Math 617-600 Theory of Functions of a Complex Variable I, Fall 2007

Short Description
Function Theory of One Complex Variable, 3rd edition. American Mathematical Society, 2006. Math-617 constitutes the first half of the Complex Analysis …

Website: www.math.tamu.edu | Filesize: 31kb

Content
Math 617-600: Theory of Functions of a Complex
Variable I, Fall 2007
Professor Emil J. Straube
Time/Loc.: MWF 12:40 - 1:30, BLOC 624
Office: Miln 215, 845 3721, straube@math.tamu.edu
Office hours: MWF 1:45 - 2:45, but feel free to come and see me any time.
Text: Robert E. Greene and Steven G. Krantz,
Function Theory of One Complex Variable, 3rd edition
American Mathematical Society, 2006
Math-617 constitutes the first half of the Complex Analysis qualifier sequence
(Math-617, Math-618).
Prerequisites: This is a first year graduate course. Accordingly, a solid
background in undergraduate analysis is expected. The officially listed prerequisite
is Math-410.
Course Content: Math-617 covers chapters 1 through 6 in the text, Math-
618 will cover chapters 7 through 12 (approximately). A brief list of topics
for Math-617 is as follows: complex numbers, elementary properties of analytic
functions, complex integration, Cauchy’s theorem, power series representation,
Cauchy estimates, Liouville’s theorem, singularities, Laurent
expansions, residues, the argument principle, the open mapping theorem,
the maximum modulus principle, Schwarz’s lemma, M¨obius transformations,
Riemann mapping theorem.
Grading Policy: There will be three exams worth 100 points…