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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
- 26 hours per semester
- Preparation for comprehensive test (10-40)
- 26 hours per semester
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| prerequisite |
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| Knowledge |
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| master mathematical language and procedures at the level of the bachelor's study field Mathematical Studies |
| Skills |
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| master mathematical language and procedures at the level of the bachelor's study field Mathematical Studies |
| Competences |
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| N/A |
| N/A |
| N/A |
| learning outcomes |
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| Knowledge |
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| classify methods for solving mathematical problems |
| describe the principle of basic methods for solving problems |
| describe the procedure for solving simpler algebraic equations of higher orders and their systems |
| explain the function of the parameter in equations and inequalities |
| Skills |
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| choose a suitable method for solving a mathematical problem |
| solve a mathematical problem with the chosen method |
| determine the solution of an equation or inequality depending on the parameter |
| Competences |
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| N/A |
| N/A |
| teaching methods |
|---|
| Knowledge |
|---|
| 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 |
|---|
| Lecture |
| Seminar |
| Skills demonstration |
| Group discussion |
| Task-based study method |
| Seminar classes |
| Discussion |
| One-to-One tutorial |
| Collaborative instruction |
| Competences |
|---|
| Lecture with visual aids |
| Practicum |
| Self-study of literature |
| Individual study |
| 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 |
| Competences |
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| Test |
| Skills demonstration during practicum |
| Self-evaluation |
| Continuous assessment |
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Recommended literature
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HERMAN, J., KUČERA, R., ŠIMŠA, J. Metody řešení matematických úloh I. Brno: Masarykova univerzita, 2011. ISBN 978-80-210-5636-7.
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HERMAN, J., KUČERA, R., ŠIMŠA, J. Metody řešení matematických úloh II. Brno: Masarykova univerzita, 2004. ISBN 80-210-3569-2.
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Odvárko, O. a kol. Metody řešení matematických úloh.. Praha : SPN, 1990. ISBN 80-04-20434-1.
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ODVÁRKO, O. Matematika pro střední školy. Praha: Prometheus, 2023. ISBN 978-80-7196-548-0.
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Polák, J. Středoškolská matematika v úlohách I.. Praha : Prometheus, 2006. ISBN 80-7196-337-2.
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