Math 618
Theory of Functions of a Complex Variable II
Spring 2015

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;
  • 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 Telephone messages can be left at the Department of Mathematics, 979-845-7554.