I. Contents：
1. Laplace’sHeat and Wave equation
2. First-Order Nonlinear PDE
3. Similarity solutions and Fourier transform

II. Course prerequisite：
1. Advanced Calculus
2. Complex variables
3. Linear Algebra

III. Reference material ( textbook(s) )：
1. Partial Differential Equations by L.C.Evans, AMS
2. Partial Differential Equations by F. John, Springer-Verlag
3. Methods of Mathematical Physics (Vol.1,2) by R. Courant and D. Hilbert

IV. Grading scheme：
1. Homework 50%
2. Final 50%

Others：
Both graduate and undergraduate students are welcome!