Math 226: Complex Analysis
This course will cover complex numbers; elementary functions and their
mapping properties; Cauchy's integral theorem; Cauchy's integral formula;
Taylor series; Laurent series; Liouville's theorem; fundamental theorem of
algebra; zeros and poles; residue theorem; contour integration.
Our goal is to cover chapters 1 through 7 of the book "Complex Variables
and Applications" by James W. Brown and Ruel V. Churchill, 7th edition,
McGraw-Hill.
Classes meet Tuesday, Thursday 9:00 - 10:20
Exley Science Center 638
Course information (pdf)
Math 513: Graduate Analysis
The course consist of an introduction to complex analysis. We will cover
chapters I--V and selected other topics of Bruce Palka's book "An
Introduction to Complex Function Theory", Springer Verlag 1991. Topics
will include analytic functions, power series, Möbius transformations,
Cauchy's Integral Theorem and Formula in its general form, isolated
singularities, conformal mappings, maximum modulus principle, Schwarz'
Lemma, and possibly the Riemann Mapping Theorem.
Classes meet Tuesday, Thursday 10:30 - 11:50
Exley Science Center 638
Course information (pdf)