MAT9300 – Measure and integration
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.
Basic theory of measure and integration.
PhD candidates from the University of Oslo should apply for classes and register for examinations through Studentweb.
If a course has limited intake capacity, priority will be given to PhD candidates who follow an individual education plan where this particular course is included. Some national researchers’ schools may have specific rules for ranking applicants for courses with limited intake capacity.
PhD candidates who have been admitted to another higher education institution must apply for a position as a visiting student within a given deadline.
Formal prerequisite knowledge
Recommended previous knowledge
MAT2400 – Real Analysis/Error: java.lang.NullPointerException.
10 credits with Error: java.lang.NullPointerException.
10 credits with MA254/354.
10 credtis with Error: java.lang.NullPointerException.
*The information about the overlaps is not complete. Contact the department for more information if necessary.
4 hours of lectures/exercises per week.
One compulsory assignment has to be handed in and approved. Final mark based on written examination at the end of the semester.
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.
Grades are awarded on a pass/fail scale. Read more about the grading system.
Explanations and appeals
Resit an examination
This course offers both postponed and resit of examination. Read more:
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.
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.