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MATH 2004

Multivariable Calculus for Engineering or Physics

0.5 credit · Undergraduate

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.

2022

Readings

  • The ABC of Calculus, Volume 2, by Angelo Mingarelli, (see books.mingarelli.com for the digital copy, Softcover copies are also available in HP 4380).
  • Solutions Manual to go with the above text can be found https://people.math.carleton.ca/ angelo/calculus/ABC-Solutions-Apr22-2021-Pandemic.pdf

Prerequisites & course information

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.

Sources