MAT 43143 INTRODUCTION TO COMPLEX ANALYSIS (3)

This course introduces the theory of functions of a complex variable.  Topics include the study of analytic functions, The Cauchy-Riemann equations, logarithmic and other elementary functions of a complex variable, integration of complex functions, the Cauchy integral theorem and its consequences, conformal mappings, power series expansions, residue theorem and applications of definite integrals as they related to mathematical, physics and/or engineering problems.