MATH 375

Complex Variables

4 Undergraduate credits
Effective August 24, 2002 – Present

Graduation requirements this course fulfills

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

Learning outcomes


  • Understand and apply conformal mappings.
  • Understand complex-variable calculus, including the Cauchy-Riemann equations and the Cauchy-Goursat Theorem.
  • Understand the basic theory of complex numbers.
  • Understand the theory of convergence of series, including power series.