Complex Analysis I The Cauchy-Riemann Equations, linear fractional transformations and elementary conformal mappings, Cauchy's theorems and its consequences, including Morera's theorem, Taylor and Laurent expansions, maximum principle, residue theorem, argument principle, Rouche's theorem and Liouville's theorem. MATH 8150 carries 3 credit hours; students are also expected to sign up for MATH 8155 for 1 credit hour. Credit Hours: 4 Corequisites: MATH 8155
