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 40 marks Assignments 10 marks Final Exam 50 marks Total 100 marks Top of the page Past Exams

Midterm 09.pdf 10.pdf 11.pdf 12.pdf 13.pdf 14.pdf 15.pdf 16.pdf 17.pdf 18.pdf 19.pdf 20.pdf 23.pdf 24.pdf Solutions 09.pdf 10.pdf 13.pdf 15.pdf 17.pdf 18.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 18.pdf 19.pdf 20.pdf 21.pdf 22.pdf 23.pdf Solutions 09.pdf 10.pdf 13.pdf 15.pdf 16.pdf 17.pdf 18.pdf Supplementary and Back Paper 05.pdf 10.pdf 12.pdf 13.pdf 14.pdf 15.pdf 21.pdf Top of the page

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