In this introductory Partial Differential Equations (PDE) course , we shall emphasize the mathematical modeling of important physical phenomenon in terms of PDE, deriving the formula of the solutions of several important linear and nonlinear PDE.
The textbook will be
Walter Strauss : Partial Differential Equations, An Introduction.
The grading policy is
Homework: 20%
Midterm Exam.: 40%
Final Exam.: 40%
The syllabus:
Chapter 1: Where PDEs come from.
Chapter 2: Waves and Diffusions
Chapter 3: Reflections and Sources
Chapter 4: Boundary Problems
Chapter 5: Fourier Series
Chapter 6: Harmonic Functions
Chapter 7: Green's identity and Green's Functions
Chapter 8 : Computation of Solutions