MATH-6300

Complex Analysis

A basic graduate course covering Cauchy’s Theorem, residues, infinite series and products, partial fractions, conformal mapping and the Riemann mapping theorem, analytic continuation, zeros and growth of analytic functions, approximation by rational functions, Phragmen-Lindelof Theorems, inverse-scattering theory, elliptic functions, and Riemann Surfaces. Prerequisites: MATH-4210 and MATH-4300 or equivalent or permission of instructor. Fall term odd-numbered years.

4 credit hours