微积分概念 I：微分

Calculus Concepts I Differential calculus emphasizing on concepts and the use of both theory and computers to solve problems. Precalculus topics, limits, continuity and the intermediate value theorem, derivatives and differentiability, implicit differentiation, linear approximation, mean value theorem with proof and applications, max and min, related rates, curve sketching, l'Hospital's rule, antiderivatives, Riemann sums, FTC with proof, integration by substitution. Use of Maple. (Software Fee Required) Lectures, 3 hours per week; lab/tutorial, 1 hour per week. Prerequisite(s): Two grade 12 mathematics credits including MCV4U or permission of the instructor. Note: intended for mathematics majors and/or future teachers. Students must successfully complete the Mathematics Skills Test. This course may be offered in multiple modes of delivery. The method of delivery will be listed on the academic timetable, in the applicable term. Completion of this course will replace previous assigned grade and credit obtained in MATH 1P05 and 1P97 .

• Prerequisite(s): Two grade 12 mathematics credits including MCV4U or permission of the instructor.
• Note: intended for mathematics majors and/or future teachers. Students must successfully complete the Mathematics Skills Test. This course may be offered in multiple modes of delivery. The method of delivery will be listed on the academic timetable, in the applicable term. Completion of this course will replace previous assigned grade and credit obtained in MATH 1P05 and 1P97 .