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

Group	Type	Day	Time	Classroom	Weeks	Comment
Common	I	Monday	08-10	U48A	36
Common	I	Monday	10-12	U140	37,39-41,43-44
Common	I	Tuesday	14-16	U140	45
Common	I	Wednesday	08-10	U48A	36-37,39-41,43-45
Common	I	Friday	08-10	U140	39
H16	TE	Monday	10-11	*Odense Lokalitet aftales 13	38,45	SF H16 MM505
H16	TE	Monday	12-13	*Odense Lokalitet aftales 13	40	SF H16 MM505
H16	TE	Monday	09-10	*Odense Lokalitet aftales 13	44	SF H16 MM505
H16	TE	Monday	12-14	U142	45
H16	TE	Wednesday	12-14	U23A	36-41,43-44
H16	TE	Wednesday	14-16	U143	45
H16	TE	Wednesday	08-09	*Odense Lokalitet aftales 13	47	SF H16 MM505
H16	TE	Wednesday	14-15	*Odense Lokalitet aftales 13	49	SF H16 MM505
H17	TE	Monday	10-12	U144	45
H17	TE	Tuesday	08-10	U147	37
H17	TE	Tuesday	14-16	U156	43
H17	TE	Wednesday	08-10	U154	38
H17	TE	Wednesday	14-16	U72	39
H17	TE	Thursday	12-14	U7	36
H17	TE	Thursday	16-18	U145	41
H17	TE	Thursday	16-18	U153	45
H17	TE	Friday	11-12	*Odense Lokalitet aftales 9	38,45	SF H17 MM505
H17	TE	Friday	10-11	*Odense Lokalitet aftales 9	40	SF H17 MM505
H17	TE	Friday	12-14	U28	40
H17	TE	Friday	12-14	U146	44
H17	TE	Friday	09-10	*Odense Lokalitet aftales 9	44,47	SF H17 MM505
H17	TE	Friday	13-14	*Odense Lokalitet aftales 9	49	SF H17 MM505
H18	TE	Tuesday	10-12	U7	36-38
H18	TE	Tuesday	08-10	U142	39	Flyttet
H18	TE	Tuesday	08-10	U153	43
H18	TE	Wednesday	14-16	U23A	40
H18	TE	Thursday	08-10	U23A	41
H18	TE	Thursday	08-10	U153	44
H18	TE	Thursday	08-10	U31	45
H18	TE	Friday	12-13	*Odense Lokalitet aftales 12	38,44,49	SF H18 MM505
H18	TE	Friday	08-09	*Odense Lokalitet aftales 12	40,47	SF H18 MM505
H18	TE	Friday	12-14	U24	45
H18	TE	Friday	10-11	*Odense Lokalitet aftales 12	45	SF H18 MM505

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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:

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.