Course syllabus

# Matematik, linjär algebra

Mathematics, Linear Algebra

## FMA656, 4,5 credits, G1 (First Cycle)

## General Information

## Aim

## Learning outcomes

## Contents

## Examination details

## Admission

## Reading list

## Contact and other information

Mathematics, Linear Algebra

Valid for: 2012/13

Decided by: Education Board 4

Date of Decision: 2012-02-14

Compulsory for: IBYA1, IBYI1, IBYV1, IDA1, IEA1

Language of instruction: The course will be given in Swedish

The course aims at giving a basic treatment of linear algebra. Particular emphasis is given to the role which the latter plays in applications in different areas of technology, in order to give the future engineer a good foundation for further studies.

Knowledge and understanding

For a passing grade the student must

- with confidence be able to solve linear systems of equations and be able to demonstrate an ability to geometrically interpret the solutions of such systems
- be able to represent, handle and compute with basic geometrical objects in three dimensions, such as points, vectors, lines and planes
- be able to show a general knowledge of the matrix concept, and be able to carrry out elementary matrix operations and to solve matrix equations.

Competences and skills

For a passing grade the student must

- be able to demonstrate a good capacity for algebraic manipulations.
- in connection with problem solving be able to demonstrate an ability to independently choose and use mathematical methods within linear algebra
- in connection with problem solving be able to demonstrate an ability to integrate concepts from different parts of the course
- be able to demonstrate an ability to explain a mathematical argument in a structured and logically clear way.

Systems of linear equations. Vectors. Bases and coordinate systems. Equations for lines and planes in space. Scalar product with applications. Vector product with applications. Matrices. Linear transformations. Determinants.

Grading scale: TH

Assessment: Written test.

The number of participants is limited to: No

The course overlaps following course/s: FMA420, FMA421

- Sparr, G: Linjär algebra. Studentlitteratur, 1997, ISBN: 9789144197524.
- Övningar i Linjär algebra. Studentlitteratur, 2007, ISBN: 978-91-44-04878-9. There may be a new edition with minor changes. It will be possible to use editions from 2005 or later.

Director of studies: Studierektor Anders Holst, Studierektor@math.lth.se

Course coordinator: Anders Magnusson, anders.magnusson@hbg.lth.se

Course homepage: http://www.maths.lth.se/matematiklth/grundkurser/hbg