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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Archived teaching schedules 2016–2017
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MATE5038 Combinatorial Enumeration 5 ECTS
Period I Period II Period II Period IV
Language of instruction
Type or level of studies
Advanced studies
Course unit descriptions in the curriculum
DP in Mathematics
Department of Mathematics and Statistics

Learning outcomes

The special interest in the course is in counting objects according to given problem settings. In many instances it is not sufficient just to count the objects satisfying certain properties. Instead, one is required to count the types of these objects when a classification or criterion is given for objects to be similar. Such restrictions refer to symmetry, and the methods for counting often use elementary group theory.

Teacher responsible

Tero Harju

Homepage URL


Wed 11-Jan-2017 - 22-Feb-2017 weekly at 10-12, M3, Quantum
Fri 13-Jan-2017 - 24-Feb-2017 weekly at 10-12, M3, Quantum
Thu 19-Jan-2017 - 23-Feb-2017 weekly at 12-14, M2, Quantum