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Lecturer(s)
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Roháček Karel, RNDr. CSc.
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Course content
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Lectures: Week 1: Functions, definition domain, value domain, properties of functions Week 2: Linear and quadratic functions, functions with absolute value, linear polynomial functions Week 3: Linear and quadratic equations and inequalities Week 4. - 5: Power functions, calculation of powers and roots Week 6: Goniometric functions and equations Week 7: Inverse functions, Exponential and logarithmic functions and equations Week 8: Continuity of a function, limit of a function Week 9 - 10: Counting limits Training: Week 1: Functions, domain, value domain, properties of functions Linear and quadratic functions, functions with absolute value, linear polynomial functions Week 2: Linear and quadratic equations and inequalities Power functions, calculation of powers and roots Week 3: 1st credit test Trigonometric functions and equations Week 4: Inverse functions, exponential and logarithmic functions and equations Continuity of a function, limit of a function Week 5: Calculating limits 2nd credit test
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Learning activities and teaching methods
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unspecified
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Learning outcomes
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The course will cover the basics of the system of elementary functions, and the basics of derivative and integral calculus, including differential equations.
The aim is to understand the basic mathematical structures and the necessary methods and algorithms of mathematical analysis.
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Prerequisites
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unspecified
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Assessment methods and criteria
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unspecified
credit tests
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Recommended literature
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Beránek, L., Pilecká, N., Singer. J. Vybrané kapitoly z aplikované matematiky II. Jihočeská universita. České Budějovice, 2007.
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Beránek, L., Pilecká, N., Singer. J. Vybrané kapitoly z aplikované matematiky I. Jihočeská universita. České Budějovice, 2007.
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Krynický, M. Matematika SŠ.
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