Course - Numerical Mathematics - TMA4215
Numerical Mathematics
About
About the course
Course content
Error analysis. Approximation of functions. Numerical quadrature. Numerical linear algebra. Numerical solution of nonlinear equations and its relation to optimisation. Numerical solution of ordinary differential equations.
Learning outcome
1. Knowledge. The student has knowledge of basic numerical methods for approximation of functions, numerical quadrature, numerical solution of ordinary differential equations, and numerical solution of linear and nonlinear equations. The student masters error analysis of numerical methods and understands the concepts stability and convergence.
2. Skills. The student masters basic techniques for analyzing a large selection of numerical algorithms. The student is able to implement the algorithms in a chosen programming language, set up numerical experiments and interpret the results. The student has established sound routines for quality assurance in implemented algorithms.
3. General competence. The student can describe the chosen scientific method and communicate his or her findings in a written scientific report using precise language.
Learning methods and activities
Lectures, project and exercises. The exercises require the use of a computer. All teaching materials are available in English. Students are free to choose Norwegian or English for written assessments.
Compulsory assignments
- Exercises
Further on evaluation
In order to pass the course, a passing grade (A-E) in the written exam is required.
The portfolio consists of one or two project reports with attached code. A more detailed description of the form of the reports as well as hand-in deadlines will be pulished on the webpage of the course at the latest at the start of the semester.
In case of a retake of the course, all the course parts have to be taken again. The re-sit examination for the written exam may be given as an oral examination. The re-sit exam is in August. There will be no re-sit examination for the portfolio. Students are free to choose Norwegian or English for written assessments or the portfolio.
Recommended previous knowledge
TMA4100/05/15/20, Mathematics 1/2/3/4K. TMA4320 Introduction to scientific computation or Mathematics 4N or 4D. Some programming experience.
Course materials
Will be announced at the start of the course.
Credit reductions
| Course code | Reduction | From |
|---|---|---|
| SIF5048 | 7.5 sp | |
| MA2501 | 7.5 sp | Spring 2006 |
Subject areas
- Mathematics
- Technological subjects
Contact information
Course coordinator
Department with academic responsibility
Examination
Examination
Ordinary examination - Autumn 2025
School exam
The specified room can be changed and the final location will be ready no later than 3 days before the exam. You can find your room location on Studentweb.