Mathematics 4156a   //   9056a  
Complex Variables II   //   Complex Analysis I

Summer 2012


   Instructor:
André Boivin
    Phone: 661-2111   x86512
    Office: MC 118

   Prerequisite:
Mathematics 3124a/b or equivalent

   Textbook:
Theodore W. Gamelin, Complex Analysis, published by Springer.

   Course Outline:
The Argument Principle, Rouché's Theorem, Hurwitz's Theorem Open Mapping and Inverse Function Theorems, Critical Points, Winding Numbers, The Jump Theorem for Cauchy Integrals, Simply Connected Domains, The Schwarz lemma, Conformal Self-Maps of the Unit Disc, Hyperbolic Geometry, The Poisson Integral Formula, The Scwarz Reflection Principle, The Riemann Mapping Theorem, Marty's Theorem, Theorems of Montel and Picard, Runge's Theorem, The Mittag-Leffler Theorem, Infinite Products, The Weierstrass Factorization Theorem.

This corresponds, approximately, to Chapters VIII to XIII in the textbook:

   Evaluation of Student Performance:
70%       Assignments
30%       Class Presentation

   Assignments

 

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