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Graduate courses

Departments' graduate courses for PhD-students.


Syllabus for

Academic year
LMA212 - Linear algebra
Syllabus adopted 2019-02-13 by Head of Programme (or corresponding)
Owner: TIELL
6,0 Credits
Grading: TH - Five, Four, Three, Fail
Education cycle: First-cycle
Major subject: Mathematics

The course is full. For waiting list, please contact the director of studies:
Teaching language: Swedish
Application code: 63112
Open for exchange students: No
Maximum participants: 125
Only students with the course round in the programme plan

Module   Credit distribution   Examination dates
Sp1 Sp2 Sp3 Sp4 Summer course No Sp
0104 Intermediate test, part A 2,3c Grading: TH   2,3c   07 Jan 2020 pm L,  24 Aug 2020 am L
0204 Examination, part B 3,7c Grading: TH   3,7c   31 Oct 2019 am L,  09 Jan 2020 pm L,  26 Aug 2020 am L

In programs



Reimond Emanuelsson

  Go to Course Homepage


In order to be eligible for a first cycle course the applicant needs to fulfil the general and specific entry requirements of the programme(s) that has the course included in the study programme.

Course specific prerequisites



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


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)


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


determined later

Examination including compulsory elements

The examination is based on written exams, grades TH.

Published: Wed 26 Feb 2020.