This course is intended for any student in Complex Analysis. It will cover most of chapters 1-12 of the text with some supplemented material. There will be homework sets and exams.

Topics to be considered: Complex numbers and complex-valued functions of one complex variable; differentiation and contour integration; Cauchy's theorem; Taylor and Laurent series; residues; conformal mapping; special topics.

If time permits, we will also investigate Riemann surfaces; convergence theorems; infinite products; linear fractional transformation; Riemann mapping theorem; Picard’s theorems.