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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 - Pass with distinction (5), Pass with credit (4), Pass (3), Fail
Education cycle: First-cycle
Major subject: Mathematics

Teaching language: Swedish
Application code: 63123
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   09 Jan 2021 am J   23 Aug 2021 am J  
0204 Examination, part B 3,7c Grading: TH   3,7c   29 Oct 2020 am L   07 Jan 2021 pm L,  25 Aug 2021 pm L

In programs



Reimond Emanuelsson

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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



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.

Page manager Published: Thu 04 Feb 2021.