MAT-3202 | UiT

Application deadline

Spring 2020 If only a few students attend this course spring 2020, it will be given as a reading-coures.

Applicants from Nordic countries: 1 June for the autumn semester and 1 December for the spring semester. Applicants from outside the Nordic countries: 1 October for the spring semester and 15 April for the autumn semester.

Type of course

The course is included in the study programs Mathematical scienses - master and Applied Physics and Mathematics - master (5-years). It may also be taken independent of study program upon approval of the Department of mathematics and statistics.

Admission requirements

Bachelor of science degree in mathematics or equal.

Recommended prerequsites is MAT-3200 Mathematical Methods.

Application code is 9371.

Course overlap

If you pass the examination in this course, you will get an reduction in credits (as stated below), if you previously have passed the following courses:

MA-320 Mathematical theory of waves 10 stp
MAT-8202 Nonlinear Waves 10 stp

Course content

An introduction to basic concepts of the theory of nonlinear waves. Covers variational formulations, perturbation methods, amplitude equations, integrable models and the theory of shocks. Numerical simulations play a central role in the modeling of nonlinear wave phenomena.

Recommended prerequisites

MAT-3200 Mathematical Methods

Objectives of the course

After completing the course the students should know basic theory for modeling of linear and non-linear continuum systems, including:

hyperbolic and dispersive continuum models.
stability theory for conservative and dissipative models.
basic perturbation theory for models with several space-time scales.
numerical modelling of continuum models.
be able to use both analytical and numerical solution methods.

Language of instruction and examination

The language of instruction and the syllabus is English. Examination questions will be given in English, but may be answered either in English or a Scandinavian language.

Teaching methods

Lectures: 40 h Coursework: 30 h

Information to incoming exchange students

Please see the "Admission requirements" section

Do you have questions about this module? Please check the following website to contact the course coordinator for exchange students at the faculty: https://en.uit.no/education/art?p_document_id=510412

Schedule

Se timeplan

Examination

Examination:	Grade scale:
Oral exam	A–E, fail F
Work requirement To take an examination, the student must have passed the following coursework requirements:
Mandatory homework sets	Approved/ Not approved

UiT Exams homepage

Re-sit examination

Students who do not pass the previous ordinary examination can gain access to a re-sit examination.

spring 2023 MAT-3202 Nonlinear Waves - 10 ECTS