autumn 2023
MAT-3200 Mathematical Methods - 10 ECTS

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Type of course

The course is included in the study programs Mathematical Sciences - master and Applied Physics and Mathematics - master (5-years). It may also be taken as a singular course and is offered for inbound exchange students.

Admission requirements

Bachelor of science degree in mathematics or equal. Recommended prerequsites is MAT-2201 Numerical Methods and MAT-2200 Differential Equations. Application code is 9371.

Course content

This is a course on the mathematical modeling of linear continuous systems. These are systems containing an infinite number of degrees of freedom. Examples taken from the modeling of traffic flow, heat conduction, waves and option pricing in economy (Blach Scholes formula). The course will cover both analytic and numerical methods and will give an introduction to the numerical solution of partial differential equations with emphasis on the basic model equations derived in the course. The course MAT-2200, Differential equations, is a prerequisite and some familiarity with numerical methods is highly recommended. Some knowledge of physics would also be helpful.

Recommended prerequisites

MAT-2201 Numerical Methods

Objectives of the course

After the course the students are supposed to know

  • Simple models leading to central partial differential equations
  • First order partial differential equations
  • Classification and solution methods for second order partial differential equations
  • Separation of variables and generalized Fourier series
  • integral transforms
  • Green¿s functions and og distributions
  • Finite difference methods for partial differential equations

After the course the students are expected to be able to apply both traditional analytic solutions methods and numerical methods to solve partial differential equations.

Language of instruction and examination

The language of instruction and the syllabus is English. Examination questions will be given in English.

Teaching methods

Lectures: Approx 40 h. Coursework: Approx 30 h.

Information to incoming exchange students

This course is open for inbound exchange student who meets the admission requirements. 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

Examination

Examination: Grade scale:
Oral exam A–E, fail F

Coursework requirements:

To take an examination, the student must have passed the following coursework requirements:
Homework sets Approved – not approved
UiT Exams homepage

Re-sit examination

Students with valid grounds for absence or failed attempt on ordinary exam, will be given a re-sit examination early in the following semester.
  • About the course
  • Campus: Tromsø |
  • ECTS: 10
  • Course code: MAT-3200