Math 618 Theory of Functions of a Complex Variable II

Spring 2011

Boas's photo

Harold P. Boas
(979) 845–7269

This course in the theory of functions of one complex variable is a continuation of Math 617, which is the prerequisite. Topics include analytic continuation, normal families, proof of the Riemann mapping theorem, Runge's approximation theorem, boundary behavior of conformal maps, infinite products, the Weierstrass factorization theorem, Mittag-Leffler's theorem, entire functions, and Picard's theorems.

No textbook needs to be purchased. The primary reference is Complex Variables by Robert B. Ash and W. P. Novinger, which is freely available online. I expect to cover Chapters 5 and 6 and some additional topics.
The course meets 9:35–10:50 a.m. on Tuesday and Thursday in room 134 of the Civil Engineering Building.
Exams and grades
There will be a midterm exam in class on March 3 (Thursday). The final exam is scheduled for 12:30–2:30 p.m. on May 6 (Friday). Each exam counts for one third of the course grade. Homework counts for the remaining third of the course grade.
Office hours
During the Spring 2011 semester, my office hour in Milner 202 is 3:00–4:00 p.m. on Monday and Wednesday; I am available also by appointment.