Course syllabus

# Matematik, linjär algebra Mathematics, Linear Algebra

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

Valid for: 2012/13
Decided by: Education Board 4
Date of Decision: 2012-02-14

## General Information

Compulsory for: IBYA1, IBYI1, IBYV1, IDA1, IEA1
Language of instruction: The course will be given in Swedish

## Aim

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.

## Learning outcomes

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.

## Contents

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.

## Examination details

Grading scale: TH
Assessment: Written test.

## Admission

The number of participants is limited to: No
The course overlaps following course/s: FMA420, FMA421

## Reading list

• 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.

## Contact and other information

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