MA3677 Theory of Functions of a Complex Variable

Selected topics from the theory of functions of a complex variable; analytic functions, power series, Laurent series. Singularities of analytic functions; contour integration and residues; applications of residues to real integrals and Laplace transforms, zeros of analytic functions, infinite product representation for analytic functions; maximum modulus theorems for analytic and harmonic functions; conformal mapping. Applications include interference effects in optics and problems from heat flow and fluid flow.

Prerequisite

MA1115

Lecture Hours

4

Lab Hours

0

Quarter Offered

  • Fall
  • As Required