Complex Analysis

3 credits · Graduate Programs

A rigorous study of function of a single complex variable. Holomorphic function, Cauchy integral formula and its applications. Conformal mappings. Fractional linear transformations. Argument principle. Schwarz lemma. Conformal self-maps of the unit disk. Prerequisite(s): Admission to a graduate program in Mathematics and Statistics or consent of the Department. Antirequisite(s): Credit for Mathematics 621 and 521 will not be allowed.