Schedule, syllabus and examination date

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Course content

The course gives an introduction to the theory of systems of ordinary differential equations. Emphasis will be put on using dynamical systems as a modelling tool in different areas of science, technology, medicine, economy etc. The students will perform numerical studies of complex systems.

Learning outcome

After completing the course you will:

  • have good knowledge of the fundamental theory in dynamical systems. This includes topics such as existence and uniqueness of solutions, linearization and stability theory, phase space techniques, bifurcation theory and Hamiltonian systems;
  • have knowledge of the properties of systems which appear in a selection of applications;
  • have good knowledge of the principles behind developing efficient numerical methods;
  • be able to use software packages to solve complex dynamical systems.

Admission

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.

Prerequisites

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

MAT1100 – CalculusMAT-INF1100 – Modelling and computationsMAT1110 – Calculus and Linear Algebra and MAT1120 – Linear algebra

Overlapping courses

*The information about overlaps for discontinued courses may not be complete. If you have questions, please contact the Department. 

Teaching

4 hours of lectures/problem sessions every week through the semester.

Examination

1 compulsory assignment.

Final written examination.

Examination support material

No examination support material is allowed.

Language of examination

Subjects taught in English will only offer the exam paper in English.

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.

Evaluation

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

Credits

10

Teaching

Every spring

Examination

Every spring

Teaching language

Norwegian (English on request)