MATH 425 A: Fundamental Concepts of Analysis

Introduction to metric spaces and multivariable differential calculus: Euclidean spaces, abstract metric spaces, compactness, Bolzano-Weierstrass property, sequences and their limits, Cauchy sequences and completeness, Heine-Borel Theorem, continuity, uniform continuity, connected sets and the intermediate value theorem. Derivatives of functions of several variables, chain rule, mean value theorem, inverse and implicit function theorems. Course overlaps with: STMATH 425. Prerequisite: a minimum grade of 2.0 in either MATH 136 or MATH 208; and a minimum grade of 2.0 in either MATH 335 or MATH 424. Offered: WSp.