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MAT-INF4300 – Partial differential equations and Sobolev spaces I

Schedule, syllabus and examination date

Choose semester

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.

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

Recommended previous knowledge

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Overlapping courses

10 credits overlap with include:ref: null

10 credits with AIM301.

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

Teaching

4 hours of lectures/exercises per week.

Examination

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.

Evaluation

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

Credits

10

Level

Master

Teaching

Examination

Teaching language

English

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.