Class timing: Monday, 8.45 am--9.40 am

Tuesday, 12.25 pm--1.20 pm

Friday, 11.15 am--12.05 pm

Email: ratnap@iiserbpr.ac.in

Recommended books: 1. John B. Conway, Functions of one Complex Variable, Springer, 1978.

2. Lars Ahlfors, Complex Analysis, McGrawHill, 1979.

Pre-requisites: MTH 303: Real Analysis I.

Topics to be covered: Complex numbers, stereographic projection, holomorphic functions, Cauchy-Riemann equations, power series representation of holomorphic functions, countour integrals, Cauchy's integral formula, Liouville’s theorem, fundamental theorem of algebra, open mapping theorem, maximum-modulus principle, isolated singularities, residue theorem, the argument principle, Rouche's theorem, Mobius transformation, conformal mappings, Schwarz lemma, automorphisms of disc, normal families, Montel’s theorem, the Riemann mapping theorem.

Grading scheme: to be announced.

Announcement: First class will be held on August 28, 2020.