Course - Numerical Mathematics - TMA4215
Numerical Mathematics
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About the course
Course content
Error analysis. Approximation of functions. Numerical quadrature. Numerical linear algebra. Numerical solution of nonlinear equations. 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 and exercises. The exercises require the use of a computer. Portfolio assessment is the basis for the grade awarded in the course. This portfolio comprises a written final examination (70%) and a term project (30%). The results for the constituent parts are to be given in %-points, while the grade for the whole portfolio (course grade) is given by the letter grading system. Retake of examination may be given as an oral examination. All teaching materials are available in English. The lectures will be given in English if the course is attended by students who don't master a Scandinavian language. Students are free to choose Norwegian or English for written assessments.
Compulsory assignments
- Exercises
Further on evaluation
In the case that the student receives an F/Fail as a final grade after both ordinary and re-sit exam, then the student must retake the course in its entirety. Submitted work that counts towards the final grade will also have to be retaken. For more information about grading and evaluation, see «Teaching methods and activities».
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
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.