Course Content
- In the first semester we hope to cover many of the classical and important results in the theory of complex variables. These include analyticity of complex functions, Cauchy integral theorem and integral formulae, maximum modulus, calculus of residues, argument priciple, open mapping theorem, complex power series, Laurent series, behavior at an isolated singularity, Mobius transformations, conformal equivalence, Riemann mapping theorem, Mittag-Leffler, Weierstrass factorization, Schwarz reflection principle, analytic continuation. If time permits we will of course go further.
Some References
L.Ahlfors, Complex Analysis
S.Lang, Complex Analysis
Greene and Krantz, Function Theory of One Complex Variable
J.Conway, Functions of One Complex Variable
L.Toralballa, Theory of Functions
Freitag and Busam, Complex Analysis
N.Asmar, Applied Complex Analysis
K.Kodaira, Complex Analysis
E.Hille, Analytic Function Theory
Nevanlinna, Intro to Complex Analysis
Saks and Zygmund, Analytic Functions
F.Flanigan, Complex Variables
Whittaker and Watson, A course in Modern Analysis
P.Dienes The Taylor Series
Grading Policy
Homework will count 30%
Midterm will count 30%
Final will count 40%
Course Information
There will be no class on Friday September 19.
There will be no class on Monday September 22.
There will be a make-up class on Monday, September 14, at 6:05 PM, in VH113.
Office Hours
Monday 11-12
Wednesday 3:30-4-30