Course Title:	Complex Analysis
Unique Number:	M381D (59180)
Time/Location of Lecture:	MWF 10:00-11:00 am, RLM 12.166
Instructor:	Professor Hans Koch

Brief description: We plan to cover much of Chapters 2-4 in Ahlfors' book, part of Chapters 5 and 6, and some more on elliptic functions and/or Riemann surfaces. This includes the topics listed on the Preliminary Exam Syllabus in Complex Analysis.

Textbook:   L.V. Ahlfors, Complex Analysis, 3rd Edition, McGraw-Hill, 1979.

Some Other References:
A.F. Beardon, A Primer on Riemann Surfaces, Cambridge University Press, 1984.
J.B. Conway, Functions of One Complex Variable, Springer, 1978.
T.W. Gamelin, Complex Analysis, Springer, 2001.
R.E. Greene, S.G. Krantz, Function Theory of One Complex Variable, AMS, 2001.
S.G. Krantz, Complex Analysis: The Geometric Viewpoint, MAA, 1990.
B.P. Palka, An Introduction to Complex Function Theory, Springer, 1991.
W. Rudin, Real and Complex Analysis, McGraw-Hill, 1987.

Prerequisites: Familiarity with the subject matter of the undergraduate analysis course M365C, a syllabus of which can be found at the end of this page

Consent of Instructor Required?:   No

First Day Handout:   Here

Homework:   0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, remarks.

Exams:    old:  1, 2, 3    new:  1, 2, 3

Prof. H. Koch

RLM 12.152

471-8183

Email: koch@math.utexas.edu

Homepage: http://www.math.utexas.edu/users/koch/