Mathematical methods in Electrical Engineering and Automation Technology (15 ECTS)
Code: TE00CR42-3013
General information
- Enrollment
- 05.05.2025 - 31.05.2025
- Registration for the implementation has ended.
- Timing
- 20.10.2025 - 14.12.2025
- The implementation has not yet started.
- Number of ECTS credits allocated
- 15 ECTS
- Mode of delivery
- On-campus
- Unit
- (2019-2024) School of Smart and Clean Solutions
- Campus
- Leiritie 1
- Teaching languages
- English
- Degree programmes
- Electrical and Automation Engineering
- Teachers
- Erna Piila
- Tatu Suomi
- Teacher in charge
- Raisa Kallio
- Groups
-
SV22SSähkövoimatekniikan pääaine, syksyllä 2022 aloittaneet
-
SA22SAutomaatiotekniikan pääaine, syksyllä 2022 aloittaneet päiväopiskelijat
- Course
- TE00CR42
Implementation has 24 reservations. Total duration of reservations is 78 h 0 min.
Time | Topic | Location |
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Mon 20.10.2025 time 17:00 - 20:15 (3 h 15 min) |
Mathematical methods in Electrical Engineering and Automation Technology TE00CR42-3013 |
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Tue 21.10.2025 time 17:00 - 20:15 (3 h 15 min) |
Mathematical methods in Electrical Engineering and Automation Technology TE00CR42-3013 |
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Thu 23.10.2025 time 17:00 - 20:15 (3 h 15 min) |
Mathematical methods in Electrical Engineering and Automation Technology TE00CR42-3013 |
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Mon 27.10.2025 time 17:00 - 20:15 (3 h 15 min) |
Mathematical methods in Electrical Engineering and Automation Technology TE00CR42-3013 |
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Tue 28.10.2025 time 17:00 - 20:15 (3 h 15 min) |
Mathematical methods in Electrical Engineering and Automation Technology TE00CR42-3013 |
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Thu 30.10.2025 time 17:00 - 20:15 (3 h 15 min) |
Mathematical methods in Electrical Engineering and Automation Technology TE00CR42-3013 |
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Mon 03.11.2025 time 17:00 - 20:15 (3 h 15 min) |
Mathematical methods in Electrical Engineering and Automation Technology TE00CR42-3013 |
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Tue 04.11.2025 time 17:00 - 20:15 (3 h 15 min) |
Mathematical methods in Electrical Engineering and Automation Technology TE00CR42-3013 |
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Thu 06.11.2025 time 17:00 - 20:15 (3 h 15 min) |
Mathematical methods in Electrical Engineering and Automation Technology TE00CR42-3013 |
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Mon 10.11.2025 time 17:00 - 20:15 (3 h 15 min) |
Mathematical methods in Electrical Engineering and Automation Technology TE00CR42-3013 |
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Tue 11.11.2025 time 17:00 - 20:15 (3 h 15 min) |
Mathematical methods in Electrical Engineering and Automation Technology TE00CR42-3013 |
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Thu 13.11.2025 time 17:00 - 20:15 (3 h 15 min) |
Mathematical methods in Electrical Engineering and Automation Technology TE00CR42-3013 |
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Mon 17.11.2025 time 17:00 - 20:15 (3 h 15 min) |
Mathematical methods in Electrical Engineering and Automation Technology TE00CR42-3013 |
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Tue 18.11.2025 time 17:00 - 20:15 (3 h 15 min) |
Mathematical methods in Electrical Engineering and Automation Technology TE00CR42-3013 |
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Thu 20.11.2025 time 17:00 - 20:15 (3 h 15 min) |
Mathematical methods in Electrical Engineering and Automation Technology TE00CR42-3013 |
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Mon 24.11.2025 time 17:00 - 20:15 (3 h 15 min) |
Mathematical methods in Electrical Engineering and Automation Technology TE00CR42-3013 |
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Tue 25.11.2025 time 17:00 - 20:15 (3 h 15 min) |
Mathematical methods in Electrical Engineering and Automation Technology TE00CR42-3013 |
Online
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Thu 27.11.2025 time 17:00 - 20:15 (3 h 15 min) |
Mathematical methods in Electrical Engineering and Automation Technology TE00CR42-3013 |
Online
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Mon 01.12.2025 time 17:00 - 20:15 (3 h 15 min) |
Mathematical methods in Electrical Engineering and Automation Technology TE00CR42-3013 |
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Tue 02.12.2025 time 17:00 - 20:15 (3 h 15 min) |
Mathematical methods in Electrical Engineering and Automation Technology TE00CR42-3013 |
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Thu 04.12.2025 time 17:00 - 20:15 (3 h 15 min) |
Mathematical methods in Electrical Engineering and Automation Technology TE00CR42-3013 |
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Mon 08.12.2025 time 17:00 - 20:15 (3 h 15 min) |
Mathematical methods in Electrical Engineering and Automation Technology TE00CR42-3013 |
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Tue 09.12.2025 time 17:00 - 20:15 (3 h 15 min) |
Mathematical methods in Electrical Engineering and Automation Technology TE00CR42-3013 |
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Thu 11.12.2025 time 17:00 - 20:15 (3 h 15 min) |
Mathematical methods in Electrical Engineering and Automation Technology TE00CR42-3013 |
Online
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Objective
After completion of the course the student has more profound knowledge of advanced mathematical aspects of electrical engineering and automation technology. He/she is able to use differential and integral calculus in solving problems in these fields. He/she is able to use Matlab software in analyzing related complex mathematical problems.
Content
1. Differential and integral calculus of functions of several variables
• partial derivatives
• double and triple integrals
• line integrals
• Stokes, Green and divergence theorems
• applications in electrical engineering
• Matlab exercises
2. Control engineering and applied mathematics
• control and system theory and applications
• ordinary differential equations in control engineering
• Laplace transform
• Matrices and matrix algebra
• dynamic systems
• transfer functions and frequency domain models
• PID-controller
• design and analysis of controllers
• simulation of a dynamic system with feedback
• Matlab exercises
3. Integral transforms and signal theory
• signals and systems in time domain
• convolution integral
• Fourier series of periodical signals
• Fourier transform
• modulation
• frequency domain analysis of LTI systems
• filters
• sampling and DFT
• Matlab and CAD exercises
Materials
Lecture recordings
Lecture materials
Erwin Kreyszig : Advanced Engineering Mathematics
Teaching methods
Lectures
Exercises & homework
Exams
Exam schedules
Two exams on last week of the course
Student workload
Three equal parts
- Differential and integral calculus in multivariable functions (~135 h)
- Control engineering and applied mathematics (~135 h)
- Integral transformation and signal theory (~135 h)
--------------------------
~90 h lectures
~300 h studying, exercises and homework
~8 h exams
Content scheduling
3 x 4 h/week, evening lectures
Evaluation scale
0-5
Assessment criteria, satisfactory (1)
The student has achieved the course objectives fairly. The student will be able to identify, define and use the course subject area’s concepts and models. The student understands the criteria and principles of the expertise development. The student has completed the required learning exercises in minimum requirement level. His/her competences have developed in a way that he/she may complete the remaining studies and finally work in a suitable job position related to this field.
Assessment criteria, good (3)
The student has achieved the course objectives well, even though the knowledge and skills need improvement on some areas. The student has completed the required learning exercises in good or satisfactory level. The student is able to define the course concepts and models and is able to justify the analysis. The student is able to apply their knowledge in study and work situations. The student understands the importance of expertise in the field and is able to analyze his/her own expertise.
Assessment criteria, excellent (5)
The student has achieved the objectives of the course with excellent marks. The student master commendably the course subject area’s concepts and models. The student has completed the required learning exercises in good or excellent level. The student is able to make justified and fluent analysis and to present concrete development measures. The student is well prepared to apply their knowledge study and work situations. Students are able to analyze the expertise and the evolvement of their own expertise.
Assessment methods and criteria
Exercises
Homework
Exams