Carleton University · MATH 2004

Multivariable Calculus for Engineering or Physics

Credits : 0.5 creditReference year : 2026-27

Description

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.

Prerequisites

  • 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.

Conditions and arrangements

  • 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.
Reference text in its original language

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.

  • 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.
  • Precludes additional credit for Precludes additional credit for BIT 2005, BIT 2010 , MATH 2000 (no longer offered), MATH 2001 , MATH 2002 , and MATH 2008 .
  • Lectures three hours a week, tutorial one hour a week.

Sources and references

Dates and sources are retained to help you verify the information. Translations are provided to facilitate reading; the official source governs conditions and requirements.

Source reference : https://calendar.carleton.ca/undergrad/courses/MATH/

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