MTH 531 - Topics in Analysis

4 credits each
The following and other topics are offered as needed. Repeat credit is offered for distinct topics.

Metric Spaces: Extends analytic concepts to general metric spaces and mappings. Includes metric topology, convergence, continuity, and compactness. Prerequisite: MTH 331 .

Complex Analysis: Studies complex numbers, mappings, differentiation, and integration. Prerequisite: MTH 311 .

Integration: Introduces Lebesque and Riemann integration.

Infinite Series: Extends the analysis of infinite series to series of functions. Topics include uniform convergence, power series, and trigonometric series. Prerequisites: MTH 253 and MTH 311 .