Schedule, syllabus and examination date

Course content

MAT1125 – Advanced linear algebra expands on the knowledge of linear algebra from MAT1105 – Linear algebra and numerical methods, and is a natural continuation of this. The course covers topics such as orthogonality, the method of least squares, the singular value decomposition, infinite dimensional vector spaces, spectral theory, and Fourier series.

Learning outcome

After completing the course you have good knowledge of the following topics.

  • inner products, orthogonality
  • the method of least squares
  • spectral theory
  • the singular value decomposition and applications to analysis of large data sets
  • abstract and normed vector spaces
  • basis, dimension and subspaces
  • examples of infinite dimensional normed vector spaces, such as the set of continuous functions with the supremun norm
  • inner product spaces and basic theory for these
  • Fourier series.

Admission to the course

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.

Special admission requirements

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 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)
  • Social economy (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).

Overlapping courses

Teaching

5 hours lectures and 2 hours group sessions per week throughput the semester.

The number of groups offered can be adjusted during the semester, depending on attendance.

Examination

Final written exam which counts 100 % towards the final grade.

This course has 5 mandatory assignments, of which 3 must be approved before you can sit the final exam.

Examination support material

No examination support material is allowed.

Language of examination

The examination text is given in Norwegian. You may submit your response 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.

Resit an examination

This course offers both postponed and resit of examination. Read more:

More about examinations at UiO

You will find further guides and resources at the web page on examinations at UiO.

Last updated from FS (Felles studentsystem) Oct. 16, 2026 7:15:53 AM

Facts about this course

Level
Bachelor
Credits
10
Teaching
Autumn
The course will first be given autumn 2025.
Examination
Autumn
Teaching language
Norwegian

Contact

Department of Mathematics