Prerequisite(s):
MAA 5228 or C.I.
Textbook(s):
L.-S. Hahn and B. Epstein, Classical Complex Analysis, Jones and Bartlett, Sudbury, Massachusetts, 1996.
J. Gilman, I. Kra, and R. Rodriguez, Complex Analysis in the Spirit of Liman Bers, Springer, 2nd Edition.
H. Roydan, P. Fitzpatrick, Real Analysis, Pearson, 3rd Edition.
Description:
Complex plane, analytic functions, harmonic functions, Cauchy’s theorem and integral formula, maximum modulus principle, Laurent series, singularities, the residue theorem.