| MTH 431 - Topics in Analysis4 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 .   
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