Course syllabus

# Numerisk analys

Numerical Analysis

## FMN050, 6 credits, G2 (First Cycle)

## General Information

## Aim

## Learning outcomes

## Contents

## Examination details

## Admission

## Reading list

## Contact and other information

Numerical Analysis

Valid for: 2015/16

Decided by: Education Board B

Date of Decision: 2015-04-16

Main field: Technology.

Compulsory for: E3

Elective Compulsory for: I3

Elective for: BME4

Language of instruction: The course will be given in English on demand

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 using computers forms a central part of the course.

Knowledge and understanding

For a passing grade the student must

be able to choose suitable computational methods to solve simple problems that occur in mathematical models in, e.g., electronics, and to be able to construct computable approximations. Moreover, students must be able to independently implement and apply such algorithms.

Competences and skills

For a passing grade the student must

- be able to independently select and apply computational algorithms using a computer, and be able to evaluate both accuracy and relevance of the numerical results.
- report solutions to problems and numerical results in written form.

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 methods and algorithms.
- write a well structured report in suitable terminology on the numerical solution of a mathematical problem.

Software for scientific computing, error analysis, computer arithmetic, condition number, systems of linear equations, the method of least squares, calculation of eigenvalues, solution of nonlinear equations using fixed point or Newton iterations, interpolation, ordinary differential equations, basic signal processing using FFT.

Grading scale: TH

Assessment: Written exam. The retake might be oral if the participants are few.

Required prior knowledge: FMA420 Linear Algebra, FMAA01/05 Calculus in One Variable, FMA430 Calculus in Several Variables, and experience with MATLAB.

The number of participants is limited to: No

The course overlaps following course/s: FMN011, FMN041, FMN081, FMN130, FMNF01, FMNN10

- Sauer, T: Numerical Analysis, Second Edition. Pearson Education, 2013, ISBN: 9781292023588. Other printings of the second edition, with different ISBN-numbers, may also be used.

Course coordinator: Studierektor Anders Holst, Studierektor@math.lth.se

Course homepage: http://www.ctr.maths.lu.se/na/courses/FMN050/