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;
- analyze the range of holomorphic functions; and
- solve all the problems on past qualifying examinations in complex analysis.
The required textbook is Complex Made Simple by David C. Ullrich,
American Mathematical Society, 2008, ISBN 978-0-8218-4479-3 (the same book as used in Math 617 during the Fall 2014 semester).
- Meeting time and place
The course meets 9:35–10:50 on Tuesday and Thursday mornings in room 163 of the Blocker building.
- Exams and grades
- There will be a midterm exam on February 26 (Thursday). The
final exam is scheduled for 12:30–2:30 in the afternoon of
Thursday, May 7. 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 2015 semester, my office hour in Blocker 601L is on Monday and Wednesday afternoons from
3:00–4:00; I am available also by appointment.
The best way to contact me is via email to firstname.lastname@example.org. Telephone messages can be left at the Department of Mathematics, 979-845-7554.