Vectors and MatricesLaajuus (3 cr)
Code: AE00CM43
Objective
Students will be competent in using the mathematical methods described in the course contents to solve practical mathematical problems.
Content
Vectors in plane and space
Matrix algebra
Linear system of equations
Rotations and coordinate changes
Qualifications
Algebra and geometry
Assessment criteria, satisfactory (1)
satisfactory (1-2): The student knows and understands to a satisfactory extent the basic concepts and methods of vectors and matrices, 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 vectors and matrices, 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 vectors and matrices, 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
Enrollment
11.11.2024 - 15.01.2025
Timing
07.01.2025 - 23.02.2025
Credits
3 op
Teaching languages
- English
Degree programmes
- Bachelor of Engineering, Automation Engineering
Teachers
- Tommi Ylimäki
Student groups
-
AE24Bachelor of Engineering, Automation Engineering
Objective
Students will be competent in using the mathematical methods described in the course contents to solve practical mathematical problems.
Content
Vectors in plane and space
Matrix algebra
Linear system of equations
Rotations and coordinate changes
Materials
Lecture notes
Material in Moodle
Teaching methods
lectures and exercises
Student workload
81h (Scheduled studies 32 h + autonomous studies 49 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 vectors and matrices, 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 vectors and matrices, 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 vectors and matrices, 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 + exercises
Qualifications
Algebra and geometry
Enrollment
13.11.2023 - 21.02.2024
Timing
04.03.2024 - 28.04.2024
Credits
3 op
Teaching languages
- English
Degree programmes
- Bachelor of Engineering, Automation Engineering
Teachers
- Tommi Ylimäki
Student groups
-
AFE23Bachelor of Engineering, Agri-Food Engineering , full time studies
Objective
Students will be competent in using the mathematical methods described in the course contents to solve practical mathematical problems.
Content
Vectors in plane and space
Matrix algebra
Linear system of equations
Rotations and coordinate changes
Materials
Lecture notes
Material in Moodle
Teaching methods
lectures and exercises
Student workload
81h (Scheduled studies 32 h + autonomous studies 49 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 vectors and matrices, 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 vectors and matrices, 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 vectors and matrices, 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 + exercises
Qualifications
Algebra and geometry
Enrollment
13.11.2023 - 17.01.2024
Timing
08.01.2024 - 25.02.2024
Credits
3 op
Teaching languages
- English
Degree programmes
- Bachelor of Engineering, Automation Engineering
Teachers
- Tommi Ylimäki
Student groups
-
AE23Bachelor of Engineering, Automation Engineering
Objective
Students will be competent in using the mathematical methods described in the course contents to solve practical mathematical problems.
Content
Vectors in plane and space
Matrix algebra
Linear system of equations
Rotations and coordinate changes
Materials
Lecture notes
Material in Moodle
Teaching methods
lectures and exercises
Student workload
81h (Scheduled studies 32 h + autonomous studies 49 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 vectors and matrices, 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 vectors and matrices, 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 vectors and matrices, 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 + exercises
Qualifications
Algebra and geometry
Enrollment
14.11.2022 - 22.02.2023
Timing
06.03.2023 - 30.04.2023
Credits
3 op
Teaching languages
- Finnish
Degree programmes
- Bachelor of Engineering, Automation Engineering
Teachers
- Pekka Sahimaa
Student groups
-
AFE22ABachelor of Engineering, Agri-Food Engineering, full time studies
Objective
Students will be competent in using the mathematical methods described in the course contents to solve practical mathematical problems.
Content
Vectors in plane and space
Matrix algebra
Linear system of equations
Rotations and coordinate changes
Materials
Lecture notes
Material in Moodle
Teaching methods
lectures and exercises
Student workload
81h (Scheduled studies 32 h + autonomous studies 49 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 vectors and matrices, 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 vectors and matrices, 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 vectors and matrices, 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 + exercises
Qualifications
Algebra and geometry
Enrollment
14.11.2022 - 15.01.2023
Timing
09.01.2023 - 26.02.2023
Credits
3 op
Teaching languages
- English
Degree programmes
- Bachelor of Engineering, Automation Engineering
Teachers
- Pasi Mikkonen
Student groups
-
AE22BBachelor of Engineering, Automation Engineering, remote
Objective
Students will be competent in using the mathematical methods described in the course contents to solve practical mathematical problems.
Content
Vectors in plane and space
Matrix algebra
Linear system of equations
Rotations and coordinate changes
Materials
Lecture notes
Material in Moodle
Teaching methods
lectures and exercises
Student workload
81h (Scheduled studies 32 h + autonomous studies 49 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 vectors and matrices, 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 vectors and matrices, 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 vectors and matrices, 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 + exercises
Qualifications
Algebra and geometry
Enrollment
14.11.2022 - 15.01.2023
Timing
09.01.2023 - 26.02.2023
Credits
3 op
Teaching languages
- English
Degree programmes
- Bachelor of Engineering, Automation Engineering
Teachers
- Pekka Sahimaa
Student groups
-
AE22ABachelor of Engineering, Automation Engineering
Objective
Students will be competent in using the mathematical methods described in the course contents to solve practical mathematical problems.
Content
Vectors in plane and space
Matrix algebra
Linear system of equations
Rotations and coordinate changes
Materials
Lecture notes
Teaching methods
lectures and exercises
Student workload
81h (Scheduled studies 32 h + autonomous studies 49 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 vectors and matrices, 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 vectors and matrices, 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 vectors and matrices, 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
exercises
Qualifications
Algebra and geometry
Enrollment
14.11.2022 - 22.02.2023
Timing
09.01.2023 - 26.02.2023
Credits
3 op
Teaching languages
- Finnish
Degree programmes
- Bachelor of Engineering, Automation Engineering
Teachers
- Pekka Sahimaa
Student groups
-
AFE22BBachelor of Engineering, Agri-Food Engineering, full time studies
Objective
Students will be competent in using the mathematical methods described in the course contents to solve practical mathematical problems.
Content
Vectors in plane and space
Matrix algebra
Linear system of equations
Rotations and coordinate changes
Materials
Lecture notes
Material in Moodle
Teaching methods
lectures and exercises, hybrid teaching (classroom teaching + Teams)
Student workload
81h (Scheduled studies 32 h + autonomous studies 49 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 vectors and matrices, 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 vectors and matrices, 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 vectors and matrices, 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 + exercises
Qualifications
Algebra and geometry
Enrollment
07.02.2022 - 20.03.2022
Timing
07.03.2022 - 08.05.2022
Credits
3 op
Teaching languages
- Finnish
Degree programmes
- Bachelor of Engineering, Automation Engineering
Teachers
- Pekka Sahimaa
Student groups
-
AE21Bachelor of Engineering, Automation Engineering
Objective
Students will be competent in using the mathematical methods described in the course contents to solve practical mathematical problems.
Content
Vectors in plane and space
Matrix algebra
Linear system of equations
Rotations and coordinate changes
Materials
to be announced
Teaching methods
lectures and exercises
Student workload
81h (Scheduled studies 32 h + autonomous studies 49 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 vectors and matrices, 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 vectors and matrices, 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 vectors and matrices, 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 + exercises
Qualifications
Algebra and geometry