MATH 4534
Complex Analysis
This is a PhD-level course that rigorously covers core topics in classical complex analysis. These topics include: analytic functions; harmonic functions; the Schwarz lemma; contour integration; conformal mapping; the Riemann mapping theorem; the Mittag-Leffler theorem; analytic continuation. This class provides preparation for the complex analysis portion of the Comprehensive Exam. Instructor approval required.
Topics
- analytic functions
- harmonic functions
- the Schwarz lemma
- contour integration
- conformal mapping
- the Riemann mapping theorem
- the Mittag-Leffler theorem
- analytic continuation
Topics explicitly listed in official catalogue description
Sources
- Course catalogue ↗2026-2027