Spielberg's homepage

Spring 2001
MAT 573
COMPLEX ANALYSIS II

Instructor:  Jack Spielberg
Time:  MW, 1:40 - 2:55
Location:  TC-232
Line Number:  24366

Course Description:

This is a continuation of MAT 572, Complex Analysis I.  Topics that I hope 
to cover include:

(*) Series and product developments:  Weierstrass factorization theorem,
    Mittag-Leffler theorem, and applications (Gamma & Zeta functions).

(*) Analytic continuation and an introduction to Riemann surfaces.

(*) Harmonic functions and the Dirichlet problem for planar regions.

(*) The uniformization theorem for Riemann surfaces, Poincare's theorem.

If time permits, the above list may expand to include material on entire 
functions and/or the Picard theorems.

The most important prerequisite topics from MAT 572 are:  the exponential
and logarithm functions, the general version of Cauchy's formula, power and 
Laurent series expansions of analytic functions, and the maximum modulus 
theorem.  If you are interested in taking the course, but haven't taken 
MAT 573, please contact me at (96)5-3286, or at jss@math.la.asu.edu.

There will be homework assignments every 2-3 weeks, and no exams.

Textbook:
  Functions of One Complex Variable, 2nd Ed., John B. Conway, Springer-Verlag.

Additional recommended texts:  
  Complex Analysis, Lars V. Ahlfors, McGraw-Hill.
  A Primer on Riemann Surfaces, A. F. Beardon, Cambridge Univ.