MA4080 Partial Differential Equations
The prescribed Syllabus and References
But we might follow some other material as well, which will be informed in the class and will be updated in the website as well.
| S.No |
Date |
Topic |
Material |
Assignment |
| 1 |
Jan 05 |
Introduction to PDE |
G1-2 |
| 2 |
Jan 07 |
Comparison between ODE and PDE and general form of PDE |
G3 |
| 3 |
Jan 12 |
Quasilinear, Semi-linear, Linear and non-linear PDE |
G3-5 |
| 4 |
Jan 13 |
Classification of second order linear PDE |
G65-74 |
| 5 |
Jan 14 |
Canonical forms |
T91-99 |
G6 |
| 6 |
Jan 19 |
Wave equation , Cauchy problem, initial value problem and charateristics |
G81-83 |
| 7 |
Jan 21 |
D Alembert's solution |
G83-85 |
| 8 |
Jan 22 |
Separation of variables |
G109-113 |
| 9 |
Jan 28 |
Riemann (Green) method |
T142-149 |
| 10 |
Feb 2 |
Properties of wave equation solution |
|
| 11 |
Feb 9 |
Laplace equation : Boundary conditions, Harmonic function and Maximum principle |
T329-332 |
| 12 |
Feb 11 |
Dirichlet: Uniqueness and stability, Neuman: Necessary and Uniqueness |
T333-334, A101-106 |
| 13 |
Feb 12 |
|
|
| 13 |
Feb 16 |
|
|
| 13 |
Feb 18 |
|
|
| 13 |
Feb 19 |
|
|
References
- [F] John F., Partial Differential Equations, 2nd Edition, Springer-Verlag.
1981.
- [I] Ian Sneddon, Elements of Partial Differential Equations, Dover Publications, 2006.
- [T] Tyn MynT, U., and Loknath Debnath: Partial Differential Equations for
Scientists and Engineers, North Holland Publisher, 3rd Edition, 1987.
- [Z] Zachmanoglou, E.C. and Thoe, D.W., Introduction to Partial Differential
Equations with Applications. Dover Publications, 1987
- [A] Amarnath, T., An Elementary Course in Partial Differential Equations. Narosa,2nd Ed 2003
- [G] S. Sivaji Ganesh, Lecture Notes