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
Learning outcomes
General
- 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.