Instructor: | Marcel Oliver |
Email: | m.oliver@jacobs-university.de |
Phone: | 200-3212 |
Office hours: | Tu, Th 11:15 in Research I, 107 |
Grader: | Mahmut Çalik |
Email: | m.calik@jacobs-university.de |
Lectures: | We, Fr 9:45 in East Hall 3 |
Homework: | 20% |
Presentation: | 10% |
Midterm Exam: | 30% |
Final Exam: | 40% |
01/02/2011: | Introduction; linear transport equation |
03/02/2011: | Laplace equation, fundamental solution |
08/02/2011: | Poisson equation, mean value formulas |
10/02/2011: | Harmonic functions: maximum principle, uniqueness for solutions to the Poisson equation, regularity |
15/02/2011: | Harmonic functions: analyticity |
17/02/2011: | Harmonic functions: Liouville's theorem, Harnack's inequality |
22/02/2011: | Dirichlet problem, Green's functions |
24/02/2011: | Green's function for the half-space; energy methods |
01/03/2011: | Heat equation: fundamental solution, solution formulas |
03/03/2011: | Mean value formulas for the heat equation, maximum principle |
08/03/2011: | Maximum principle on unbounded domains |
10/03/2011: | Regularity |
15/03/2011: | Energy methods, backward uniqueness |
17/03/2011: | Wave equation: D'Alembert's formula, energy methods |
22/03/2011: | Midterm review |
24/03/2011: | Midterm Exam |
29/03/2011: | Midterm return and discussion |
31/03/2011: | Introduction to scalar conservation laws (begin) |
05/04/2011: | |
07/04/2011: | |
12/04/2011: | |
14/04/2011: | |
26/04/2011: | |
28/04/2011: | |
03/05/2011: | |
05/05/2011: | Presentation |
10/05/2011: | Presentation |
12/05/2011: | Review for final exam |
TBA: | Final Exam |