Partial Differential Equations
Postgraduate course
- ECTS credits
- 10
- Teaching semesters Autumn
- Course code
- MAT234
- Number of semesters
- 1
- Teaching language
- English
- Resources
- Schedule
- Reading list
Course description
Objectives and Content
The course includes initial and boundary value problems for PDEs of first and second order, and includes, to a limited extent, systems of such equations. Emphasis is on the qualitative behaviour of solutions.
Learning Outcomes
On completion of the course the student should have the following learning outcomes defined in terms of knowledge, skills and general competence:
Knowledge
The student
- Has an understanding of the qualitative difference between elliptic, parabolic and hyperbolic equations.
- Understands which combinations of boundary values and initial values lead to well posed problems
Skills
The student
- is able to derive partial differential equations from the underlying physical principles
- can apply theorems which guarantee convergence of series of functions in various norms
General competence
The student
- is able to understand and devise mathematical proofs
Semester of Instruction
Autumn
Required Previous Knowledge
None
Recommended Previous Knowledge
Credit Reduction due to Course Overlap
M217: 9 ECTS
Compulsory Assignments and Attendance
Forms of Assessment
Written exam 4 hours
Grading Scale
The grading scale used is A to F. Grade A is the highest passing grade in the grading scale, grade F is a fail.
Examination Support Material
No support materials allowed