MAT-INF4300 – Partial differential equations and Sobolev spaces I

Schedule, syllabus and examination date

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Course content

Basic theory for linear partial differential equations. Sobolev spaces, Poincaré inequalities, Rellich-Kondrachov compactness. Elliptic equations and eigenvalue problems. Theory for numerical methods: Galerkin methods, finite elements.

Learning outcome

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


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


Recommended previous knowledge

MAT2400 – Real Analysis and MAT-INF3360 – Introduction to Partial Differential Equations (continued). The course should be taken in the same semester as or after MAT4400 – Linear Analysis with Applications.

Overlapping courses

10 credits overlap with MAT-INF3300 – Partial differential equations and Sobolev spaces I (discontinued)

10 credits with AIM301.

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


4 hours of lectures/exercises per week.


1 mandatory assignment.

Final written examination.

Examination support material

No examination support material is allowed.

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.

Grading scale

Grades are awarded on a scale from A to F, where A is the best grade and F is a fail. Read more about the grading system.

Explanations and appeals

Resit an examination

Students who can document a valid reason for absence from the regular examination are offered a postponed examination at the beginning of the next semester.

Re-scheduled examinations are not offered to students who withdraw during, or did not pass the original examination.

Withdrawal from an examination

It is possible to take the exam up to 3 times. If you withdraw from the exam after the deadline or during the exam, this will be counted as an examination attempt.

Special examination arrangements

Application form, deadline and requirements for special examination arrangements.


The course is subject to continuous evaluation. At regular intervals we also ask students to participate in a more comprehensive evaluation.

Facts about this course







Teaching language


The course is given in English. If no students have asked for the course in English within the first lecture, it may be given in Norwegian.