A three-quarter sequence covering complex numbers, analytic functions, contour integration, power series, analytic continuation, sequences of analytic functions, conformal mapping of simply connected regions, and related topics.

Cauchy theory and applications. Series and product expansions of holomorphic and meromorphic functions. Classification of isolated singularities. Theory and applications of normal families. Riemann mapping theorem; mappings defined by elementary functions; construction of explicit conformal maps. Runge's theorem and applications. Picard's theorems and applications. Harmonic functions; the Poisson integral; the Dirichlet problem.  Analytic continuation and the monodromy theorem. The reflection principle.

Text:  Ralph Boas' Invitation to Complex Analysis, which is out of print; copies (made with permission of the publisher) are available from Professional Copy 'N' Print, 4200 University Way.