MM505: Linear algebra (5 ECTS)

STADS: 13000501

Level
Bachelor course

Teaching period

1st quarter on 2. year (Scient. students).
4th quarter on 1. year (Mat.Øk students).

Teacher responsible
Email: jessica@imada.sdu.dk

Timetable
Show entire timetable
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Comment:
09.03.2006: Skemaændring

Prerequisites:
None

Academic preconditions:
MM501 Calculus I and gymnasium mathematics A-level 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.

Expected learning outcome


Subject overview
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.

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

Literature

• S. Leon: Linear Algebra with Applications, Prentice Hall..

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 13-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
No recorded information about the language used in the course.

Course enrollment
See deadline of enrolment.

Tuition fees for single courses
See fees for single courses.