Exercises
Fr
10:15 - 12:00
Exercises Introduction to PDE
Tutor: Bernhard Kepka
The exercise sessions will be held as follows:
- 10h15 in Y27H25 on 20.2., 6.3., 20.3.,...
- 16h00 in Y27H12 on 27.2., 13.3.,...
Each lecture will be accompanied by a problem set that revisits and expands on a selection of topics from the lecture. These exercises will be discussed in the exercise session on Fridays, according to the following two-week rhythm:
- The context of each exercise, and possibly hints towards its solution, are given.
- You have one week to work on solutions and hand them in.
- Another week later, solutions are discussed in the exercise session.
While you are not required to hand in solutions, you are encouraged to do so. Irrespective of this, over the course of the semester you will have to present (at least) two problems and their solution in the exercise sessions.
Details
For further information please contact: Prof. Dr. Klaus Widmayer
This course offers an introduction to some prototypical, mostly linear, partial differential equations (PDE). We will discuss key features of solutions to transport, Poisson/Laplace, heat and wave equations. The focus hereby will be on a rigorous understanding of different behaviors, without appealing to or developing functional analytic tools.
Literature
The two main references for this course are the books
- "Partial Differential Equations" by Gerald Teschl (available here)
- "Introduction to Partial Differential Equations" by David Borthwick (available here)
Further recommended books include
- "Partial Differential Equations - An Introduction" by Walter A. Strauss
- "Partial Differential Equations" by Lawrence C. Evans
- "Introduction to Partial Differential Equations" by Peter J. Olver
Exam
The exam will be oral, 30 minutes duration. Topics include all material from the lecture and the exercises. (Active participation in the exercise session is thus highly encouraged.)
