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Course content

The course gives an introduction to mathematics as a tool for understanding physical processes. The main emphasis is on analysis, with a spesial focus on applications of the theory in physics and chemistry. The use of digital tools is emphasized both to visualize the theory and to make quantitative calculations in the models.

Learning outcome

After completing the course you:

  • can calculate with complex numbers on cartesian and polar form;
  • have basic skills in analysis, including technical and theoretical insight into limits, differentiation, integration, and you are familiar with the interpretations of these concepts in the natural sciences;
  • know about sequences and series, you can approximate functions by power series, and you have knowledge about the most common techniques of calculation in the subject;
  • have knowledge of vector fields, mainly in 2 or 3 dimensions, can differentiate and integrate vector fields, and know some of the theoretical results in the subject;
  • are familiar with the method of least squares and can carry out simple regression;
  • can compute integrals over different kinds of regions in 2 and 3 dimensions, including general line and surface integrals;
  • know what is meant by Fourier analysis and can compute Fourier transforms;
  • know about the Laplace operator, its properties and applications;
  • are familiar with simple ordinary and partial differential equations, their equilibrium and stability properties, as well as numerical methods for illustrating and computing the solutions. 


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

R2 from secondary school. The subject should be taken in the same semester as or after IN-KJM1190 and IN1900 or MAT-IN1105

Overlapping courses


4 hours of lectures and 4 hours of problem sessions 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 + 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




Every spring


Every spring

Teaching language