Courses: MAT234 Partial Differential Equations - Spring 2021

Language of Instruction

English

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

Recommended Previous Knowledge

MAT131 Differential Equations I and MAT212 Functions of Several Variables

Compulsory Assignments and Attendance

Forms of Assessment

Written exam.

Due to the measures taken to avoid the spread of Covid-19, UiB is closed for on-campus assessment. As a consequence, the following changes is made to assessment autumn semester 2020:

Written home examination instead of written 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.

Subject Overlap

Contact Information

advice@mi.uib.no