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Course info
KMA / ME3
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Course description
Department/Unit / Abbreviation
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KMA
/
ME3
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Academic Year
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2023/2024
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Academic Year
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2023/2024
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Title
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Mathematics for Electrical Engineers 3
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Form of course completion
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Exam
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Form of course completion
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Exam
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Accredited / Credits
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Yes,
4
Cred.
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Type of completion
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Combined
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Type of completion
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Combined
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Time requirements
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Lecture
2
[Hours/Week]
Tutorial
1
[Hours/Week]
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Course credit prior to examination
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Yes
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Course credit prior to examination
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Yes
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Automatic acceptance of credit before examination
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No
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Included in study average
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YES
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Language of instruction
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Czech
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Occ/max
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|
|
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Automatic acceptance of credit before examination
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No
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Summer semester
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0 / -
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0 / -
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0 / -
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Included in study average
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YES
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Winter semester
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0 / -
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0 / -
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0 / -
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Repeated registration
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YES
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Repeated registration
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YES
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Timetable
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Yes
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Semester taught
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Winter + Summer
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Semester taught
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Winter + Summer
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Minimum (B + C) students
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1
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Optional course |
Yes
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Optional course
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Yes
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Language of instruction
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Czech
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Internship duration
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0
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No. of hours of on-premise lessons |
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Evaluation scale |
1|2|3|4 |
Periodicity |
každý rok
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Evaluation scale for credit before examination |
S|N |
Periodicita upřesnění |
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Fundamental theoretical course |
No
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Fundamental course |
No
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Fundamental theoretical course |
No
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Evaluation scale |
1|2|3|4 |
Evaluation scale for credit before examination |
S|N |
Substituted course
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None
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Preclusive courses
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N/A
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Prerequisite courses
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N/A
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Informally recommended courses
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N/A
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Courses depending on this Course
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N/A
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Histogram of students' grades over the years:
Graphic PNG
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XLS
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Course objectives:
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The aim of this course is to introduce students to basic ideas of the Fourier analysis, discrete Fourier transfomation, Laplace transform and Z-transfom and describe some applications.
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Requirements on student
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A student gets the credit if he obtains at least fifty percent out of total number of points from two tests (in the sixth and the twelfth week of the academic year).
Students who do not pass are allowed to write the repair test.
The final examination is in the written and oral form.
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Content
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Approximation of functions, discrete and continuous L2 approximations, orthogonal functions, discrete Fourier transform, Fourier series, Fourier transform, Laplace transform, Z-transform. Selected applications.
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Activities
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Fields of study
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Guarantors and lecturers
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Literature
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-
Basic:
Polák, Josef. Funkční posloupnosti a řady ; Fourierovy řady. 2. upr. vyd. Plzeň : Západočeská univerzita, 2004. ISBN 80-7043-282-9.
-
Basic:
Polák, Josef. Integrální a diskrétní transformace. 3.,přeprac. vyd. Plzeň : Západočeská univerzita, 2002. ISBN 80-7082-924-9.
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Basic:
Polák, Josef. Matematická analýza v komplexním oboru. 2., upr. vyd. Plzeň : Západočeská univerzita, 2002. ISBN 80-7082-923-0.
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Basic:
Polák, Josef. Matematická analýza v komplexním oboru II/. 1. vyd. Plzeň : Západočeská univerzita, 2000. ISBN 80-7082-700-9.
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Recommended:
Drábek, Pavel; Míka, Stanislav. Matematická analýza II.. 4. vyd. Plzeň : Západočeská univerzita, 2003. ISBN 80-7082-977-X.
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Recommended:
Míka, Stanislav. Matematická analýza III : tenzorová analýza. 1. vyd. Plzeň : Západočeská univerzita, 1993. ISBN 80-7082-115-9.
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Recommended:
Mašek, Josef. Sbírka úloh z matematiky : diferenční rovnice a transformace Z. 1. vyd. Plzeň : ZČU, 1998. ISBN 80-7082-457-3.
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Recommended:
Mašek, Josef. Sbírka úloh z matematiky : integrální transformace. 1. vyd. Plzeň : ZČU, 1993. ISBN 80-7082-117-5.
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Recommended:
Studijní materiály
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Recommended:
trial.kma.zcu.cz
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On-line library catalogues
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Time requirements
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All forms of study
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Activities
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Time requirements for activity [h]
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Contact hours
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39
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Preparation for an examination (30-60)
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40
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Preparation for comprehensive test (10-40)
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40
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Total
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119
|
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Prerequisites
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Knowledge - students are expected to possess the following knowledge before the course commences to finish it successfully: |
The students must have basic knowledge of mathematical analysis and algebra (KMA/ME1 and KMA/ME2). |
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Learning outcomes
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Knowledge - knowledge resulting from the course: |
Upon completion of the course a student have a possibility to be able:
- use the Fourier analysis, Fourier transform, discrete Fourier transform, Laplace transform and Z-transform,
- apply approaches described above to simple practical problems. |
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Assessment methods
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Knowledge - knowledge achieved by taking this course are verified by the following means: |
Oral exam |
Written exam |
Test |
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Teaching methods
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Knowledge - the following training methods are used to achieve the required knowledge: |
Lecture |
Practicum |
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