MATH 236 - Partial Differential Equations I

Sofia Kovalevskaya

Stephan Banach

Suggested Textbook

I will refer in my lectures to the following textbooks:

• Lawrence C. Evans, Partial Differential Equations, Springer
• Victor Ivrii, Partial Differential Equations, University of Toronto

Syllabus

1. First order linear PDEs
2. Laplace equation
3. Maximum principle
4. Poisson equation, Green functions
5. Heat equation
6. Functional spaces
7. Wave equation
8. Energy methods
9. Fourier transform and distributions
10. Weak solutions

Other free texts in pdf

• E Miersemann, Partial Differential Equations, Leipzig University
• J. Hunter, Notes on Partial Differential Equations, UCDavis

Homework

Graded Homework will be assigned weekly.

Video lectures

Here are a few series of very well done Video Lectures you might use in case you feel the need of hearing more about any of the topics we are going to cover:

• PDEs Lecture Videos from ICTP

Lectures log

Week	Day	Sections	Topics	Exercises
1	16 Jan	Ch 1	Introduction to the course.