The course is included in these curricula and study modules


Professional studies

Teaching language


Type of course


Recommended year of study


Total number of ECTS

5 cr

Competency aims

The aim of the course is to build up a mathematical basis for further studies in mathematics and physics

Learning outcomes

Upon successful completion of the course the student is expected to
- be able to deal with real and complex numbers
- know elementary functions and their graphs
- be able to solve equations, inequalities and systems of equations
- be able to apply basic concepts of linear algebra

Course contents

Real and Complex Numbers
Functions and their graphs
-Elementary Functions
-Exponential and Logarithmic Functions
-Trigonometric Functions
-Composite and Invers Functions
-Solving Equations, Inequalities and Sets of Equations (also approximative methods)
Linear algebra
- matrices and determinants
- applications on systems of linear equations

Prerequisites and co-requisites

Basic knowledge of mathematics

Previous course names

Mathematics 1

Recommended or required reading

Staffan Rodhe, Håkan Sollervall: Matematik för ingenjörer, femte upplagan,
Almqvist&Wiksell, 1998, ISBN 91-89104-01-3

(Eero Launonen, Esko Sorvali, Pertti Toivonen:
Matematik för tekniska yrken 3 a, Utbildningsstyrelsen, ISBN 951-719-846-9)

Study activities

  • Lectures - 20 hours
  • Exercise based learning - 50 hours
  • Individual studies - 63 hours


  • Total workload of the course: 133 hours
  • Of which autonomous studies: 63 hours
  • Of which scheduled studies: 70 hours

Mode of Delivery

Participation in tuition

Assessment methods

  • Exams
  • Reports and productions

Assessment requirements

To pass the course the student should pass the following examinations:
Examination 1 ....
Examination 2.... etc.
(examinations include written examination tests, demonstrations and presentations, reports and produktions, essays, and also presence at specified occasions)

The examinations contribute to the final grade as follows: ...


Sonja Engman


Engman Sonja

Group size

No limit

Course completion date

Date for course completion will be announced later

Assignments valid until

12 months after course has ended

Assessment methods

  • 2010-05-18 - Exams
  • Date will be announced later - Reports and productions

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