Theory of Functions of a Complex Variable II
This three-credit course is a sequel to 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, harmonic functions, and Picard’s
By the end of the course, you should be able to
explain the theory of convergence and approximation in the space
of holomorphic functions;
construct harmonic and holomorphic functions having specified properties; and
analyze the range of holomorphic functions.
The required textbook is the same as in Math 617 last semester:
Functions of One Complex Variable I, second edition,
by John B. Conway, published by Springer-Verlag in 1978. Since
the campus library subscribes to a collection of Springer books,
TAMU students can download a pdf copy of the textbook for free (using your TAMU NetID password).
At the same link, there is an option to purchase a paper copy for $24.99 (plus tax), much cheaper than the list price. (Look for the box labeled “MyCopy softcover.”) If you prefer a hardback, check with your favorite book vendor.
The course material is contained in Chapters VII–XII.
Meeting time and place
The course meets 12:45–2:00 on Tuesday and Thursday afternoons in room 205B of the Blocker Building.
Exams and grades
There will be a midterm examination on February 21 (Thursday).
The final examination is scheduled for 8:00–10:00 in the morning of
Tuesday, May 7. Each exam counts for one third of the course grade. Homework/classwork counts for the remaining third of the course grade.
During the Spring 2019 semester, my office hour in Blocker 601L 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 main office of the Department of Mathematics, 979-845-7554.