Basic Concepts of Analysis

Undergraduate

Sets; mappings, countability; properties of the real number system; inner product, norm, and the Cauchy-Schwarz inequality; compactness and basic compactness theorems (Cantor’s theorem, the Bolzano-Weierstrass theorem, the Heine-Borel theorem); connectedness; convergence of sequences; Cauchy sequences; continuous and uniformly continuous functions. Course Format: Lectures, 3 hours per week; lab/tutorial, 1 hour per week. Prerequisite(s): MATH 2P03 Course Notes: This course may be offered in multiple modes of delivery. The method of delivery will be listed on the academic timetable, in the applicable term. Software Fee Required.