| Course Unit Code | 470-2104/01 |
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| Number of ECTS Credits Allocated | 2 ECTS credits |
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| Type of Course Unit * | Choice-compulsory |
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| Level of Course Unit * | Second Cycle |
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| Year of Study * | First Year |
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| Semester when the Course Unit is delivered | Summer Semester |
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| Mode of Delivery | Face-to-face |
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| Language of Instruction | Czech |
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| Prerequisites and Co-Requisites | Course succeeds to compulsory courses of previous semester |
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| Name of Lecturer(s) | Personal ID | Name |
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| BOU10 | prof. RNDr. Jiří Bouchala, Ph.D. |
| Summary |
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| The course covers principles of theory of linear ordinary differential equations and their systems. |
| Learning Outcomes of the Course Unit |
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| In this course the students will learn basic tools for the solution and analysis of linear ordinary differential equations and their systems. |
| Course Contents |
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Differential Equations and Models.
Geometrical Interpretation.
Linear Equations.
Linear Systems.
Stability.
Laplace Transform.
Difference Equations.
Z-Transform.
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| Recommended or Required Reading |
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| Required Reading: |
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W. E. Boyce, R. C. DiPrima: Elementary differential equations. Wiley, New York 1992
M. Braun: Differential Equations and Their Applications. Springer, Berlin 1978. |
J. Kalas, M. Ráb: Obyčejné diferenciální rovnice. Skripta Masarykovy univerzity, Brno 1995.
J. Nagy: Elementární metody řešení obyčejných diferenciálních rovnic. SNTL, Praha 1983. |
| Recommended Reading: |
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W. E. Boyce, R. C. DiPrima: Elementary differential equations. Wiley, New York 1992
M. Braun: Differential Equations and Their Applications. Springer, Berlin 1978. |
J. Kalas, M. Ráb: Obyčejné diferenciální rovnice. Skripta Masarykovy univerzity, Brno 1995.
J. Nagy: Elementární metody řešení obyčejných diferenciálních rovnic. SNTL, Praha 1983.
J. Nagy: Soustavy obyčejných diferenciálních rovnic. SNTL, Praha 1983.
J. Nagy: Stabilita řešení obyčejných diferenciálních rovnic. SNTL, Praha 1983.
P. Galajda, Š. Schrötter: Funkcie komplexnej premennej a operátorový počet,
Alfa, Bratislava, 1991. |
| Planned learning activities and teaching methods |
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| Lectures, Tutorials |
| Assesment methods and criteria |
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| Task Title | Task Type | Maximum Number of Points
(Act. for Subtasks) | Minimum Number of Points for Task Passing |
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| Graded exercises evaluation | Graded credit | 100 (100) | 51 |
| test 1 | Written test | 40 | 0 |
| test 2 | Written test | 40 | 0 |
| test 3 | Written test | 20 | 0 |