Dynamic SystemsLaajuus (3 cr)
Code: TSAM0530
Credits
3 op
Teaching language
- Finnish
Responsible person
- Ari Kuisma
- Tomi Nieminen
Objective
You master the mathematical modeling and simulation of dynamic systems. You can apply what you have learned, e.g. electrical and control systems and mechatronics.
EUR-ACE KNOWLEDGE AND UNDERSTANDING
You will understand the principles of mathematical modeling related to electrical and automation technology.
EUR-ACE ENGINEERING PRACTICE
You can apply the modeling methods you have learned to solve practical design problems.
Differential equations and their analytical and numerical solution, Modeling and simulation of dynamic systems, Integral transformations and their applications in electrical and control technology
Content
Differential equations and their analytical and numerical solution
Modeling and simulation of dynamic systems
Integral transformations and their applications in electrical and control technology
Qualifications
Adequate math skills in equations, functions, derivative and integral.
Assessment criteria, satisfactory (1)
Adequate 1: You are familiar with the concepts and principles, involved in mathematical modeling of dynamic systems, but you have difficulty putting what you have learned into practice.
Satisfactory 2: You master mathematical modeling of dynamic systems satisfactorily. However, there are shortcomings in its application.
Assessment criteria, good (3)
Good 3: You will master the basics of mathematical modeling of dynamic systems and be able to apply what you have learned to the basic applications.
Very good 4: You master the mathematical modeling of dynamic systems with commendability and are able to apply what you have learned to the example applications covered in the course.
Assessment criteria, excellent (5)
Excellent 5: You have excellent control of mathematical modeling of dynamic systems and are able to creatively apply what you have learned to new applications.
Enrollment
01.11.2024 - 09.01.2025
Timing
13.01.2025 - 18.05.2025
Number of ECTS credits allocated
3 op
Mode of delivery
Face-to-face
Unit
School of Technology
Campus
Lutakko Campus
Teaching languages
- Finnish
Seats
20 - 35
Degree programmes
- Bachelor's Degree Programme in Electrical and Automation Engineering
Teachers
- Tomi Nieminen
Groups
-
TSA23SAInsinööri (AMK), sähkö- ja automaatiotekniikka, päivätoteutus
Objectives
You master the mathematical modeling and simulation of dynamic systems. You can apply what you have learned, e.g. electrical and control systems and mechatronics.
EUR-ACE KNOWLEDGE AND UNDERSTANDING
You will understand the principles of mathematical modeling related to electrical and automation technology.
EUR-ACE ENGINEERING PRACTICE
You can apply the modeling methods you have learned to solve practical design problems.
Differential equations and their analytical and numerical solution, Modeling and simulation of dynamic systems, Integral transformations and their applications in electrical and control technology
Content
Differential equations and their analytical and numerical solution
Modeling and simulation of dynamic systems
Integral transformations and their applications in electrical and control technology
Evaluation scale
0-5
Evaluation criteria, satisfactory (1-2)
Adequate 1: You are familiar with the concepts and principles, involved in mathematical modeling of dynamic systems, but you have difficulty putting what you have learned into practice.
Satisfactory 2: You master mathematical modeling of dynamic systems satisfactorily. However, there are shortcomings in its application.
Evaluation criteria, good (3-4)
Good 3: You will master the basics of mathematical modeling of dynamic systems and be able to apply what you have learned to the basic applications.
Very good 4: You master the mathematical modeling of dynamic systems with commendability and are able to apply what you have learned to the example applications covered in the course.
Evaluation criteria, excellent (5)
Excellent 5: You have excellent control of mathematical modeling of dynamic systems and are able to creatively apply what you have learned to new applications.
Prerequisites
Adequate math skills in equations, functions, derivative and integral.
Enrollment
01.11.2024 - 09.01.2025
Timing
13.01.2025 - 18.05.2025
Number of ECTS credits allocated
3 op
Mode of delivery
Face-to-face
Unit
School of Technology
Campus
Lutakko Campus
Teaching languages
- English
Seats
20 - 35
Degree programmes
- Bachelor's Degree Programme in Electrical and Automation Engineering
Teachers
- Tomi Nieminen
Groups
-
TAR23S1Bachelor's Degree Programme in Automation and Robotics
Objectives
You master the mathematical modeling and simulation of dynamic systems. You can apply what you have learned, e.g. electrical and control systems and mechatronics.
EUR-ACE KNOWLEDGE AND UNDERSTANDING
You will understand the principles of mathematical modeling related to electrical and automation technology.
EUR-ACE ENGINEERING PRACTICE
You can apply the modeling methods you have learned to solve practical design problems.
Differential equations and their analytical and numerical solution, Modeling and simulation of dynamic systems, Integral transformations and their applications in electrical and control technology
Content
Differential equations and their analytical and numerical solution
Modeling and simulation of dynamic systems
Integral transformations and their applications in electrical and control technology
Evaluation scale
0-5
Evaluation criteria, satisfactory (1-2)
Adequate 1: You are familiar with the concepts and principles, involved in mathematical modeling of dynamic systems, but you have difficulty putting what you have learned into practice.
Satisfactory 2: You master mathematical modeling of dynamic systems satisfactorily. However, there are shortcomings in its application.
Evaluation criteria, good (3-4)
Good 3: You will master the basics of mathematical modeling of dynamic systems and be able to apply what you have learned to the basic applications.
Very good 4: You master the mathematical modeling of dynamic systems with commendability and are able to apply what you have learned to the example applications covered in the course.
Evaluation criteria, excellent (5)
Excellent 5: You have excellent control of mathematical modeling of dynamic systems and are able to creatively apply what you have learned to new applications.
Prerequisites
Adequate math skills in equations, functions, derivative and integral.
Enrollment
01.11.2024 - 09.01.2025
Timing
13.01.2025 - 18.05.2025
Number of ECTS credits allocated
3 op
Mode of delivery
Face-to-face
Unit
School of Technology
Campus
Lutakko Campus
Teaching languages
- Finnish
Seats
20 - 35
Degree programmes
- Bachelor's Degree Programme in Electrical and Automation Engineering
Teachers
- Tomi Nieminen
Groups
-
TSA23SSInsinööri (AMK), sähkö- ja automaatiotekniikka, päivätoteutus
Objectives
You master the mathematical modeling and simulation of dynamic systems. You can apply what you have learned, e.g. electrical and control systems and mechatronics.
EUR-ACE KNOWLEDGE AND UNDERSTANDING
You will understand the principles of mathematical modeling related to electrical and automation technology.
EUR-ACE ENGINEERING PRACTICE
You can apply the modeling methods you have learned to solve practical design problems.
Differential equations and their analytical and numerical solution, Modeling and simulation of dynamic systems, Integral transformations and their applications in electrical and control technology
Content
Differential equations and their analytical and numerical solution
Modeling and simulation of dynamic systems
Integral transformations and their applications in electrical and control technology
Evaluation scale
0-5
Evaluation criteria, satisfactory (1-2)
Adequate 1: You are familiar with the concepts and principles, involved in mathematical modeling of dynamic systems, but you have difficulty putting what you have learned into practice.
Satisfactory 2: You master mathematical modeling of dynamic systems satisfactorily. However, there are shortcomings in its application.
Evaluation criteria, good (3-4)
Good 3: You will master the basics of mathematical modeling of dynamic systems and be able to apply what you have learned to the basic applications.
Very good 4: You master the mathematical modeling of dynamic systems with commendability and are able to apply what you have learned to the example applications covered in the course.
Evaluation criteria, excellent (5)
Excellent 5: You have excellent control of mathematical modeling of dynamic systems and are able to creatively apply what you have learned to new applications.
Prerequisites
Adequate math skills in equations, functions, derivative and integral.
Enrollment
01.08.2024 - 22.08.2024
Timing
01.08.2024 - 31.12.2024
Number of ECTS credits allocated
3 op
Virtual portion
2 op
Mode of delivery
34 % Face-to-face, 66 % Online learning
Unit
School of Technology
Campus
Main Campus
Teaching languages
- Finnish
Degree programmes
- Bachelor's Degree Programme in Electrical and Automation Engineering
Teachers
- Tomi Nieminen
Groups
-
TSA23KMSInsinööri (AMK), sähkö- ja automaatiotekniikka,monimuototeutus
-
TSA23KMAInsinööri (AMK), sähkö- ja automaatiotekniikka,monimuototeutus
Objectives
You master the mathematical modeling and simulation of dynamic systems. You can apply what you have learned, e.g. electrical and control systems and mechatronics.
EUR-ACE KNOWLEDGE AND UNDERSTANDING
You will understand the principles of mathematical modeling related to electrical and automation technology.
EUR-ACE ENGINEERING PRACTICE
You can apply the modeling methods you have learned to solve practical design problems.
Differential equations and their analytical and numerical solution, Modeling and simulation of dynamic systems, Integral transformations and their applications in electrical and control technology
Content
Differential equations and their analytical and numerical solution
Modeling and simulation of dynamic systems
Integral transformations and their applications in electrical and control technology
Evaluation scale
0-5
Evaluation criteria, satisfactory (1-2)
Adequate 1: You are familiar with the concepts and principles, involved in mathematical modeling of dynamic systems, but you have difficulty putting what you have learned into practice.
Satisfactory 2: You master mathematical modeling of dynamic systems satisfactorily. However, there are shortcomings in its application.
Evaluation criteria, good (3-4)
Good 3: You will master the basics of mathematical modeling of dynamic systems and be able to apply what you have learned to the basic applications.
Very good 4: You master the mathematical modeling of dynamic systems with commendability and are able to apply what you have learned to the example applications covered in the course.
Evaluation criteria, excellent (5)
Excellent 5: You have excellent control of mathematical modeling of dynamic systems and are able to creatively apply what you have learned to new applications.
Prerequisites
Adequate math skills in equations, functions, derivative and integral.
Enrollment
20.11.2023 - 04.01.2024
Timing
08.01.2024 - 19.05.2024
Number of ECTS credits allocated
3 op
Mode of delivery
Face-to-face
Unit
School of Technology
Campus
Lutakko Campus
Teaching languages
- Finnish
Seats
0 - 60
Degree programmes
- Bachelor's Degree Programme in Electrical and Automation Engineering
Teachers
- Tomi Nieminen
Groups
-
TSA22SSSähkö- ja automaatiotekniikka (AMK)
-
TSA22SASähkö- ja automaatiotekniikka (AMK)
Objectives
You master the mathematical modeling and simulation of dynamic systems. You can apply what you have learned, e.g. electrical and control systems and mechatronics.
EUR-ACE KNOWLEDGE AND UNDERSTANDING
You will understand the principles of mathematical modeling related to electrical and automation technology.
EUR-ACE ENGINEERING PRACTICE
You can apply the modeling methods you have learned to solve practical design problems.
Differential equations and their analytical and numerical solution, Modeling and simulation of dynamic systems, Integral transformations and their applications in electrical and control technology
Content
Differential equations and their analytical and numerical solution
Modeling and simulation of dynamic systems
Integral transformations and their applications in electrical and control technology
Evaluation scale
0-5
Evaluation criteria, satisfactory (1-2)
Adequate 1: You are familiar with the concepts and principles, involved in mathematical modeling of dynamic systems, but you have difficulty putting what you have learned into practice.
Satisfactory 2: You master mathematical modeling of dynamic systems satisfactorily. However, there are shortcomings in its application.
Evaluation criteria, good (3-4)
Good 3: You will master the basics of mathematical modeling of dynamic systems and be able to apply what you have learned to the basic applications.
Very good 4: You master the mathematical modeling of dynamic systems with commendability and are able to apply what you have learned to the example applications covered in the course.
Evaluation criteria, excellent (5)
Excellent 5: You have excellent control of mathematical modeling of dynamic systems and are able to creatively apply what you have learned to new applications.
Prerequisites
Adequate math skills in equations, functions, derivative and integral.
Enrollment
20.11.2023 - 04.01.2024
Timing
01.01.2024 - 19.05.2024
Number of ECTS credits allocated
3 op
Mode of delivery
Face-to-face
Unit
School of Technology
Campus
Main Campus
Teaching languages
- English
Degree programmes
- Bachelor's Degree Programme in Electrical and Automation Engineering
Teachers
- Tomi Nieminen
Groups
-
TAR22S1Bachelor's Degree Programme in Automation and Robotics
Objectives
You master the mathematical modeling and simulation of dynamic systems. You can apply what you have learned, e.g. electrical and control systems and mechatronics.
EUR-ACE KNOWLEDGE AND UNDERSTANDING
You will understand the principles of mathematical modeling related to electrical and automation technology.
EUR-ACE ENGINEERING PRACTICE
You can apply the modeling methods you have learned to solve practical design problems.
Differential equations and their analytical and numerical solution, Modeling and simulation of dynamic systems, Integral transformations and their applications in electrical and control technology
Content
Differential equations and their analytical and numerical solution
Modeling and simulation of dynamic systems
Integral transformations and their applications in electrical and control technology
Evaluation scale
0-5
Evaluation criteria, satisfactory (1-2)
Adequate 1: You are familiar with the concepts and principles, involved in mathematical modeling of dynamic systems, but you have difficulty putting what you have learned into practice.
Satisfactory 2: You master mathematical modeling of dynamic systems satisfactorily. However, there are shortcomings in its application.
Evaluation criteria, good (3-4)
Good 3: You will master the basics of mathematical modeling of dynamic systems and be able to apply what you have learned to the basic applications.
Very good 4: You master the mathematical modeling of dynamic systems with commendability and are able to apply what you have learned to the example applications covered in the course.
Evaluation criteria, excellent (5)
Excellent 5: You have excellent control of mathematical modeling of dynamic systems and are able to creatively apply what you have learned to new applications.
Prerequisites
Adequate math skills in equations, functions, derivative and integral.
Enrollment
01.08.2023 - 24.08.2023
Timing
28.08.2023 - 19.12.2023
Number of ECTS credits allocated
3 op
Virtual portion
1.5 op
Mode of delivery
50 % Face-to-face, 50 % Online learning
Unit
School of Technology
Campus
Main Campus
Teaching languages
- Finnish
Seats
0 - 35
Degree programmes
- Bachelor's Degree Programme in Electrical and Automation Engineering
Teachers
- Tomi Nieminen
Groups
-
TSA22KMASähkö- ja automaatiotekniikka (AMK)
-
TSA22KMSSähkö- ja automaatiotekniikka (AMK)
Objectives
You master the mathematical modeling and simulation of dynamic systems. You can apply what you have learned, e.g. electrical and control systems and mechatronics.
EUR-ACE KNOWLEDGE AND UNDERSTANDING
You will understand the principles of mathematical modeling related to electrical and automation technology.
EUR-ACE ENGINEERING PRACTICE
You can apply the modeling methods you have learned to solve practical design problems.
Differential equations and their analytical and numerical solution, Modeling and simulation of dynamic systems, Integral transformations and their applications in electrical and control technology
Content
Differential equations and their analytical and numerical solution
Modeling and simulation of dynamic systems
Integral transformations and their applications in electrical and control technology
Learning materials and recommended literature
Glyn, James: Modern engineering mathematics
Teaching methods
Virtual study
Student workload
Virtual lectures and exercises 50 h
Graded exercises 30 h
Total 80 h
Evaluation scale
0-5
Evaluation criteria, satisfactory (1-2)
Adequate 1: You are familiar with the concepts and principles, involved in mathematical modeling of dynamic systems, but you have difficulty putting what you have learned into practice.
Satisfactory 2: You master mathematical modeling of dynamic systems satisfactorily. However, there are shortcomings in its application.
Evaluation criteria, good (3-4)
Good 3: You will master the basics of mathematical modeling of dynamic systems and be able to apply what you have learned to the basic applications.
Very good 4: You master the mathematical modeling of dynamic systems with commendability and are able to apply what you have learned to the example applications covered in the course.
Evaluation criteria, excellent (5)
Excellent 5: You have excellent control of mathematical modeling of dynamic systems and are able to creatively apply what you have learned to new applications.
Prerequisites
Adequate math skills in equations, functions, derivative and integral.
Enrollment
01.11.2022 - 05.01.2023
Timing
01.01.2023 - 21.05.2023
Number of ECTS credits allocated
3 op
Mode of delivery
Face-to-face
Unit
School of Technology
Campus
Main Campus
Teaching languages
- Finnish
Degree programmes
- Bachelor's Degree Programme in Electrical and Automation Engineering
Teachers
- Tomi Nieminen
Groups
-
TSA21SASähkö- ja automaatiotekniikka (AMK)
-
TSA21SBSähkö- ja automaatiotekniikka (AMK)
Objectives
You master the mathematical modeling and simulation of dynamic systems. You can apply what you have learned, e.g. electrical and control systems and mechatronics.
EUR-ACE KNOWLEDGE AND UNDERSTANDING
You will understand the principles of mathematical modeling related to electrical and automation technology.
EUR-ACE ENGINEERING PRACTICE
You can apply the modeling methods you have learned to solve practical design problems.
Differential equations and their analytical and numerical solution, Modeling and simulation of dynamic systems, Integral transformations and their applications in electrical and control technology
Content
Differential equations and their analytical and numerical solution
Modeling and simulation of dynamic systems
Integral transformations and their applications in electrical and control technology
Evaluation scale
0-5
Evaluation criteria, satisfactory (1-2)
Adequate 1: You are familiar with the concepts and principles, involved in mathematical modeling of dynamic systems, but you have difficulty putting what you have learned into practice.
Satisfactory 2: You master mathematical modeling of dynamic systems satisfactorily. However, there are shortcomings in its application.
Evaluation criteria, good (3-4)
Good 3: You will master the basics of mathematical modeling of dynamic systems and be able to apply what you have learned to the basic applications.
Very good 4: You master the mathematical modeling of dynamic systems with commendability and are able to apply what you have learned to the example applications covered in the course.
Evaluation criteria, excellent (5)
Excellent 5: You have excellent control of mathematical modeling of dynamic systems and are able to creatively apply what you have learned to new applications.
Prerequisites
Adequate math skills in equations, functions, derivative and integral.
Enrollment
01.08.2022 - 25.08.2022
Timing
29.08.2022 - 31.12.2022
Number of ECTS credits allocated
3 op
Virtual portion
2 op
Mode of delivery
34 % Face-to-face, 66 % Online learning
Unit
School of Technology
Campus
Main Campus
Teaching languages
- Finnish
Degree programmes
- Bachelor's Degree Programme in Electrical and Automation Engineering
Teachers
- Tomi Nieminen
Groups
-
TSA21KMBSähkö- ja automaatiotekniikka (AMK)
-
TSA21KMASähkö- ja automaatiotekniikka (AMK)
Objectives
You master the mathematical modeling and simulation of dynamic systems. You can apply what you have learned, e.g. electrical and control systems and mechatronics.
EUR-ACE KNOWLEDGE AND UNDERSTANDING
You will understand the principles of mathematical modeling related to electrical and automation technology.
EUR-ACE ENGINEERING PRACTICE
You can apply the modeling methods you have learned to solve practical design problems.
Differential equations and their analytical and numerical solution, Modeling and simulation of dynamic systems, Integral transformations and their applications in electrical and control technology
Content
Differential equations and their analytical and numerical solution
Modeling and simulation of dynamic systems
Integral transformations and their applications in electrical and control technology
Learning materials and recommended literature
Glyn, James: Modern engineering mathematics
Teaching methods
Contact study
Virtual study
Student workload
Virtual study and independent work 80 h
Evaluation scale
0-5
Evaluation criteria, satisfactory (1-2)
Adequate 1: You are familiar with the concepts and principles, involved in mathematical modeling of dynamic systems, but you have difficulty putting what you have learned into practice.
Satisfactory 2: You master mathematical modeling of dynamic systems satisfactorily. However, there are shortcomings in its application.
Evaluation criteria, good (3-4)
Good 3: You will master the basics of mathematical modeling of dynamic systems and be able to apply what you have learned to the basic applications.
Very good 4: You master the mathematical modeling of dynamic systems with commendability and are able to apply what you have learned to the example applications covered in the course.
Evaluation criteria, excellent (5)
Excellent 5: You have excellent control of mathematical modeling of dynamic systems and are able to creatively apply what you have learned to new applications.
Prerequisites
Adequate math skills in equations, functions, derivative and integral.
Enrollment
01.11.2021 - 09.01.2022
Timing
01.01.2022 - 15.05.2022
Number of ECTS credits allocated
3 op
Mode of delivery
Face-to-face
Unit
School of Technology
Campus
Main Campus
Teaching languages
- Finnish
Degree programmes
- Bachelor's Degree Programme in Electrical and Automation Engineering
Teachers
- Tomi Nieminen
Groups
-
TSA20SABachelor's Degree Programme in Electrical and Automation Engineering
-
TSA20SBBachelor's Degree Programme in Electrical and Automation Engineering
-
TSA20S1Bachelor's Degree Programme in Electrical and Automation Engineering
Objectives
You master the mathematical modeling and simulation of dynamic systems. You can apply what you have learned, e.g. electrical and control systems and mechatronics.
EUR-ACE KNOWLEDGE AND UNDERSTANDING
You will understand the principles of mathematical modeling related to electrical and automation technology.
EUR-ACE ENGINEERING PRACTICE
You can apply the modeling methods you have learned to solve practical design problems.
Differential equations and their analytical and numerical solution, Modeling and simulation of dynamic systems, Integral transformations and their applications in electrical and control technology
Content
Differential equations and their analytical and numerical solution
Modeling and simulation of dynamic systems
Integral transformations and their applications in electrical and control technology
Learning materials and recommended literature
Glyn, James: Modern engineering mathematics
Teaching methods
Contact study
Virtual study
Student workload
Lectures and exercises 30 h
Independent study 50 h
Total 80 h
Evaluation scale
0-5
Evaluation criteria, satisfactory (1-2)
Adequate 1: You are familiar with the concepts and principles, involved in mathematical modeling of dynamic systems, but you have difficulty putting what you have learned into practice.
Satisfactory 2: You master mathematical modeling of dynamic systems satisfactorily. However, there are shortcomings in its application.
Evaluation criteria, good (3-4)
Good 3: You will master the basics of mathematical modeling of dynamic systems and be able to apply what you have learned to the basic applications.
Very good 4: You master the mathematical modeling of dynamic systems with commendability and are able to apply what you have learned to the example applications covered in the course.
Evaluation criteria, excellent (5)
Excellent 5: You have excellent control of mathematical modeling of dynamic systems and are able to creatively apply what you have learned to new applications.
Prerequisites
Adequate math skills in equations, functions, derivative and integral.