MAT3300 - Measure and integration
Schedule, syllabus and examination date
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.
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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 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
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).
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.