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MATH131 - Multivariate Calculus/Lecture

A continuation of calculus (MATH120, 121, 122 or MATH124, 125). Multivariate calculus uses linear algebra to extend the important concepts of single-variable calculus to higher-dimensional settings. Topics include scalar-valued and vector-valued functions, graphs, level sets, limits and continuity; partial derivatives, gradients, tangent planes, differentiability, total derivatives, directional derivatives; paths, velocity, acceleration, arclength, curvature, vector fields, divergence, curl; extrema, Hessians; multiple integrals, change of variables, Jacobians; line integrals, Green's theorem; surface integrals, Stokes' theorem, and Gauss's theorem. Prerequisites: MATH122 or MATH130. Mr. Chou, Mr. Joyce, Ms. Sternberg/Offered every spring


Faculty

David Joyce, Ph.D. - Professor of Mathematics

Natalia Sternberg, Ph.D. - Professor of Mathematics and Computer Science

 

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