MTH 5130 Theory of Complex Variables

Credit Hours: 3

Topology of the complex plane, analytic functions, Cauchy’s integral formula, Liouville’s theorem, maximum modulus theorem, Taylor and Laurent series, singularities, residue theorem, analytic continuation, entire functions, infinite product representation and conformal mapping.
Background knowledge equivalent to MTH 2201 Differential Equations/Linear Algebra and MTH 4101 Introductory Analysis.