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Linear Algebra (3 cr)

Code: RAK1B3-3007

General information


03.12.2021 - 23.01.2022


10.01.2022 - 27.02.2022


3 op

Virtual proportion (cr)

3 op

Teaching languages

  • Finnish

Degree programmes

  • Bachelor of Engineering, Construction Engineering


  • Juhani Paananen

Student groups

  • RAK21


Learning competence
Upon completion of the course, the student will be competent in doing 2D- and 3D-vectors calculations, using vectors to solve problems pertaining to plane and space geometry, calculating basic matrix functions, using calculation tools, using their acquired knowledge in their Professional Studies and the working world.

Working community competence
Students are able to present the stages of linear algebraic problem solving orally and in writing and also via online and virtual communication. Students are able to function in various groups and teams and to manage teams, which seek solutions for linear algebraic problems.

Quality management competence
Students are able to apply both exact and approximate methods to determine the correctness of mathematical work. Students know how to estimate the inaccuracy of measurements and take it into consideration.


- Sum and difference of vectors
- Unit vector
- Dot product
- Cross product
- Scalar and vector components
- Vector applications in statics: resultant, moment

- Matrix algebra
- Matrix inverse
- Determinants
- Eigenvalues and eigenvectors


To be announced at the beginning of the course.

Teaching methods

Lectures and exercises, independent study

Student workload

Total work load of the course: 80 h
- of which scheduled studies: 35 h
- of which autonomous studies: 45 h

Evaluation scale


Assessment criteria, satisfactory (1)

The student is able to calculate sums and moments using the methods of vector calculus. They master the basic rules of matrix calculus and are also able to use their graphical calculator to solve vector and matrix problems in an efficient way.

Assessment criteria, good (3)

The student is able to apply methods of vector calculus in 3D vector problems. They are able to utilize methods of matrix calculus in applications of different types in the spreadsheet environment.

Assessment criteria, excellent (5)

The student is able to use methods of vector and matrix calculus in non-standard problems. If necessary, they are also able to find further information about the topic.

Assessment methods and criteria

Final exam


Mathematical Analysis