This course is discontinued

Schedule, syllabus and examination date

Choose semester

Course content

Measure theory includes sigma algebras, measure spaces, measurable functions, outer measures, construction measures, decompositions of measures, product measures. The theory of integration on measure spaces including the classical convergence theorems, various modes of convergence, product integration. Applications with emphasis on Lebesgue measure on R and the Lebesgue integral.

Learning outcome

Basic theory of measure and integration.


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.


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

MAT2400 – Real Analysis/MAT2410 – Introduction to Complex Analysis

Overlapping courses

10 credits with MAT4300 – Measure and integration (discontinued)

10 credits with MA254/354.

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


4 hours of lectures/lectures per week.


One compulsory assignment has to be handed in and approved. Final mark based on 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




Every autumn

This version of the course will be held for the last time Autumn 2007. MAT4300 – Measure and integration (discontinued) will still be held.


Every autumn

Teaching language

Norwegian (English on request)