MA 207 Differential Equations II (Autumn 2016-17)

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 MCQ based.
Model papers were given to get a feel for the question paper.
Solutions are put up immediately after the paper. Grading was fair. 

Pro-Tips: Practice the tut problems and read the lecture notes, not the lecture slides. Towards the end, the course gets a bit heavy, so, devote time to doing problems. Towards the end the classes also get a bit kore interesting, so, that helps.

Respondent: Hrishikesh Iyer