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: hjm@imada.sdu.dk

Timetable

Group	Type	Day	Time	Classroom	Weeks
Common	I	Monday	10-12	U9	35
Common	I	Monday	08-10	U9	36
Common	I	Tuesday	08-10	U26	35-41
Common	I	Thursday	12-14	U27	35-39
S1	TE	Monday	10-12	U143	37-40
S1	TE	Wednesday	10-12	U147	35-41
S2	TE	Wednesday	14-16	U58	35-41
S2	TE	Friday	14-16	U147	37
S2	TE	Friday	12-14	U143	38
S2	TE	Friday	08-10	U49d	39
S2	TE	Friday	08-10	U143	40

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Revison of timetable:
: Ekstra hold oprettet.

Comment:
Ubegrænset deltagerantal

Prerequisites:
None

Academic preconditions:
MM501 (Calculus I) and MM502 (Calculus II) must be known.

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

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

Literature

Meddeles ved kursets start.

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. Examination only when the course has been taught. Examination in opposition terms only after acceptance from the Study board.

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.

Course enrollment
See deadline of enrolment.

Tuition fees for single courses
See fees for single courses.