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Linear Algebra, Ingtegral Calculus and Learning 7.5 credits

Linjär algebra, integralkalkyl och lärande
First cycle, M0058M
Course syllabus valid: Autumn 2021 Sp 1 - Present
The version indicates the term and period for which this course syllabus is valid. The most recent version of the course syllabus is shown first.

Education level
First cycle
Grade scale
G U 3 4 5
Subject group (SCB)

Entry requirements

In order to meet the general entry requirements for first cycle studies you must have successfully completed upper secondary education and documented skills in English language and Differential calculus and Learning or eqivalent.

More information about English language requirements


The selection is based on 1-165 credits.

Course Aim
After finishing the course, the student should

Knowledge and understanding
  • know basic concepts, theory and methods in linear algebra and integral calculus.
  • be able to translate subject didactic research in the field into a subject didactic reasoning.

Färdighet och förmåga

  • solve relevant mathematical and technical problems related to linear algebra and integral calculus.
  • do a didactical analysis of the mathematical field.

Värderingsförmåga och förhållningssätt

  • critically assess the relevance of linear algebra and integral calculation in technical areas and link the mathematical field to a context relevant to upper secondary school students.

Integrals: definition, properties, methods of computation, primitive functions, area and volume, generalized integrals.

Linear algebra: vectors and matrices, linear independence, linear systems of equations, determinants. Learning: upper secondary school students learning in linear algebra and integral calculus.

Learning: upper secondary school students learning in linear algebra and integral calculus.

Each course occasion´s language and form is stated and appear on the course page on Luleå University of Technology's website.
The course's working methods consist of lectures, lessons, computer exercises and seminars. The student conducts a didactic analysis and writes a short report in which the mathematical content is related to governing documents for upper secondary school. The elements that require compulsory attendance are stated in the course study guide (in the event of absence, the student performs supplementary assignments according to the instructions in the study guide).

If there is a decision on special educational support, in accordance with the Guideline Student's rights and obligations at Luleå University of Technology, an adapted or alternative form of examination can be provided.
The course aims are examined by an individual written exam and compulsory course assignments that must be approved.

Cannot be included in the degree together with M0048M or M0030M.

Peter Wall

Literature. Valid from Autumn 2021 Sp 1 (May change until 10 weeks before course start)
Adams Robert A, Essex C: Calculus, A Complete Course. Pearson, senaste upplagan.
Lay D: Linear algebra and its applications. Addison-Wesley, senaste upplagan.
P. Jönsson: MATLAB-beräkningar inom teknik och naturvetenskap, Studentlitteratur, senaste upplagan.

Course offered by
Department of Engineering Sciences and Mathematics

CodeDescriptionGrade scaleCrStatusFrom periodTitle
0002Course assignmnentU G#1.50MandatoryA21
0003Written examG U 3 4 56.00MandatoryA21

Study guidance
Study guidance for the course is to be found in our learning platform Canvas before the course starts. Students applying for single subject courses get more information in the Welcome letter. You will find the learning platform via My LTU.

Syllabus established
by Head Faculty Programme Director Niklas Lehto 17 Feb 2021

Last revised