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Matrix algebraLaajuus (3 cr)

Code: KC00CC55

Objective

Upon completion of the course, students will possess basic knowledge of matrices and matrix algebra needed in the courses Finite-element Methods, Mechanics of Vibrations and Simulation of Machines.

Content

- Definitions, transposing, determinants, inverse of a matrix
- Solving a linear system of equations
- Gauss elimination method
- Eigenvalues and eigenvectors
- Diagonalisation
- Use of mathematics software

Qualifications

No previous studies are required.

Assessment criteria, satisfactory (1)

satisfactory (1-2): The student knows and understands to a satisfactory extent the basic concepts and methods of matrix algebra, and is able to apply them to usual problems.

Assessment criteria, good (3)

good (3-4): The student is familiar with the concepts and methods of matrix algebra, and is able to apply them to different types of problems. The student is able to combine the accumulated knowledge and skills with previous experiences in the subject.

Assessment criteria, excellent (5)

excellent (5): The student is familiar with the concepts and methods of matrix algebra, and is able to apply them to a variety of different problems. The student has demonstrated creativity and innovation, and is able to find new meanings when applying what they have learned.

Materials

Lecture material

Enrollment

22.04.2024 - 09.10.2024

Timing

21.10.2024 - 15.12.2024

Credits

3 op

Teaching languages
  • Finnish
Degree programmes
  • Bachelor of Engineering, Mechanical Engineering
Teachers
  • Pekka Sahimaa
Student groups
  • AUTO22
  • KONE22
  • MKONE22

Objective

Upon completion of the course, students will possess basic knowledge of matrices and matrix algebra needed in the courses Finite-element Methods, Mechanics of Vibrations and Simulation of Machines.

Content

- Definitions, transposing, determinants, inverse of a matrix
- Solving a linear system of equations
- Gauss elimination method
- Eigenvalues and eigenvectors
- Diagonalisation
- Use of mathematics software

Materials

Lecture material

Evaluation scale

1-5

Assessment criteria, satisfactory (1)

satisfactory (1-2): The student knows and understands to a satisfactory extent the basic concepts and methods of matrix algebra, and is able to apply them to usual problems.

Assessment criteria, good (3)

good (3-4): The student is familiar with the concepts and methods of matrix algebra, and is able to apply them to different types of problems. The student is able to combine the accumulated knowledge and skills with previous experiences in the subject.

Assessment criteria, excellent (5)

excellent (5): The student is familiar with the concepts and methods of matrix algebra, and is able to apply them to a variety of different problems. The student has demonstrated creativity and innovation, and is able to find new meanings when applying what they have learned.

Qualifications

No previous studies are required.

Enrollment

17.04.2023 - 11.10.2023

Timing

23.10.2023 - 17.12.2023

Credits

3 op

Teaching languages
  • Finnish
Degree programmes
  • Bachelor of Engineering, Mechanical Engineering
Teachers
  • Pekka Sahimaa
Student groups
  • KONE21
  • AUTO21
  • MKONE21

Objective

Upon completion of the course, students will possess basic knowledge of matrices and matrix algebra needed in the courses Finite-element Methods, Mechanics of Vibrations and Simulation of Machines.

Content

- Definitions, transposing, determinants, inverse of a matrix
- Solving a linear system of equations
- Gauss elimination method
- Eigenvalues and eigenvectors
- Diagonalisation
- Use of mathematics software

Materials

to be announced

Teaching methods

lectures and independent study

Student workload

81h

Evaluation scale

1-5

Assessment criteria, satisfactory (1)

satisfactory (1-2): The student knows and understands to a satisfactory extent the basic concepts and methods of matrix algebra, and is able to apply them to usual problems.

Assessment criteria, good (3)

good (3-4): The student is familiar with the concepts and methods of matrix algebra, and is able to apply them to different types of problems. The student is able to combine the accumulated knowledge and skills with previous experiences in the subject.

Assessment criteria, excellent (5)

excellent (5): The student is familiar with the concepts and methods of matrix algebra, and is able to apply them to a variety of different problems. The student has demonstrated creativity and innovation, and is able to find new meanings when applying what they have learned.

Assessment methods and criteria

exam

Qualifications

No previous studies are required.

Enrollment

16.04.2022 - 12.10.2022

Timing

24.10.2022 - 18.12.2022

Credits

3 op

Teaching languages
  • Finnish
Degree programmes
  • Bachelor of Engineering, Mechanical Engineering
Teachers
  • Pekka Sahimaa
Student groups
  • MKONE20
  • KONE20
  • AUTO20

Objective

Upon completion of the course, students will possess basic knowledge of matrices and matrix algebra needed in the courses Finite-element Methods, Mechanics of Vibrations and Simulation of Machines.

Content

- Definitions, transposing, determinants, inverse of a matrix
- Solving a linear system of equations
- Gauss elimination method
- Eigenvalues and eigenvectors
- Diagonalisation
- Use of mathematics software

Materials

Material in Moodle
Lecture notes

Teaching methods

lectures and independent study

Student workload

81h, contact teaching 28 h

Evaluation scale

1-5

Assessment criteria, satisfactory (1)

satisfactory (1-2): The student knows and understands to a satisfactory extent the basic concepts and methods of matrix algebra, and is able to apply them to usual problems.

Assessment criteria, good (3)

good (3-4): The student is familiar with the concepts and methods of matrix algebra, and is able to apply them to different types of problems. The student is able to combine the accumulated knowledge and skills with previous experiences in the subject.

Assessment criteria, excellent (5)

excellent (5): The student is familiar with the concepts and methods of matrix algebra, and is able to apply them to a variety of different problems. The student has demonstrated creativity and innovation, and is able to find new meanings when applying what they have learned.

Assessment methods and criteria

Written course-end examination

Qualifications

No previous studies are required.