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Mathematics G5 7.5 pre-education credits

Matematik G5
Pre-university level, MX008M
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.

Grade scale
U G#
Subject (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


Course Aim

After completing the course, students should:

  • Have a solid introduction to studies in mathematics on university level
  • Have knowledge in elementary functions and basic mathematical logic
  •  Be able to demonstrate, articulate and use the binomial theorem and implement proof by induction.
  • Use key concepts and methods in the calculus of one variable on extreme value calculations and graphing, proof of inequalities, limit calculations, analysis of functions and expressions, inverses, approximations of functions, etc.
  • To prove the central theorems in the field of differential calculus in one variable.
  •  Be able to interpret the derivative as a rate and interpret the second derivative as acceleration and apply it to problems associated with speeds
  • Be able to manage and prove key properties of elementary functions and their inverses.
  • Demonstrate the ability to identify and solve problems using the methods taught in the course.


Logic , Mathematical Sets, The Binomial theorem, Induction, Limits, Continuous functions, Inverse functions, Logarithm functions, Differentiation, Implicit differentiation, Solution of equations, Introduction to Matlab and Gender.

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

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.
Written examination.

Cannot be included in the degree together with M0045M Mathematics F

Juha Koivuniemi

Literature. Valid from Autumn 2020 Sp 1 (May change until 10 weeks before course start)
Adams Robert A: Calculus, A Complete Course. Addison-Wesley, senaste upplagan.

Course offered by
Department of Engineering Sciences and Mathematics

CodeDescriptionGrade scaleFupStatusFrom periodTitle
0002Written examU G#7.50MandatoryA21

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 HUL Niklas Letho 14 Feb 2020

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