MATH 320

Real Variables (3,1,0) 3 credits

This course is a continuation of MATH 220. Most or all of the following topics are discussed: theorems of single-variable differential calculus, including the mean-value theorem, Taylor's theorem and the inverse function theorem, Euclidean space and metric spaces, basic topology of metric spaces (neighbourhoods, open sets, connected sets), convergence in metric spaces, compactness, including the Bolzano-Weierstrass and Heine-Borel theorems, and integration.

Prerequisite: MATH 220 (B- minimum strongly recommended) and at least one of MATH 307, MATH 308, MATH 312 and MATH 322