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Course info
KMA / M4E
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Course description
Department/Unit / Abbreviation
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KMA
/
M4E
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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 4
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Form of course completion
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Pre-Exam Credit
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Form of course completion
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Pre-Exam Credit
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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
2
[Hours/Week]
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Course credit prior to examination
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No
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Course credit prior to examination
|
No
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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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NO
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Language of instruction
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Czech, English
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Occ/max
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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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NO
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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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NO
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Repeated registration
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NO
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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, English
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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 |
S|N |
Periodicity |
každý rok
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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 |
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
,
XLS
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Course objectives:
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The aim of this course is to introduce students to basic ideas and methods of numerical mathematics.
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Requirements on student
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Students
1) have to write one assignment; they have to obtain at least 30 of total 60 points;
2) they defense the student project.
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Content
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1. Problems of numerical mathematics, ill-conditioned and well-conditioned problems, stability of algorithms, computational software.
2. Direct methods for solving linear algebraic equations.
3. Iterative methods for solving linear algebraic equations.
4. Methods for solving eigenvalue problems.
5. Approximation of functions.
6. L2 approximation, discrete Fourier transform.
7. Numerical methods for ordinary differential equations - initial value problems.
8. Numerical methods for differential equations - boundary value problems.
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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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-
Recommended:
Míka, Stanislav; Brandner, Marek. Numerické metody I. 1. vyd. Plzeň : Západočeská univerzita, 2000. ISBN 80-7082-619-3.
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Recommended:
Přikryl, Petr; Brandner, Marek. Numerické metody II. 1. vyd. Plzeň : Západočeská univerzita, 2000. ISBN 80-7082-699-1.
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Recommended:
Míka, Stanislav; Přikryl, Petr. Numerické metody řešení obyčejných diferenciálních rovnic : okrajové úlohy. 1. vyd. Plzeň : ZČU, 1994. ISBN 80-7082-159-0.
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Recommended:
Míka, Stanislav; Přikryl, Petr. Numerické metody řešení parciálních diferenciálních rovnic. 1. vyd. Plzeň : ZČU, 1995. ISBN 80-7082-204-X.
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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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Preparation for comprehensive test (10-40)
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20
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Contact hours
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52
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Undergraduate study programme term essay (20-40)
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40
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Total
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112
|
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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 linear algebra (KMA/M1E and KMA/M2E). |
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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:
- formulate problems of numerical mathematics and analyze their solvability;
- use these methods to solve real world problems (especially in electrotechnical engineering).
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Assessment methods
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Knowledge - knowledge achieved by taking this course are verified by the following means: |
Test |
Project |
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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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