Partial Differential Equations

Teaching semester

Autumn

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

Required Previous Knowledge

None

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.

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.