MAT337H1: Introduction to Real Analysis

Hours

36L

Construction of Real Numbers. Metric spaces; compactness and connectedness. Sequences and series of functions, power series; modes of convergence. Interchange of limiting processes; differentiation of integrals. Function spaces; Weierstrass approximation; Fourier series. Contraction mappings; existence and uniqueness of solutions of ordinary differential equations. Countability; Cantor set; Hausdorff dimension.

Prerequisite
MAT224H1/MATB24H3/MAT224H5/MAT247H1/MAT247H5, MAT235Y1/MAT235Y5/(MAT232H5, MAT236H5)/(MATB41H3, MATB42H3)/MAT237Y1/(MATB41H3, MATB42H3, MATB43H3)/MAT237Y5, MAT246H1/MAT157Y1; NOTE: These Prerequisites will be waived for students who have MAT257Y1
Exclusion
MAT357H1 & MAT378H5
Distribution Requirements
Science
Breadth Requirements
The Physical and Mathematical Universes (5)