Partial Differential Equations

Language of Instruction

English

Pre-requirements

None

Learning Outcomes

After completing the course, students will be able to:

• Derive partial differential equations from physical principles.
• Understand the qualitative differences between elliptic, parabolic and hyperbolic equations.
• Understand what kind of combinations of boundary conditions and initial values ¿¿gives well-posed problems.
• Understand and write simple mathematical proofs.
• Apply theorems showing convergence of functions in different norms.

Contact Information

advice@mi.uib.no

Course offered (semester)

Autumn

Language of Instruction

English

Aim 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

After completing the course, students will be able to:

• Derive partial differential equations from physical principles.
• Understand the qualitative differences between elliptic, parabolic and hyperbolic equations.
• Understand what kind of combinations of boundary conditions and initial values ¿¿gives well-posed problems.
• Understand and write simple mathematical proofs.
• Apply theorems showing convergence of functions in different norms.

Pre-requirements

None

Recommended previous knowledge

MAT131 Differential Equations I and MAT212 Functions of Several Variables

Assessment methods

Oral examination

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.

Contact Information

advice@mi.uib.no