The curriculum will be taken from the book
L. C. Evans, Partial differential equations, AMS Graduate Studies in Mathematics, Second edition, 2010.
The lectures will be based on (subject to change)
? Chapter 1 (Introduction)
? Chapter 2 (Four important linear partial differential equations)
? 2.1 Transport equation
? 2.2 Laplace's equation
? 2.3 Heat equation
? 2.4 Wave equation
? Chapter 3 (Nonlinear first- order PDE)
? 3.2 Characteristics
? 3.3 Introduction to Hamilton-Jacobi equations