Complex Analysis II

3 credits · Undergraduate 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): Mathematics 307; and Mathematics 445 or 447; and 3 units of Mathematics in the Field of Mathematics at the 400 level or above.