NMAK16022U Partial Differential Equations (PDE)
MSc Programme in Mathematics
A selection from the following list of subjects:
The classical PDEs:
- Laplace's equation
- The heat equation
- The wave equation
Second order linear elliptic PDEs:
- Existence of weak solutions
- Regularity
- Maximum principles
Second order linear parabolic PDEs:
- Existence of weak solutions
- Regularity
- Maximum principles
Second order linear hyperbolic PDEs:
- Existence of weak solutions
- Regularity
- Propagation of singularities
Nonlinear PDEs:
- The Calculus of Variations
- Fixed point methods
- Method of sub-/supersolutions
- Non-existence of solutions
Knowledge:
The properties of the PDEs covered in the course
Competencies:
- Understand the characteristics of the different types of PDEs
- Understand concepts such as existence, uniqueness and regularity of solutions to PDEs
- Determine when a certain solution method applies
Skills:
- Solve classical PDEs
- Establish existence, uniqueness and regularity of solutions to certain PDEs
See Absalon for a list of course literature
Analyse 0 (An0),
Analyse 1 (An2) and
Lebesgueintegralet og målteori (LIM) - alternatively Analyse 2 (An2) from previous years.
Additionally, it might be helpful to have had some exposure to the material from a more advanced Analysis course, f.ex. one of either FunkAn or DifFun.
Academic qualifications equivalent to a BSc degree is recommended.
- Category
- Hours
- Lectures
- 40
- Preparation
- 146
- Exercises
- 16
- Exam
- 4
- Total
- 206
- Credit
- 7,5 ECTS
- Type of assessment
- Written examination, 4 hours under invigilation---
- Aid
- All aids allowed
- Marking scale
- 7-point grading scale
- Censorship form
- No external censorship
One internal examiner.
- Re-exam
As ordinary exam.
If ten or fewer students have signed up for re-exam, the type of assessment will be changed to a 30 minutes oral exam with 30 minutes preparation time. All aids allowed during preparation time, none for the examination. Several internal examiners.
Criteria for exam assesment
The student must in a satisfactory way demonstrate that he/she has mastered the learning outcome of the course.
Course information
- Language
- English
- Course code
- NMAK16022U
- Credit
- 7,5 ECTS
- Level
- Full Degree Master
- Duration
- 1 block
- Placement
- Block 1
- Schedule
- B
- Course capacity
- No limit
- Course is also available as continuing and professional education
- Study board
- Study Board of Mathematics and Computer Science
Contracting department
- Department of Mathematical Sciences
Contracting faculty
- Faculty of Science
Course Coordinators
- Niels Martin Møller (NMoller@math.ku.dk)