Vectors and MatricesLaajuus (3 cr)
Code: KC00AMT1010
Objective
Upon completion of the course, students will be competent in:
- doing 3D vector calculations.
- using vectors to solve problems pertaining to space geometry.
- solving equations of a straight line.
- utilising linear optimization.
- doing matrix algebra
- using calculation tools.
- utilising the above-mentioned methods in their Professional Studies and in the working world.
Content
- Addition of vector
- Unit vectors
- Scalar product and cross product
- Scalar component and vector component
- Scalar triple product
- Vectors in statics
- Equation of a straight line
- Linear optimization
- Matrix algebra
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.
Materials
To be announced at the beginning of the course.
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, Automation Engineering
Teachers
- Pasi Mikkonen
Student groups
-
MAUTE24Insinööri (AMK), Automaatiotekniikka, monimuotototeutus
Objective
Upon completion of the course, students will be competent in:
- doing 3D vector calculations.
- using vectors to solve problems pertaining to space geometry.
- solving equations of a straight line.
- utilising linear optimization.
- doing matrix algebra
- using calculation tools.
- utilising the above-mentioned methods in their Professional Studies and in the working world.
Content
- Addition of vector
- Unit vectors
- Scalar product and cross product
- Scalar component and vector component
- Scalar triple product
- Vectors in statics
- Equation of a straight line
- Linear optimization
- Matrix algebra
Materials
to be announced
Teaching methods
lectures and exercises
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 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
13.11.2023 - 17.01.2024
Timing
08.01.2024 - 25.02.2024
Credits
3 op
Teaching languages
- Finnish
Degree programmes
- Bachelor of Engineering, Information Technology
Teachers
- Pasi Mikkonen
Student groups
-
TITE23Bachelor of Engineering, Information Technology
Objective
Upon completion of the course, students will be competent in:
- doing 3D vector calculations.
- using vectors to solve problems pertaining to space geometry.
- solving equations of a straight line.
- utilising linear optimization.
- doing matrix algebra
- using calculation tools.
- utilising the above-mentioned methods in their Professional Studies and in the working world.
Content
- Addition of vector
- Unit vectors
- Scalar product and cross product
- Scalar component and vector component
- Scalar triple product
- Vectors in statics
- Equation of a straight line
- Linear optimization
- Matrix algebra
Materials
to be announced
Teaching methods
lectures and exercises
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 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
13.11.2023 - 17.01.2024
Timing
08.01.2024 - 25.02.2024
Credits
3 op
Teaching languages
- Finnish
Degree programmes
- Bachelor of Engineering, Automation Engineering
Teachers
- Pasi Mikkonen
Student groups
-
AUTE23ABachelor of Engineering, Automation Engineering
Objective
Upon completion of the course, students will be competent in:
- doing 3D vector calculations.
- using vectors to solve problems pertaining to space geometry.
- solving equations of a straight line.
- utilising linear optimization.
- doing matrix algebra
- using calculation tools.
- utilising the above-mentioned methods in their Professional Studies and in the working world.
Content
- Addition of vector
- Unit vectors
- Scalar product and cross product
- Scalar component and vector component
- Scalar triple product
- Vectors in statics
- Equation of a straight line
- Linear optimization
- Matrix algebra
Materials
to be announced
Teaching methods
lectures and exercises
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 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
13.11.2023 - 17.01.2024
Timing
08.01.2024 - 25.02.2024
Credits
3 op
Teaching languages
- Finnish
Degree programmes
- Bachelor of Engineering, Automation Engineering
Teachers
- Pasi Mikkonen
Student groups
-
AUTE23BBachelor of Engineering, Automation Engineering
Objective
Upon completion of the course, students will be competent in:
- doing 3D vector calculations.
- using vectors to solve problems pertaining to space geometry.
- solving equations of a straight line.
- utilising linear optimization.
- doing matrix algebra
- using calculation tools.
- utilising the above-mentioned methods in their Professional Studies and in the working world.
Content
- Addition of vector
- Unit vectors
- Scalar product and cross product
- Scalar component and vector component
- Scalar triple product
- Vectors in statics
- Equation of a straight line
- Linear optimization
- Matrix algebra
Materials
to be announced
Teaching methods
lectures and exercises
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 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
06.03.2023 - 30.04.2023
Credits
3 op
Teaching languages
- Finnish
Degree programmes
- Bachelor of Engineering, Automation Engineering
Teachers
- Pasi Mikkonen
Student groups
-
AUTE22B
Objective
Upon completion of the course, students will be competent in:
- doing 3D vector calculations.
- using vectors to solve problems pertaining to space geometry.
- solving equations of a straight line.
- utilising linear optimization.
- doing matrix algebra
- using calculation tools.
- utilising the above-mentioned methods in their Professional Studies and in the working world.
Content
- Addition of vector
- Unit vectors
- Scalar product and cross product
- Scalar component and vector component
- Scalar triple product
- Vectors in statics
- Equation of a straight line
- Linear optimization
- Matrix algebra
Materials
to be announced
Teaching methods
lectures and exercises
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 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
06.03.2023 - 30.04.2023
Credits
3 op
Teaching languages
- Finnish
Degree programmes
- Bachelor of Engineering, Information Technology
Teachers
- Pasi Mikkonen
Student groups
-
TITE22
Objective
Upon completion of the course, students will be competent in:
- doing 3D vector calculations.
- using vectors to solve problems pertaining to space geometry.
- solving equations of a straight line.
- utilising linear optimization.
- doing matrix algebra
- using calculation tools.
- utilising the above-mentioned methods in their Professional Studies and in the working world.
Content
- Addition of vector
- Unit vectors
- Scalar product and cross product
- Scalar component and vector component
- Scalar triple product
- Vectors in statics
- Equation of a straight line
- Linear optimization
- Matrix algebra
Materials
to be announced
Teaching methods
lectures and exercises
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 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 - 15.01.2023
Timing
09.01.2023 - 26.02.2023
Credits
3 op
Teaching languages
- Finnish
Degree programmes
- Bachelor of Engineering, Automation Engineering
Teachers
- Jyrki Parkkinen
Student groups
-
AUTE22A
Objective
Upon completion of the course, students will be competent in:
- doing 3D vector calculations.
- using vectors to solve problems pertaining to space geometry.
- solving equations of a straight line.
- utilising linear optimization.
- doing matrix algebra
- using calculation tools.
- utilising the above-mentioned methods in their Professional Studies and in the working world.
Content
- Addition of vector
- Unit vectors
- Scalar product and cross product
- Scalar component and vector component
- Scalar triple product
- Vectors in statics
- Equation of a straight line
- Linear optimization
- Matrix algebra
Materials
to be announced
Teaching methods
lectures and exercises
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 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
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
- Pasi Mikkonen
Student groups
-
AUTE21B
Objective
Upon completion of the course, students will be competent in:
- doing 3D vector calculations.
- using vectors to solve problems pertaining to space geometry.
- solving equations of a straight line.
- utilising linear optimization.
- doing matrix algebra
- using calculation tools.
- utilising the above-mentioned methods in their Professional Studies and in the working world.
Content
- Addition of vector
- Unit vectors
- Scalar product and cross product
- Scalar component and vector component
- Scalar triple product
- Vectors in statics
- Equation of a straight line
- Linear optimization
- Matrix algebra
Materials
to be announced
Teaching methods
lectures and exercises
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 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
07.02.2022 - 20.03.2022
Timing
07.03.2022 - 08.05.2022
Credits
3 op
Teaching languages
- Finnish
Degree programmes
- Bachelor of Engineering, Information Technology
Teachers
- Pekka Sahimaa
Student groups
-
TITE21
Objective
Upon completion of the course, students will be competent in:
- doing 3D vector calculations.
- using vectors to solve problems pertaining to space geometry.
- solving equations of a straight line.
- utilising linear optimization.
- doing matrix algebra
- using calculation tools.
- utilising the above-mentioned methods in their Professional Studies and in the working world.
Content
- Addition of vector
- Unit vectors
- Scalar product and cross product
- Scalar component and vector component
- Scalar triple product
- Vectors in statics
- Equation of a straight line
- Linear optimization
- Matrix algebra
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
Qualifications
Algebra and geometry
Enrollment
03.12.2021 - 27.02.2022
Timing
10.01.2022 - 27.02.2022
Credits
3 op
Teaching languages
- Finnish
Degree programmes
- Bachelor of Engineering, Automation Engineering
Teachers
- Pasi Mikkonen
Student groups
-
AUTE21A
Objective
Upon completion of the course, students will be competent in:
- doing 3D vector calculations.
- using vectors to solve problems pertaining to space geometry.
- solving equations of a straight line.
- utilising linear optimization.
- doing matrix algebra
- using calculation tools.
- utilising the above-mentioned methods in their Professional Studies and in the working world.
Content
- Addition of vector
- Unit vectors
- Scalar product and cross product
- Scalar component and vector component
- Scalar triple product
- Vectors in statics
- Equation of a straight line
- Linear optimization
- Matrix algebra
Materials
to be announced
Teaching methods
lectures and exercises
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 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
03.12.2021 - 27.02.2022
Timing
10.01.2022 - 29.05.2022
Credits
3 op
Teaching languages
- Finnish
Degree programmes
- Bachelor of Engineering, Automation Engineering
Teachers
- Pekka Sahimaa
Student groups
-
MAUTE21
Objective
Upon completion of the course, students will be competent in:
- doing 3D vector calculations.
- using vectors to solve problems pertaining to space geometry.
- solving equations of a straight line.
- utilising linear optimization.
- doing matrix algebra
- using calculation tools.
- utilising the above-mentioned methods in their Professional Studies and in the working world.
Content
- Addition of vector
- Unit vectors
- Scalar product and cross product
- Scalar component and vector component
- Scalar triple product
- Vectors in statics
- Equation of a straight line
- Linear optimization
- Matrix algebra
Materials
to be announced
Teaching methods
lectures and exercises
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 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