Moebius transformations; local behavior of analytic functions, open and inverse mapping theorems; Schwarz’s lemma; harmonic functions, solution of the Dirichlet problem on the disk, the Jensen and Poisson- Jensen formulas, the Schwarz reflection principle; analytic continuation; normal families, the Riemann mapping theorem, the homotopic version of Cauchy’s theorem; conformal mapping. Antirequisite(s): Prerequisite(s): Mathematics 3124A/B. Corequisite(s): Pre-or Corequisite(s): Extra Information: 3 lecture hours, 0.5 course. back to top
