MEK4100 - Mathematical Methods in Mechanics

Schedule, syllabus and examination date

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Course content

MEK4100 offers an introduction to some key topics of mathematics applied in physics. The first major topic is dimensional analysis, scaling and perturbation techniques. Included are regular and singular perturbations, the Poincare-Lindstedt's method, boundary layers, multiple scale expansions and the WKB method. The perturbation solutions are verified by and compared to numerical solutions. The second major topic is calculus of variation and Hamilton's principle. The application of the methods and theory in the course is demonstrated through solution of selected problems from mechanics and other natural sciences.

Learning outcome

After having completed the course:

  • you master the Pi theorem and know how to scale equations with regard to application of perturbation techniques or other mathematical approaches
  • you master dominant balance analysis and application of the perturbation techniques in the syllabus
  • you have knowledge of key properties of asymptotic expansions and approximations
  • you know the derivation of the Euler equations from a series of basic problems of variation. - you can apply Hamilton's principle to simple physical 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

Recommended previous knowledge

MAT1100 - Calculus og MAT-INF1100 - Modelling and computations. It can be useful to have taken MAT1110 - Calculus and linear algebra and FYS-MEK1110 - Mechanics.

Overlapping courses

10 credits overlap with MEK3100 - Mathematical Methods in Mechanics (discontinued)

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.

Rules for compulsory assignments at the Department of Mathematics.

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.

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

Students who can document a valid reason for absence from the regular examination are offered a postponed examination at the beginning of the next semester.

Re-scheduled examinations are not offered to students who withdraw during, or did not pass the original examination.

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

Level

Master

Teaching

Autumn 2017

Autumn 2016

Spring 2016

Spring 2015

Spring 2014

Autumn. Taught according to demand and resources. If you want to attend the course, please send an e-mail to studieinfo@math.uio.no.

Examination

Autumn 2017

Autumn 2016

Spring 2016

Spring 2015

Spring 2014

According to demand and resources.

Teaching language

Norwegian (English on request)