autumn 2021
MAT-3800 Linear Algebra II - 5 ECTS

Last changed 26.11.2021

Application deadline

Applicants from countries within EU/EEA: June 1st for the autumn semester and December 1st for the spring semester.

Exchange students and Fulbright students: 1 October for the spring semester and 15 April for the autumn semester.


Type of course

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

Admission requirements

A relevant 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

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.


Language of instruction

English

Teaching methods

The course is taught intensively during two non-consecutive weeks, in which a combination of lectures followed by task solving sessions and flipped classroom arrangements are used.

All lectures are streamed and recorded. Videos provided in flipped classroom arrangements are made available to all students attending the course.


Assessment

Coursework / Course requirements: Two voluntary assignments, not to be submitted. One mandatory assignment about learning in linear algebra.

Examination and assessment:

A written school exam, 4 hours.

Scale of grades: A-F in which F means ‘fail’

A re-sit exam will be arranged for this course


Schedule

Recommended reading/syllabus

Pensumliste for MAT-3800 Lineær algebra II
  • About the course
  • Campus: Narvik | Digitalt | Annet |
  • ECTS: 5
  • Course code: MAT-3800