(Created 2009-08-11.)

NUMERICAL ANALYSIS | FMNF01 |

**Aim**

The aim of the course is to teach basic computational methods for solving simple and common mathematical problems by computer and numerical software. This includes the construction, application and analysis of basic computational algorithms. Problem solving by computers is a central part of the course.

*Knowledge and understanding*

For a passing grade the student must

be able to apply and analyse basic discretisation methods for initial value problems.

be able to implement basic algorithms on his/her own.

*Skills and abilities*

For a passing grade the student must

be able to evaluate both accuracy and relevance of numerical results.

be able to report solutions to problems and numerical results in written form,

*Judgement and approach*

For a passing grade the student must

be able to write an algorithmically well structured report in suitable terminology on the numerical solution of a mathematically posed problem.

**Contents**

Error analysis, numerical methods for linear and nonlinear equation systems, the least squares method, polynomial and spline interpolation, Bezier curves, numerical integration, ordinary differential equations.

**Literature**

Sauer, T. Numerical Analysis. Pearson 2006. ISBN: 0-321-26898-9.

**Code: **0110.
**Name: **Numerical Analysis.

**Higher education credits: ** 6.
**Grading scale: **TH.
**Assessment:** Written test and homework assignments.
**Contents:** See above, contents.

**Code: **0210.
**Name: **Project in Numerical Analysis.

**Higher education credits: ** 1,5.
**Grading scale: **UG.
**Assessment:** Approved project.
**Further information:** The aim is to in the form of a project enhance the student's understanding of the course. The project is chosen with regard to the student's interests.