MM505: Linear algebra (5 ECTS)

STADS: 13000501

Level
Bachelor course

Teaching period
The course is offered in the autumn semester.
1st quarter (Scient. students).
4th quarter (Mat.Øk students).

Teacher responsible
Email: swann@imada.sdu.dk

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

Comment:
Ubegrænset deltagerantal. 1. kvartal.

Prerequisites:
None

Academic preconditions:
The course MM501 should at least be taken at the same time, or the student should be familia with the content of the course DM527

Course introduction
To give the student knowledge and skills in those aspects of linear algebra that have widespread application throughout the sciences, and understanding of linear relationships and linear models.

Qualifications
The aim is for the student to acquire insight in linear algebra as well as applications in a number of practical problems.
The aim of teaching linear algebra is to enable the student to:

● describe a subspace of a vector space.
● use the connection between linear mappings and matrices to solve systems of linear equations.
● compute the determinant of a matrix.
● find eigenvalues and eigenvectors for a given linear mapping.
● find an orthonormal basis consisting of eigenvectors for a given symmetric linear mapping on a finite dimensional Euclidean space.
● compute the projection of a given vector on a given subspace of Euclidean space.

Expected learning outcome
By the end of the course the students are expected to be able to:

• apply techniques and results from linear algebra to solve computational problems concerning systems of linear equations, matrices, vector spaces, linear transformations, orthogonality, and eigenvalue problems.
• apply linear algebraic theory to analyse simple theoretical problems within the above mentioned subjects.
• argue for the individual steps in the solutions.
• formulate correct arguments.
• use mathematical terminology.


Subject overview
Vector spaces, subspaces, inner product, basis, linear mappings, matrices, systems of linear equations, determinant, eigenvectors and eigenvalues.

Literature

Meddeles ved kursets start.

Syllabus
See syllabus.

Website
This course uses e-learn (blackboard).

Prerequisites for participating in the exam
None

Assessment and marking:
A four hour written examination with textbook, notes and calculators. External examiner. Marks according to the 7-point marking scale.

Reexam after 2nd quarter.

Expected working hours
The teaching method is based on three phase model.

28 timers forelæsninger og 22 timers eksaminatorier.
Educational activities

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.