MATH 033. Basic Several-Variable Calculus

This course considers differentiation and integration of functions of several variables with special emphasis on two and three dimensions. Topics include partial differentiation, extreme value problems, Lagrange multipliers, multiple integrals, line and surface integrals, Green’s, Stokes’, and Gauss’ theorems. The department strongly recommends that students take MATH 034 instead, which is offered every semester and provides a richer understanding of this material by requiring linear algebra (MATH 027 or MATH 028) as a prerequisite and applying linear algebra concepts in the course. Students may take only one of MATH 033, MATH 034, and MATH 035 for credit.
Prerequisite: A grade of C or better in MATH 025 or MATH 026 or placement by examination (see “Advanced Placement and Credit Policy” section). Students who have taken linear algebra at Swarthmore or elsewhere may not take MATH 033 without the instructor’s permission.
Natural sciences and engineering.
1 credit.
Fall 2023. Goldwyn.
Fall 2024. Staff.
Fall 2025. Staff.
Catalog chapter: Mathematics and Statistics
Department website: http://www.swarthmore.edu/mathematics-statistics

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