2011-2012 Academic Catalog 
    
    Sep 19, 2019  
2011-2012 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:    or MATH 130 .