DAMP Physics, IITB

Instructor Name:  Prof. Swapneel Mahajan Course Type:  Core Pre-requisites:  MA 108, knowledge of MA 205 might help a little Course Content:  Legendre Equation and its solutions, Legendre Polynomials, Frobenious ODE and its solutions - Bessel ode and functions, fourier series and their properties, 1-D heat and wave equations and boundary conditions. 2-D wave equation (square and circular membrane) and visualisation of modes.  Books:  Boyce de Prima, Fourier Series and Boundary Value Problems, Simmons Differential Equations ( Fuch Frobenius theory is best understood from Coddington - Introduction to Differential Equations) Lectures:  Slides for the entire course. Lecture notes complete the slides and are a better reading for a thorough understanding, classes were pretty engaging and quite enjoyable.  Assignments:  Tutorials were instrumental to the understanding of the course Exams and Grading:  Exams were completely ...

Instructor Name Swapneel Mahajan Course Type Core for EP students (Half-sem) Course overview Power series method of solving linear ODEs. Frobenius method for regular singular points. Legendre equation and its solutions, Legendre Polynomials. Bessel equation, Bessel functions, Bessel expansion theorem. Fourier series and their properties, application of fourier series in solving 1-D heat and wave equations (with various boundary conditions). 2-D wave equation (square and circular domain) and visualisation of modes. Application of Bessel functions of the first and second kind. Laplace equation, and variable separation techniques to solve it. Prerequisites No formal prerequisites. However knowledge of MA 108, and MA 205 might be helpful. Credit distribution There was one quiz (30%) and one end-sem (70%), both MCQ. Feedback on Lectures Slides were used for the entire course. A separate set of lecture notes for the entire course was uploaded on the cou...