MA 205 - Complex Analysis, Autumn 2016-17

Instructor Name Preeti Raman

Course Type Core for EP students (Half-sem)

Course overview

Construction and formalism of complex numbers, algebra of complex numbers, differentiation, continuity, Cauchy-Riemann(CR) conditions, holomorphism, singularities and zeroes, contour integration, Cauchy residue theorem, theorems to calculate contour integration in various interesting scenarios and applications of the same to evaluation of real integrals

Prerequisites

No formal prerequisites. Informal: MA 105, MA 106, MA 108.

Credit distribution

1 quiz (30%) and 1 endsem (70%)

Feedback on Lectures

Very good lecture notes. Lectures twice a week (1.5 hrs each) with additional 1 hr tutorial. 80% attendance compulsory.

Feedback on tutorials, assignments and exams

Assignments were fairly doable; most of the problems rely on a clear understanding of the definitions.

Relevant References

A Friendly Approach to Complex Analysis by Dr. Amol Sasane - very concise, precise with solved exercises and the exact amount of formalism required for a first course in complex analysis, ideal for a half semester course

Advanced follow-up courses

The complex analysis course (MA 412) in the maths department

Pro-tips

Attend all the lectures and the tutorials. Pay attention to definitions.

Personal comments

It’s a very nice course. If done the right way, it’s very enjoyable and will give a fresh new feel to analysis and complex numbers.

Respondent Amey P Gaikwad

Note: This is a review to help you make a more informed choice about how to study for this course and/or choosing this course. While we've tried to keep it objective and complete, one must keep in mind that students have varying interests, methods of study, and the course itself changes from year to year.