## Type of course

The course can be taken as a single course. Theoretical.

An undergraduate Bachelor Engineering program with minimum 25 credits mathematics, 5 credits statistics, 7,5 credits physics

Application code: 9371

Recommended passed mathematics courses in the bachelor engineering education or corresponding mathematics courses.

## Course overlap

Du vil få en reduksjon i antall studiepoeng (som oppgitt under), dersom du avlegger eksamen i dette emnet og har bestått følgende emne(r) fra før av:

SMN6190 Linear Algebra II 5 stp

## Course content

• Particular and general vector spaces
• Basis and subspaces
• Inner product spaces
• The Gram-Schmidt process
• Least-squares problems
• Extension of the theory of eigenvalues and eigenvectors
• Diagonalization with generalizations
• Singular value decompositions
• Linear transformations with matrix representation

## Recommended prerequisites

IGR1518 Mathematics 1 (3-semester), IGR1600 Mathematics 1, IGR1603 Physics/Chemistry, IGR1613 Mathematics 3 / Physics 2, TEK-1507 Mathematics 1, TEK-1510 Mathematics 1 (3-semester), TEK-1516 Mathematics 2, TEK-2800 Mathematics 3, TEK-2801 Physics 2

## Objectives of the course

Knowledge (K):

After completing the linear algebra course the candidate:

• Has advanced knowledge of concepts within linear algebra.
• Has thorough knowledge of central theories and methodologies within the listed concepts in linear algebra and know how to apply these in mathematical problems.
• Can analyse formulated linear algebra problems and identify methods to solve these.

Skills (S):

After completing the linear algebra course the candidate:

• Can recognize and identify linear problems and formulate them in terms of linear systems.
• Can analyse and deal critically with theories in linear algebra and use these to structure and formulate scholarly arguments.
• Can utilise existing interpretations and relevant methods within the field to accomplish a task.
• Can use relevant methods within the field.

General competence (GC):

After completing the linear algebra course the candidate:

• Can analyse relevant linear problems.
• Can apply the knowledge and skills within linear algebra to carry out assignments.
• Can communicate about different aspects in linear algebra, particularly explaining in mathematical terms how to deal with mathematical tasks.
• Can use the knowledge for concepts, theories and methods in linear algebra in other engineering areas.

English

## Teaching methods

The course is taught intensively during two non-consecutive weeks. A combination of lectures followed by task solving sessions and flipped classroom arrangements will be used.

A videos-and-tasks arrangement is offered.for students who are unable to meet to lectures. Support is provided during task solving sessions.

During flipped classroom arrangements, students watch videos made by the teacher and work with tasks related to the videos, preferably working with peers in groups. Support is provided by the teacher during these sessions, both to discuss content in videos and as support in task solving processes.

## Information to incoming exchange students

This course is open for inbound exchange student who meets the admission requirements. Please see the Admission requirements" section".

Master Level

Do you have questions about this module? Please check the following website to contact the course coordinator for exchange students at the faculty: https://en.uit.no/education/art?p_document_id=510412.

## Examination

Examination: Duration: Grade scale:
School exam 4 Hours A–E, fail F

## Work requirement

To take an examination, the student must have passed the following coursework requirements:
Linear algebra Approved/ Not approved
UiT Exams homepage

One mandatory assignment about learning in linear algebra is to be submitted.

Two voluntary assignments, one for each teaching week, are not to be submitted.

## Re-sit examination

A resit exam is offered
• About the course
• Campus: Narvik |
• ECTS: 5
• Course code: MAT-3800
• Tidligere år og semester for dette emnet