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Tampere University Student’s Guide

Course unit, curriculum year 2026–2027
MATH.MA.140

Vectors and Matrices, 5 cr

Tampere University
Teaching periods
Active in period 1 (1.8.2026–18.10.2026)
Active in period 2 (19.10.2026–31.12.2026)
Active in period 3 (1.1.2027–7.3.2027)
Active in period 4 (8.3.2027–31.5.2027)
Active in period 5 (1.6.2027–31.7.2027)
Course code
MATH.MA.140
Language of learning
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 %
Content
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
All parts of the completion option are compulsory.

Participation in teaching

Contact teaching
19.10.2026 – 08.12.2026
Active in period 2 (19.10.2026–31.12.2026)
Contact teaching
19.10.2026 – 06.12.2026
Active in period 2 (19.10.2026–31.12.2026)

Exam

On-site self learning
25.09.2026 – 25.10.2026
Active in period 1 (1.8.2026–18.10.2026)
Active in period 2 (19.10.2026–31.12.2026)
On-site self learning
24.08.2026 – 13.09.2026
Active in period 1 (1.8.2026–18.10.2026)
On-site self learning
03.12.2026 – 16.12.2026
Active in period 2 (19.10.2026–31.12.2026)
On-site self learning
09.11.2026 – 22.11.2026
Active in period 2 (19.10.2026–31.12.2026)
On-site self learning
07.12.2026 – 15.12.2026
Active in period 2 (19.10.2026–31.12.2026)
On-site self learning
08.01.2027 – 14.01.2027
Active in period 3 (1.1.2027–7.3.2027)
On-site self learning
07.01.2027 – 24.01.2027
Active in period 3 (1.1.2027–7.3.2027)
On-site self learning
23.02.2027 – 01.03.2027
Active in period 3 (1.1.2027–7.3.2027)
On-site self learning
21.01.2027 – 28.01.2027
Active in period 3 (1.1.2027–7.3.2027)
On-site self learning
20.02.2027 – 07.03.2027
Active in period 3 (1.1.2027–7.3.2027)
On-site self learning
23.03.2027 – 11.04.2027
Active in period 4 (8.3.2027–31.5.2027)
On-site self learning
24.04.2027 – 16.05.2027
Active in period 4 (8.3.2027–31.5.2027)
On-site self learning
01.05.2027 – 10.05.2027
Active in period 4 (8.3.2027–31.5.2027)
On-site self learning
01.06.2027 – 10.06.2027
Active in period 5 (1.6.2027–31.7.2027)
On-site self learning
08.06.2027 – 27.06.2027
Active in period 5 (1.6.2027–31.7.2027)
On-site self learning
13.07.2027 – 31.07.2027
Active in period 5 (1.6.2027–31.7.2027)
Completion option 2
Verkkosuoritustavan opetus tapahtuu pääosin etäopetuksena. Opetuksen tukitoimia järjestetään kuitenkin osittain myös lähiopetuksena.
All parts of the completion option are compulsory.

Exam

On-site self learning
25.09.2026 – 25.10.2026
Active in period 1 (1.8.2026–18.10.2026)
Active in period 2 (19.10.2026–31.12.2026)
On-site self learning
24.08.2026 – 13.09.2026
Active in period 1 (1.8.2026–18.10.2026)
On-site self learning
03.12.2026 – 16.12.2026
Active in period 2 (19.10.2026–31.12.2026)
On-site self learning
09.11.2026 – 22.11.2026
Active in period 2 (19.10.2026–31.12.2026)
On-site self learning
07.12.2026 – 15.12.2026
Active in period 2 (19.10.2026–31.12.2026)
On-site self learning
08.01.2027 – 14.01.2027
Active in period 3 (1.1.2027–7.3.2027)
On-site self learning
07.01.2027 – 24.01.2027
Active in period 3 (1.1.2027–7.3.2027)
On-site self learning
23.02.2027 – 01.03.2027
Active in period 3 (1.1.2027–7.3.2027)
On-site self learning
21.01.2027 – 28.01.2027
Active in period 3 (1.1.2027–7.3.2027)
On-site self learning
20.02.2027 – 07.03.2027
Active in period 3 (1.1.2027–7.3.2027)
On-site self learning
23.03.2027 – 11.04.2027
Active in period 4 (8.3.2027–31.5.2027)
On-site self learning
24.04.2027 – 16.05.2027
Active in period 4 (8.3.2027–31.5.2027)
On-site self learning
01.05.2027 – 10.05.2027
Active in period 4 (8.3.2027–31.5.2027)
On-site self learning
01.06.2027 – 10.06.2027
Active in period 5 (1.6.2027–31.7.2027)
On-site self learning
08.06.2027 – 27.06.2027
Active in period 5 (1.6.2027–31.7.2027)
On-site self learning
13.07.2027 – 31.07.2027
Active in period 5 (1.6.2027–31.7.2027)

Participation in teaching

Scheduled online teaching, Online-oriented blended teaching
24.08.2026 – 06.12.2026
Active in period 1 (1.8.2026–18.10.2026)
Active in period 2 (19.10.2026–31.12.2026)
Scheduled online teaching
11.01.2027 – 02.05.2027
Active in period 3 (1.1.2027–7.3.2027)
Active in period 4 (8.3.2027–31.5.2027)
Scheduled online teaching, Online-oriented blended teaching
04.01.2027 – 26.04.2027
Active in period 3 (1.1.2027–7.3.2027)
Active in period 4 (8.3.2027–31.5.2027)
Scheduled online teaching, Online-oriented blended teaching
11.05.2027 – 31.07.2027
Active in period 4 (8.3.2027–31.5.2027)
Active in period 5 (1.6.2027–31.7.2027)
Open University completion options
The course is also available at the Open University