Course: MATH 450B. Advanced Calculus II (3)
Prerequisite: Completion of MATH 450A with a grade of “C” or better. Topics include topology on R^n, continuity and differentiability of functions from domains in R^m to R^n, Taylor’s formula, the inverse and implicit function theorems, integration of functions on Jordan regions, iterated integrals, the change of variables theorem, curves and surfaces in R^n, and the theorems of Green, Gauss, and Stokes. Available for graduate credit.