MAT 4280 - Functions of a Complex Variable (4)

Algebra, geometry, and topology of complex numbers; limits of complex functions, complex functions as mappings, continuity; multivalued functions and branches; complex differentiability and analyticity, harmonic functions; differentiation of power series functions; definition and properties of the elementary functions; contour integration and the Cauchy integral theorems; the maximum modulus principle; Taylor and Laurent series; the residue theorem; conformal mapping; the argument principle; applications to problems in mathematics, physics, and engineering at the discretion of the instructor.

Prerequisite(s): MAT 3140 and MAT 2140; MAT 314 and MAT 2140; MAT 3140 and MAT 215; or MAT 314 and MAT 215.
Component(s): Lecture
Grading Basis: Graded Only
Repeat for Credit: May be taken only once