Partial Differential Equations
(dt. Partielle Differentialgleichungen)
|Level, degree of commitment in original study programme||Advanced module, compulsory elective module|
|Forms of teaching and learning,
|Lecture (4 SWS), recitation class (2 SWS), |
270 hours (90 h attendance, 180 h private study)
Course requirement: Successful completion of at least 50 percent of the points from the weekly exercises.
Examination type: Written or oral examination
|German,The grading is done with 0 to 15 points according to the examination regulations for study course M.Sc. Mathematics.|
|Original study programme||M.Sc. Mathematik / Vertiefungsbereich Mathematik|
|One semester, |
Regelmäßig im Wechsel mit anderen intermediate moduleen im Gebiet Analysis
|Person in charge of the module's outline||Prof. Dr. Ilka Agricola, Prof. Dr. Stephan Dahlke, Prof. Dr. Pablo Ramacher|
- classical partial differential equations (Laplace equation, wave equation, heat equation)
- distributions, fundamental solutions of differential operators, Sobolev spaces
- weak solutions, boundary value problems for partial differential equations
The students shall
- Learn about and be able to use differential equations as a means of mathematical modeling,
- Apply results from functional analysis to the systematic theory of partial differential equations,
- practice mathematical working methods (development of mathematical intuition and its formal justification, training of the ability to abstract, proof techniques),
- improve their oral communication skills in the exercises by practicing free speech in front of an audience and during discussion.
None. The competences taught in the following modules are recommended: either Linear Algebra I and Linear Algebra II or Basic Linear Algebra or Linear Algebra incl. Foundations of Mathematics, either Analysis I and Analysis II or Basic Real Analysis or Analysis I and Analysis II.
- Lawrence Evans, Partial differential equations. AMS, 1998.
- G.B. Folland, Introduction to Partial Differential Equations,
- Princeton University Press, 1995.
This page describes a module according to the latest valid module guide in Wintersemester 2022/23. Most rules valid for a module are not covered by the examination regulations and can therefore be updated on a semesterly basis. The following versions are available in the online module guide:
- WiSe 2016/17 (no corresponding element)
- SoSe 2018 (no corresponding element)
- WiSe 2018/19
- WiSe 2019/20
- WiSe 2020/21
- SoSe 2021
- WiSe 2021/22
- WiSe 2022/23
The module guide contains all modules, independent of the current event offer. Please compare the current course catalogue in Marvin.
The information in this online module guide was created automatically. Legally binding is only the information in the examination regulations (Prüfungsordnung). If you notice any discrepancies or errors, we would be grateful for any advice.