MAT 504E - Complex Analysis

Course Objectives

1. To teach the basic topics of Complex Analysis,
2. To teach the basic methods of proof and to develope the ability to solve theoretical problems.

Course Description

The Complex Number System: The Extended Plane,
Metric Spaces and the Topology of Complex Number System,
Elemetary Properties and Examples of Analytic Functions,
Complex Integration, Singularities: Residues, The Argument Principle, The Maximum Modulus Theorem,
Compactness and Convergence in the Space of Analytic Functions: The Riemann Mapping Theorem.