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Lecturer(s)
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Holubová Renata, RNDr. CSc.
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Vrba Vlastimil, Mgr. Ph.D.
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Course content
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1. Mathematical logic and sets, algebraic expressions. 2. Functions and their properties, description of elementary functions, trigonometric formulas and their use. 3. Equations with one variable, equations with parameters, linear and quadratic inequalities. 4. Coordinate systems, points and vectors, scalar and vector product, description of lines and planes. 5. Additional topics from differential and integral calculus, vector spaces, or complex numbers.
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Learning activities and teaching methods
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Monologic Lecture(Interpretation, Training), Dialogic Lecture (Discussion, Dialog, Brainstorming), Work with Text (with Book, Textbook)
- Homework for Teaching
- 26 hours per semester
- Preparation for the Course Credit
- 4 hours per semester
- Attendace
- 26 hours per semester
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Learning outcomes
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The course focuses on the secondary mathematics (algebraic expressions, elementary functions, basic equations, vector calculus, ...) and partially on the undergraduate mathematics and physics. The obtained skills will help with solving and understanding topics within the upcoming physics courses.
Knowledge within the scope of the course topics.
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Prerequisites
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unspecified
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Assessment methods and criteria
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Didactic Test, Written exam
Seminar attenadance, homework elaboration, passing the written tests, problem solving.
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Recommended literature
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Benda, P. a kol. (1988). Sbírka maturitních příkladů z matematiky. SPN, Praha.
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Bušek, I., Calda, E. (2001). Matematika pro gymnázia. Základní poznatky. Praha : Prometheus.
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Charvát J., Zhouf J., Boček L. (1999). Matematika pro gymnázia - Rovnice a nerovnice. Prometheus.
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kolektiv autorů. (2015). Tvoje státní maturita 2016: matematika. Praha.
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Kružík, M. (1969). Sbírka úloh z fyziky pro žáky středních škol. SPN Praha.
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Petáková, J. (1998). Matematika příprava k maturitě a k přijímacím zkouškám na vysoké školy. Prometheus.
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Polák, J. (1998). Přehled středoškolské matematiky. Prometheus, Praha.
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