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 opetusohjelma 2017–2018
Selaat vanhentunutta opetusohjelmaa. Voimassa olevan opetusohjelman löydät täältä.
MATE5148 Tilings and Patterns 10 ECTS
Periods
Period I Period II Period III Period IV
Language of instruction
English
Type or level of studies
Advanced studies
Course unit descriptions in the curriculum
Matematiikan tutkinto-ohjelma (FM)
Matematiikka
Department of Mathematics and Statistics

Learning outcomes

To learn the lecture material; to be able to apply the studied concepts and methods to prove new facts concerning tilings and patterns; to be able to identify symmetry groups of patterns; to understand the concept of algorithmic undecidability.

Teacher responsible

Jarkko Kari
jkari[ät]utu.fi

Homepage URL

Teaching

Lectures
Tue 5-Sep-2017 - 12-Dec-2017 weekly at 10-12, M1, Quantum
Exceptions:
19-Sep-2017 , No lecture
24-Oct-2017 , no lecture
Thu 7-Sep-2017 - 14-Dec-2017 weekly at 12-14, M1, Quantum
Exceptions:
21-Sep-2017 , No lecture
26-Oct-2017 , no lecture
Exercises
Mon 11-Sep-2017 - 11-Dec-2017 weekly at 14-16, M1, Quantum
Exceptions:
18-Sep-2017 , No lecture
23-Oct-2017 , no lecture