MATA22 Linear Algebra 1, 7.5 credits, is a compulsory course for a Bachelor of Science degree in mathematics and physics. The course can be taken as a stand-alone course. The course is given at half-study pace during the first half of each semester. The course is given in English during the autumn semester and in Swedish during the spring semester.

Course Content
Analytic geometry in two and three dimensions: vectors, bases and coordinates, linear dependence, equations of lines and planes, inner product, quadratic curves, calculation of distances and angles, vector and volume product, calculation of area and volume.

Systems of linear equations: Gauss elimination, solvability. Matrices and determinants. Introduction to linear spaces and linear transformations.

Teaching
The teaching consists of lectures, seminars, exercise classes and mentoring hours. An essential element of the seminars and exercise classes is training in problem solving and oral mathematical communication.

A project is included in the course requirements. The project concerns theoretical aspects and applications of the course content but can also have a didactic specialisation. The project, that may consist of a number of smaller written assignments, aims also at providing the students with training in mathematical communication in speech and writing.

Assessment
The examination consists of

written and oral presentation of the project (1.5 credits)
written examination (6 credits)

Regarding examination

Course Literature

Karl Gustav Andersson, Lineär algebra, 2000. En utvidgad version på engelska av de kapitel i kurslitteraturen som ingår i kursen tillgängliggörs av institutionen.
J. Ström, K. Åström, och T. Akenine-Möller, Immersive Linear Algebra, 2016

Official Course Description

Course Evaluation
Link to course evaluations on the department's website:

Course Evaluations, Mathematics at Faculty of Science