Course information
| Instructor: | İbrahim Ünal |
| Classes: | Mon 08:40-10:30 and Wed 10:40-12:30 in M-13 |
| Office-Hours: | Wed 08:40-10:30 in M-241 |
| Assistant: | Sadık Terzi (Office Hours: Tue 15:00-17:00 in Z-42) |
| Textbook 1: | Walter A. Strauss "Partial Differential Equations" 2. Ed. |
| Textbook 2: | Ian Sneddon "Elements of Partial Differential Eqns." |
Course Content
First order equations; linear, quasilinear and nonlinear equations. Classification of second order linear partial differential equations, canonical forms. The Cauchy problem for the wave equation. Dirichlet and Neumann problems for the Laplace equation, maximum principle. Heat equation on the strip.
Grading
| Midterm 1 | 35% | March 13th, Friday at 17:40 | |
| Midterm 2 | 35% | April 10th, Friday at 17:40 | |
| Final | 50% | TBA |
Syllabus
- Basic definitions. Examples of p.d.e. Comparison with o.d.e.
- First order equations : linear, quasi-linear, non-linear equations*.
- Basics of the second order equations : characteristics, classification, canonical forms.
- Cauchy problem for the wave equation.
- Dirichlet and Neumann problems for the Laplace equation.
- Maximum principle. Poisson's formula. Existence results.
- Heat equation. The heat kernel*. * if time permits.
Exercises
| Problem Sheet 1 ● | Problem Sheet 1.5 ● |