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2009-2010 Undergraduate Calendar

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Mathematics (MATH)

School of Mathematics and Statistics
Faculty of Science

MATH 2004 [0.5 credit]

Multivariable Calculus for Engineering or Physics

Fourier series; expansions for even and odd functions; half-range expansions. Surfaces in R3. Differential calculus of functions of several variables. Extrema and Lagrange multipliers. Exact differentials. Line integrals. Double integrals; polar coordinates; applications. Triple integrals; cylindrical and spherical coordinates; applications.
Precludes additional credit for: MATH 2001, MATH 2002, MATH 2008, MATH 2009 and MATH 2000.
Prerequisites: i) MATH 1005 or MATH 2007; and ii) MATH 1104 or MATH 1107; or permission of the School; enrolment in the Faculty of Engineering, or in B.Sc. programs of the Department of Physics (except Double Honours Mathematics and Physics).
Lectures three hours a week, tutorial one hour a week.

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

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