Theory of Functions of a Complex Variable II
- Course description
- This three-credit course is a continuation of Math 617, which is the prerequisite. Topics
include infinite products, the Weierstrass factorization theorem,
Mittag-Leffler’s theorem, normal families, proof of the
Riemann mapping theorem, analytic continuation, Runge’s
approximation theorem, conformal mapping, and Picard’s
- Course objectives
By the end of the course, you should be able to
- explain the theory of convergence and approximation in the space
of holomorphic functions;
- apply the theory of conformal mapping; and
- analyze the range of holomorphic functions.
The required textbook is
Invitation to Complex Analysis
by Ralph P. Boas, second edition revised by Harold P. Boas, Mathematical Association of America, 2010, ISBN 9780883857649.
- Meeting time and place
The course meets 12:45–2:00 on Tuesday and Thursday afternoons in room 624 of the Blocker building.
- Exams and grades
- There will be a midterm exam on February 28 (Thursday). The
final exam is scheduled for 8:00–10:00 on the morning of
Wednesday, May 8. Each exam counts for one third of the course grade. Homework/classwork counts for the remaining third of the course grade.
- Course website
- Office hours
During the Spring 2013 semester, my office hour in Milner 202 is 2:00–3:00 in the afternoon on Monday and Wednesday; I am available also by appointment. The best way to contact me is via email to email@example.com. Telephone messages can be left at the Milner office of the Department of Mathematics, 979-845-7554.