Course syllabus
Linjär algebra
Linear Algebra
FMA420, 6 credits, G1 (First Cycle)
Valid for: 2015/16
Decided by: Education Board B
Date of Decision: 2015-04-16
General Information
Main field: Technology.
Compulsory for: BI1, BME1, C1, C2, D1, E1, F1, I1, L1, M1, MD1, N1, Pi1, V1, W2
Language of instruction: The course will be given in Swedish
Aim
The aim of the course is to give a basic introduction to linear
algebra. Particular emphasis is put on the role which this plays
in applications in different areas of technology, in order to give
the future engineer a good foundation for further studies in
mathematics as well as other subjects. The aim is furthermore to
develop the students' ability to solve problems and to
assimilate mathematical text.
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 understanding of the matrix concept
and of its coupling to the concept of a linear transformation, and
be able to carrry out elementary matrix operations and to solve
matrix equations.
- be able to give an overview of and illustrate mathematical
concepts in linear algebra that are used to construct and study
matematical models in the applications.
- be able to explain the contents of some central definitions,
theorems and proofs.
Competences and skills
For a passing grade the student must
- be able to demonstrate a good ability to carry out algebraic
calculations within in the framework of the course.
- 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 the different parts of the
course.
- be able to demonstrate an ability 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. Rank. Linear transformations. Determinants.
Eigenvalues and eigenvectors.
Examination details
Grading scale: TH
Assessment: Written test comprising theory and problems.
Admission
The number of participants is limited to: No
The course overlaps following course/s: FMA421, FMA656, FMA425, FMAA20
Reading list
- Sparr, G: Linjär algebra. Studentlitteratur, 1997, ISBN: 91-44-19752-7.
- Övningar i Linjär algebra. Studentlitteratur, 2007, ISBN: 978-91-44-04878-9. Earlier editions from 2001 or later may also be used.
Contact and other information
Course coordinator: Studierektor Anders Holst, Studierektor@math.lth.se
Course homepage: http://www.ctr.maths.lu.se/course/linalg/