Partial Differential Equations

M-Math Course, ISI Bangalore

Offered: Jan-April 2025

Topics Covered:

• First order PDE (Method of Characteristics)
• Classification of Second order PDE
• Laplace, Heat and Wave Equation
• Introduction to Sobolev spaces and weak solutions.

Reference Books:

• L C Evans :- Partial Differential Equations
• A K Nandakumaran and P S Datti :- Partial Differential Equations - Classical Theory with a Modern Touch
• Fritz John :- Partial Differential Equations
• G.B Folland :- Introduction to Partial Differential Equations

Materials:

• Assignment 1, Assignment 2, Assignment 3, Assignment 4, Assignment 5, Assignment 6, Assignment 7
• Midterm Exam
• Final Exam
• Supplementary Exam