The mission of this course is to develop a rigorous theoretical foundation in partial differential equations. Emphasizing classification, existence and uniqueness of solutions, and fundamental solution techniques, the course aims to cultivate a deep understanding of the mathematical structures underlying PDEs.
This course provides a rigorous introduction to the theory of partial differential equations, focusing on classical solution methods, analytical techniques, and the mathematical foundations underlying elliptic, parabolic, and hyperbolic equations. Students will explore canonical PDEs, boundary value problems, and fundamental principles such as existence, uniqueness, and stability of solutio
Lectures
Tests
End Semester
Major Topics
# | Topic | |
---|---|---|
1 | Monday | 8:00 - 8:50 |
2 | Wednesday | 8:00 - 8:50 |
3 | Friday | 8:00 - 8:50 |
# | Assessment | Marks | Topics |
---|---|---|---|
1 | Test 1 | 20 | Up to Topics Covered on 5th September 2025 |
2 | Test 2 | 20 | Up to Topics Covered on 8th October 2025 |
3 | End Semester | 60 | End Semester |
# | Topic | |
---|---|---|
1 | Introduction, History, Prerequisites | Lecture-1 |
2 | Preliminaries, What is PDE? | Lecture-2 |
3 | Applications | Lecture-3 |
4 | Classifications-I | Lecture-4 |
5 | Classifications-II | Lecture-5 |
6 | Method of Characteristics-I | Lecture-6 |
7 | Method of Characteristics-II | Lecture-7 |
8 | Existence and Uniqueness Theorem | Lecture-8 |
9 | Transport and Burger's Equation | Lecture-9 |
Associate Professor