MM505: Linear algebra (5 ECTS)

STADS: 13000501

Level
Bachelor course

Teaching period
The course is offered in the autumn semester.

Teacher responsible
Email: szymanski@imada.sdu.dk

Timetable
Show entire timetable
Show personal time table for this course.

Comment:
Ubegrænset deltagerantal.

Prerequisites:
The course cannot be chosen by students, who have passed the first part of MM538.

Academic preconditions:
None

Course introduction
The aim of the course is to introduce the student to the basic concepts and methods of linear algebra, with emphasis on matrix manipulations. The material covered is important in almost all aspects of mathematics and has widespread applications throughout the sciences.

The course MM536 or similar should at least be taken simultaneously. This course provides the students with the necessary prerequisites for courses MM533 and MM539, that appear later in the degree.

In relation to the competence profile of the degree it is the explicit focus of the course to:

• Give skills to apply thinking and terminology from the subject’s basic disciplines.
• Give skills to present mathematical thinking both in written and oral form.
• Give skills to solve systems of linear equations, calculate determinants, find inverses of matrices, find coordinates of vectors, find matrices of linear transformations.
• Give knowledge and understanding of vector spaces and linear transformations.

Expected learning outcome
The learning objectives of the course are that the student demonstrates the ability to:

• Reproduce definitions and results covered in the course.
• Be able to use these results to analyse concrete examples.
• Formulate and present definitions and calculations in a mathematically rigorous way.

Subject overview
The following main topics are contained in the course:

• Systems of linear equations
• Matrix operations, inverses, determinants
• Vector spaces, basis, coordinates, linear independence
• Linear transformations, eigenvalue problems, diagonalisation
• Inner product and orthogonality

Literature

Meddeles ved kursets start.

Website
This course uses e-learn (blackboard).

Prerequisites for participating in the exam
None

Assessment and marking:

1. Mandatory assignment. 7-point grading scale, external examiner. (5 ECTS).(13000502).

Reexam in the same exam period or immediately thereafter.
The re-exam may differ from the ordinary exam.

Expected working hours
The teaching method is based on three phase model.
Intro phase: 34 hours
Skills training phase: 22 hours, hereof:
 - Tutorials: 22 hours

Educational activities Study phase: 14 hours
Educational form
Activities during the study phase:

• To discuss selected topics covered in the lectures.
• To work on the assignment problems.

Language
This course is taught in Danish or English, depending on the lecturer. However, if international students participate, the teaching language will always be English.

Course enrollment
See deadline of enrolment.

Tuition fees for single courses
See fees for single courses.