MEK3100 – Mathematical Methods in Mechanics

Course content

Dimensional analysis, the Pi-theorem, scaling, regular and singular perturbations, Poincaré-Lindstedts method, boundary layer theory, asymptotic matching, multiple scales, calculus of variation. Examples from selected problems in mechanics and other branches of physics.

Learning outcome

To provide an introduction to essential techniques and concepts in mathematical modeling. The course gives a good basis for further studies in applied mathematics and mechanics and is recommended for specialization in fluid mechanics at the master level.

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, MAT-INF1310 – Ordinary differential equations (discontinued). It can be useful to have taken MEK2200 – Continuum Mechanics, INF-MAT3360 – Partial differential equations (discontinued).

Overlapping courses

10 credits with MEK4100 – Mathematical Methods in Mechanics.

9 credits with ME207.

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

Teaching

4 hours of lectures per week.

Examination

Two compulsory assignments need to be passed within given deadlines to be allowed to take the final exam. Final written examination. Letter grading (A-F).


Rules for compulsary assignments at the Department of Mathematics (norwegian only)

Examination support material

Rottmann's formula list + approved calculator

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.

Explanations and appeals

Resit an examination

Students who due to illness or other valid reason of absence were unable to sit for their final exams may apply for participation in deferred examinations. Deferred examinations are arranged either later in the same semester or early in the semester following the exam in question. Documentation of valid reasons for absence from the regular exam must be submitted upon application to participate in deferred examinations.

Students who have failed an exam, who withdraw during an exam, and students who wish to retake an exam to achieve a better grade may not participate in deferred exams, but may retake the exam when it is regularly scheduled.

Information about deferred and new examination (also called repeat examination) is found here

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

Facts about this course

Credits
10
Teaching
Every spring
Examination
Every spring
Teaching language
Norwegian (English on request)