Basic Mathematics and Derivatives 7.5 credits

Matematiska grunder och derivator
First cycle, M0050M
Course syllabus valid: Autumn 2020 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 Niklas Lehto 15 Feb 2019

Last revised
by HUL Niklas Lehto 18 Jun 2020

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 + Swedish upper secondary school courses Physics 2, Chemistry 1, Mathematics 3c (specifik entry A8). Or: Swedish upper secondary school courses Physics B, Chemistry A, Mathematics D (specifik entry 8)

More information about English language requirements


The selection is based on final school grades or Swedish Scholastic Aptitude Test.

Course Aim

After completing the course, students should:

  • have knowledge of and be familiar with key mathematical concepts, methods and logical structures necessary for independent work as an engineer
  • have knowledge of elementary functions and their properties
  • have knowledge in calculus of derivatives
  • be able to use computer tools for numerical computations in the subject areas of the course
  • 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


Basics. Equations. Functions. Limits, continuity, properties of continuous functions. Derivatives, differentials, extreme values​​, equation-solving, graphing. Applications. Use of computer tools.

Lectures and tutorials where theory and example problems are reviewed, with som degree of personal practice.

Mandatory marking conferences for grading of the course assignments.

The assignments may be marked using other methods.

The course is graded with a written exam, and mandatory assignments. To pass the course, both parts need to be passed. The final grade of the course is set by the grade of the written exam.

Transition terms
the course replaces M0038M

Ove Edlund

Literature. Valid from Autumn 2020 Sp 1 (May change until 10 weeks before course start)
Forsling/Neymark: Matematisk analys - En variabel, upplaga 2. Liber, ISBN 978-91-47-10023-1, for course in Swedish.
Adams Robert A: Calculus, A Complete Course. Addison-Wesley, latest edition, for course in English

Course offered by
Department of Engineering Sciences and Mathematics

CodeDescriptionGrade scaleHPStatusFrom periodTitle
0001Written examG U 3 4 56.00MandatoryA19
0002Assignment reportU G#1.50MandatoryA19