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Course unit, curriculum year 2020–2021
MATH.MA.140

Vectors and Matrices, 5 cr

Tampere University
Teaching periods
Active in period 1 (1.8.2020–18.10.2020)
Active in period 2 (19.10.2020–31.12.2020)
Active in period 3 (1.1.2021–7.3.2021)
Active in period 4 (8.3.2021–31.5.2021)
Active in period 5 (1.6.2021–31.7.2021)
Course code
MATH.MA.140
Language of instruction
English, Finnish
Academic year
2020–2021
Level of study
Basic studies
Grading scale
General scale, 0-5
Persons responsible
Responsible teacher:
Terhi Kaarakka
Responsible teacher:
Tapio Nummi
Responsible teacher:
Johanna Rämö
Responsible teacher:
Jussi Kangas
Responsible teacher:
Simo Ali-Löytty
Responsible organisation
Faculty of Information Technology and Communication Sciences 100 %
Core content

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

Lines and planes.

Matrices: matrix algebra, matrix product, the transpose, the inverse, the determinant, Eigenvalues and eigenvectors. The cross product, the dot product and the vector triple product of vectors. 



Complementary knowledge

Basic competence in using matlab to solve mathematical problems

Learning outcomes
Prerequisites
Learning material
Equivalences
Studies that include this course
Completion option 1
Osallistuminen opetukseen, harjoitustehtävät, itse- ja vertaisarviointi, ajankäyttösuunnitelma, välinäytöt ja tentti. Suoritusvaatimukset esitellään tarkemmin toteutuskerran Moodle-sivulla.

Participation in teaching

11.01.2021 27.02.2021
Active in period 3 (1.1.2021–7.3.2021)
Completion option 2

Independent study

27.07.2020 16.08.2020
Active in period 1 (1.8.2020–18.10.2020)
19.10.2020 06.12.2020
Active in period 2 (19.10.2020–31.12.2020)
17.05.2021 31.07.2021
Active in period 4 (8.3.2021–31.5.2021)
Active in period 5 (1.6.2021–31.7.2021)
15.06.2021 31.07.2021
Active in period 5 (1.6.2021–31.7.2021)
Completion option 3
Completion of all options is required.

Participation in teaching

12.03.2021 30.04.2021
Active in period 4 (8.3.2021–31.5.2021)

Exam

01.03.2021 01.03.2021
Active in period 3 (1.1.2021–7.3.2021)
08.02.2021 07.07.2021
Active in period 3 (1.1.2021–7.3.2021)
Active in period 4 (8.3.2021–31.5.2021)
Active in period 5 (1.6.2021–31.7.2021)
04.05.2021 04.05.2021
Active in period 4 (8.3.2021–31.5.2021)
08.03.2021 30.04.2021
Active in period 4 (8.3.2021–31.5.2021)

Independent study

08.03.2021 25.04.2021
Active in period 4 (8.3.2021–31.5.2021)
Completion option 4
Osallistuminen opetukseen, harjoitustehtävät, itse- ja vertaisarviointi, ajankäyttösuunnitelma, välinäytöt ja tentti. Suoritusvaatimukset esitellään tarkemmin toteutuskerran Moodle-sivulla.

Participation in teaching

19.10.2020 02.12.2020
Active in period 2 (19.10.2020–31.12.2020)
Completion option 5
The target group of this complement option is international students. The English implementation will be accomplish in the third period of the academic year.
Completion of all options is required.

Participation in teaching

19.10.2020 03.12.2020
Active in period 2 (19.10.2020–31.12.2020)
11.01.2021 28.02.2021
Active in period 3 (1.1.2021–7.3.2021)

Exam

01.03.2021 01.03.2021
Active in period 3 (1.1.2021–7.3.2021)
08.02.2021 07.07.2021
Active in period 3 (1.1.2021–7.3.2021)
Active in period 4 (8.3.2021–31.5.2021)
Active in period 5 (1.6.2021–31.7.2021)
04.05.2021 04.05.2021
Active in period 4 (8.3.2021–31.5.2021)
08.03.2021 30.04.2021
Active in period 4 (8.3.2021–31.5.2021)
Completion option 6
Maisterivaiheen opiskelijoille suunnattu suoritustapa
Completion of all options is required.

Independent study

24.08.2020 11.12.2020
Active in period 1 (1.8.2020–18.10.2020)
Active in period 2 (19.10.2020–31.12.2020)

Participation in teaching

31.08.2020 26.11.2020
Active in period 1 (1.8.2020–18.10.2020)
Active in period 2 (19.10.2020–31.12.2020)
26.08.2020 03.12.2020
Active in period 1 (1.8.2020–18.10.2020)
Active in period 2 (19.10.2020–31.12.2020)

Exam

24.08.2020 11.12.2020
Active in period 1 (1.8.2020–18.10.2020)
Active in period 2 (19.10.2020–31.12.2020)
01.01.2021 31.01.2021
Active in period 3 (1.1.2021–7.3.2021)