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220A Autumn 2014


Instructor: James McKernan

Office: APM 6260, Tel. (858) 534-6347

Email: jmckernan [at] math . ucsd .edu

Lectures: MWF 11-11:50, APM 5402

Office hours: MW 2:00-3:30


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 140A-B

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 midterm
Practice questions for the final Model answers to the final

RECENT UPDATE

[10.10.2014]  Calum Spicers office hours Tuesday 1-3