NMAK16022U CANCELLED Partial Differential Equations (PDE)
MSc Programme in Mathematics
A selection form the following list of subjects:
The classical PDE:
-Laplace's equation
-The Heat equation
-The Wave equation
Second order linear elliptic equations
-Existence of weak solutions
-Regularity
-Maximum principles
Second order linear parabolic equations
-Existence of weak solutions
-Regularity
-Maximum principles
Second order linear hyperbolic equations
-Existence of weak solutions
-Regularity
-Propgation of singularities
Non-linear PDE
-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
Competences:
- Understand the characteristics of the different types of PDE
- Understand concepts such as existence uniqueness and regularity of solutions to differential equations.
- Determine when a certain solution method applies
Skills:
- Solve classical partial differential equations
- Establish existence, uniqueness and regularity of solutions to certain differential equations
- Category
- Hours
- Exam
- 4
- Exercises
- 16
- Lectures
- 40
- Preparation
- 146
- Total
- 206
As
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- 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 min. oral exam with 30 min preparation. 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
- C
- Course capacity
- No restrictions/ no limitation
- Continuing and further education
- Study board
- Study Board of Mathematics and Computer Science
Contracting department
- Department of Mathematical Sciences
Course responsibles
- Jesper Lützen (6-7079787e6972447165786c326f7932686f)
- Jan Philip Solovej (7-75716e7178676c426f63766a306d7730666d)