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Lecturer(s)
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Beránek Petr, RNDr.
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Vávrová Miroslava, RNDr.
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Zouvalová Katarína, Ing. Ph.D.
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Krausová Michaela, RNDr.
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Pinte Jan, RNDr. Ph.D.
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Course content
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The program of particular seminars would consist of chosen parts of high school mathematics. We would emphasize those parts which are necessary for passing initial mathematical courses at the university (e.g., logic, algebraic expressions, equations and inequalities, functions, analytic geometry, combinatorics). We also would like to solve some interesting untraditional problems which can help students with the transition from algorithmic repeating of known processes to individual considerations and proposing own solution methods. Seminar form of the course allows to adapt the seminars to personal needs of present students.
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Learning activities and teaching methods
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- Preparation for comprehensive test (10-40)
- 26 hours per semester
- Contact hours
- 26 hours per semester
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| prerequisite |
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| Knowledge |
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| to understand mathematical texts and language |
| structural considerations and expressing |
| to choose appropriate (particular) method to solve a problem |
| Skills |
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| to simplify mathematical expresions |
| to solve fundamental types of equations and inequalities |
| to draw graphs of elementary functions |
| Competences |
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| N/A |
| N/A |
| N/A |
| learning outcomes |
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| Knowledge |
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| the student suggests a solving method which consists of several particular steps |
| the student knows the importance of solving equations and inequalities and understands their detailed structure |
| the student knows the importance of functions in mathematics, he analyzes their properties |
| Skills |
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| the student do more complicated mathematical operations effectively |
| the student solves more complicated equations and inequalitites; he uses specialized methods |
| the student draws graphs of elementary functions and their simple transformations |
| Competences |
|---|
| N/A |
| N/A |
| N/A |
| teaching methods |
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| Knowledge |
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| Seminar classes |
| Task-based study method |
| Skills |
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| Practicum |
| Seminar classes |
| Task-based study method |
| Individual study |
| Competences |
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| Seminar classes |
| Task-based study method |
| assessment methods |
|---|
| Knowledge |
|---|
| Test |
| Skills |
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| Test |
| Competences |
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| Test |
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Recommended literature
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Ivan Bušek. Řešené maturitní úlohy z matematiky. 2010. ISBN 80-7196-140-X.
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Josef Polák. Přehled středoškolské matematiky. 2015. ISBN 978-80-7196-458-2.
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Josef Polák. Středoškolská matematika v úlohách II. 2018. ISBN 978-80-7196-419-3.
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Josef Polák. Středoškolská matematika v úlohách I. 2010. ISBN 80-7196-337-2.
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