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Tampere University Student’s Guide

Course unit, curriculum year 2025–2026
MATH.MA.140

Vectors and Matrices, 5 cr

Tampere University
Teaching periods
Active in period 1 (1.8.2025–19.10.2025)
Active in period 2 (20.10.2025–31.12.2025)
Active in period 3 (1.1.2026–1.3.2026)
Active in period 4 (2.3.2026–31.5.2026)
Active in period 5 (1.6.2026–31.7.2026)
Course code
MATH.MA.140
Language of instruction
English, Finnish
Academic years
2024–2025, 2025–2026, 2026–2027
Level of study
Basic studies
Grading scale
General scale, 0-5
Persons responsible
Responsible teacher:
Terhi Kaarakka
Responsible teacher:
Philipp Müller until 31.12.2024
Responsible teacher:
Tanja Palmroth
Responsible teacher:
Manu Harsu 1.1.2025 - 1.6.2025
Responsible teacher:
Jani Jokela starting from 1.6.2025
Responsible organisation
Faculty of Information Technology and Communication Sciences 100 %
Coordinating organisation
Computing Sciences Studies 100 %
Core content

Systems of linear equations: solving using Gaussian elimination.
Linear independence of Euclidian space, subspaces, basis, rank, and dimension of subspaces of an Euclidian space

Different techniques for describing lines and planes

Matrices: matrix algebra, matrix product, transpose matrices, inverse matrices, determinant of matrices, eigenvalues and eigenvectors of matrices

Vectors: cross product, dot product and the vector triple product of vectors

Using Matlab for vector and matrix calculations

Learning outcomes
Prerequisites
Further information
Learning material
Equivalences
Studies that include this course
Completion option 1
Completion of all options is required.

Participation in teaching

25.08.2025 15.10.2025
Active in period 1 (1.8.2025–19.10.2025)
20.10.2025 08.12.2025
Active in period 2 (20.10.2025–31.12.2025)

Exam

14.07.2025 17.08.2025
Active in period 1 (1.8.2025–19.10.2025)
13.10.2025 29.10.2025
Active in period 1 (1.8.2025–19.10.2025)
Active in period 2 (20.10.2025–31.12.2025)
03.10.2025 24.10.2025
Active in period 1 (1.8.2025–19.10.2025)
Active in period 2 (20.10.2025–31.12.2025)
25.08.2025 12.09.2025
Active in period 1 (1.8.2025–19.10.2025)
04.12.2025 18.12.2025
Active in period 2 (20.10.2025–31.12.2025)
25.11.2025 10.12.2025
Active in period 2 (20.10.2025–31.12.2025)
04.11.2025 16.11.2025
Active in period 2 (20.10.2025–31.12.2025)
10.11.2025 21.11.2025
Active in period 2 (20.10.2025–31.12.2025)
20.02.2026 06.03.2026
Active in period 3 (1.1.2026–1.3.2026)
Active in period 4 (2.3.2026–31.5.2026)
23.02.2026 01.03.2026
Active in period 3 (1.1.2026–1.3.2026)
07.01.2026 23.01.2026
Active in period 3 (1.1.2026–1.3.2026)
01.05.2026 10.05.2026
Active in period 4 (2.3.2026–31.5.2026)
24.04.2026 15.05.2026
Active in period 4 (2.3.2026–31.5.2026)
23.03.2026 10.04.2026
Active in period 4 (2.3.2026–31.5.2026)
13.07.2026 31.07.2026
Active in period 5 (1.6.2026–31.7.2026)
01.06.2026 10.06.2026
Active in period 5 (1.6.2026–31.7.2026)
08.06.2026 26.06.2026
Active in period 5 (1.6.2026–31.7.2026)
Completion option 2
Verkkosuoritustavan opetus tapahtuu pääosin etäopetuksena. Opetuksen tukitoimia järjestetään kuitenkin osittain myös lähiopetuksena.
Completion of all options is required.

Exam

14.07.2025 17.08.2025
Active in period 1 (1.8.2025–19.10.2025)
13.10.2025 29.10.2025
Active in period 1 (1.8.2025–19.10.2025)
Active in period 2 (20.10.2025–31.12.2025)
03.10.2025 24.10.2025
Active in period 1 (1.8.2025–19.10.2025)
Active in period 2 (20.10.2025–31.12.2025)
25.08.2025 12.09.2025
Active in period 1 (1.8.2025–19.10.2025)
04.12.2025 18.12.2025
Active in period 2 (20.10.2025–31.12.2025)
25.11.2025 10.12.2025
Active in period 2 (20.10.2025–31.12.2025)
04.11.2025 16.11.2025
Active in period 2 (20.10.2025–31.12.2025)
10.11.2025 21.11.2025
Active in period 2 (20.10.2025–31.12.2025)
20.02.2026 06.03.2026
Active in period 3 (1.1.2026–1.3.2026)
Active in period 4 (2.3.2026–31.5.2026)
23.02.2026 01.03.2026
Active in period 3 (1.1.2026–1.3.2026)
07.01.2026 23.01.2026
Active in period 3 (1.1.2026–1.3.2026)
01.05.2026 10.05.2026
Active in period 4 (2.3.2026–31.5.2026)
24.04.2026 15.05.2026
Active in period 4 (2.3.2026–31.5.2026)
23.03.2026 10.04.2026
Active in period 4 (2.3.2026–31.5.2026)
13.07.2026 31.07.2026
Active in period 5 (1.6.2026–31.7.2026)
01.06.2026 10.06.2026
Active in period 5 (1.6.2026–31.7.2026)
08.06.2026 26.06.2026
Active in period 5 (1.6.2026–31.7.2026)

Participation in teaching

25.08.2025 07.12.2025
Active in period 1 (1.8.2025–19.10.2025)
Active in period 2 (20.10.2025–31.12.2025)
07.01.2026 28.04.2026
Active in period 3 (1.1.2026–1.3.2026)
Active in period 4 (2.3.2026–31.5.2026)
05.01.2026 26.04.2026
Active in period 3 (1.1.2026–1.3.2026)
Active in period 4 (2.3.2026–31.5.2026)
11.05.2026 31.07.2026
Active in period 4 (2.3.2026–31.5.2026)
Active in period 5 (1.6.2026–31.7.2026)
Open University completion options
The course is also available at the Open University