Syllabus academic year 2010/2011
(Created 2010-07-25.)
 MATHEMATICS, LINEAR ALGEBRA FMA656
Credits: 4,5. Grading scale: TH. Cycle: G1 (First Cycle). Main field: Technology. Language of instruction: The course will be given in Swedish. FMA656 overlaps following cours/es: FMA420 and FMA421. Compulsory for: IBYA1, IBYI1, IBYV1, IDA1, IEA1. Course coordinator: Director of Studies, Anders Holst, Anders.Holst@math.lth.se, Mathematics. Assessment: Written test. Home page: http://www.maths.lth.se/matematiklth/grundkurser/hbg.

Aim
The course aims at giving a basic treatment of linear algebra. Particular emphasis is given to the role it 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 show capability to geometrically interpret 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.

Skills and abilities
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 show capability to independently choose and use mathematical methods within linear algebra

• in connection with problem solving be able to show capability to integrate concepts from different parts of the course

• be able to show capability to explain mathematical reasoning 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.

Literature
Sparr, G: Linjär algebra. Studentlitteraturm 1994. ISBN: 9789144197524.