MM505: Linear algebra

The Study Board for Science

Teaching language: Danish or English depending on the teacher, but English if international students are enrolled
EKA: N300000102
Assessment: Second examiner: External
Grading: 7-point grading scale
Offered in: Odense
Offered in: Autumn
Level: Bachelor

STADS ID (UVA): N300000101
ECTS value: 5

Date of Approval: 31-03-2022


Duration: 1 semester

Version: Archive

Entry requirements

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.

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.

Content

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

See itslearning for syllabus lists and additional literature references.

Examination regulations

Exam element a)

Timing

Autumn

Tests

Obligatorisk opgave

EKA

N300000102

Assessment

Second examiner: External

Grading

7-point grading scale

Identification

Full name and SDU username

Language

Normally, the same as teaching language

Examination aids

To be announced during the course

ECTS value

5

Additional information

Reexam in the same exam period or immediately thereafter.

Indicative number of lessons

50 hours per semester

Teaching Method

At the faculty of science, teaching is organized after the three-phase model ie. intro, training and study phase.
  • Intro phase (lectures, class lessons) - 28 hours
  • Training phase: 22 hours
Activities during the study phase:
  • To discuss selected topics covered in the lectures.
  • To work on the assignment problems.

Teacher responsible

Name E-mail Department
David Kyed dkyed@imada.sdu.dk Analyse

Additional teachers

Name E-mail Department City
Wojciech Szymanski szymanski@imada.sdu.dk Analyse

Timetable

Administrative Unit

Institut for Matematik og Datalogi (matematik)

Team at Registration

NAT

Offered in

Odense

Recommended course of study

Profile Education Semester Offer period

Transition rules

Transitional arrangements describe how a course replaces another course when changes are made to the course of study. 
If a transitional arrangement has been made for a course, it will be stated in the list. 
See transitional arrangements for all courses at the Faculty of Science.