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Mathematics III - Differential equations and transforms 7.5 credits

Matematik III - Differentialekvationer, komplexa tal och transformteori
First cycle, M0039M
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 The course M0043M Mathematics II - Calculus and linear algebra or equivalent..

More information about English language requirements


The selection is based on 1-165 credits.

Course Aim

After the course , students should

  • have further deepended the knowledge of and be familiar with key mathematical concepts, methods and logical structures necessary for independent work as an engineer
  • have knowledge in complex numbers, ordinary differential equations of first and second order and transform theory
  • have developed their capacity for critical reflection , planning and mathematical modeling
  • be able to use mathematics as an effective tool for further studies in mathematics, science, technology and economics and in professional life
  • have deepended the knowledge in the use of modern computer-aided calculation and algebra systems .


Complex numbers.
Differential equations : Ordinary differential equations, systems of differential equations. Applications . Improper integrals.
Series. Transform Theory and Applications .
Computer-aided calculations.

Each course occasion´s language and form is stated and appear on the course page on Luleå University of Technology's website.

Teaching is through lectures , tutorials and laboratory sessions. Other forms of teaching can occur.

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.

To pass the course requires an approved individual written exam .
The course is graded .
Required computer laboratory assignments to be reported and approved.

Ove Edlund

Literature. Valid from Spring 2018 Sp 3 (May change until 10 weeks before course start)
Forsling/Neymark: Matematisk analys - En variabel, upplaga 2. Liber AB.
(book is also used in M0038M and M0043M)
Lennerstad/Jogréus: Serier och transformer, upplaga 3, Studentlitteratur, ISBN: 978-91-44-08996-6.

Course offered by
Department of Engineering Sciences and Mathematics

CodeDescriptionGrade scaleCrStatusFrom periodTitle
0001Written examG U 3 4 56.90MandatoryS11
0002LaborationG U 3 4 50.60MandatoryS11

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 19 Feb 2010

Last revised
by Head Faculty Programme Director Niklas Lehto 17 Feb 2021