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:
Exclusion:
MAT357H1 & MAT378H5
Distribution Requirements:
Science
Breadth Requirements:
The Physical and Mathematical Universes (5)
Program Area Section: