Partial Differential Equations

Postgraduate course

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:


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


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


Required Previous Knowledge
Recommended Previous Knowledge
MAT131 Differential Equations I and MAT212 Functions of Several Variables
Credit Reduction due to Course Overlap
M217: 9 ECTS
Forms of Assessment
Written exam 4 hours. Available aids: none.
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.