MA 205 Complex Analysis
Course Instructor : Prof. U K Anandavardhanan Course Name: Complex Analysis MA 205 Course Type: Core(Theory) Credits: 4 Pre-requisites: MA 105 (Calculus) being an informal pre-requisite. Course Content: Complex numbers and why are they interesting, limits, continuity and differentiability, Cauchy-Riemann equations, harmonic functions, power series, exponential function, logarithmic function, integration, Cauchy's theorem, Cauchy Integral Formula, holomorphic and analytic functions, Cauchy's estimate, Liouville's theorem, entire functions, Fundamental Theorem of Algebra, Morera's theorem, isolated roots theorem, Identity theorem, singularities, Laurent series, Cauchy Residue Theorem, Riemann Removal Singularities Theorem, real integrals and contour integration, Maximum Modulus Theorem. Conformal mappings were a part of the prescribed syllabus, but could NOT be covered due to time constraints. Books: Didn't refer to any book in particular, wasn't required to b...