Skip to content


Mathematics IV, supplementary course 7.5 Credits

Matematik IV - Överbryggnadskurs i Matematik
First cycle, M0044M
Course syllabus valid: Autumn 2017 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.

Syllabus established
by Head of Department Elisabet Kassfeldt 21 Jun 2012

Last revised
by Mats Näsström 15 Feb 2017

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

More information about English language requirements


The selection is based on 1-165 credits.

Course Aim

After completing the course, the student  

  • should  have knowledge of and be familiar with key mathematical concepts, methods and logical structures
  • have knowledge about multivariable calculus and  linear algebra
  • should have developed the capacity for critical analysis, planning and modeling
  • use mathematics as an effective tool for further studies in mathematics, science, technology and economics as well as in professional life
  • have knowledge in the use of modern CAS systems
  • be able to identify the need for further deepening and development of their mathematical skills
  • have acquired the mathematical material that is required for further studies at MSc level at Luleå University of Technology


Functions of several variables, derivatives, differentials, Taylor polynomials, extreme values, multiple integrals, line integrals, vector analysis and geometric applications. Selected parts from linear algebra. Computer Algebra Systems.

Teaching consists of lectures, tutorials and laboratory work. Other forms of teaching can occur


To pass the course requires an approved written examination.
The course is given with differentiated grades.
Compulsory computer exercises which are to be reported and approved.
Alternative examination forms can occur.

Transition terms

This course applies to the transition to MSc engineering programs at Luleå University of Technology . However, other transitional rules apply  for transition to  Master Programme in Mechanical Engineering.

Ove Edlund

Literature. Valid from Autumn 2017 Sp 1 (May change until 10 weeks before course start)
Adams-Essex: Calculus—A Complete Course. Edition 8. Pearson.
ISBN 978-0-321-78107-9.

Lay-Lay-McDonald: Linear Algebra and its Applications. Edition 5. Pearson.
ISBN 978-1-292-09223-2, alternatively

Course offered by
Department of Engineering Sciences and Mathematics

0003Written exam7.5G U 3 4 5

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.