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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
  • TSA23SA
    Insinööri (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
  • TAR23S1
    Bachelor'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
  • TSA23SS
    Insinööri (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
  • TSA23KMS
    Insinööri (AMK), sähkö- ja automaatiotekniikka,monimuototeutus
  • TSA23KMA
    Insinööri (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
  • TSA22SS
    Sähkö- ja automaatiotekniikka (AMK)
  • TSA22SA
    Sähkö- 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
  • TAR22S1
    Bachelor'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
  • TSA22KMA
    Sähkö- ja automaatiotekniikka (AMK)
  • TSA22KMS
    Sähkö- 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
  • TSA21SA
    Sähkö- ja automaatiotekniikka (AMK)
  • TSA21SB
    Sähkö- 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
  • TSA21KMB
    Sähkö- ja automaatiotekniikka (AMK)
  • TSA21KMA
    Sähkö- 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
  • TSA20SA
    Bachelor's Degree Programme in Electrical and Automation Engineering
  • TSA20SB
    Bachelor's Degree Programme in Electrical and Automation Engineering
  • TSA20S1
    Bachelor'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.