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Metro State University (Home)

MATH 375 Complex Variables

Starting with an introduction to the complex plane, this course covers holomorphic functions and power series, Cauchy's Theorem, contour integration and its applications.

Prerequisites

Special information

Note: Students whose prerequisites are not identified by the system should contact the Math and Statistics Department for an override at MATH@metrostate.edu.
4 Undergraduate credits

Effective August 24, 2002 to present

Meets graduation requirements for

Learning outcomes

General

  • Apply conformal mappings and analyze their properties.
  • Use fundamental theorems in complex-variable calculus, including the Cauchy-Riemann equations and Cauchy¿s Theorem.
  • Describe the topology and arithmetic of the complex numbers and describe properties of functions of a complex number.
  • Determine the convergence of complex series, including power series.