COURSE DESCRIPTION
Complex numbers and functions. Cauchy theorem and its applications, calculus of residues, expansions of analytic functions, analytic continuation, conformal mapping and Riemann mapping theorem, harmonic functions. Dirichlet principle, Riemann surfaces;
Prerequisites: Undergraduate analysis and Math 220A (or equivalent)
Text Book: Introduction to complex analysis in several variables by L. Hormander, but text book is not necessarily needed. Lecture notes will be provided.
RECENT UPDATES
- Extra (Make-up) classes will held on Tuesdays 4-5 pm starting on Jan 28. Location: APM 6402 (or 6218 is 6402 is occupied).
- New location. Extra (Make-up) classes on Tuesdays 4-5 pm starting on Feb 18: APM 6218.
- Instructor will be away Feb 24-Mar 3. Next class Wed Mar 4.