MA 205: Complex Analysis (2018-19)

Course Instructor: B.K. Das

Course Name: MA 205: Complex Analysis
Credits: 6
Course Type: Core
Prerequisites: 

Formal:none
Informal:MA105

Course Content: 

Limits and continuity in the complex field, conditions for differentiability, harmonic functions, holomorphicity, power series and convergence tests,  elementary analytic functions,  contour integrals, Cauchy's theorems ,integral formula and estimate, Liovelle's theorem, zeroes and singularities, Laurent series, residue theorem, evaluating real integrals using contour integration, maximum modulus theorem, conformal maps  Picard's theorems and Rouche's theorem.

Books: Functions of a complex variable by John Conway
Lectures: Half semester course with no attendance policy. Lecture slides were comprehensive and enough for the exams.

Assignments:  Weekly tutorials (with duration varying from an hour to an hour and a half ). The tutorial problems were moderately difficult and covered all the topics taught in the class.

Exams: 30% quiz 70% midsem. The difficulty level varied from easy in the quiz to difficult in the midsem. 
Pro Tips: The topic has a lot of terminology, and theorems . Frequent revision of concepts covered really helps for this course.  As mentioned, the problems were not too easy so solving problems (apart from the tutorial problems ) is also quite beneficial.

Respondent: Vijay Nenmeli