Course syllabus

Matematik, linjär algebra
Mathematics, Linear Algebra

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

Valid for: 2015/16
Decided by: Education Board B
Date of Decision: 2015-04-16

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 elementary 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.

Examination details

Grading scale: TH
Assessment: Written test.

Admission

The number of participants is limited to: No
The course overlaps following course/s: FMA425, FMA420, FMA421, FMAA20

Reading list

Sparr, G: Linjär algebra. Studentlitteratur, 1997, ISBN: 9789144197524.
Övningar i Linjär algebra. Studentlitteratur, 2007, ISBN: 978-91-44-04878-9.

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.lth.se/matematik_lth_helsingborg

Matematik, linjär algebra Mathematics, Linear Algebra