Course content

The course will give students an introduction to basic concepts within optimization and control of dynamical systems, with emphasis on mathematical techniques like dynamic programming and calculus of variation. Theory of differential and integral equations of higher degree is covered. Control theory is useful in many different fields such as optimization of portfolios in finance and steering of robots. Thus it is fundamental to much modern technology.

Learning outcome

Students will be taught to master control problems using central mathematical techniques such as calculus of variation and dynamical programming.

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 – Calculus, MAT1110 – Calculus and Linear Algebra, MAT1120 – Linear Algebra and MAT1700 – Introduction to micro and macro economics (discontinued).

Overlapping courses

10 credits with MA206.

The information about overlaps is not complete. Contact the Department for more information if necessary.

Teaching

Teaching will be given as lectures and group exercises.

Examination

One compulsory assignments need to be passed within given deadlines to be allowed to take the final exam.Final mark based on written examination at the end of the semester.

Rules for compulsory assignments at the Department of Mathematics

  • Permitted aids at the final exam: Approved formula list.

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 subject offers new examination in the beginning of the subsequent term for candidates who withdraw during an ordinary examination or fail an ordinary examination. Deferred examinations for students who due to illness or other valid reason of absence were unable to sit for their final exams will be arranged at the same time. (These valid reasons has to be documented within given deadlines.)

For general information about new and deferred examination, see
/studier/admin/eksamen/sykdom-utsatt/mn/index.html

More information about examination at the Faculty of Mathematics and Natural Sciences can be found here

Facts about this course

Credits
10
Level
Bachelor
Teaching
Spring 2009

This course is no longer given, it is partly replaced by MAT2440 – Differential equations and optimal control theory (continued).

Examination
Spring 2009
Teaching language
Norwegian