Course Archives Theoretical Statistics and Mathematics Unit
Course: Complex Analysis
Instructor: Jaydeb Sarkar
Room: G23
Level: Undergraduate
Time: Currently offered
Syllabus
Past Exams


Syllabus: Holomorphic functions and the Cauchy-Riemann equations, Power series, Functions defined by power series as holomorphic functions, Complex line integrals and Cauchys theorem, Cauchys integral formula. Representations of holomorphic functions in terms of power series. Zeroes of analytic functions, Liouvilles theorem, The fundamental theorem of algebra, The maximum modulus principle, Schwarzs lemma, The argument principle, The open mapping property of holomorphic functions. The calculus of residues and evaluation of integrals using contour integration.

Reference Texts:
1. D. Sarason: Notes on Complex Function Theory
2. T. W. Gamelin: Complex Analysis
3. J. B. Conway: Functions of one complex Variable

Evaluation:
Midterm Exam 35 marks
Assignment 15 marks
Final Exam 50 marks
Total 100 marks


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Past Exams
Midterm
09.pdf 10.pdf 11.pdf 12.pdf 13.pdf 14.pdf 15.pdf 16.pdf 17.pdf 18.pdf
Solutions
09.pdf 10.pdf 13.pdf 15.pdf 17.pdf
Semestral
03.pdf 05.pdf 06.pdf 07.pdf 09.pdf 10.pdf 11.pdf 12.pdf 13.pdf 14.pdf 15.pdf 16.pdf 17.pdf
Solutions
09.pdf 10.pdf 13.pdf 15.pdf 16.pdf 17.pdf
Supplementary and Back Paper
05.pdf 10.pdf 12.pdf 13.pdf 14.pdf 15.pdf

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[ Semester Schedule ][ SMU ] [Indian Statistical Institute]