2010-2011 Academic Catalog

Nov 21, 2024

2010-2011 Academic Catalog [ARCHIVED CATALOG]

MATH 131 - Multivariate Calculus

Type of Course: Lecture

A continuation of calculus (MATH 120, MATH 121, 122 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.

Instructor: Mr. Chou, Mr. Joyce, Ms. Sternberg

When Offered: Offered every spring

Faculty: David Joyce, Ph.D. - Professor of Mathematics, Natalia Sternberg, Ph.D. - Professor of Mathematics and Computer Science