500 and STAT 2210 . Lectures three hours a week, laboratory one hour a week. STAT 4500 [0.5 credit] Parametric Estimation (Honours) Preliminaries on probability theory; exact and asymptotic sampling distributions; unbiasedness, consistency, efficiency, sufficiency and completeness; properties of maximum likelihood estimators; least squares estimation of location and scale parameters based on order statistics and sample quantiles; Best Asymptotically Normal (BAN) estimators. Prerequisite(s): STAT 3559 or permission of the School. Also offered at the graduate level, with different requirements, as STAT 5600 , for which additional credit is precluded. Lectures three hours a week. STAT 4501 [0.5 credit] Probability Theory (Honours) Introduction to probability, characteristic functions, probability distributions, limit theorems. Prerequisite(s): STAT 3506 and STAT 3558 or permission of the School. Lectures three hours a week. STAT 4502 [0.5 credit] Survey Sampling (Honours) Basic concepts in sampling from finite populations; simple random sampling; stratified sampling; choice of sampling unit; cluster and systematic sampling; introduction to multistage sampling; ratio estimation; sampling with unequal probabilities and with replacement; replicated sampling; related topics. Prerequisite(s): i) STAT 2559 or STAT 2509 or DATA 1519 ; and ii) either STAT 3559 , or a grade of C + or better in STAT 3509 or STAT 2210 ; or permission of the School. Lectures three hours a week. STAT 4503 [0.5 credit] Applied Multivariate Analysis (Honours) Selected topics in regression and correlation non-linear models. Multivariate statistical methods, principal components, factor analysis, multivariate analysis of variance, discriminant analysis, canonical correlation, analysis of categorical data. Prerequisite(s): STAT 3553 or ( STAT 3509 and STAT 3503 ) or permission of the School. Also offered at the graduate level, with different requirements, as STAT 5509 , for which additional credit is precluded. Lectures three hours a week. STAT 4504 [0.5 credit] Statistical Design and Analysis of Experiments (Honours) An extension of the designs discussed in STAT 2559 to include analysis of the completely randomized design, designs with more than one blocking variable, incomplete block designs, fractional factorial designs, multiple comparisons; and response surface methods. Precludes additional credit for Precludes additional credit for STAT 3504 and ECON 4706 . PSYC 3000 is precluded for additional credit for students registered in a Mathematics program. Prerequisite(s): STAT 3553 or STAT 3503 ; or permission of the School of Mathematics and Statistics. Lectures three hours a week, laboratory one hour a week. STAT 4506 [0.5 credit] Nonparametric Statistics (Honours) Classical nonparametric techniques; nonparametric density estimation; nonparametric regression analysis: kernel estimators, orthogonal series estimators, smoothing splines; estimation of statistical functionals; nonparametric bootstrap; jackknife; elements of high dimensional statistical inference; multiple testing and false discovery. Statistical software will be used. Prerequisite(s): STAT 3559 or permission of the School. Also offered at the graduate level, with different requirements, as STAT 5516 , for which additional credit is precluded. Lectures three hours a week. STAT 4507 [0.5 credit] Statistical Inference (Honours) Sufficient statistics, simple and composite hypotheses, most powerful and similar region test, distribution-free tests, confidence intervals, goodness-of-fit and likelihood ratio tests, large sample theory, Bayesian and likelihood methods, sequential tests. Prerequisite(s): STAT 4500 or permission of the School. Also offered at the graduate level, with different requirements, as STAT 5501 , for which additional credit is precluded. Lectures three hours a week. STAT 4508 [0.5 credit] Stochastic Models (Honours) Review of discrete Markov chains and Poisson processes; continuous time Markov chains; pure jump Markov processes, and birth and death processes including the Q-matrix approach; the Kolmogorov equations; renewal theory; introduction to Brownian motion; queueing theory. Prerequisite(s): STAT 3506 or permission of the School. Also offered at the graduate level, with different requirements, as STAT 5701 , for which additional credit is precluded. Lectures three hours a week. STAT 4509 [0.5 credit] Advanced Mathematical Modeling (Honours) Real-life situations in the physical, social, and life sciences are often modeled using mathematical tools. This course will examine various models and techniques used in their analysis, e.g., matrix procedures in connection with population models. Students will use a computer package to obtain numerical results. Prerequisite(s): i) MATH 2454 and STAT 2655 (or MATH 2404 and STAT 2605 ) and ii) STAT 3506 ; or permission of the School. Also offered at the graduate level, with different requirements, as STAT 5601 , for which additional credit is precluded. Lectures three hours a week. STAT 4555 [0.5 credit] Monte Carlo Simulation (Honours) Basic ideas and algorithms of Monte Carlo; simulation of basic stochastic processes. Brownian motion and the Poisson process, applications to financial modelling, queueing theory. Output analysis; variance reduction. Markov chain Monte Carlo methods; Gibbs sampling, simulated annealing and Metropolis-Hastings samplers with applications. Precludes additional credit for Precludes additional credit for STAT 3555 (no longer offered). Prerequisite(s): STAT 3558 , or a grade of B or higher in STAT 3508 , or permission of the School. Lectures three hours a week, tutorial/laboratory one hour a week. STAT 4601 [0.5 credit] Data Mining I (Honours) Data visualization; knowledge discovery in datasets; unsupervised learning: clustering algorithms; dimension reduction; supervised learning: pattern recognition, smoothing techniques, classification. Computer software will be used. Prerequisite(s): STAT 3553 or STAT 3503 or MATH 3806 , or permission of the School. Lectures three hours a week, laboratory one hour a week. STAT 4603 [0.5 credit] Time Series and Forecasting (Honours) Time series regression. Nonstationary and stationary time series models. Nonseasonal and seasonal time series models. ARIMA (Box-Jenkins) models. Smoothing methods. Parameter estimation, model identification, diagnostic checking. Forecasting techniques. A statistical software package will be used. Precludes additional credit for Precludes additional credit for ECON 4713 . Prerequisite(s): STAT 3553 or STAT 3503 , or permission of the School. Lectures three hours a week. STAT 4604 [0.5 credit] Statistical Computing (Honours) Statistical computing techniques, pseudo-random number generation, tests for randomness, numerical algorithms in statistics; optimization techniques; environments for data analysis, efficient programming techniques; statistics with mainstream software. Prerequisite(s): STAT 3553 or STAT 3503 or permission of the School. Lectures three hours a week, laboratory one hour a week. STAT 4607 [0.5 credit] Bayesian Statistical Analysis (Honours) Probability basics for Bayesian statistics. Bayesian inference for simple exponential families. Markov Chain Monte Carlo for posterior inference. Empirical Bayes. Hierarchical Bayes. Bayesian inference for the multivariate normal model. Bayesian linear regression. More advanced topics may be included. Computer software will be used. Prerequisite(s): STAT 3553 or permission of the School. Lectures three hours a week, laboratory one hour a week. STAT 4660 [0.5 credit] Actuarial Mathematics II Empirical models, complete data, grouped data, credibility theory, failure time, accuracy, kernel estimation, goodness of fit tests, Bayesian analysis, inference for loss models, frequentist estimation, model selection. Prerequisite(s): STAT 3660 with C+ or higher, or permission of the school. Lectures three hours a week, tutorial one hour a week. STAT 4661 [0.5 credit] Life Contingent Risk Modelling II Policy values; multiple state models; formulae for probability; Markov multiple state models; pension mathematics; yield curves; interest rate risk; emerging costs for life insurance; equity linked insurance; deterministic and stochastic pricing; reserving, participating, and universal life insurance. Precludes additional credit for Precludes additional credit for STAT 3662 (no longer offered). Prerequisite(s): STAT 3661 with a grade of C+ or higher; or permission of the School. Lectures three hours a week, tutorial one hour a week. STAT 4905 [0.5 credit] Honours Project (Honours) Consists of a written report on some approved topic or topics in the field of statistics, together with a short lecture on the report. Prerequisite(s): B.Math.(Honours) or B.Data Science (Honours) students only. STAT 4907 [0.5 credit] Directed Studies (Honours) Prerequisite(s): B.Math.(Honours) students only. Note: Not all courses listed are offered in a given year. For an up-to-date statement of course offerings for the current session and to determine the term of offering, consult the class schedule at central.carleton.ca . Summer session: some of the courses listed in this Calendar are offered during the summer. Hours and scheduling for summer session courses will differ significantly from those reported in the fall/winter Calendar. To determine the scheduling and hours for summer session classes, consult the class schedule at central.carleton.ca Regulations In addition to the program requirements described here, students must satisfy the University regulations common to all undergraduate students, including the process of Academic Continuation Evaluation (see the Academic Regulations of the University section of this Calendar). Students should consult with the School of Mathematics and Statistics when planning their program and selecting courses. B.Sc. Regulations The regulations presented in this section apply to all Bachelor of Science programs. In addition to the requirements presented here, students must satisfy the University regulations common to all undergraduate students including the process of Academic Continuation Evaluation (see the Academic Regulations of the University section of this Calendar). Breadth Requirement for the B.Sc. Students in a Bachelor of Science program must present the following credits at graduation: 2.0 credits in Science Continuation courses not in the major discipline; students completing a double major are considered to have completed this requirement providing they have 2.0 credits in Science Continuation courses in each of the two majors; 2.0 credits in courses outside of the faculties of Science and Engineering and Design (may include ISAP 1000) In most cases, the requirements for individual B.Sc. programs, as stated in this Calendar, contain these requirements, explicitly or implicitly. Students admitted to B.Sc. programs by transfer from another institution must present at graduation (whether taken at Carleton or elsewhere): 2.0 credits in courses outside of the faculties of Science and Engineering and Design (may include ISAP 1000) if the student received fewer than 10.0 transfer credits; or, 1.0 credit in courses outside of the faculties of Science and Engineering and Design (may include ISAP 1000) if the student received 10.0 or more transfer credits. Declared and Undeclared Students Degree students are considered "Undeclared" if they have been admitted to a degree, but have not yet selected and been accepted into a program within that degree. The status "Undeclared" is available only in the B.A. and B.Sc. degrees. Undeclared students must apply to enter a program upon or before completing 3.5 credits. Change of Program within the B.Sc. Degree To transfer to a program within the B.Sc. degree, applicants must normally be Eligible to Continue (EC) in the new program, by meeting the CGPA thresholds described in Section 3.1.9 of the Academic Regulations of the University. Applications to declare or change programs within the B.Sc. degree must be made online through Carleton Central by completing a Change of Program Elements (COPE) application form within the published deadlines. Acceptance into a program, or into a program element or option, is subject to any enrolment limitations, and/or specific program, program element or option requirements as published in the relevant Calendar entry. Minors, Concentrations, and Specializations Students may add a Minor, Concentration, or Specialization by completing a Change of Program Elements (COPE) application form online through Carleton Central. Acceptance into a Minor, Concentration, or Specialization normally requires that the student be Eligible to Continue (EC) and is meeting the minimum CGPAs described in Section 3.1.9 of the Academic Regulations of the University , as well as being subject to any specific requirements of the intended Minor, Concentration, or Specialization as published in the relevant Calendar entry. Experimental Science Requirement Students in a B.Sc. degree program must present at graduation at least two full credits of Experimental Science chosen from two different departments or institutes from the list below: Approved Experimental Science Courses Biochemistry BIOC 2200 [0.5] Cellular Biochemistry BIOC 3103 [0.5] Experimental Biochemistry I: Principles and Practices BIOC 3104 [0.5] Experimental Biochemistry II: Research Experience BIOC 4001 [0.5] Methods in Biochemistry BIOC 4201 [0.5] Advanced Cell Culture and Tissue Engineering Biology BIOL 1103 [0.5] Foundations of Biology I BIOL 1104 [0.5] Foundations of Biology II BIOL 2001 [0.5] Animals: Form and Function BIOL 2002 [0.5] Plants: Form and Function BIOL 2104 [0.5] Introductory Genetics BIOL 2200 [0.5] Cellular Biochemistry BIOL 2600 [0.5] Ecology Chemistry CHEM 1001 [0.5] General Chemistry I CHEM 1002 [0.5] General Chemistry II CHEM 2103 [0.5] Physical Chemistry I CHEM 2203 [0.5] Organic Chemistry I CHEM 2204 [0.5] Organic Chemistry II CHEM 2302 [0.5] Analytical Chemistry I CHEM 2303 [0.5] Analytical Chemistry II CHEM 2800 [0.5] Foundations for Environmental Chemistry Earth Sciences ERTH 1002 [0.5] The Earth and Life Odyssey: A Journey Through Billions of Years ERTH 2102 [0.5] Mineralogy to Petrology ERTH 2404 [0.5] Engineering Geoscience ERTH 2802 [0.5] Field Geology I ERTH 3111 [0.5] Vertebrate Evolution: Mammals, Reptiles, and Birds ERTH 3112 [0.5] Vertebrate Evolution: Fish and Amphibians ERTH 3204 [0.5] Mineral Deposits ERTH 3205 [0.5] Physical Hydrogeology Food Sciences FOOD 3001 [0.5] Food Chemistry FOOD 3002 [0.5] Food Analysis FOOD 3005 [0.5] Food Microbiology Geography GEOG 1010 [0.5] Global Environmental Systems GEOG 3108 [0.5] Soil Properties Neuroscience NEUR 3206 [0.5] Sensory and Motor Neuroscience NEUR 3207 [0.5] Systems Neuroscience NEUR 4600 [0.5] Advanced Lab in Neuroanatomy Physics PHYS 1001 [0.5] Foundations of Physics I PHYS 1002 [0.5] Foundations of Physics II PHYS 1003 [0.5] Introductory Mechanics and Thermodynamics PHYS 1004 [0.5] Introductory Electromagnetism and Wave Motion PHYS 1007 [0.5] Elementary University Physics I PHYS 1008 [0.5] Elementary University Physics II PHYS 2007 [0.5] Second Year Physics Laboratory: Selected Experiments and Seminars PHYS 3007 [0.5] Third Year Physics Laboratory: Selected Experiments and Seminars PHYS 3606 [0.5] Modern Physics II PHYS 3608 [0.5] Modern Applied Physics Course Categories for B.Sc. 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Nanoscience

2026-27

  • Program Requirements Nanoscience B.Sc. Honours (20.0 credits)
  • B.Sc. Regulations The regulations presented in this section apply to all Bachelor of Science programs. In addition to the requirements presented here, students must satisfy the University regulations common to all undergraduate students including the process of Academic Continuation Evaluation (see the Academic Regulations of the University section of this Calendar). Breadth Requirement for the B.Sc. Students in a Bachelor of Science program must present the following credits at graduation: 2.0 credits in Science Continuation courses not in the major discipline; students completing a double major are considered to have completed this requirement providing they have 2.0 credits in Science Continuation courses in each of the two majors; 2.0 credits in courses outside of the faculties of Science and Engineering and Design (may include ISAP 1000) In most cases, the requirements for individual B.Sc. programs, as stated in this Calendar, contain these requirements, explicitly or implicitly. Students admitted to B.Sc. programs by transfer from another institution must present at graduation (whether taken at Carleton or elsewhere): 2.0 credits in courses outside of the faculties of Science and Engineering and Design (may include ISAP 1000) if the student received fewer than 10.0 transfer credits; or, 1.0 credit in courses outside of the faculties of Science and Engineering and Design (may include ISAP 1000) if the student received 10.0 or more transfer credits. Declared and Undeclared Students Degree students are considered "Undeclared" if they have been admitted to a degree, but have not yet selected and been accepted into a program within that degree. The status "Undeclared" is available only in the B.A. and B.Sc. degrees. Undeclared students must apply to enter a program upon or before completing 3.5 credits. Change of Program within the B.Sc. Degree To transfer to a program within the B.Sc. degree, applicants must normally be Eligible to Continue (EC) in the new program, by meeting the CGPA thresholds described in Section 3.1.9 of the Academic Regulations of the University. Applications to declare or change programs within the B.Sc. degree must be made online through Carleton Central by completing a Change of Program Elements (COPE) application form within the published deadlines. Acceptance into a program, or into a program element or option, is subject to any enrolment limitations, and/or specific program, program element or option requirements as published in the relevant Calendar entry. Minors, Concentrations, and Specializations Students may add a Minor, Concentration, or Specialization by completing a Change of Program Elements (COPE) application form online through Carleton Central. Acceptance into a Minor, Concentration, or Specialization normally requires that the student be Eligible to Continue (EC) and is meeting the minimum CGPAs described in Section 3.1.9 of the Academic Regulations of the University , as well as being subject to any specific requirements of the intended Minor, Concentration, or Specialization as published in the relevant Calendar entry. Experimental Science Requirement Students in a B.Sc. degree program must present at graduation at least two full credits of Experimental Science chosen from two different departments or institutes from the list below: Approved Experimental Science Courses Biochemistry BIOC 2200 [0.5] Cellular Biochemistry BIOC 3103 [0.5] Experimental Biochemistry I: Principles and Practices BIOC 3104 [0.5] Experimental Biochemistry II: Research Experience BIOC 4001 [0.5] Methods in Biochemistry BIOC 4201 [0.5] Advanced Cell Culture and Tissue Engineering Biology BIOL 1103 [0.5] Foundations of Biology I BIOL 1104 [0.5] Foundations of Biology II BIOL 2001 [0.5] Animals: Form and Function BIOL 2002 [0.5] Plants: Form and Function BIOL 2104 [0.5] Introductory Genetics BIOL 2200 [0.5] Cellular Biochemistry BIOL 2600 [0.5] Ecology Chemistry CHEM 1001 [0.5] General Chemistry I CHEM 1002 [0.5] General Chemistry II CHEM 2103 [0.5] Physical Chemistry I CHEM 2203 [0.5] Organic Chemistry I CHEM 2204 [0.5] Organic Chemistry II CHEM 2302 [0.5] Analytical Chemistry I CHEM 2303 [0.5] Analytical Chemistry II CHEM 2800 [0.5] Foundations for Environmental Chemistry Earth Sciences ERTH 1002 [0.5] The Earth and Life Odyssey: A Journey Through Billions of Years ERTH 2102 [0.5] Mineralogy to Petrology ERTH 2404 [0.5] Engineering Geoscience ERTH 2802 [0.5] Field Geology I ERTH 3111 [0.5] Vertebrate Evolution: Mammals, Reptiles, and Birds ERTH 3112 [0.5] Vertebrate Evolution: Fish and Amphibians ERTH 3204 [0.5] Mineral Deposits ERTH 3205 [0.5] Physical Hydrogeology Food Sciences FOOD 3001 [0.5] Food Chemistry FOOD 3002 [0.5] Food Analysis FOOD 3005 [0.5] Food Microbiology Geography GEOG 1010 [0.5] Global Environmental Systems GEOG 3108 [0.5] Soil Properties Neuroscience NEUR 3206 [0.5] Sensory and Motor Neuroscience NEUR 3207 [0.5] Systems Neuroscience NEUR 4600 [0.5] Advanced Lab in Neuroanatomy Physics PHYS 1001 [0.5] Foundations of Physics I PHYS 1002 [0.5] Foundations of Physics II PHYS 1003 [0.5] Introductory Mechanics and Thermodynamics PHYS 1004 [0.5] Introductory Electromagnetism and Wave Motion PHYS 1007 [0.5] Elementary University Physics I PHYS 1008 [0.5] Elementary University Physics II PHYS 2007 [0.5] Second Year Physics Laboratory: Selected Experiments and Seminars PHYS 3007 [0.5] Third Year Physics Laboratory: Selected Experiments and Seminars PHYS 3606 [0.5] Modern Physics II PHYS 3608 [0.5] Modern Applied Physics Course Categories for B.Sc. 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Physics

2026-27

  • Program Requirements Course Categories for Physics The program descriptions below make use of the following course categories, which are defined in the B.Sc. Regulations section. Approved Courses Outside the Faculties of Science and Engineering and Design Free Elective Physics (Astrophysics Stream) B.Sc. Honours (20.0 credits) A. Credits Included in the Major CGPA (11.0 credits) 1. 1.0 credit from: 1.0 PHYS 1001 [0.5] & PHYS 1002 [0.5] Foundations of Physics I Foundations of Physics II PHYS 1003 [0.5] & PHYS 1004 [0.5] Introductory Mechanics and Thermodynamics Introductory Electromagnetism and Wave Motion PHYS 1007 [0.5] & PHYS 1008 [0.5] Elementary University Physics I Elementary University Physics II (with an average grade of B- or higher) 2. 3.0 credits in: 3.0 PHYS 2007 [0.5] Second Year Physics Laboratory: Selected Experiments and Seminars PHYS 2203 [0.5] Astronomy PHYS 2212 [0.5] Wave Mechanics and Thermodynamics PHYS 2305 [0.5] Electricity and Magnetism PHYS 2605 [0.5] Modern Physics I PHYS 2801 [0.5] Computational Methods in Physics 3. 5.0 credits in: 5.0 PHYS 3009 [0.5] Third Year Physics Laboratory: Selected Experiments and Seminars with Observational Astronomy PHYS 3308 [0.5] Electromagnetism PHYS 3606 [0.5] Modern Physics II PHYS 3701 [0.5] Elements of Quantum Mechanics PHYS 3802 [0.5] Advanced Dynamics PHYS 3807 [0.5] Mathematical Physics I PHYS 4201 [0.5] Astrophysics PHYS 4202 [0.5] Cosmology PHYS 4409 [0.5] Thermodynamics and Statistical Physics PHYS 4707 [0.5] Introduction to Quantum Mechanics I 4. 1.0 credit from: 1.0 a. PHYS 4907 plus 0.5 credit 4000-level PHYS b. PHYS 4908 plus 0.5 credit 4000-level PHYS c. PHYS 4909 [1.0] 5. 0.5 credit in PHYS at the 4000-level or above 0.5 6. 0.5 credit in PHYS, COMP, MATH and/or STAT at the 3000-level or above 0.5 B. Credits Not Included In the Major CGPA (9.0 credits) 7. 1.0 credit from: 1.0 BIOL 1103 [0.5] & BIOL 1104 [0.5] Foundations of Biology I Foundations of Biology II CHEM 1001 [0.5] & CHEM 1002 [0.5] General Chemistry I General Chemistry II ERTH 1002 [0.5] & ERTH 2312 [0.5] The Earth and Life Odyssey: A Journey Through Billions of Years Paleontology 8. 3.5 credits in: 3.5 MATH 1004 [0.5] Calculus for Engineering or Physics MATH 1005 [0.5] Differential Equations and Infinite Series for Engineering or Physics MATH 1104 [0.5] Linear Algebra for Engineering or Science MATH 2004 [0.5] Multivariable Calculus for Engineering or Physics MATH 2107 [0.5] Linear Algebra II MATH 3705 [0.5] Mathematical Methods I STAT 3502 [0.5] Probability and Statistics 9. 0.5 credit in: 0.5 MATH 3800 [0.5] Mathematical Modeling and Computational Methods 10. 1.0 credit in: 1.0 COMP 1005 [0.5] Introduction to Computer Science I COMP 1006 [0.5] Introduction to Computer Science II 11. 0.5 credit in: 0.5 ISAP 1000 [0.5] Seminar in Science Approved courses outside the faculties of Science and Engineering and Design 12. 1.5 credits in approved courses outside the faculties of Science and Engineering and Design 1.5 13. 1.0 credit in free electives 1.0 Total Credits 20.0 Physics (Experimental Physics Stream) B.Sc. Honours (20.0 credits) A. Credits Included in the Major CGPA (11.5 credits) 1. 1.0 credit from: 1.0 PHYS 1001 [0.5] & PHYS 1002 [0.5] Foundations of Physics I Foundations of Physics II (recommended) PHYS 1003 [0.5] & PHYS 1004 [0.5] Introductory Mechanics and Thermodynamics Introductory Electromagnetism and Wave Motion PHYS 1007 [0.5] & PHYS 1008 [0.5] Elementary University Physics I Elementary University Physics II (with an average grade of B- or higher) 2. 2.5 credits in: 2.5 PHYS 2007 [0.5] Second Year Physics Laboratory: Selected Experiments and Seminars PHYS 2212 [0.5] Wave Mechanics and Thermodynamics PHYS 2305 [0.5] Electricity and Magnetism PHYS 2605 [0.5] Modern Physics I PHYS 2801 [0.5] Computational Methods in Physics 3. 1.0 credit in: 1.0 ELEC 2501 [0.5] Circuits and Signals ELEC 2507 [0.5] Electronics I 4. 4.5 credits in: 4.5 PHYS 3007 [0.5] Third Year Physics Laboratory: Selected Experiments and Seminars PHYS 3308 [0.5] Electromagnetism PHYS 3606 [0.5] Modern Physics II PHYS 3701 [0.5] Elements of Quantum Mechanics PHYS 3802 [0.5] Advanced Dynamics PHYS 3807 [0.5] Mathematical Physics I PHYS 4008 [0.5] Fourth-Year Physics Laboratory: Selected Experiments and Workshop PHYS 4409 [0.5] Thermodynamics and Statistical Physics PHYS 4707 [0.5] Introduction to Quantum Mechanics I 5. 1.0 credit from: 1.0 a. PHYS 4907 [0.5] plus 0.5 credit 4000-level PHYS b. PHYS 4908 [0.5] plus 0.5 credit 4000-level PHYS c. PHYS 4909 [1.0] 6. 1.0 credit in 4000-level or above PHYS ( PHYS 4807 is recommended for 0.5 credit) 1.0 7. 0.5 credit in 3000-level or above PHYS, COMP, ELEC, MATH and/or STAT 0.5 B. Credits Not Included In the Major CGPA (8.5 credits) 8. 1.0 credit from: 1.0 BIOL 1103 [0.5] & BIOL 1104 [0.5] Foundations of Biology I Foundations of Biology II CHEM 1001 [0.5] & CHEM 1002 [0.5] General Chemistry I General Chemistry II ERTH 1002 [0.5] & ERTH 2312 [0.5] The Earth and Life Odyssey: A Journey Through Billions of Years Paleontology 9. 3.0 credits in: 3.0 MATH 1004 [0.5] Calculus for Engineering or Physics MATH 1005 [0.5] Differential Equations and Infinite Series for Engineering or Physics MATH 1104 [0.5] Linear Algebra for Engineering or Science MATH 2004 [0.5] Multivariable Calculus for Engineering or Physics MATH 3705 [0.5] Mathematical Methods I STAT 3502 [0.5] Probability and Statistics 10. 0.5 credit in: 0.5 MATH 3800 [0.5] Mathematical Modeling and Computational Methods 11. 1.0 credit in: 1.0 COMP 1005 [0.5] Introduction to Computer Science I COMP 1006 [0.5] Introduction to Computer Science II 12. 0.5 credit from: 0.5 ISAP 1000 [0.5] Seminar in Science Approved courses outside the faculties of Science and Engineering and Design 13. 1.5 credits in approved courses outside the faculties of Science and Engineering and Design 1.5 14. 1.0 credit in free electives 1.0 Total Credits 20.0 Physics (Theory Stream) B.Sc. Honours (20.0 credits) A. Credits Included in the Major CGPA (11.0 credits) 1. 1.0 credit from: 1.0 PHYS 1001 [0.5] & PHYS 1002 [0.5] Foundations of Physics I Foundations of Physics II (recommended) PHYS 1003 [0.5] & PHYS 1004 [0.5] Introductory Mechanics and Thermodynamics Introductory Electromagnetism and Wave Motion PHYS 1007 [0.5] & PHYS 1008 [0.5] Elementary University Physics I Elementary University Physics II (with an average grade of B- or higher) 2. 2.5 credits in: 2.5 PHYS 2007 [0.5] Second Year Physics Laboratory: Selected Experiments and Seminars PHYS 2212 [0.5] Wave Mechanics and Thermodynamics PHYS 2305 [0.5] Electricity and Magnetism PHYS 2605 [0.5] Modern Physics I PHYS 2801 [0.5] Computational Methods in Physics 3. 4.5 credits in: 4.5 PHYS 3007 [0.5] Third Year Physics Laboratory: Selected Experiments and Seminars PHYS 3308 [0.5] Electromagnetism PHYS 3606 [0.5] Modern Physics II PHYS 3701 [0.5] Elements of Quantum Mechanics PHYS 3802 [0.5] Advanced Dynamics PHYS 3807 [0.5] Mathematical Physics I PHYS 4409 [0.5] Thermodynamics and Statistical Physics PHYS 4707 [0.5] Introduction to Quantum Mechanics I PHYS 4708 [0.5] Introduction to Quantum Mechanics II 4. 1.0 credit from: 1.0 a. PHYS 4907 plus 0.5 credit 4000-level PHYS b. PHYS 4908 plus 0.5 credit 4000-level PHYS c. PHYS 4909 [1.0] 5. 1.0 credit in PHYS at the 4000-level or above 1.0 6. 1.0 credit in PHYS, COMP, MATH and/or STAT at the 3000-level or above 1.0 B. Credits Not Included In the Major CGPA (9.0 credits) 7. 1.0 credit from: 1.0 BIOL 1103 [0.5] & BIOL 1104 [0.5] Foundations of Biology I Foundations of Biology II CHEM 1001 [0.5] & CHEM 1002 [0.5] General Chemistry I General Chemistry II ERTH 1002 [0.5] & ERTH 2312 [0.5] The Earth and Life Odyssey: A Journey Through Billions of Years Paleontology 8. 3.5 credits in: 3.5 MATH 1004 [0.5] Calculus for Engineering or Physics MATH 1005 [0.5] Differential Equations and Infinite Series for Engineering or Physics MATH 1104 [0.5] Linear Algebra for Engineering or Science MATH 2004 [0.5] Multivariable Calculus for Engineering or Physics MATH 2107 [0.5] Linear Algebra II MATH 3705 [0.5] Mathematical Methods I STAT 3502 [0.5] Probability and Statistics 9. 0.5 credit in: 0.5 MATH 3800 [0.5] Mathematical Modeling and Computational Methods 10. 1.0 credit in: 1.0 COMP 1005 [0.5] Introduction to Computer Science I COMP 1006 [0.5] Introduction to Computer Science II 11. 0.5 credit in: 0.5 ISAP 1000 [0.5] Seminar in Science or approved courses outside the faculties of Science and Engineering and Design 12. 1.5 credits in approved courses outside the faculties of Science and Engineering and Design 1.5 13. 1.0 credit in free electives 1.0 Total Credits 20.0 Physics B.Sc. Major (20.0 credits) A. Credits Included in the Major CGPA (9.0 credits) 1. 1.0 credit from: 1.0 PHYS 1001 [0.5] & PHYS 1002 [0.5] Foundations of Physics I Foundations of Physics II (recommended) PHYS 1003 [0.5] & PHYS 1004 [0.5] Introductory Mechanics and Thermodynamics Introductory Electromagnetism and Wave Motion PHYS 1007 [0.5] & PHYS 1008 [0.5] Elementary University Physics I Elementary University Physics II (with an average grade of B- or higher) 2. 2.5 credits in: 2.5 PHYS 2007 [0.5] Second Year Physics Laboratory: Selected Experiments and Seminars PHYS 2212 [0.5] Wave Mechanics and Thermodynamics PHYS 2305 [0.5] Electricity and Magnetism PHYS 2605 [0.5] Modern Physics I PHYS 2801 [0.5] Computational Methods in Physics 3. 0.5 credit in approved computer science, engineering, mathematics or statistics electives at the 2000-level or higher which may include 1000-level computer science 0.5 4. 2.0 credits in: 2.0 PHYS 3007 [0.5] Third Year Physics Laboratory: Selected Experiments and Seminars PHYS 3308 [0.5] Electromagnetism PHYS 3606 [0.5] Modern Physics II or PHYS 3608 [0.5] Modern Applied Physics PHYS 3701 [0.5] Elements of Quantum Mechanics 5. 1.0 credit in PHYS at the 4000-level 1.0 6. 1.5 credit in PHYS at the 3000-level or above 1.5 7. 0.5 credit in ELEC and/or science faculty electives (excluding TSES) at the 3000-level or above 0.5 B. Credits Not Included In the Major CGPA (11.0 credits) 8. 1.0 credit from: 1.0 BIOL 1103 [0.5] & BIOL 1104 [0.5] Foundations of Biology I Foundations of Biology II CHEM 1001 [0.5] & CHEM 1002 [0.5] General Chemistry I General Chemistry II ERTH 1002 [0.5] & ERTH 2312 [0.5] The Earth and Life Odyssey: A Journey Through Billions of Years Paleontology 9. 3.0 credits in: 3.0 MATH 1004 [0.5] Calculus for Engineering or Physics MATH 1005 [0.5] Differential Equations and Infinite Series for Engineering or Physics MATH 1104 [0.5] Linear Algebra for Engineering or Science MATH 2004 [0.5] Multivariable Calculus for Engineering or Physics MATH 3705 [0.5] Mathematical Methods I STAT 2507 [0.5] Introduction to Statistical Modeling I or STAT 3502 [0.5] Probability and Statistics 10. 0.5 credit in: 0.5 COMP 1005 [0.5] Introduction to Computer Science I 11. 3.5 credits in Advanced Science Faculty Electives and/or approved courses outside the Faculties of Science and Engineering selected in consultation with the Department to complement the study of physics; these credits may be used with an additional 0.5 credit to complete the requirements of a minor designation 3.5 12. 0.5 credit from: 0.5 ISAP 1000 [0.5] Seminar in Science Approved courses outside the faculties of Science and Engineering and Design 13. 1.5 credits in approved courses outside the faculties of Science and Engineering and Design 1.5 14. 1.0 credit in free electives 1.0 Total Credits 20.0 Physics B.Sc. (15.0 credits)
  • Applied Physics B.Sc. Honours (20.0 credits)
  • Mathematics and Physics B.Sc. Double Honours (21.5 credits)
  • Biology and Physics B.Sc. Combined Honours (20.0 credits)
  • Chemistry and Physics B.Sc. Combined Honours (20.0 credits)
  • Physics (PHYS) Courses PHYS 1001 [0.5 credit] Foundations of Physics I This calculus-based course on classical mechanics covers kinematics, dynamics, gravitation, and oscillatory motion. This is a specialist course for students intending to take further courses in physics. Precludes additional credit for Precludes additional credit for BIT 1002 , BIT 1203 , PHYS 1003 , PHYS 1007 , PHYS 1107 . Prerequisite(s): Grade 12 Mathematics: Advanced Functions and Grade 12 Mathematics: Calculus and Vectors or equivalent, plus one of MATH 1004 or MATH 1052 (the MATH course may be taken concurrently); or permission of the Physics Department. Grade 12 Physics is strongly recommended. Lectures three hours a week, laboratory or tutorial three hours a week. PHYS 1002 [0.5 credit] Foundations of Physics II An introduction to electricity, magnetism, electromagnetic fields, and wave motion. This is a specialist course for students intending to take further courses in physics. Precludes additional credit for Precludes additional credit for BIT 1003 (no longer offered), BIT 1007 , BIT 1204 , PHYS 1004 , PHYS 1008 , PHYS 1108 . Prerequisite(s): PHYS 1001 , or PHYS 1003 , or PHYS 1007 with a grade of B- ; MATH 1004 or MATH 2052 (may be taken concurrently); or permission of the Department. Lectures three hours a week, laboratory or tutorial three hours a week. PHYS 1003 [0.5 credit] Introductory Mechanics and Thermodynamics Mechanics, gravitation, oscillations, and thermodynamics. The application of calculus to solve problems in these areas of physics is introduced. This course is intended for students in the physical sciences and engineering. Precludes additional credit for Precludes additional credit for BIT 1002 , BIT 1203 , PHYS 1001 , PHYS 1007 , PHYS 1107 . Prerequisite(s): Grade 12 Physics or equivalent, plus Grade 12 Mathematics: Advanced Functions or equivalent, plus one of MATH 1004 or MATH 1052 (the MATH course may be taken concurrently). Note that Grade 12 Mathematics: Calculus and Vectors is strongly recommended. Lectures three hours a week, laboratory or tutorial three hours a week. PHYS 1004 [0.5 credit] Introductory Electromagnetism and Wave Motion This calculus-based course introduces potential energy, work, electricity, magnetism, oscillations and waves. Precludes additional credit for Precludes additional credit for BIT 1003 (no longer offered), BIT 1007 , BIT 1204 , PHYS 1002 , PHYS 1008 , PHYS 1108 . Prerequisite(s): MATH 1004 , ( ECOR 1033 and ECOR 1034 )(the ECOR courses may be taken concurrently) or PHYS 1001 or PHYS 1003 or PHYS 1007 (a grade of at least B- is required for PHYS 1007 ), or permission of the Department. Lectures three hours a week, laboratory or tutorial three hours a week. PHYS 1007 [0.5 credit] Elementary University Physics I Mechanics, properties of matter, thermodynamics. Applications chosen in part from the life sciences. For students who lack the prerequisites for PHYS 1001 or PHYS 1003 , or who do not intend to take upper-year courses in physics. Precludes additional credit for Precludes additional credit for BIT 1002 , BIT 1203 , PHYS 1001 , PHYS 1003 , PHYS 1107 . Prerequisite(s): (i) Grade 12 Mathematics: Advanced Functions or equivalent, or MATH 0107 (may be taken concurrently); or (ii) Grade 12 Mathematics: Calculus and Vectors or equivalent, or MATH 1007 (may be taken concurrently; or (iii) permission of the Physics Department. Lectures three hours a week, laboratory or tutorial three hours per week. PHYS 1008 [0.5 credit] Elementary University Physics II Electricity and magnetism, DC and AC circuits, wave motion and light. Elements of modern physics. Applications chosen in part from the life sciences. Precludes additional credit for Precludes additional credit for BIT 1003 (no longer offered), BIT 1007 , BIT 1204 , PHYS 1002 , PHYS 1004 , PHYS 1108 . Prerequisite(s): PHYS 1001 or PHYS 1003 or PHYS 1007 . Lectures three hours a week, laboratory or tutorial three hours per week. PHYS 1107 [0.5 credit] Introductory University Physics I Mechanics, properties of matter, thermodynamics. Applications chosen in part from the life sciences. For students who lack the prerequisites for PHYS 1001 or PHYS 1003 , or who do not intend to take upper-year courses in physics. Precludes additional credit for Precludes additional credit for BIT 1002 , BIT 1203 , PHYS 1001 , PHYS 1003 , PHYS 1007 . Prerequisite(s): (i) Grade 12 Mathematics: Advanced Functions or equivalent, or MATH 0107 (may be taken concurrently); or (ii) Grade 12 Mathematics: Calculus and Vectors or equivalent, or MATH 1007 (may be taken concurrently; or (iii) permission of the Physics Department. Lectures three hours a week. PHYS 1108 [0.5 credit] Introductory University Physics II Electricity and magnetism, DC and AC circuits, wave motion and light. Elements of modern physics. Applications chosen in part from the life sciences. Precludes additional credit for Precludes additional credit for BIT 1003 (no longer offered), BIT 1007 , BIT 1204 , PHYS 1002 , PHYS 1004 , PHYS 1008 . Prerequisite(s): PHYS 1001 or PHYS 1003 or PHYS 1007 or PHYS 1107 . Lectures three hours a week. PHYS 1901 [0.5 credit] Planetary Astronomy Description of the known stellar, galactic and extra-galactic systems together with the instruments used to study them. Modern ideas concerning the structure, origin and evolution of our own planet. Formation of the Moon - Earth system. Study of the planets in our solar system. Precludes additional credit for Precludes additional credit for PHYS 2203 . Lectures two and one-half hours a week. PHYS 1902 [0.5 credit] From our Star to the Cosmos Starting with the Sun, the course studies its composition and source of power, then compares our Sun with the other stars in the galaxy and beyond. Modern ideas concerning the structure, origin and evolution of the universe, pulsars and supernovae are examined. Precludes additional credit for Precludes additional credit for PHYS 2203 . Lectures two and one-half hours a week. PHYS 1905 [0.5 credit] Physics Behind Everyday Life Examination of the physics behind everyday life. Topics may include transportation, sports, weather and climate, electricity, and sustainable energy. No science background is required. Online Course. PHYS 2004 [0.5 credit] Modern Physics for Engineers Introduction to aspects of modern physics relevant to engineering. Thermal radiation. Concepts of relativistic kinematics. Wave-particle duality. Photoelectric effect, Compton scattering. Bohr theory of the hydrogen atom. Optical and x-ray spectra, lasers. Nuclear physics and applications. Precludes additional credit for Precludes additional credit for PHYS 2604 and PHYS 2605 . Prerequisite(s): PHYS 1002 or PHYS 1004 or PHYS 1008 with a grade of B- or better, plus MATH 1004 and MATH 1104 or equivalent. Restricted to B.Eng. students not in the Engineering Physics program. Students in programs other than B.Eng. must obtain permission of the Department. Lectures three hours a week. PHYS 2007 [0.5 credit] Second Year Physics Laboratory: Selected Experiments and Seminars Students complete a number of experiments selected from classical physics and geometric optics, modern physics, etc. Seminars on relevant experimental topics will be included. Includes: Experiential Learning Activity. Precludes additional credit for Precludes additional credit for PHYS 2202 . Prerequisite(s): PHYS 1002 , or PHYS 1004 ( PHYS 1008 is also acceptable provided a minimum average grade of B- is presented). Laboratory, six hours a week. PHYS 2101 [0.5 credit] Mechanics and Properties of Matter Equations of motion for a single particle. Harmonic oscillation. Noninertial reference frames. Orbits in a central force field. Motion of systems of particles and of rigid bodies. Introduction to special relativity. Laboratory experiments in classical mechanics and properties of matter. Prerequisite(s): PHYS 1001 and PHYS 1002 , or PHYS 1003 and PHYS 1004 , alternatively PHYS 1007 and PHYS 1008 with an overall average of B- or better or MATH 1004 and MATH 1104 . Lectures three hours a week, laboratory three hours a week, tutorials (optional) once a week. PHYS 2202 [0.5 credit] Wave Motion and Optics Geometrical optics. Types of waves, vibrating string and the classical wave equation. General solutions for traveling waves. Superposition and interference, coherence, wave packets, waves in 2 and 3 dimensions. Propagation of electromagnetic waves. Light and physical optics, oscillator model for dispersion, diffraction, polarization, and refraction. Precludes additional credit for Precludes additional credit for PHYS 2212 . Prerequisite(s): PHYS 1001 and PHYS 1002 , or PHYS 1003 and PHYS 1004 ( PHYS 1007 and PHYS 1008 are also acceptable provided a minimum average grade of B- is presented); plus MATH 1104 or MATH 2152 , and MATH 2004 or MATH 2001 and MATH 2002 ( MATH 2002 may be taken concurrently). Lectures three hours a week, laboratory three hours a week. PHYS 2203 [0.5 credit] Astronomy The observational basis of astronomy. The history of astronomy, properties of light, solar system observations and stellar astronomy. Precludes additional credit for Precludes additional credit for PHYS 1901 and PHYS 1902 . Prerequisite(s): PHYS 1002 or PHYS 1004 or permission of the department. PHYS 1008 with a grade of B- or better may also be used if MATH 1004 or MATH 1007 or MATH 2052 have been successfully completed. Lectures three hours a week. PHYS 2212 [0.5 credit] Wave Mechanics and Thermodynamics Types of waves and the classical wave equation, wave functions in 2 and 3 dimensions, reflection and refraction, superposition of waves, polarization, interference, diffraction, coherence, wave packets. Temperature and thermodynamic equilibrium, heat, work and first law of thermodynamics, entropy and second law of thermodynamics. Precludes additional credit for Precludes additional credit for PHYS 2202 . Prerequisite(s): PHYS 1001 and PHYS 1002 , or PHYS 1003 and PHYS 1004 ( PHYS 1007 and PHYS 1008 are also acceptable provided a minimum average grade of B- is presented); plus MATH 1004 and MATH 1104 or MATH 2152 , and MATH 2004 or MATH 2001 ( MATH 2001 or MATH 2004 may be taken concurrently). Lectures three hours a week PHYS 2305 [0.5 credit] Electricity and Magnetism Electrostatic field and potential, Gauss’ law. Properties of conductors. Magnetic effects from currents. Motion of charges in electric and magnetic fields. Energy in electric and magnetic fields. Electromagnetic induction. Maxwell’s equations in vacuum using vector differential and integral calculus. Prerequisite(s): PHYS 1001 , PHYS 1002 , or PHYS 1003 and PHYS 1004 , alternatively PHYS 1007 and PHYS 1008 with an overall grade of B- or higher; MATH 2004 , or MATH 2001 and MATH 2002 ( MATH 2002 may be taken concurrently). Lectures three hours a week. PHYS 2306 [0.5 credit] Physics of Electrical and Electronic Measurements I D.C. and A.C. circuit theory. Resonant circuits. Basic measuring devices, the oscilloscope; impedances, bandwidth, noise; vacuum tubes, transistors, useful approximations for circuit design; feedback, amplifiers, oscillators; operational circuits; digital circuits. Lectures emphasize the physical basis of instrument design. Laboratory emphasizes modern digital instrumentation. Prerequisite(s): PHYS 1001 , PHYS 1002 or PHYS 1003 and PHYS 1004 , alternatively PHYS 1007 and PHYS 1008 with an overall grade of B- or better. Lectures three hours a week, laboratory three hours a week. PHYS 2401 [0.5 credit] Thermal Physics Introduction to thermodynamics and statistical mechanics. Temperature and thermodynamic equilibrium. Work, internal energy and heat; first law. Kinetic theory of gases. Basic probability theory. Microscopic states and entropy. Absolute temperature, reversibility and the second law of thermodynamics. Thermodynamic processes and applications. Prerequisite(s): PHYS 1001 and PHYS 1002 , or PHYS 1003 and PHYS 1004 , ( PHYS 1007 and PHYS 1008 are also acceptable provided a minimum average grade of B- ) ; plus MATH 1004 and MATH 1104 or MATH 2052 and MATH 2152 . Lectures three hours a week. PHYS 2604 [0.5 credit] Modern Physics I The course is designed to provide a logical transition from classical to modern physics. Special relativity. Rutherford scattering, atomic models. Thermal radiation. Photoelectric effect, Compton scattering. Bohr theory of the hydrogen atom. Atomic energy states, optical spectra, lasers. X-rays. Radioactivity. Quantum Mechanics. Precludes additional credit for Precludes additional credit for PHYS 2004 and PHYS 2605 . Prerequisite(s): PHYS 1001 and PHYS 1002 , or PHYS 1003 and PHYS 1004 ( PHYS 1007 and PHYS 1008 are also acceptable provided a minimum average grade of B- is presented); plus MATH 1004 and MATH 1104 , or MATH 2052 and MATH 2152 . Lectures three hours a week, laboratory three hours a week. PHYS 2605 [0.5 credit] Modern Physics I The course is designed to provide a logical transition from classical to modern physics. Special relativity. Rutherford scattering, atomic models. Thermal radiation. Photoelectric effect, Compton scattering. Bohr theory of the hydrogen atom. Atomic energy states, optical spectra, lasers. X-rays. Radioactivity. Precludes additional credit for Precludes additional credit for PHYS 2004 and PHYS 2604 . Prerequisite(s): PHYS 1001 and PHYS 1002 , or PHYS 1003 and PHYS 1004 ( PHYS 1007 and PHYS 1008 are also acceptable provided a minimum average grade of B- is presented); plus MATH 1004 and MATH 1104 , or MATH 2052 and MATH 2152 . Lecture 3 hours per week. PHYS 2801 [0.5 credit] Computational Methods in Physics Introduction to computational methods in physics. Software platforms and programming languages. Data formats and structures, histograms, and data visualization. Probability distributions, fitting/parameter estimation, function minimization. Interpretation and treatment of uncertainties. Introduction to machine learning and classification. Prerequisite(s): PHYS 1001 or PHYS 1003 or PHYS 1007 , and COMP 1005 . Lectures three hours a week. PHYS 2903 [0.5 credit] Physics Towards the Future From classical phenomena to aspects of modern physics and recent advances. Topics may include light and colour, music and sound, cell phones, the galaxy and beyond. No science background is required. Prerequisite(s): second-year standing. Online course. PHYS 3007 [0.5 credit] Third Year Physics Laboratory: Selected Experiments and Seminars Students complete a small number of experiments selected from modern optics, holography, atomic physics, nuclear spectroscopy, radiation, etc. An exercise on literature searches and student seminars on experimental and numerical methods are included. Precludes additional credit for Precludes additional credit for PHYS 3008 , PHYS 3009 . Prerequisite(s): PHYS 2007 or ( PHYS 2202 and PHYS 2604 ) or permission of the Department. Laboratory, six hours a week. PHYS 3008 [0.5 credit] Third Year Physics Laboratory: Selected Experiments and Workshop Students complete a small number of experiments selected from modern optics, holography, atomic physics, nuclear spectroscopy, radiation, etc. Instruction on instrumentation building techniques will be given. Precludes additional credit for Precludes additional credit for PHYS 3007 , PHYS 3009 . Prerequisite(s): PHYS 2007 or ( PHYS 2202 and PHYS 2604 ) or permission of the department. Laboratory, six hours a week. PHYS 3009 [0.5 credit] Third Year Physics Laboratory: Selected Experiments and Seminars with Observational Astronomy Students complete a small number of experiments selected from astronomy, astrophysics, modern optics, holography, atomic physics, nuclear spectroscopy, radiation, etc. At least one astronomy/astrophysics related experiment is required. An exercise on literature searches and student seminars on experimental and numerical methods are included. Precludes additional credit for Precludes additional credit for PHYS 3007 , PHYS 3008 . Prerequisite(s): PHYS 2007 or ( PHYS 2202 and PHYS 2604 ), and PHYS 2203 , or permission of the Department. Laboratory, six hours a week. PHYS 3207 [0.5 credit] Topics in Biophysics Introduction to biophysics. Random motion of molecules and diffusion; viscosity and the circulatory system; laws of thermodynamics and physical forces responsible for chemical reactions, molecular self-assembly and recognition; enzyme kinetics and molecular machines; nerve impulse and its propagation. Prerequisite(s): PHYS 2212 or PHYS 2604 , or permission of the Department. Lectures three hours a week, tutorial or seminar one hour a week. PHYS 3308 [0.5 credit] Electromagnetism Electrostatics feld and magnetostatics in the presence of matter. Solving Laplace's and Poisson's equations. Multipole expansions. Vector potential. Faraday's laws of induction; Maxwell's equations in matter. Waves in vacuum and dielectric media, guided waves. Precludes additional credit for Precludes additional credit for ELEC 3909 . Prerequisite(s): PHYS 2305 and MATH 3705 , or permission of the Department. Lectures three hours a week. PHYS 3402 [0.5 credit] Heat and Thermodynamics Zeroth, First, Second and Third Laws of Thermodynamics; enthalpy, Helmholtz and Gibbs functions and the Maxwell relations; phase transitions; thermodynamics of magnetism; cryogenics cooling by Joule-Thompson effect, adiabatic expansion of a gas, adiabatic demagnetization, helium dilution refrigeration; black body radiation; negative temperatures. Prerequisite(s): PHYS 2101 and PHYS 2305 , MATH 2007 , MATH 2008 , MATH 2107 and MATH 2401 or permission of the Department. Lectures three hours a week. PHYS 3606 [0.5 credit] Modern Physics II Elements of condensed matter physics, semiconductors, superconductivity. Elements of nuclear physics, fission, fusion, power generation. Introduction to particle physics. Ionizing radiation: production, interactions, detection. Medical physics: radiation biophysics, cancer therapy, imaging. Also listed as PHYS 3608 . Prerequisite(s): PHYS 2007 and PHYS 2605 , or PHYS 2604 , and PHYS 3701 , or permission of the Department. Lectures three hours a week, laboratory two hours a week. PHYS 3608 [0.5 credit] Modern Applied Physics Elements of condensed matter physics, semiconductors, superconductivity. Modern optics. Elements of nuclear physics, fission, fusion, power generation. Ionizing radiation: production, interactions, detection. Medical physics: radiation biophysics, cancer therapy, imaging. Also listed as PHYS 3606 . Prerequisite(s): PHYS 2007 and PHYS 2605 , or PHYS 2604 , and PHYS 3701 , or permission of the Department. Lectures three hours a week, laboratory three hours a week. PHYS 3701 [0.5 credit] Elements of Quantum Mechanics Analysis of interference experiments with waves and particles; fundamental concepts of quantum mechanics, Schrödinger equation; angular momentum, atomic beams; hydrogen atom; atomic and molecular spectroscopy; Pauli principle; simple applications in the physics of elementary particles. Precludes additional credit for Precludes additional credit for PHYS 3705 . Prerequisite(s): PHYS 2605 or PHYS 2604 , MATH 2002 or MATH 2004 and MATH 3705 (may be taken concurrently), or permission of the Department. Lectures three hours a week. PHYS 3705 [0.5 credit] Introduction to Quantum Systems This course is aimed at Computer Science and other students interested in developing a foundational understanding of quantum systems. Topics include: postulates of quantum mechanics, Hilbert space and observables, qubits, 2 state systems, entanglement, Schrodinger equation, 1D potentials, tunnelling, EPR paradox. Precludes additional credit for Precludes additional credit for PHYS 3701 . Prerequisite(s): ( MATH 1004 or MATH 1007 ) and ( MATH 1104 or MATH 1107 ). Lectures three hours a week PHYS 3801 [0.5 credit] Classical Mechanics Introduction to Lagrangian and Hamiltonian mechanics: Poisson brackets, tensors and dyadics; rigid body rotations: introductory fluid mechanics coupled systems and normal coordinates; relativistic dynamics. Prerequisite(s): PHYS 2101 , PHYS 2202 , PHYS 2305 , MATH 2007 , MATH 2008 , MATH 2107 , MATH 2401 or permission of the Department. Lectures three hours a week. PHYS 3802 [0.5 credit] Advanced Dynamics Equations of motion for a single particle. Oscillatory Motion. Lagrangian and Hamiltonian formulations of mechanics. Central force motion. Motion of systems of particles and of rigid bodies. Prerequisite(s): PHYS 2305 , ( MATH 2001 and MATH 2002 ) or MATH 2004 , or permission of the Department. Lectures three hours a week. PHYS 3807 [0.5 credit] Mathematical Physics I Boundary Value problems involving curvilinear coordinates; spherical harmonics, Bessel functions, Green's functions. Functions of a complex variable: analytic functions, contour integration, residue calculus. Precludes additional credit for Precludes additional credit for MATH 3007 or MATH 3057 . Prerequisite(s): ELEC 2501 or PHYS 2305 , MATH 2004 , MATH 3705 or permission of the Department. Lectures three hours a week, tutorial one hour a week. PHYS 3808 [0.5 credit] Mathematical Physics II Solution of second-order total differential equations by Frobenius' method. Sturm-Liouville theory. Special functions: Legendre, Bessel. Hermite, Laguerre and associated functions. Partial differential equations: method of separation of variables, eigenfunctions and eigenvalues and eigenfunction expansions. Green's function techniques for solving inhomogeneous partial differential equations. Precludes additional credit for Precludes additional credit for MATH 3004, MATH 3008 , MATH 3705 , and PHYS 3806. Prerequisite(s): PHYS 3807 or MATH 3007 or permission of the Department. Lectures three hours a week. PHYS 3999 [0.0 credit] Co-operative Work Term Report Provides practical experience for students enrolled in the Co-operative option. Students must receive satisfactory evaluations from their work term employer. Written and oral reports will be required. Graded as Sat or Uns. Prerequisite(s): registration in the Physics Co-operative education option and permission of the Department. PHYS 4007 [0.5 credit] Fourth-Year Physics Laboratory: Selected Experiments and Seminars Students complete a small number of experiments selected from modern optics, holography, atomic physics, nuclear spectroscopy, radiation, etc. An exercise on literature searches and student seminars on experimental and numerical methods are included. Prerequisite(s): PHYS 3606 (or PHYS 3608 ) and registration in the Engineering Physics program. Laboratory, six hours a week. PHYS 4008 [0.5 credit] Fourth-Year Physics Laboratory: Selected Experiments and Workshop Students complete a small number of experiments selected from modern optics, holography, atomic physics, nuclear spectroscopy, radiation, etc. Instruction on instrumentation building techniques will be given. Prerequisite(s): PHYS 3007 . Laboratory, six hours a week. PHYS 4201 [0.5 credit] Astrophysics Stellar evolution, including stellar modeling, main sequence stars, red giants and the end states of stars such as neutron stars and black holes. Galactic structure and dynamics. Neutrino astrophysics. Prerequisite(s): PHYS 3701 , PHYS 3606 or PHYS 3608 , and PHYS 2401 or PHYS 4409 , or permission of the Department. ( PHYS 3606 or PHYS 3608 and PHYS 4409 may be taken concurrently). Also offered at the graduate level, with different requirements, as PHYS 5401 , for which additional credit is precluded. Lectures three hours a week. PHYS 4202 [0.5 credit] Cosmology Observational evidence for the Big Bang. Cosmological space-time, expansion dynamics and contents of the universe. Physical processes in the expanding universe, inflation, nucleosynthesis, the cosmic microwave background, dark matter, and dark energy. Prerequisite(s): PHYS 3701 , PHYS 3606 or PHYS 3608 , and PHYS 2401 or PHYS 4409 , or permission of the Department. ( PHYS 3606 or PHYS 3608 and PHYS 4409 may be taken concurrently). Also offered at the graduate level, with different requirements, as PHYS 5402 , for which additional credit is precluded. Lectures three hours per week. PHYS 4203 [0.5 credit] Physical Applications of Fourier Analysis Fourier transform, convolution. Sampling theorem. Applications to imaging: descriptors of spatial resolution, filtering. Correlation, noise power. Discrete Fourier transform, FFT. Filtering of noisy signals. Image reconstruction in computed tomography and magnetic resonance. Laplace transform. Integral transforms, application to boundary value problems. Prerequisite(s): MATH 3705 , or permission of the Department. Also offered at the graduate level, with different requirements, as PHYS 5313 , for which additional credit is precluded. Lectures three hours a week. PHYS 4208 [0.5 credit] Modern Optics Electromagnetic wave propagation; reflection, refraction; Gaussian beams, guided waves. Laser theory: stimulated emission, cavity optics, modes, gain and bandwidth; atomic and molecular lasers. Mode locking, Q switching. Diffraction theory, coherence, Fourier optics, holography, laser applications. Optical communication systems, nonlinear effects: devices, fibre sensors, integrated optics. Prerequisite(s): PHYS 2212 or PHYS 2202 , PHYS 3606 (or PHYS 3608 ), and PHYS 3308 or permission of the Department. Also offered at the graduate level, with different requirements, as PHYS 5318 , for which additional credit is precluded. Lectures three hours a week. PHYS 4307 [0.5 credit] Electromagnetic Radiation Electromagnetic wave propagation in a vacuum, dielectrics, conductors, and ionized gases, reflection, refraction, polarization at the plane boundary between two media; waveguide and transmission line propagation; dipole and quadrupole radiation fields; antenna systems. Electromagnetic mass, radiation pressure. Tensor notation, transformation of the electromagnetic fields. Prerequisite(s): PHYS 3308 , PHYS 3801 , PHYS 3807 and PHYS 3808 (except for Mathematics and Physics Double Honours students), or permission of the Department. Lectures three hours a week. PHYS 4407 [0.5 credit] Statistical Physics Equilibrium statistical mechanics and its relation to thermodynamics. Maxwell-Boltzmann, Bose-Einstein and Fermi-Dirac statistics are derived, and applied in appropriate physical situations. Fluctuations. Kinetics and transport processes, including the Boltzmann transport equation and some of its applications. Prerequisite(s): PHYS 3402 , PHYS 2602 or PHYS 3601, PHYS 3701 or PHYS 3602, PHYS 4707 (may be taken concurrently); or permission of the Department. Lectures three hours a week. PHYS 4409 [0.5 credit] Thermodynamics and Statistical Physics The three Laws of Thermodynamics, enthalpy, Helmholtz and Gibbs functions. Equilibrium statistical mechanics and its relation to thermodynamics. Maxwell-Boltzmann, Bose-Einstein and Fermi-Dirac statistics. Precludes additional credit for Precludes additional credit for PHYS 3402 and PHYS 4407 . Prerequisite(s): PHYS 3701 (may be taken concurrently), ( MATH 2001 and MATH 2002 ) or MATH 2004 , and MATH 3705 , or permission of the Department. PHYS 4508 [0.5 credit] Solid State Physics An introduction to solid state physics. Topics include crystal structure, phonons and lattice vibrations, conductors, semiconductors, insulators and superconductivity. Prerequisite(s): PHYS 3606 or PHYS 3608 , and PHYS 3701 , or permission of the Department. Lectures three hours a week. PHYS 4602 [0.5 credit] Physics of Elementary Particles Standard Model. Properties of leptons, quarks, hadrons. Fundamental interactions: photon, gluons, W/Z bosons. Higgs boson. Conservation laws, invariance principles, quantum numbers. Decay rates and scattering cross-sections. Quantum electrodynamics and chromodynamics. Resonances. Weak interactions, CKM matrix, parity and CP violation. Neutrino masses and oscillations. Future directions. Prerequisite(s): PHYS 4707 or permission of the Department. Also offered at the graduate level, with different requirements, as PHYS 5602 , for which additional credit is precluded. Lectures three hours a week. PHYS 4608 [0.5 credit] Nuclear Physics Ground state properties of nuclei. Nuclear models, binding energy, properties of excited nuclei. Alpha, beta and gamma decay. Passage of radiation through matter, detectors. Nuclear reactions, cross sections, fission, fusion. Elements of neutron physics. Prerequisite(s): PHYS 3606 or PHYS 3608 or permission of the Department. Lectures three hours a week. PHYS 4705 [0.5 credit] Introduction to Quantum Phenomena Postulates of Quantum Mechanics, Quantum communication and cryptography, Entanglement, EPR paradox and Bell inequalities, Introduction to wave mechanics: Energy quantization and tunneling, Survey of quantum material: superconductor, topological insulators, semimetals. Survey of quantum sensing: NMR, trapped ions, superconducting qubit, atomic clocks. Also offered at the graduate level, with different requirements, as PHYS 5705 , for which additional credit is precluded. Lectures three hours per week. PHYS 4707 [0.5 credit] Introduction to Quantum Mechanics I The basic interpretative postulates of quantum mechanics; applications of wave mechanics and operator methods to various quantum mechanical systems; quantum mechanical treatment of angular momentum. Prerequisite(s): PHYS 3701 and PHYS 3807 or equivalent, or permission of the Department. Lectures three hours a week. PHYS 4708 [0.5 credit] Introduction to Quantum Mechanics II Scattering theory and application; bound state problems; approximation methods. Prerequisite(s): PHYS 4707 or permission of the Department. Lectures three hours a week. PHYS 4804 [0.5 credit] Introduction to General Relativity Special relativity using tensor analysis. Curved spacetime with physics applications which may include the solar system, stars, black holes and gravitational waves. Introduction to differential geometry and Einstein's field equations. Prerequisite(s): PHYS 3802 or equivalent, or permission of the Department. Also offered at the graduate level, with different requirements, as PHYS 5804 , for which additional credit is precluded. Lectures three hours a week. PHYS 4807 [0.5 credit] Statistical Data Analysis Techniques for Physics Computational methods used in analysis of experimental data. Introduction to probability and random variables. Monte Carlo methods for simulation of random processes. Statistical methods for parameter estimation and hypothesis tests. Confidence intervals. Multivariate data classification. Unfolding methods. Examples primarily from particle and medical physics. Prerequisite(s): third year standing in a physics program and an ability to program in Python, Java, C or C+ +, and permission of the Department. Also offered at the graduate level, with different requirements, as PHYS 5002 , for which additional credit is precluded. Lectures three hours a week. PHYS 4901 [0.5 credit] Special Topics in Physics Each year, at the direction of the Department, a course on a special topic may be offered. Prerequisite(s): permission of the Department. PHYS 4907 [0.5 credit] Fourth-Year Project Advanced projects of an experimental or theoretical nature with an orientation towards research. A written mid-term progress report is required and also a written and oral report at the conclusion of the project. Prerequisite(s): fourth-year standing in an Honours Physics program or equivalent, and permission of the Department. Project. Fall term only. PHYS 4908 [0.5 credit] Fourth-Year Project Advanced projects of an experimental or theoretical nature with an orientation towards research. A written mid-term progress report is required and also a written and oral report at the conclusion of the project. Prerequisite(s): fourth-year standing in an Honours Physics program or equivalent, and permission of the Department. Project. Winter term only. PHYS 4909 [1.0 credit] Fourth-Year Project Advanced projects of an experimental or theoretical nature with an orientation towards research. A written mid-term progress report is required and also a written and oral report at the conclusion of the project. Prerequisite(s): fourth-year standing in an Honours Physics program or equivalent, and permission of the Department. Project Note: Not all courses listed are offered in a given year. For an up-to-date statement of course offerings for the current session and to determine the term of offering, consult the class schedule at central.carleton.ca . Summer session: some of the courses listed in this Calendar are offered during the summer. Hours and scheduling for summer session courses will differ significantly from those reported in the fall/winter Calendar. To determine the scheduling and hours for summer session classes, consult the class schedule at central.carleton.ca B.Sc. Regulations The regulations presented in this section apply to all Bachelor of Science programs. In addition to the requirements presented here, students must satisfy the University regulations common to all undergraduate students including the process of Academic Continuation Evaluation (see the Academic Regulations of the University section of this Calendar). Breadth Requirement for the B.Sc. Students in a Bachelor of Science program must present the following credits at graduation: 2.0 credits in Science Continuation courses not in the major discipline; students completing a double major are considered to have completed this requirement providing they have 2.0 credits in Science Continuation courses in each of the two majors; 2.0 credits in courses outside of the faculties of Science and Engineering and Design (may include ISAP 1000) In most cases, the requirements for individual B.Sc. programs, as stated in this Calendar, contain these requirements, explicitly or implicitly. Students admitted to B.Sc. programs by transfer from another institution must present at graduation (whether taken at Carleton or elsewhere): 2.0 credits in courses outside of the faculties of Science and Engineering and Design (may include ISAP 1000) if the student received fewer than 10.0 transfer credits; or, 1.0 credit in courses outside of the faculties of Science and Engineering and Design (may include ISAP 1000) if the student received 10.0 or more transfer credits. Declared and Undeclared Students Degree students are considered "Undeclared" if they have been admitted to a degree, but have not yet selected and been accepted into a program within that degree. The status "Undeclared" is available only in the B.A. and B.Sc. degrees. Undeclared students must apply to enter a program upon or before completing 3.5 credits. Change of Program within the B.Sc. Degree To transfer to a program within the B.Sc. degree, applicants must normally be Eligible to Continue (EC) in the new program, by meeting the CGPA thresholds described in Section 3.1.9 of the Academic Regulations of the University. Applications to declare or change programs within the B.Sc. degree must be made online through Carleton Central by completing a Change of Program Elements (COPE) application form within the published deadlines. Acceptance into a program, or into a program element or option, is subject to any enrolment limitations, and/or specific program, program element or option requirements as published in the relevant Calendar entry. Minors, Concentrations, and Specializations Students may add a Minor, Concentration, or Specialization by completing a Change of Program Elements (COPE) application form online through Carleton Central. Acceptance into a Minor, Concentration, or Specialization normally requires that the student be Eligible to Continue (EC) and is meeting the minimum CGPAs described in Section 3.1.9 of the Academic Regulations of the University , as well as being subject to any specific requirements of the intended Minor, Concentration, or Specialization as published in the relevant Calendar entry. Experimental Science Requirement Students in a B.Sc. degree program must present at graduation at least two full credits of Experimental Science chosen from two different departments or institutes from the list below: Approved Experimental Science Courses Biochemistry BIOC 2200 [0.5] Cellular Biochemistry BIOC 3103 [0.5] Experimental Biochemistry I: Principles and Practices BIOC 3104 [0.5] Experimental Biochemistry II: Research Experience BIOC 4001 [0.5] Methods in Biochemistry BIOC 4201 [0.5] Advanced Cell Culture and Tissue Engineering Biology BIOL 1103 [0.5] Foundations of Biology I BIOL 1104 [0.5] Foundations of Biology II BIOL 2001 [0.5] Animals: Form and Function BIOL 2002 [0.5] Plants: Form and Function BIOL 2104 [0.5] Introductory Genetics BIOL 2200 [0.5] Cellular Biochemistry BIOL 2600 [0.5] Ecology Chemistry CHEM 1001 [0.5] General Chemistry I CHEM 1002 [0.5] General Chemistry II CHEM 2103 [0.5] Physical Chemistry I CHEM 2203 [0.5] Organic Chemistry I CHEM 2204 [0.5] Organic Chemistry II CHEM 2302 [0.5] Analytical Chemistry I CHEM 2303 [0.5] Analytical Chemistry II CHEM 2800 [0.5] Foundations for Environmental Chemistry Earth Sciences ERTH 1002 [0.5] The Earth and Life Odyssey: A Journey Through Billions of Years ERTH 2102 [0.5] Mineralogy to Petrology ERTH 2404 [0.5] Engineering Geoscience ERTH 2802 [0.5] Field Geology I ERTH 3111 [0.5] Vertebrate Evolution: Mammals, Reptiles, and Birds ERTH 3112 [0.5] Vertebrate Evolution: Fish and Amphibians ERTH 3204 [0.5] Mineral Deposits ERTH 3205 [0.5] Physical Hydrogeology Food Sciences FOOD 3001 [0.5] Food Chemistry FOOD 3002 [0.5] Food Analysis FOOD 3005 [0.5] Food Microbiology Geography GEOG 1010 [0.5] Global Environmental Systems GEOG 3108 [0.5] Soil Properties Neuroscience NEUR 3206 [0.5] Sensory and Motor Neuroscience NEUR 3207 [0.5] Systems Neuroscience NEUR 4600 [0.5] Advanced Lab in Neuroanatomy Physics PHYS 1001 [0.5] Foundations of Physics I PHYS 1002 [0.5] Foundations of Physics II PHYS 1003 [0.5] Introductory Mechanics and Thermodynamics PHYS 1004 [0.5] Introductory Electromagnetism and Wave Motion PHYS 1007 [0.5] Elementary University Physics I PHYS 1008 [0.5] Elementary University Physics II PHYS 2007 [0.5] Second Year Physics Laboratory: Selected Experiments and Seminars PHYS 3007 [0.5] Third Year Physics Laboratory: Selected Experiments and Seminars PHYS 3606 [0.5] Modern Physics II PHYS 3608 [0.5] Modern Applied Physics Course Categories for B.Sc. Programs
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Political Science

2026-27

  • Departmental Language Requirement The Department of Political Science requires Honours students to demonstrate basic proficiency in at least one language other than English, normally French. Honours students are required to demonstrate such proficiency, normally through the completion of 1.0 credit at the 1000-level or higher in one language offered at Carleton. For students who consider that they already have proficiency in French, the Department of Political Science conducts a French language examination twice a year, in November and February. For students who consider themselves proficient in a second language other than French, arrangements may be made to examine the student in that language, depending on faculty resource availability. Departmental language examinations may not be repeated in case of failure. Students whose high school transcript shows the primary language of instruction to be other than English may apply to have the examination requirement waived. For students in the Canadian concentration, French must be used to satisfy the language requirement. Political Science B.A. Honours (20.0 credits)
  • Political Science B.A. Combined Honours (20.0 credits)
  • Political Science B.A. (15.0 credits)
  • Concentrations The concentrations described below are open to all students in Political Science programs. The maximum number of Political Science credits that can be counted towards the degree is 12.0 credits for the Political Science B.A. Honours program, 8.0 for the Political Science B.A. program and 9.0 for the Political Science B.A. Combined Honours program. Concentrations are open to students in the Political Science B.A. program, though it may be difficult to meet the requirements of the Concentrations within the 15.0 credits required for the degree, so that courses extra to the primary degree may have to be taken. Concentration in Canadian Politics and Public Policy (4.0 credits)
  • Specialization in Global Politics B.G.In.S. Honours (20.0 Credits)
  • Stream in Global Politics B.G.In.S. (15.0 credits)
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Social Statistics and Data Analysis

2026-27

  • Graduate Diploma in Social Statistics and Data Analysis (2.0 credits)
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