Estb. 1882

University of the Punjab

MATH-303 Complex Analysis-I

The Concept of Analytic Functions  Complex numbers, complex planes, complex functions
 Analytic functions  Entire functions
 Harmonic functions  Elementary functions: complex exponential, logarithmic and hyperbolic functions Infinite Series  Power series, derived series, radius of convergence  Taylor series and Laurent series Conformal Representation
 Transformation, conformal transformation
 Linear transformation
 Möbius transformations Complex Integration  Complex integrals
 Cauchy-Goursat theorem
 Cauchy’s integral formula and their consequences
 Liouville’s theorem
 Morera’s theorem
 Derivative of an analytic function
Credit hours/ Marks:- 3

Reference Books

Download Course-Outline