Course content

Asymptotic expansions. Approximate solutions of linear differential equations. Asymptotic expansion of integrals. Perturbation methods. Matched asymptotic expansions. The WKB method. Multiple scales expansion.

Learning outcome

The course gives an introduction to the mathematical methods used to find asymptotic solutions to physical problems.

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

MAT2440 - Differential equations and optimal control theory, MAT-INF3360 - Introduction to Partial Differential Equations, elementary knowledge in complex functional theory. It may be useful to have taken MEK4100 - Mathematical Methods in Mechanics.

Overlapping courses

10 credits overlap with MEK9110 - Applied Mathematics

9 credits with ME303.

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

Teaching

4 hours of lectures per week.

Examination

Depeding on the number of students, the exam will be either oral or written.
What form the exam will take will be announced by the teaching staff within October 15th for the autumn semester and March 15th for the spring semester.

Examination support material

Permitted aids at the exam: Rottmann's formula list + approved calculator.
Information about approved calculators (Norwegian only)

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

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

Examination

According to demand and resources.

Teaching language

Norwegian (English on request)