MAT 311 2.0 Complex Analysis

Course:  MAT 311 2.0 Complex Analysis (Compulsory)

Course Content:

Complex Numbers and Elementary Functions, Complex numbers, and their properties, Limit, continuity, and uniform continuity, Analytic Functions, Complex differentiation, The Cauchy-Riemann equations and Cauchy’s theorems, Harmonic functions Complex integration, Liouville’s theorem, Morera’s theorem and maximum modules theorem, Sequences and Series of Complex Functions. Taylor and Laurent series, Residue Theory.

Recommend Readings:

1. 1. Gamelin, T.W.(2001). Complex Analysis. Spring.
   2.  Philips, E.G. (1940). Complex Variables. Dover Books.
   3. Conway, J.B.(1970). Functions of one complex variable.Spring.
   4. Ponnusamy, S.(2011). Functions of complex Analysis. Norosa.