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 2015–2016
You are browsing archived teaching schedule. Current teaching schedules can be found here.
MATE5148 Tilings and Patterns 10 ECTS
Period I Period II Period III 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

Teacher responsible

Jarkko Kari

Homepage URL


8-Sep-2015 – 10-Dec-2015
Lectures 56 h
Tue 8-Sep-2015 - 27-Oct-2015 weekly at 14-16, Cal 4, Calonia, (Exception: 8.9. IX, Natura i.e. LT1; 15.9. Edu 2, Educarium; 22.9. Cal 1, Calonia; 29.9. Cal 3, Calonia; 20.10. no lectures)
Wed 9-Sep-2015 - 16-Sep-2015 weekly at 14-16, Cal4, Calonia
Thu 10-Sep-2015 - 10-Dec-2015 weekly at 14-16, Cal 4, Calonia, (Exception: 10.9. Cal 2, Calonia; 1.10. Cal 3, Calonia; 22.10. no lectures)
Tue 3-Nov-2015 - 8-Dec-2015 weekly at 14-16, M3, Quantum
Exercises 26 h
Mon 14-Sep-2015 - 7-Dec-2015 weekly at 14-16, M2, Quantum, (Exception: 19.10. no excercises; 2.11. at 109, Quantum)
Fri 16-Oct-2015 at 10-12, Cal4, Calonia