MAT4300 – Measure and integration
Course description
Schedule, syllabus and examination date
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.
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
MAT2400 – Real Analysis/MAT2410 – Introduction to Complex Analysis.
Overlapping courses
- 5 credits overlap with MAT3400 – Linear Analysis with Applications
- 5 credits overlap with MAT4400 – Linear Analysis with Applications
10 credits with MAT3300 – Measure and integration (discontinued).
10 credits with MA254/354, MA141 and MA154.
* The information about the 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 handed in and approved. Final mark based on written examination at the end of the semester.
Rules for compulsory assignments at the Department of Mathematics (Norwegian only).
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 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
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.