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Lecturer(s)
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Chmelík Slavomil, PhDr. Ph.D.
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Course content
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Direct methods for solving determinative problems (the experimental method, method for solving equations and inequalities). Higher order algebraic equations and inequalities. Systems of equations and inequalities. Indirect methods for solving determinative problems (the method of dividing the problem to partial problems, substitute and graphical method for solving equations and inequalities). Parametrical systems of functions and utilization of their graphs. Equations, inequalities and their systems with parameters. Problems in school mathematics, typology of problems.
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Learning activities and teaching methods
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Lecture supplemented with a discussion, Collaborative instruction, Discussion, One-to-One tutorial, Group discussion, Seminar classes, Lecture, Lecture with visual aids, Seminar
- Contact hours
- 39 hours per semester
- Preparation for formative assessments (2-20)
- 39 hours per semester
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| prerequisite |
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| Knowledge |
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| ovládat matematický jazyk a postupy na úrovni bakalářského studijního oboru Matematická studia |
| Skills |
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| ovládat matematický jazyk a postupy na úrovni bakalářského studijního oboru Matematická studia |
| Competences |
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| N/A |
| learning outcomes |
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| Knowledge |
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| klasifikovat metody řešení matematických úloh |
| popsat princip základních metod řešení úloh |
| popsat postup řešení jednodušších algebraických rovnic vyšších řádů a jejich soustav |
| vysvětlit funkci parametru v rovnicích a nerovnicích |
| Skills |
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| vybrat vhodnou metodu k řešení matematické úlohy |
| řešit matematickou úlohu zvolenou metodou |
| stanovit řešení rovnice či nerovnice v závislosti na parametru |
| Competences |
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| N/A |
| teaching methods |
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| Knowledge |
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| Lecture with visual aids |
| Lecture supplemented with a discussion |
| Seminar |
| Collaborative instruction |
| Group discussion |
| One-to-One tutorial |
| Discussion |
| Seminar classes |
| Lecture |
| Task-based study method |
| Skills |
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| Lecture |
| Seminar |
| Skills demonstration |
| Group discussion |
| Task-based study method |
| Seminar classes |
| Discussion |
| One-to-One tutorial |
| Collaborative instruction |
| Competences |
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| Self-study of literature |
| assessment methods |
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| Knowledge |
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| Test |
| Skills demonstration during practicum |
| Self-evaluation |
| Individual presentation at a seminar |
| Skills |
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| Test |
| Self-evaluation |
| Continuous assessment |
| Skills demonstration during practicum |
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Recommended literature
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Bušek, Ivan. Řešené maturitní úlohy z matematiky. 1. vyd. Praha : SPN, 1985.
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Hecht, T., Sklenáriková, Z. Metódy riešenia matematických úloh. SPN Bratislava, 1992.
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Herman, J., Kučera, R., Šimša, J. Metody řešení matematických úloh I.. Brno : Masarykova univerzita, 1996. ISBN 80-210-1202-1.
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Odvárko, O. a kol. Metody řešení matematických úloh.. Praha : SPN, 1990. ISBN 80-04-20434-1.
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Polák, J. Středoškolská matematika v úlohách I., II. Prometheus Praha (1996, 1999), 1999.
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