NUMERICAL ANALYSIS | FMN011 |

**Aim**

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

*Knowledge and understanding*

For a passing grade the student must

*Skills and abilities*

For a passing grade the student must

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

*Judgement and approach*

For a passing grade the student must

- write a logically well structured report in suitable terminology on the construction of basic mathematical models and algorithms.

- write an algorithmically well structured report in suitable terminology on the numerical solution of a mathematical problem.

**Contents**

Error analysis, numerical methods for systems of (non-) linear equations, least squares method, polynomial interpolation, splines, Bezier curves, numerical integration, ordinary differential equations, computation of eigenvalues.

**Literature**

Timothy Sauer: Numerical Analysis. Pearson (2006), ISBN 0-321-26898-9