Student Pages
Postgraduate course

Theory of Measure and Integration

  • ECTS credits10
  • Teaching semesterSpring
  • Course codeMAT215
  • Number of semesters1
  • Language

    Norwegia. English if English-speaking students attend

  • Resources

Main content

Teaching semester


Objectives and Content

Contents are the Lebesgue integral, general theory of measure spaces and measurable functions, Lebesgue-Stieltjes measure on the real line, the Radon-Nikodym theorem, Fubinis theorem, Lp-spaces and related topics.

Learning Outcomes

Learning outcomes

After completed course, the students are expected to be able to:

  • Describe basic properties of sigma-algebras and the Lebesgue integral
  • Explain the construction of the Lebesgue measure on Euclidean space
  • Describe the relationship between continuous functions and general integrable functions
  • Work with Lebesgue-Stieltjes integral on the real line.
  • Determine questions related to different kinds of convergence, like Lp-convergence, convergence in measure and convergence almost everywhere
  • Describe the main ideas of the proofs for the Fubini-and Radon-Nikodym theorem.

Recommended Previous Knowledge


Credit Reduction due to Course Overlap

M212: 10 ECTS

Forms of Assessment

Oral examination

Available aids: None

Grading Scale

The grading scale used is A to F. Grade A is the highest passing grade in the grading scale, grade F is a fail.

Exam information