Course syllabus for Linear algebra

Course syllabus adopted 2021-02-08 by Head of Programme (or corresponding).

Overview

  • Swedish nameLinjär algebra
  • CodeMVE670
  • Credits6 Credits
  • OwnerTKTFY
  • Education cycleFirst-cycle
  • Main field of studyMathematics, Engineering Physics
  • DepartmentMATHEMATICAL SCIENCES
  • GradingTH - Pass with distinction (5), Pass with credit (4), Pass (3), Fail

Course round 1

  • Teaching language Swedish
  • Application code 57117
  • Open for exchange studentsNo
  • Only students with the course round in the programme overview.

Credit distribution

0121 Examination 6 c
Grading: TH
6 c0 c0 c0 c0 c0 c
  • 26 Okt 2024 pm J
  • 07 Jan 2025 pm J
  • 25 Aug 2025 pm J

In programmes

Examiner

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Eligibility

General entry requirements for bachelor's level (first cycle)
Applicants enrolled in a programme at Chalmers where the course is included in the study programme are exempted from fulfilling the requirements above.

Specific entry requirements

The same as for the programme that owns the course.
Applicants enrolled in a programme at Chalmers where the course is included in the study programme are exempted from fulfilling the requirements above.

Aim

To be one of the courses that develop the competence and knowledge in mathematics for students in the programs Engineering physics and Engineering mathematics. Linear algebra is one of the basic areas of mathematics with a variety of applications. An important part of the course is about the application of concepts and methods in geometry.

Learning outcomes (after completion of the course the student should be able to)

- describe basic concepts in linear algebra and geometri

- describe connections between the various concepts

- apply the knowledge about various concepts in problem solving.

Content

  • systems of linear equations
  • vectors, lines and planes
  • geometry in the plane and in space
  • R^n
  • matrices
  • linear mappings
  • determinants
  • inner product and orthogonality
  • eigenvalues and eigenvectors
  • spectral theory
  • complex numbers. 

Organisation

Lectures and exersice classes.

Literature

Indicated on the course website before the start of the course.

Examination including compulsory elements

Written exam.

The course examiner may assess individual students in other ways than what is stated above if there are special reasons for doing so, for example if a student has a decision from Chalmers on educational support due to disability.