MAT-2201 Numerical Methods - 10 ECTS
Applicants from Nordic countries: Generell studiekompetanse og følgende spesielle opptakskrav: Matematikk R1 + R2 og i tillegg enten:
- Fysikk 1 + 2 eller
- Kjemi 1+ 2 eller
- Biologi 1 + 2 eller
- Informasjonsteknologi 1 +2 eller
- Geofag 1 + 2 eller
- Teknologi og forskningslære 1 + 2
International applicants: Higher Education Entrance Qualification and certified language requirements in English. It is a requirement that students have some prior knowledge of biology and ecology, chemistry and mathematics (Participants must have taken introductory level university courses, and achieved pass grades, in these subjects).
A list of the requirements for the Higher Education Entrance Qualification in Norway can be found on the Norwegian Agency for Quality Assurance in Education website - nokut.no
Recommended prerequsites is MAT-1003 Calkulus 3 and MAT-1004 Linear algebra or equal.
Application code: 9336 (Nordic applicants).
After the course the student should:
- Be able to analyze methods for numerical calculations with respect to errors and complexity
- Have mathematical understanding for the methods they apply
- Know the main features in IEEE-standards for binary number representation
- Be able to use iterative methods, like the Jacobi-method for systems of linear equations, and Newtons method for non-linear equations, and be able to describe convergence properties.
- Be able to describe Gaussian elimination and LU factorization, and know QR factorization, and how this is used to find least squares solutions.
- Know the problem of polynomial interpolation, how to solve it, and how to prove unqueness. They should be able to use Chebychev polynomials as tools.
- Use Taylor¿s theorem to find errors of discretization when calculating dericatives and finite difference.
- Know simple methods for numerical calculation of integrals, such as the Trapezoid method and Simpson¿s formula, and general results about global errors, when local errors are known.
- Know the simplest algorithms for stepwise numerical solution of initial value problems for systems of first order differential equations, and know how to reformulate a higher order differential equation to such a system.
This course is open for inbound exchange student who meets the admission requirements, including prerequisites. Please see the Admission requirements" and the "Prerequisite" sections for more information.
Do you have questions about this course? 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
Written final exam of 4 hours duration, counting 100 %.
Assessment scale: Letter grades A-F.
Postponed examination: Students with valid grounds for absence will be offered a postponed examination early in the following semester.
For further details see: - Utfyllende bestemmelser for eksamener ved Fakultet for naturvitenskap og teknologi (only in Norwegian) - Regulations for examinations at the University of Tromsø
Coursework requirements A passing grade is required on the mandatory homework sets for permission to take the exam.
- About the course
- Campus: Tromsø |
- ECTS: 10
- Course code: MAT-2201
- Responsible unit
- Institutt for matematikk og statistikk