MA521: Theory of Analytical Functions (Autumn 2019-20)

Course Name: Theory of Analytic Functions

Course Code: MA 521

Credits: 6

Course Instructor: Prof. Ameer Athavale

Course Type: Minor

Prerequisite: Formal: Complex Analysis of Math Department (can get it manually waived off like I did though) and Real Analysis (unlikely to be waived)

Course Content: Maximum Modulus Principle, Space of Analytic Functions, Compactness and Convergence in the space, Runge's Theorem

Other Topics: Some Aspects of simply connected sets

Useful Books: John Conway's functions on one complex variable. Prof did everything from here with only slight changes made to make the proofs and statements more easy to understand.

Lectures: Lectures were on blackboard with no attendance policy. Professor took an extra slot of 1.5 hours as well so effectively had 4.5 hours of teaching which however included detailed problem solving. I personally felt the classes were boring and slow as the prof was following section by section from the reference book and I feel the prof could have covered much more given that he was taking extra classes as well.

Assignments/Tutorials: no assignments. Some problems from the book were solved in the class itself and some were given for homework.

Exams: Exams had questions mostly from the book and questions he gave but did not solve in class

Online Study Material: wasn't needed the book was enough

Advanced Follow up Courses: Topics in geometry (the way it ran last time was on complex manifolds and this course would have been helpful for it), but the content of this course keeps changing so can't say.

Any personal comments: Do not take this course. I felt it was a waste of my time (although i did get bit too over confident and screwed up the endsem)

Respondent: Keshav Janyani