MT 460 Complex Variables (Spring: 3)
Prerequisite:
MT 202 and MT 210
This course gives an introduction to the theory of functions of a complex
variable, a fundamental and central area of mathematics. It is intended
for mathematics majors and well-prepared science majors. Topics covered
include: complex numbers and their properties, analytic functions and the
Cauchy-Riemann equations, the logarithm and other elementary functions of
a complex variable, integration of complex functions, the Cauchy integral
theorem and its consequences, power series representation of analytic functions,
and the residue theorem and applications to definite integrals.
Last Updated: 30-JAN-12