TEW - Partial Differential Equations and Their Applications
Speakers and Syllabus
| S. No. | Name | Affiliation | Number of Lecture hours (L) and Tutorial hours (T) |
| 1 | Prof. Mani Mehra (Main Speaker-1) |
Professor, Department of Math-ematics, IIT, Delhi, India |
9 L + 6T |
| 2 | Prof. K. Sreenadh (Main Speaker-2) |
Professor, Department of Math-ematics, IIT, Delhi, India |
9 L + 6T |
| 3 | Shadab Ali (Tutor-1) |
Research Scholar, Department of Mathematics, Jamia Millia Is- lamia, Delhi, India |
6T |
| 4 | Dr. Mohammad Prawesh Alam (Tutor-2) |
Guest Faculty, Department of Mathematics, NIT Kurukshetra, Haryana, India |
6T |
Course Contents
| Topic | Number of lecture hours | Number of tutorial hours | Syllabus to be covered | Name of the Speaker |
| Partial Differential Equations | 9 | 6 | Introduction to first order PDEs and their classifi-cation, Method of characteristics, Cauchy problemwith Dirichlet and Neumann conditions. Heat equation: Fundamental solution, Initial value problem and properties of solutions. Temperature distribution in a finite rod with prescribed physical conditions at the ends, Applications. |
Prof. Mani Mehra, IIT, Delhi |
| Partial Differential Equations | 9 | 6 | Wave equation: Vibrating string. Wave equation inone space dimension: D’Alembert’s formula, Non-homogeneous equation. Duhamel’s principle, Applications. Existence theory for elliptic PDEs, Fundamental solutions, Existence and uniqueness of solutions, Maximum principles, Applications. | Prof. K. Sreenadh, IIT, Delhi |
Reference Books:
(1) Beginning Partial Differential Equations by Peter V. O. Neil.
(2) Elementary Partial Differential Equations by Paul W. Berg and James. L. McGregor.
(3) Partial Differential Equations: An Introduction by Walter A. Strauss.
(4) Partial Differential Equations by Lawrence C. Evans.
Time Table
Tentative Schedule
9th December 2024 to 14th December 2024
| Day | Date | Lecture 1 09:30 AM to 11:00 AM |
11:00 to 11:30 AM |
Lecture 2 11:30 AM to 01:00 PM |
Break 01:00 PM to 02:00 PM |
Discussion/ Tutorial 02:00 PM to 03:00 PM |
03:00 PM to 03:30 PM |
Discussion/ Tutorial 03:30 PM to 04:30 PM |
04:30 PM to 05:00 PM |
| Mon | 09-12-2024 | MM(L) | T E A | KS(L) | LUNCH | MM + SA (T) | T E A | KS + MP(T) | S |
| Tue | 10-12-2024 | MM(L) | KS(L) | MM + SA (T) | KS + MP(T) | N | |||
| Wed | 11-12-2024 | MM(L) | KS(L) | MM + SA (T) | KS + MP(T) | A | |||
| Thu | 12-12-2024 | MM(L) | KS (L) | MM + SA (T) | KS + MP(T) | C | |||
| Fri | 13-12-2024 | MM(L) | KS (L) | MM + SA (T) | KS + MP(T) | K | |||
| Sat | 14-12-2024 | MM(L) | KS (L) | MM + SA (T) | KS + MP(T) | S |