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Integral TransformsLaajuus (3 cr)

Code: 5N00EG76

Credits

3 op

Objectives

In this Study Course, you will learn the most important mathematical methods in terms of theoretical electrical engineering

After the course you
• you can use the Laplace transform and apply it to solving differential equations
• you understand the transfer function in describing the properties of a linear system
• you can represent periodic functions as a Fourier series
• you can interpret the connection between the spectrum of a function and the Fourier coefficients
• you recognize the use of Fourier transform / FFT with tool programs

Content

Laplace transform formulas, use of Laplace transforms to solve differential equations, transfer function in describing the properties of linear systems. Representation of periodic functions as Fourier series, spectrum of function, use of computer programs in Fourier transforms/FFT.

Prerequisites

Differential Calculus and Integral Calculus or similar skills

Assessment criteria, satisfactory (1-2)

Student is able to determine simple Laplace transforms with the aid of given formulas and calculator. He/she is able to solve simple applications that are similar to the model problems solved during the course. Student knows how to compute numerically coefficients for the Fourier series of periodical functions. Justification of solutions and using mathematical concepts may still be somewhat vague. Student takes care of his/her own studies and can cope with exercises with some help from the group.

Assessment criteria, good (3-4)

In addition, student is able to solve simple linear differential equations using Laplace transform and understands how Fourier series decomposes a periodic function to infinite series of waveforms with different frequencies. Student is also able to explain the methods of her/his solutions. Mathematical notations and concepts are mainly used correctly. Student is able to solve the given exercises independently and also helps other students in the group.

Assessment criteria, excellent (5)

In addition, student has an overall understanding of using course topics to solve various applications and the ability to present and justify the chosen methods of solution. Mathematical notations and concepts are used precisely. Student is motivated and also committed to help the group to manage the course.

Enrolment period

01.06.2024 - 08.09.2024

Timing

02.09.2024 - 15.11.2024

Credits

3 op

Mode of delivery

Contact teaching

Campus

TAMK Main Campus

Teaching languages
  • Finnish
Degree programmes
  • Degree Programme in Building Services Engineering, Electrical Systems
Teachers
  • Jukka Suominen
Person in charge

Jukka Suominen

Groups
  • 23I254

Objectives (course unit)

In this Study Course, you will learn the most important mathematical methods in terms of theoretical electrical engineering

After the course you
• you can use the Laplace transform and apply it to solving differential equations
• you understand the transfer function in describing the properties of a linear system
• you can represent periodic functions as a Fourier series
• you can interpret the connection between the spectrum of a function and the Fourier coefficients
• you recognize the use of Fourier transform / FFT with tool programs

Content (course unit)

Laplace transform formulas, use of Laplace transforms to solve differential equations, transfer function in describing the properties of linear systems. Representation of periodic functions as Fourier series, spectrum of function, use of computer programs in Fourier transforms/FFT.

Prerequisites (course unit)

Differential Calculus and Integral Calculus or similar skills

Assessment criteria, satisfactory (1-2) (course unit)

Student is able to determine simple Laplace transforms with the aid of given formulas and calculator. He/she is able to solve simple applications that are similar to the model problems solved during the course. Student knows how to compute numerically coefficients for the Fourier series of periodical functions. Justification of solutions and using mathematical concepts may still be somewhat vague. Student takes care of his/her own studies and can cope with exercises with some help from the group.

Assessment criteria, good (3-4) (course unit)

In addition, student is able to solve simple linear differential equations using Laplace transform and understands how Fourier series decomposes a periodic function to infinite series of waveforms with different frequencies. Student is also able to explain the methods of her/his solutions. Mathematical notations and concepts are mainly used correctly. Student is able to solve the given exercises independently and also helps other students in the group.

Assessment criteria, excellent (5) (course unit)

In addition, student has an overall understanding of using course topics to solve various applications and the ability to present and justify the chosen methods of solution. Mathematical notations and concepts are used precisely. Student is motivated and also committed to help the group to manage the course.

Assessment scale

0-5

Enrolment period

01.06.2024 - 01.09.2024

Timing

02.09.2024 - 15.11.2024

Credits

3 op

Mode of delivery

Contact teaching

Unit

TAMK Mathematics and Physics

Campus

TAMK Main Campus

Teaching languages
  • Finnish
Seats

0 - 40

Degree programmes
  • Degree Programme in Electrical Engineering
Teachers
  • Jukka Suominen
Person in charge

Jukka Suominen

Groups
  • 23I231B

Objectives (course unit)

In this Study Course, you will learn the most important mathematical methods in terms of theoretical electrical engineering

After the course you
• you can use the Laplace transform and apply it to solving differential equations
• you understand the transfer function in describing the properties of a linear system
• you can represent periodic functions as a Fourier series
• you can interpret the connection between the spectrum of a function and the Fourier coefficients
• you recognize the use of Fourier transform / FFT with tool programs

Content (course unit)

Laplace transform formulas, use of Laplace transforms to solve differential equations, transfer function in describing the properties of linear systems. Representation of periodic functions as Fourier series, spectrum of function, use of computer programs in Fourier transforms/FFT.

Prerequisites (course unit)

Differential Calculus and Integral Calculus or similar skills

Assessment criteria, satisfactory (1-2) (course unit)

Student is able to determine simple Laplace transforms with the aid of given formulas and calculator. He/she is able to solve simple applications that are similar to the model problems solved during the course. Student knows how to compute numerically coefficients for the Fourier series of periodical functions. Justification of solutions and using mathematical concepts may still be somewhat vague. Student takes care of his/her own studies and can cope with exercises with some help from the group.

Assessment criteria, good (3-4) (course unit)

In addition, student is able to solve simple linear differential equations using Laplace transform and understands how Fourier series decomposes a periodic function to infinite series of waveforms with different frequencies. Student is also able to explain the methods of her/his solutions. Mathematical notations and concepts are mainly used correctly. Student is able to solve the given exercises independently and also helps other students in the group.

Assessment criteria, excellent (5) (course unit)

In addition, student has an overall understanding of using course topics to solve various applications and the ability to present and justify the chosen methods of solution. Mathematical notations and concepts are used precisely. Student is motivated and also committed to help the group to manage the course.

Assessment scale

0-5

Enrolment period

02.12.2023 - 11.01.2024

Timing

08.01.2024 - 24.02.2024

Credits

3 op

Mode of delivery

Contact teaching

Unit

TAMK Mathematics and Physics

Campus

TAMK Main Campus

Teaching languages
  • Finnish
Seats

0 - 40

Degree programmes
  • Degree Programme in Electrical Engineering
Teachers
  • Ulla Miekkala
Person in charge

Ulla Miekkala

Groups
  • 23I231A

Objectives (course unit)

In this Study Course, you will learn the most important mathematical methods in terms of theoretical electrical engineering

After the course you
• you can use the Laplace transform and apply it to solving differential equations
• you understand the transfer function in describing the properties of a linear system
• you can represent periodic functions as a Fourier series
• you can interpret the connection between the spectrum of a function and the Fourier coefficients
• you recognize the use of Fourier transform / FFT with tool programs

Content (course unit)

Laplace transform formulas, use of Laplace transforms to solve differential equations, transfer function in describing the properties of linear systems. Representation of periodic functions as Fourier series, spectrum of function, use of computer programs in Fourier transforms/FFT.

Prerequisites (course unit)

Differential Calculus and Integral Calculus or similar skills

Assessment criteria, satisfactory (1-2) (course unit)

Student is able to determine simple Laplace transforms with the aid of given formulas and calculator. He/she is able to solve simple applications that are similar to the model problems solved during the course. Student knows how to compute numerically coefficients for the Fourier series of periodical functions. Justification of solutions and using mathematical concepts may still be somewhat vague. Student takes care of his/her own studies and can cope with exercises with some help from the group.

Assessment criteria, good (3-4) (course unit)

In addition, student is able to solve simple linear differential equations using Laplace transform and understands how Fourier series decomposes a periodic function to infinite series of waveforms with different frequencies. Student is also able to explain the methods of her/his solutions. Mathematical notations and concepts are mainly used correctly. Student is able to solve the given exercises independently and also helps other students in the group.

Assessment criteria, excellent (5) (course unit)

In addition, student has an overall understanding of using course topics to solve various applications and the ability to present and justify the chosen methods of solution. Mathematical notations and concepts are used precisely. Student is motivated and also committed to help the group to manage the course.

Assessment scale

0-5

Enrolment period

02.07.2023 - 01.09.2023

Timing

04.09.2023 - 07.11.2023

Credits

3 op

Mode of delivery

Contact teaching

Unit

Electrical and Automation Engineering

Campus

TAMK Main Campus

Teaching languages
  • Finnish
Seats

0 - 40

Degree programmes
  • Degree Programme in Electrical Engineering
Teachers
  • Jukka Suominen
Person in charge

Jukka Suominen

Groups
  • 22I231B

Objectives (course unit)

In this Study Course, you will learn the most important mathematical methods in terms of theoretical electrical engineering

After the course you
• you can use the Laplace transform and apply it to solving differential equations
• you understand the transfer function in describing the properties of a linear system
• you can represent periodic functions as a Fourier series
• you can interpret the connection between the spectrum of a function and the Fourier coefficients
• you recognize the use of Fourier transform / FFT with tool programs

Content (course unit)

Laplace transform formulas, use of Laplace transforms to solve differential equations, transfer function in describing the properties of linear systems. Representation of periodic functions as Fourier series, spectrum of function, use of computer programs in Fourier transforms/FFT.

Prerequisites (course unit)

Differential Calculus and Integral Calculus or similar skills

Assessment criteria, satisfactory (1-2) (course unit)

Student is able to determine simple Laplace transforms with the aid of given formulas and calculator. He/she is able to solve simple applications that are similar to the model problems solved during the course. Student knows how to compute numerically coefficients for the Fourier series of periodical functions. Justification of solutions and using mathematical concepts may still be somewhat vague. Student takes care of his/her own studies and can cope with exercises with some help from the group.

Assessment criteria, good (3-4) (course unit)

In addition, student is able to solve simple linear differential equations using Laplace transform and understands how Fourier series decomposes a periodic function to infinite series of waveforms with different frequencies. Student is also able to explain the methods of her/his solutions. Mathematical notations and concepts are mainly used correctly. Student is able to solve the given exercises independently and also helps other students in the group.

Assessment criteria, excellent (5) (course unit)

In addition, student has an overall understanding of using course topics to solve various applications and the ability to present and justify the chosen methods of solution. Mathematical notations and concepts are used precisely. Student is motivated and also committed to help the group to manage the course.

Assessment scale

0-5

Enrolment period

02.07.2023 - 01.09.2023

Timing

04.09.2023 - 07.11.2023

Credits

3 op

Mode of delivery

Contact teaching

Unit

TAMK Mathematics and Physics

Campus

TAMK Main Campus

Teaching languages
  • Finnish
Degree programmes
  • Degree Programme in Building Services Engineering, Electrical Systems
Teachers
  • Jukka Suominen
Person in charge

Jukka Suominen

Groups
  • 22I254

Objectives (course unit)

In this Study Course, you will learn the most important mathematical methods in terms of theoretical electrical engineering

After the course you
• you can use the Laplace transform and apply it to solving differential equations
• you understand the transfer function in describing the properties of a linear system
• you can represent periodic functions as a Fourier series
• you can interpret the connection between the spectrum of a function and the Fourier coefficients
• you recognize the use of Fourier transform / FFT with tool programs

Content (course unit)

Laplace transform formulas, use of Laplace transforms to solve differential equations, transfer function in describing the properties of linear systems. Representation of periodic functions as Fourier series, spectrum of function, use of computer programs in Fourier transforms/FFT.

Prerequisites (course unit)

Differential Calculus and Integral Calculus or similar skills

Assessment criteria, satisfactory (1-2) (course unit)

Student is able to determine simple Laplace transforms with the aid of given formulas and calculator. He/she is able to solve simple applications that are similar to the model problems solved during the course. Student knows how to compute numerically coefficients for the Fourier series of periodical functions. Justification of solutions and using mathematical concepts may still be somewhat vague. Student takes care of his/her own studies and can cope with exercises with some help from the group.

Assessment criteria, good (3-4) (course unit)

In addition, student is able to solve simple linear differential equations using Laplace transform and understands how Fourier series decomposes a periodic function to infinite series of waveforms with different frequencies. Student is also able to explain the methods of her/his solutions. Mathematical notations and concepts are mainly used correctly. Student is able to solve the given exercises independently and also helps other students in the group.

Assessment criteria, excellent (5) (course unit)

In addition, student has an overall understanding of using course topics to solve various applications and the ability to present and justify the chosen methods of solution. Mathematical notations and concepts are used precisely. Student is motivated and also committed to help the group to manage the course.

Assessment scale

0-5

Enrolment period

02.07.2023 - 03.09.2023

Timing

19.08.2023 - 16.12.2023

Credits

3 op

Mode of delivery

Contact teaching

Unit

Electrical and Automation Engineering

Campus

TAMK Main Campus

Teaching languages
  • Finnish
Seats

0 - 40

Degree programmes
  • Degree Programme in Electrical Engineering
Teachers
  • Jukka Suominen
Person in charge

Jukka Suominen

Groups
  • 22AI231

Objectives (course unit)

In this Study Course, you will learn the most important mathematical methods in terms of theoretical electrical engineering

After the course you
• you can use the Laplace transform and apply it to solving differential equations
• you understand the transfer function in describing the properties of a linear system
• you can represent periodic functions as a Fourier series
• you can interpret the connection between the spectrum of a function and the Fourier coefficients
• you recognize the use of Fourier transform / FFT with tool programs

Content (course unit)

Laplace transform formulas, use of Laplace transforms to solve differential equations, transfer function in describing the properties of linear systems. Representation of periodic functions as Fourier series, spectrum of function, use of computer programs in Fourier transforms/FFT.

Prerequisites (course unit)

Differential Calculus and Integral Calculus or similar skills

Assessment criteria, satisfactory (1-2) (course unit)

Student is able to determine simple Laplace transforms with the aid of given formulas and calculator. He/she is able to solve simple applications that are similar to the model problems solved during the course. Student knows how to compute numerically coefficients for the Fourier series of periodical functions. Justification of solutions and using mathematical concepts may still be somewhat vague. Student takes care of his/her own studies and can cope with exercises with some help from the group.

Assessment criteria, good (3-4) (course unit)

In addition, student is able to solve simple linear differential equations using Laplace transform and understands how Fourier series decomposes a periodic function to infinite series of waveforms with different frequencies. Student is also able to explain the methods of her/his solutions. Mathematical notations and concepts are mainly used correctly. Student is able to solve the given exercises independently and also helps other students in the group.

Assessment criteria, excellent (5) (course unit)

In addition, student has an overall understanding of using course topics to solve various applications and the ability to present and justify the chosen methods of solution. Mathematical notations and concepts are used precisely. Student is motivated and also committed to help the group to manage the course.

Assessment scale

0-5

Enrolment period

02.12.2022 - 10.01.2023

Timing

09.01.2023 - 05.03.2023

Credits

3 op

Mode of delivery

Contact teaching

Unit

Electrical and Automation Engineering

Campus

TAMK Main Campus

Teaching languages
  • Finnish
Seats

0 - 40

Degree programmes
  • Degree Programme in Electrical Engineering
Teachers
  • Ulla Miekkala
Person in charge

Ulla Miekkala

Groups
  • 22I231A

Objectives (course unit)

In this Study Course, you will learn the most important mathematical methods in terms of theoretical electrical engineering

After the course you
• you can use the Laplace transform and apply it to solving differential equations
• you understand the transfer function in describing the properties of a linear system
• you can represent periodic functions as a Fourier series
• you can interpret the connection between the spectrum of a function and the Fourier coefficients
• you recognize the use of Fourier transform / FFT with tool programs

Content (course unit)

Laplace transform formulas, use of Laplace transforms to solve differential equations, transfer function in describing the properties of linear systems. Representation of periodic functions as Fourier series, spectrum of function, use of computer programs in Fourier transforms/FFT.

Prerequisites (course unit)

Differential Calculus and Integral Calculus or similar skills

Assessment criteria, satisfactory (1-2) (course unit)

Student is able to determine simple Laplace transforms with the aid of given formulas and calculator. He/she is able to solve simple applications that are similar to the model problems solved during the course. Student knows how to compute numerically coefficients for the Fourier series of periodical functions. Justification of solutions and using mathematical concepts may still be somewhat vague. Student takes care of his/her own studies and can cope with exercises with some help from the group.

Assessment criteria, good (3-4) (course unit)

In addition, student is able to solve simple linear differential equations using Laplace transform and understands how Fourier series decomposes a periodic function to infinite series of waveforms with different frequencies. Student is also able to explain the methods of her/his solutions. Mathematical notations and concepts are mainly used correctly. Student is able to solve the given exercises independently and also helps other students in the group.

Assessment criteria, excellent (5) (course unit)

In addition, student has an overall understanding of using course topics to solve various applications and the ability to present and justify the chosen methods of solution. Mathematical notations and concepts are used precisely. Student is motivated and also committed to help the group to manage the course.

Assessment scale

0-5

Enrolment period

01.08.2022 - 31.08.2022

Timing

01.09.2022 - 31.12.2022

Credits

3 op

Mode of delivery

Contact teaching

Unit

Building Services Engineering

Campus

TAMK Main Campus

Teaching languages
  • Finnish
Seats

1 - 45

Degree programmes
  • Degree Programme in Building Services Engineering, Electrical Systems
Teachers
  • Jukka Suominen
Person in charge

Jukka Suominen

Groups
  • 21I254

Objectives (course unit)

In this Study Course, you will learn the most important mathematical methods in terms of theoretical electrical engineering

After the course you
• you can use the Laplace transform and apply it to solving differential equations
• you understand the transfer function in describing the properties of a linear system
• you can represent periodic functions as a Fourier series
• you can interpret the connection between the spectrum of a function and the Fourier coefficients
• you recognize the use of Fourier transform / FFT with tool programs

Content (course unit)

Laplace transform formulas, use of Laplace transforms to solve differential equations, transfer function in describing the properties of linear systems. Representation of periodic functions as Fourier series, spectrum of function, use of computer programs in Fourier transforms/FFT.

Prerequisites (course unit)

Differential Calculus and Integral Calculus or similar skills

Assessment criteria, satisfactory (1-2) (course unit)

Student is able to determine simple Laplace transforms with the aid of given formulas and calculator. He/she is able to solve simple applications that are similar to the model problems solved during the course. Student knows how to compute numerically coefficients for the Fourier series of periodical functions. Justification of solutions and using mathematical concepts may still be somewhat vague. Student takes care of his/her own studies and can cope with exercises with some help from the group.

Assessment criteria, good (3-4) (course unit)

In addition, student is able to solve simple linear differential equations using Laplace transform and understands how Fourier series decomposes a periodic function to infinite series of waveforms with different frequencies. Student is also able to explain the methods of her/his solutions. Mathematical notations and concepts are mainly used correctly. Student is able to solve the given exercises independently and also helps other students in the group.

Assessment criteria, excellent (5) (course unit)

In addition, student has an overall understanding of using course topics to solve various applications and the ability to present and justify the chosen methods of solution. Mathematical notations and concepts are used precisely. Student is motivated and also committed to help the group to manage the course.

Assessment scale

0-5

Enrolment period

02.07.2022 - 31.08.2022

Timing

29.08.2022 - 16.10.2022

Credits

3 op

Mode of delivery

Contact teaching

Campus

TAMK Main Campus

Teaching languages
  • Finnish
Seats

0 - 45

Degree programmes
  • Degree Programme in Electrical Engineering
Teachers
  • Ulla Miekkala
Person in charge

Ulla Miekkala

Groups
  • 21I231B

Objectives (course unit)

In this Study Course, you will learn the most important mathematical methods in terms of theoretical electrical engineering

After the course you
• you can use the Laplace transform and apply it to solving differential equations
• you understand the transfer function in describing the properties of a linear system
• you can represent periodic functions as a Fourier series
• you can interpret the connection between the spectrum of a function and the Fourier coefficients
• you recognize the use of Fourier transform / FFT with tool programs

Content (course unit)

Laplace transform formulas, use of Laplace transforms to solve differential equations, transfer function in describing the properties of linear systems. Representation of periodic functions as Fourier series, spectrum of function, use of computer programs in Fourier transforms/FFT.

Prerequisites (course unit)

Differential Calculus and Integral Calculus or similar skills

Assessment criteria, satisfactory (1-2) (course unit)

Student is able to determine simple Laplace transforms with the aid of given formulas and calculator. He/she is able to solve simple applications that are similar to the model problems solved during the course. Student knows how to compute numerically coefficients for the Fourier series of periodical functions. Justification of solutions and using mathematical concepts may still be somewhat vague. Student takes care of his/her own studies and can cope with exercises with some help from the group.

Assessment criteria, good (3-4) (course unit)

In addition, student is able to solve simple linear differential equations using Laplace transform and understands how Fourier series decomposes a periodic function to infinite series of waveforms with different frequencies. Student is also able to explain the methods of her/his solutions. Mathematical notations and concepts are mainly used correctly. Student is able to solve the given exercises independently and also helps other students in the group.

Assessment criteria, excellent (5) (course unit)

In addition, student has an overall understanding of using course topics to solve various applications and the ability to present and justify the chosen methods of solution. Mathematical notations and concepts are used precisely. Student is motivated and also committed to help the group to manage the course.

Assessment scale

0-5

Enrolment period

02.12.2021 - 11.01.2022

Timing

10.01.2022 - 26.02.2022

Credits

3 op

Mode of delivery

Contact teaching

Campus

TAMK Main Campus

Teaching languages
  • Finnish
Seats

0 - 40

Degree programmes
  • Degree Programme in Electrical Engineering
Teachers
  • Ulla Miekkala
Person in charge

Ulla Miekkala

Groups
  • 21I231A

Objectives (course unit)

In this Study Course, you will learn the most important mathematical methods in terms of theoretical electrical engineering

After the course you
• you can use the Laplace transform and apply it to solving differential equations
• you understand the transfer function in describing the properties of a linear system
• you can represent periodic functions as a Fourier series
• you can interpret the connection between the spectrum of a function and the Fourier coefficients
• you recognize the use of Fourier transform / FFT with tool programs

Content (course unit)

Laplace transform formulas, use of Laplace transforms to solve differential equations, transfer function in describing the properties of linear systems. Representation of periodic functions as Fourier series, spectrum of function, use of computer programs in Fourier transforms/FFT.

Prerequisites (course unit)

Differential Calculus and Integral Calculus or similar skills

Assessment criteria, satisfactory (1-2) (course unit)

Student is able to determine simple Laplace transforms with the aid of given formulas and calculator. He/she is able to solve simple applications that are similar to the model problems solved during the course. Student knows how to compute numerically coefficients for the Fourier series of periodical functions. Justification of solutions and using mathematical concepts may still be somewhat vague. Student takes care of his/her own studies and can cope with exercises with some help from the group.

Assessment criteria, good (3-4) (course unit)

In addition, student is able to solve simple linear differential equations using Laplace transform and understands how Fourier series decomposes a periodic function to infinite series of waveforms with different frequencies. Student is also able to explain the methods of her/his solutions. Mathematical notations and concepts are mainly used correctly. Student is able to solve the given exercises independently and also helps other students in the group.

Assessment criteria, excellent (5) (course unit)

In addition, student has an overall understanding of using course topics to solve various applications and the ability to present and justify the chosen methods of solution. Mathematical notations and concepts are used precisely. Student is motivated and also committed to help the group to manage the course.

Assessment scale

0-5