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Tampere University Student’s Guide

Course unit, curriculum year 2025–2026
MATH.MA.250

Introduction to Mathematical Reasoning and Number Theory, 5 cr

Tampere University
Teaching periods
Active in period 3 (1.1.2026–1.3.2026)
Active in period 4 (2.3.2026–31.5.2026)
Course code
MATH.MA.250
Language of instruction
Finnish
Academic years
2024–2025, 2025–2026, 2026–2027
Level of study
Basic studies
Grading scale
General scale, 0-5
Persons responsible
Responsible teacher:
Riikka Kangaslampi
Responsible teacher:
Ari Virtanen until 31.7.2025
Responsible teacher:
Samuli Piipponen starting from 1.5.2025
Responsible teacher:
Marja Kankaanrinta, Lukuvuosi 2026-2027
Responsible organisation
Faculty of Information Technology and Communication Sciences 100 %
Coordinating organisation
Computing Sciences Studies 100 %

Induktiotodistukset: 1. ja 2. induktioperiaate, rekursiiviset määritelmät.

Todistuksia joukko-opin peruskäsitteille.

Relaatioiden ominaisuudet.

Kokonaislukujen konstruointi luonnollisista luvuista

Kuvausten ominaisuudet

Mahtavuus

Jaollisuus ja alkuluvut, Aritmetiikan peruslause.

Kongruenssi ja kongruenssiluokat.

Fermat’n pieni lause.

Learning outcomes
Prerequisites
Compulsory prerequisites
Learning material
Equivalences
Studies that include this course
Completion option 1
All parts of the completion option are compulsory.

Participation in teaching

Contact teaching
05.01.2026 22.02.2026
Active in period 3 (1.1.2026–1.3.2026)

Exam

27.02.2026 27.02.2026
Active in period 3 (1.1.2026–1.3.2026)
14.04.2026 14.04.2026
Active in period 4 (2.3.2026–31.5.2026)
13.05.2026 13.05.2026
Active in period 4 (2.3.2026–31.5.2026)
Completion option 2

Exam

27.02.2026 27.02.2026
Active in period 3 (1.1.2026–1.3.2026)
14.04.2026 14.04.2026
Active in period 4 (2.3.2026–31.5.2026)
13.05.2026 13.05.2026
Active in period 4 (2.3.2026–31.5.2026)
Open University completion options
The course is also available at the Open University