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