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

Midterm Exam 40 marks
Assignment 10 marks
Final Exam 50 marks
Total 100 marks

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Past Exams
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Supplementary and Back Paper
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[ Semester Schedule ][ SMU ] [Indian Statistical Institute]