Math 618
Theory of Functions of a Complex Variable II
Spring 2013

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 theorems.
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 Telephone messages can be left at the Milner office of the Department of Mathematics, 979-845-7554.