MATH 242 : Multivariable and Vector Calculus

Credits: 4

Course Description: Differential and integral calculus of functions of several variables and of vector fields. Topics include Euclidean, polar, cylindrical, and spherical coordinates; dot product, cross-product, equations of lines and planes; continuity, partial derivatives, directional derivatives, optimization in several variables; multiple integrals, iterated integrals, change of coordinates, Jacobians, general substitution rule; curves and surfaces, parametrizations, line integrals, surface integrals; gradient, circulation, flux, divergence; conservative, solenoidal vector fields; scalar, vector potential; Green, Gauss, and Stokes theorems.

Pre-Requisites: MATH 141.

Comments: Because MATH 242 is the final part of a three-semester calculus sequence, it should be taken as soon as possible after MATH 141. No student receives graduation credit for MATH 240 if it is taken after successful completion of MATH 242. Students may take MATH 242 after MATH 240 only with the explicit permission of the Department and then only for one credit.