Complex Analysis

Catalog description

An introduction to the beautiful and powerful world of functions of a complex variable. Topics include the complex plane, limits, continuity, analytic functions, the Cauchy-Riemann equations, and the Cauchy integral theorem with its consequences. Additional topics may include power series, Taylor and Laurent series, classification of singularities, the Residue Theorem and its applications, and conformal mapping. Applications to mathematics, physics, and engineering are explored throughout. Fall of odd years. Prerequisite: A grade of C or better in ( MATH 243 and MATH 285 ) or MATH 286 or permission of instructor.