##
autumn 2024

MAT-3800 Linear Algebra II - 5 ECTS

## 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

## 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.

## Teaching methods

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

A video and task scheme is offered for students who cannot attend lectures. Support is provided during task-solving sessions.

During the flipped classroom arrangement, students have access to shorter videos made by the teacher and work with tasks related to the videos, preferably working with their peers in groups. Support is provided by the teacher during these sessions, both to discuss content of the videos and to support 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.

## Schedule

## Examination

Examination: | Duration: | Grade scale: |
---|---|---|

School exam | 4 Hours | A–E, fail F |

## Coursework requirements:To take an examination, the student must have passed the following coursework requirements: |
||

Linear algebra | Approved – not approved |

- About the course
- Campus: Narvik |
- ECTS: 5
- Course code: MAT-3800

- Responsible unit
- Institutt for elektroteknologi

- Tidligere år og semester for dette emnet