Table of contents

The course is connected to the following study programs

Teaching language

Norwegian or English.

Recommended previous knowledge

MA-304

Learning outcomes

The student
  • can develop the theory of the topology in metric spaces including compactness and uniform continuity
  • knows and can explain the theory of continuous functions in metric spaces, including the Arzela-Ascoli theorem
  • can develop the theory of operators in linear spaces, including Baire’s category theorem and its consequences
  • has a good understanding of measures, measurable spaces and functions, and of the construction of the Lebesgue measure
  • can develop the theory of integration with respect to a positive measure and explain the important convergence theorems
  • has a good understanding of product measure and the Fubini/Tonelli theorem

Contents

Introduction to the basics of topology, theory of measure and integration and functional analysis.

Teaching and learning methods

Lectures and work in small groups. The course has an expected workload of around 400 hours.

Examination requirements

Required assignments and tests must be approved, se Canvas for more information.

Examinations

Oral individual examination. Graded assessment.

Student evaluation

The person responsible for the course, in consultation with the student representative, decides the method of evaluation and whether the courses will have a midterm- or end of term evaluation, see also the Quality System, section 4.1. Information about evaluation method for the course will be posted on Canvas.

Offered as a free-standing course

Yes. Subject to avalibility or capacity.
Last updated from FS (Felles studentsystem) Oct. 15, 2026 8:38:08 AM