MAT-INF3300 – Partial differential equations and Sobolev spaces I

Course content

Classical theory of linear partial differential equations, the heat equation, the Laplace equation, the wave equation. Greens functions. Sobolev spaces, Poincare`s inequallities.

Learning outcome

Understanding of the classical theory for solving partial differential equations. Basic ability in the use of Sobolev estimates.

Admission

Students who are admitted to study programmes at UiO must each semester register which courses and exams they wish to sign up for in Studentweb.

If you are not already enrolled as a student at UiO, please see our information about admission requirements and procedures.

Prerequisites

Formal prerequisite knowledge

In addition to fulfilling the Higher Education Entrance Qualification, applicants have to meet the following special admission requirements:

  • Mathematics R1 (or Mathematics S1 and S2) + R2

And in addition one of these:

  • Physics (1+2)
  • Chemistry (1+2)
  • Biology (1+2)
  • Information technology (1+2)
  • Geosciences (1+2)
  • Technology and theories of research (1+2)

The special admission requirements may also be covered by equivalent studies from Norwegian upper secondary school or by other equivalent studies (in Norwegian).

Recommended previous knowledge

MAT1100 – Calculus, MAT1110 – Calculus and Linear Algebra, MAT1120 – Linear Algebra and MAT-INF1310 – Ordinary differential equations (discontinued). It will be useful to have taken MAT2400 – Real Analysis and INF-MAT3360 – Partial differential equations (discontinued).

Overlapping courses

10 credits with AIM301 and MAT-INF4300 – Partial differential equations and Sobolev spaces I (continued).

*The information about overlaps is not complete. Contact the Department for more information if necessary.

Teaching

4 hours of lectures/exercises per week.

Examination

One compulsory assignment has to be approved. Written examination at the end of the semester. Letter grading (A-F).


Rules for compulsory assignments at the Department of Mathematics (norwegian only).

Permitted aids at the exam: None

Language of examination

Subjects taught in English will only offer the exam paper in English.

You may write your examination paper in Norwegian, Swedish, Danish or English.

Explanations and appeals

Resit an examination

Students who due to illness or other valid reason of absence were unable to sit for their final exams may apply for participation in deferred examinations. Deferred examinations are arranged either later in the same semester or early in the semester following the exam in question. Documentation of valid reasons for absence from the regular exam must be submitted upon application to participate in deferred examinations.

Students who have failed an exam, who withdraw during an exam, and students who wish to retake an exam to achieve a better grade may not participate in deferred exams, but may retake the exam when it is regularly scheduled.

Information about deferred and new examination (also called repeat examination) is found here

More information about examination at the Faculty of Mathematics and Natural Sciences can be found here

Facts about this course

Credits
10
Teaching
Every autumn

This version of the course will be held for the last time Autumn 2007. MAT-INF4300 – Partial differential equations and Sobolev spaces I (continued) will still be held.

Examination
Every autumn
Teaching language
Norwegian (English on request)