Course syllabus

# Numerisk analys

Numerical Analysis

## FMNF05, 6 credits, G2 (First Cycle)

## General Information

## Aim

## Learning outcomes

## Contents

## Examination details

## Admission

## Reading list

## Contact and other information

Numerical Analysis

Valid for: 2020/21

Decided by: PLED F/Pi

Date of Decision: 2020-04-01

Main field: Technology.

Compulsory for: D3

Elective for: C4

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 with computers is a central part of the course.

Knowledge and understanding

For a passing grade the student must

- be able to construct computable approximations of mathematical models which are common in science and engineering.
- be able to describe numerical algorithms to handle the above approximations.
- be able to independently implement and apply such algorithms using mathematical software, e.g. Octave or Matlab.

Competences and skills

For a passing grade the student must

- be able to independently select and apply computational algorithms and implement them on a computer.
- be able to evaluate both accuracy and relevance of numerical results.
- report solutions to problems and numerical results in written form.
- write a logically well structured report, using suitable terminology, on the construction of basic mathematical models and algorithms.
- write an well structured report, using suitable terminology, on the numerical solution of a mathematical problem.

Error analysis, numerical methods for systems of (non-) linear equations, the least squares method, polynomial interpolation, splines, Bezier curves, numerical integration, computation of eigenvalues. the Discrete Fourier transform, discrete cosine transforms.

Grading scale: TH - (U,3,4,5) - (Fail, Three, Four, Five)

Assessment: The grade is based on homework reports and a written exam.

The examiner, in consultation with Disability Support Services, may deviate from the regular form of examination in order to provide a permanently disabled student with a form of examination equivalent to that of a student without a disability.

Assumed prior knowledge: FMAB20 Linear Algebra, FMAA01/05 Calculus in One Variable, FMAB30 Calculus in Several Variables, and experience with MATLAB.

The number of participants is limited to: No

The course overlaps following course/s: FMN041, FMN050, FMN081, FMNF01, FMN011, FMNF10

- Sauer, T: Numerical Analysis, 2nd edition. Pearson Education, 2013, ISBN: 9781292023588. Other printings of the second edition, with different ISBN-numbers, may also be used.

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

Course administrator: Studerandeexpeditionen, expedition@math.lth.se

Course homepage: http://www.maths.lu.se/utbildning/numerisk-analys/courses-in-numerical-analysis/