2012-2013 Academic Catalog

Nov 23, 2024

2012-2013 Academic Catalog [ARCHIVED CATALOG]

MATH 131 - Multivariate Calculus

Type of Course: Lecture

A continuation of calculus (MATH 120, MATH 121,

or MATH 124, MATH 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:

MATH 122

or MATH 130.