MA20103: Partial Differential Equations
| MA20103 | |||||||||||||||||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Course name | Partial Differential Equations | ||||||||||||||||||||||||||||
| Offered by | Mathematics | ||||||||||||||||||||||||||||
| Credits | 3 | ||||||||||||||||||||||||||||
| L-T-P | 3-0-0 | ||||||||||||||||||||||||||||
| Previous Year Grade Distribution | |||||||||||||||||||||||||||||
| |||||||||||||||||||||||||||||
| Semester | Spring | ||||||||||||||||||||||||||||
Syllabus
Syllabus mentioned in ERP
Prerequisite: void Review of power series solution of ODE, Frobenius series, Bessel functions and Legendre polynomials. Introduction to partial differential equations, linear and quasi-linear equations of first order. Classification of integrals. Lagrange’s Method of solution and its geometrical interpretation, compatibility condition, Charpits method, special types of first order equations. Second order partial differential equations with constant and variable coefficients, classification and reduction of second order equation to canonical form., characteristics. Cauchy problem, Cauchy’s, Neumann and Dirichlet problems. Fourier series solution of wave equation, vibrations of a string. Riemann’s method for hyperbolic equation. Method of separation of variables to solve heat equation, Laplace equation, Diffusion equation. Integral transform method to solve second order partial differential equations.
Concepts taught in class
Different methods of solving Partial Differential Equations, namely the Lagrange's method, Charpit's method, canonical form of PDEs, Dirichlet problems, Fourier Wave Solution, Riemann methods, Integral Transform Methods etc.
Student Opinion
| Not a very intuitive course. Just remembering the equations, methods and the cases where a particular method is required is enough. |
How to Crack the Paper
| Being regular to classes and solving assignments provided by the course in-charge is enough. The paper pattern has remained similar over the years with a few nasty problems with very non-intuitive solutions scattered here and there. |
Classroom resources
Professors usually do not make lecture notes publicly available, but can provide you their handwritten notes on requesting. Advanced Engineering Mathematics by Erwin Kreyszig pretty much covers the entire syllabus, even the Jain & Iyengar book with the same name suffices.
Additional Resources
Time Table
| Day | 8:00-8:55 am | 9:00-9:55 am | 10:00-10:55 am | 11:00-11:55 am | 12:00-12:55 pm | 2:00-2:55 pm | 3:00-3:55 pm | 4:00-4:55 pm | 5:00-5:55 pm | |
|---|---|---|---|---|---|---|---|---|---|---|
| Monday | NR321,NR421,NC141 | |||||||||
| Tuesday | ||||||||||
| Wednesday | NR321,NR421,NC141 | NR321,NR421,NC141 | ||||||||
| Thursday | ||||||||||
| Friday |