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Lecturer(s)
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Šulc Hynek, doc. Ing. Ph.D.
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Course content
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1. The Integral Calculus Elements, Applications 2. Axiomatic structure of mathematics, its application (e.g. in geometry) 3. Planimetry 4. Trigonometry, goniometry 5. Stereometry 6. Vectors and matrices, relation to systems of linear algebraic equations 7. Analytic geometry in the plane 8. Analytic geometry in space 9. Analytic geometry of quadratic figures 10. Combinatorics 11. Probability 12. Statistics, data processing 13. Financial mathematics, link to financial literacy
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Learning activities and teaching methods
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- Contact hours
- 52 hours per semester
- Preparation for an examination (30-60)
- 25 hours per semester
- Individual project (40)
- 25 hours per semester
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| prerequisite |
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| Knowledge |
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| to apply basic knowledge of linear algebra (matrix calculus, systems of linear algebraic equations) to apply basic knowledge of mathematical analysis (sequences, series, differential and integral calculus) to apply basic knowledge of geometry to apply basic knowledge of probability theory and mathematical statistics |
| Skills |
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| to solve systems of linear algebraic equations (using direct methods) to determine derivatives and integrals of elementary functions solve basic geometry problems solve basic problems in probability theory and mathematical statistics |
| Competences |
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| N/A |
| N/A |
| learning outcomes |
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| Knowledge |
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| to formulate high school mathematics problems to know different methods and approaches for solving them to choose appropriate techniques for interpreting solution methods to know the basics of science communication |
| Skills |
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| to describe and explain the role of problems within the discipline prepare assignments for mathematical problems, assess their solvability and complexity in terms of teaching to describe and explain methods of solving problems in secondary school mathematics |
| Competences |
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| N/A |
| N/A |
| N/A |
| teaching methods |
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| Knowledge |
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| Lecture |
| Seminar |
| Individual study |
| Skills |
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| Lecture |
| Seminar |
| Individual study |
| Competences |
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| Lecture |
| Seminar |
| Individual study |
| assessment methods |
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| Knowledge |
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| Combined exam |
| Seminar work |
| Skills |
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| Combined exam |
| Seminar work |
| Competences |
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| Combined exam |
| Seminar work |
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Recommended literature
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Polák, Josef. Didaktika matematiky : jak učit matematiku zajímavě a užitečně. III. část, Historie matematiky pro učitele. 1. vydání. 2016. ISBN 978-80-7489-327-8.
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Polák, Josef. Didaktika matematiky : Jak učit matematiku zajímavě a užitečně. 1. vyd. Plzeň : Fraus, 2014. ISBN 978-80-7238-449-5.
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Polák, Josef. Didaktika matematiky I. část. 2014. ISBN 978-80-7238-449-5.
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Polák, Josef. Didaktika matematiky II. část. ISBN 978-80-7489-326-1.
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Polák, Josef. Didaktika matematiky: Jak učit matematiku zajímavě a užitečně. II. část. Obecná didaktika matematiky.. Plzeň : Fraus, 2016. ISBN 978-80-7489-326-1.
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Polák, Josef. Přehled středoškolské matematiky. 10. vydání. 2015. ISBN 978-80-7196-458-2.
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Polák, Josef. Středoškolská matematika v úlohách II. 2., upr. vyd. Praha : Prometheus, 2011. ISBN 978-80-7196-419-3.
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Polák, Josef. Středoškolská matematika v úlohách I. Praha : Prometheus, 2006. ISBN 80-7169-337-2.
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