DAMP Physics, IITB

Instructor Name:  Prof.  Sudarshan Gurjar Course Type:  Core Pre-requisites:  MA105 Course Content:  Analytics functions, Cauchy-Reimann equations, harmonic functions, Power series and their properties, Elementary functions, Cauchy's theorem, Taylor series and Laurent expansions, Residues and the Cauchy residue formula, Improper integrals, Conformal mappings, Inversion of Laplace transforms Books:  R.V. Churchill and J.W. Brown, Complex variables and applications Lectures:  It is a half semester course. No attendance policy. The instructor mostly follows slides while teaching, and the slides are more than sufficient for the exams. Assignments:  The tutorial are pretty extensive and are of a good level.  Exams and Grading:  1 quiz, of weightage 10% is considered, apart from endsem.   Pro-tips:  Reading the slides and solving the tutorial sheets are enough to get a good grade for the exams. The books can be referred ...

Instructor Name:  Prof. Preeti Raman Course Type:  Core Pre-requisites:  MA 105, MA 106, MA 108 Course Content: Construction and formalism of complex numbers, algebra, differentiation, continuity, and integration( path/contour), Cauchy-Reimann theorems, holomomorphism Other Topics Covered: Singularities and zeroes, theorems to calculate contour integration in various interesting scenarios Books:  A Friendly Approach to Complex Analysis - 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 Lectures:  Very good lecture notes, Lectures twice a week 1.5 hrs each with additional 1 hr tutorial, 80% attendance compulsory Assignments: Fairly doable. a bit of thought is required but if definitions are clear, it shouldnt be a problem Exams and Grading:  1 quiz and endsem (30% - 70%) Follow up courses:  Complex analysis ...

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, p...