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