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Tampere University Student’s Guide

Course unit, curriculum year 2025–2026
MATH.MA.420

Analysis A: Limit and Continuity, 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.420
Language of instruction
English, Finnish
Academic years
2024–2025, 2025–2026, 2026–2027
Level of study
Intermediate studies
Grading scale
General scale, 0-5
Persons responsible
Responsible teacher:
Jani Jokela
Responsible teacher:
Pasi Raumonen, Hervannan kampuksen suomenkielinen toteutus
Responsible organisation
Faculty of Information Technology and Communication Sciences 100 %
Coordinating organisation
Computing Sciences Studies 100 %

Real numbers, the least upper bound and the greatest lower bound, the limit of a sequence, Bolzano-Weierstrass Theorem, the limit of a function and the epsilon-delta proofs, continuity of a function, Bolzano's Intermediate Value Theorem.

Learning outcomes
Prerequisites
Recommended prerequisites
Learning material
Studies that include this course
Completion option 1
Implementation in English is on Period 2.
All parts of the completion option are compulsory.

Exam

25.02.2026 25.02.2026
Active in period 3 (1.1.2026–1.3.2026)
08.04.2026 08.04.2026
Active in period 4 (2.3.2026–31.5.2026)
08.05.2026 08.05.2026
Active in period 4 (2.3.2026–31.5.2026)

Participation in teaching

Contact teaching
05.01.2026 22.02.2026
Active in period 3 (1.1.2026–1.3.2026)
Scheduled online teaching
05.01.2026 22.02.2026
Active in period 3 (1.1.2026–1.3.2026)
Completion option 2

Exam

25.02.2026 25.02.2026
Active in period 3 (1.1.2026–1.3.2026)
08.04.2026 08.04.2026
Active in period 4 (2.3.2026–31.5.2026)
08.05.2026 08.05.2026
Active in period 4 (2.3.2026–31.5.2026)
Open University completion options
The course is also available at the Open University