Uusi opinto-opas (sisältäen myös opetusohjelmat) lukuvuodelle 2018-2019 sijaitsee osoitteessa https://opas.peppi.utu.fi . Tältä sivustolta löytyvät enää vanhat opinto-oppaat ja opetusohjelmat.

The new study guide (incl. teaching schedules) for academic year 2018-2019 can be found at https://studyguide.utu.fi. This site contains only previous years' guides.

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Arkistoitu opetussuunnitelma 2013–2014
Selaamasi opetussuunnitelma ei ole enää voimassa. Tarkista tiedot voimassa olevasta opetussuunnitelmasta.
BIOI0010 Supplementary Mathematics 3 op
Organised by
Person in charge
Juho Heimonen
Planned organizing times
Period(s) I II III IV
2013–2014 X

Learning outcomes

In this course students will practice the basic mathematical skills required to understand other courses. The aim is to master Finnish high school level mathematics. This course is not needed if one passes an initial test organized in September. The initial test is based on the actual course content; material for self-studying is provided in advance. Students who feel unconfident with their mathematical skills or have a need to refresh their memory are strongly recommended to take the course even if they pass the initial test.


Review and practice of the school level mathematics (powers, roots, logarithms, quadratic equations, inequalities, function theory, differentiation, integrals, sequences, series, mathematical induction, vectors, etc.).

Teaching methods

Teaching method Contact Online
Lectures 12 h 0 h
Exercises 8 h 0 h

Teaching language


Modes of study

Option 1
Available for:
  • Degree Programme Students
  • Other Students
  • Doctoral Students
  • Exchange Students
Participation in classroom work
  • In English
Written exam
  • In English
Participation in classroom work and Written exam

Home exercises are discussed in demonstration sessions during which students represent their answers to others. At least 50% of these exercises must be completed.


Numeric 0-5.

Recommended year of study

1. year

Study materials

Lecture notes and supplementary books.

Belongs to following study modules

Tulevaisuuden teknologioiden laitos
Tulevaisuuden teknologioiden laitos
Archived Teaching Schedule. Please refer to current Teaching Shedule.
Implementation details are unavailable.
Tulevaisuuden teknologioiden laitos