Schedule, syllabus and examination date

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Course content

The course provides an introduction to the use of mathematics as a tool for understanding physical processes. The main emphasis is on linear algebra, in particular as a tool for understanding discrete dynamical processes. Emphasis is also placed on the use of digital tools to visualize the theory and to perform quantitative computations within the models.

Learning outcome

After completing the course you:

  • will have skills in vector calculus, matrices and elementary spectral theory;
  • are able to use linear algebra to establish dynamical models, and to study stability and equilibrium;
  • are trained in the use of digital tools to perform computations in linear algebra;
  • know about general vector spaces of arbitrary dimension, including function spaces of infinite dimension;
  • are familiar with the concepts of inner product, orthogonality and their applications;
  • know about linear maps between vector spaces in general, how they may be represented, and their basic properties;
  • have knowledge about how one can study symmetries via group theory, you know what a permutation is, and you have basic knowledge in abstract group theory;
  • have knowledge about how symmetry groups can be studied through their representations on complex vector spaces;
  • know how characters can be used in the classification of representations of the symmetry groups;
  • know what crystalline structures are, and how they can be studied by means of group theory.


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.


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 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

Overlapping courses


4 hours of lectures and 2 hours of problem solving in plenum per week.


2 mandatory assignments.

FInal written examination.

Examination support material

Each student may bring one sheet of paper (A4) with handwritten or printed text on both sides and an approved calculator.

Information about approved calculators (Norwegian only)

Language of examination

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

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

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.


The course is subject to continuous evaluation. At regular intervals we also ask students to participate in a more comprehensive evaluation.

Facts about this course






Spring 2019


Every spring

Teaching language