MA 207: Differential Equations 2 (2018-19)

Course Instructor: Swapneel Mahajan

Course Name: MA 207: Differential Equations 2
Credits: 6
Course Type: Core
Prerequisites:MA106 and MA108 are informal prerequisites.
Course Content: 
Existence and uniqueness theorems for linear second order ODEs ,power series and frobenius methods of solving linear ODEs, Legendre equation and properties of its solutions,  Bessel equation  and properties of its solutions, fourier series, Heat equation and wave equations in 1 and  2 dimensions ( polar and cartesian coordinates for the latter), laplace equation, eigenvalues and eigen functions of the laplacian operator on the unit sphere.
Books: The recommended list included Elementary differential equations by Boyce and DiPrima and Fourier series and boundary value problems by Churchill and Brown

Lectures: Half semester course with the standard attendance policy. Lectures were very interesting . The prof also uploaded lecture notes (apart from the slides) which went into more depth than the slides . The lecture notes were excellent yet concise and more than enough for the tests. Slides alone however were not enough.

Assignments:  Weekly tutorials (duration one and a half hours ) . Problems were straightforward, but a lot of calculation was involved.
Exams: 1 quiz with a roughly 33% weightage, rest for endsem. All exams were multiple choice and moderately difficult. The grading was strict.

Pro Tips: The second half of the course (PDE part) relies mainly on the concepts discussed in the first half (ODE part), so a good understanding of the latter is really all that is required to score high in this course. There is also plenty of computation involved in most of the questions, so it helps to solve the tutorial problems.


Respondent: Vijay Nenmeli

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