COMPLEX ANALYSIS

Syllabus Math 632

• Office Hours:
  • Ungar Building, Office 401: Tuesday 4.30-5.30pm or Thursday 4.30-5.30pm
  • Or by appointment.

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• Texts:
  • Primary text: "Complex Analysis in One Variable", Raghvan Narasimhan (& Yves Nieverg), Birkhauser Boston, 2nd Edition
  • Secondary text: "Complex Analysis", Lars V.Ahlfors, McGraw-Hill, 3rd Edition

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• Contents (for the full year):

  • Elementary Theory of Holomorphic Functions, Covering Spaces and the Monodromy Theorem, The Winding Number and Residue Theorem, Picard's Theorem, Inhomogeneous Cauchy-Riemann Equation and Runge's Theorem, Applications of Runge's Theorem, Riemann mapping theorem, A Gist of Several complex variables, Compact Riemann surfaces, Subharmonic Functions and the Dirichelt Problem

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• Grading:
  • Homework 40% and Final 60%.

  • Homework :