Course syllabus for Linear algebra

The course syllabus contains changes
See changes

Course syllabus adopted 2022-02-09 by Head of Programme (or corresponding).

Overview

  • Swedish nameAlgebra
  • CodeMVE675
  • Credits6 Credits
  • OwnerTIELL
  • Education cycleFirst-cycle
  • Main field of studyMathematics
  • DepartmentMATHEMATICAL SCIENCES
  • GradingTH - Pass with distinction (5), Pass with credit (4), Pass (3), Fail

Course round 1

  • Teaching language Swedish
  • Application code 63119
  • Maximum participants125
  • Open for exchange studentsNo

Credit distribution

0122 Examination, part A 6 c
Grading: TH		6 c
  • 30 Okt 2024 pm L
  • 08 Jan 2025 am L
  • 27 Aug 2025 pm L

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.

Course specific prerequisites

-

Aim

The aim of the course is to give basic knowledge of complex numbers and linear algebra. The course will also give necessary previous knowledge for mathematical treatment of technical problems in future profession and supply a good base for further studies

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

After completion of the course, the student should be able to

  • define basic concepts in linear algebra and basic concepts of complex numbers
  • formulate, and in certain cases prove, fundamental theoremsin linear algebra
  • solve systems of linear equations by matrix methods
  • find the rank of a matrix
  • add, subtract and multiply matrices
  • decide if a matrix is invertible and, if that is the case, find the inverse
  • solve matrix equations
  • apply the algebra of determinants
  • use Cramer s rule
  • add and subtract vectors
  • apply scalar and vectorial multiplication of vectors
  • apply her/his knowledge of vectoralgebra to analytic geometry
  • apply the method of least squares
  • carry out calculations with complex numbers ● solve algebraic equations

Content

Algebra. Trigonometry. Systems of linear equations. Matrices. Determinants. Vectors. Method of least squares. Complex numbers.

Basic Programming assignment during one or two occasions (Mathematica, Matlab, Maple or similar)

Organisation

The course includes about 25 lectures (50h), 7 tutorials (14h) and 96h of homework.

Literature

determined later

Examination including compulsory elements

The examination is based on written exams, grades TH.

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.

The course syllabus contains changes

  • Changes to course rounds:
    • 2024-09-04: Examinator Examinator changed from Tony Johansson (tonyj) to Reimond Emanuelsson (reem) by Viceprefekt
      [Course round 1]