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: Math 220A
Text Book: Complex Analysis, by Ahlfors
Additional reading: There are a number of books on complex variable: Complex Analysis, Houston; Complex Analysis, Cain; Functions of one complex variable, Conway; Theory of functions of one complex variable, Markushevich; The theory of functions, Titchmarsh
Practice questions for the midterm Model answers to the midtermPractice questions for the final Model answers to the final
RECENT UPDATE
[03.11.2015] Extra office hours 1-2 Friday March 13th
[03.11.2015] Final will cover lectures 1-15