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Lecturer(s)
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Course content
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Proposition logic and introduction to the set theory. Manipulation with algebraic expressions. Functions and their properties. Algebraic elementary functions. Algebraic equations and inequalities. Complex numbers. Exponential and logarithmic functions. Exponential and logarithmic equations and inequalities. Trigonometric functions. Trigonometric equations and inequalities. Trigonometry. Sequences and series. Arithmetic and geometric sequences and series. Analytic geometry in the plane. Equations of the line and of the plane. Analytic geometry in the plane. Metric problems.
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Learning activities and teaching methods
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Monologic (reading, lecture, briefing), Demonstration
- Class attendance
- 8 hours per semester
- Preparation for classes
- 16 hours per semester
- Preparation for credit
- 8 hours per semester
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Learning outcomes
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To survey and repeat basic undergraduate calculus.
This subject should help those students who did not pass through high level secondary school mathematics and/or did not pass a final secondary school exam from mathematics.
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Prerequisites
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We assume knowledge of basic mathematical operations with algebraic expressions, scalar functions and their graphs. We will focus mainly on repetition and practical calculation skills of secondary school mathematical subjects.
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Assessment methods and criteria
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Test
Active participation to excercises and active attempts to solve homeworks during the semester. To pass through the final writting test and reach at least 50% points.
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Recommended literature
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A. Vocelka:. Repetitorium středoškolské matematiky ve slovních úlohách. Scientia 2008.
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D. Hrubý:. Matematická cvičení pro střední školy, Prometheus 2008.
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E. Calda:. Sbírka řešených úloh. Středoškolská matematika pod mikroskopem. Prometheus 2006..
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E. Fuchs , J. Kubát a kol.:. Standardy a testové úlohy z matematiky pro čtyřletá gymnázia. Prometheus 2007..
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J. Herman, R, Kučera, J. Šimša:. Seminář ze středoškolské matematiky. Masarykova univerzita v Brně, Brno 2007..
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J. Charvát, J. Zhouf, L. Boček:. Matematika pro gymnázia. Rovnice a nerovnice. Prometheus 2008.
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J. Kubát, D. Hrubý, J. Pilgr:. Sbírka úloh z matematiky pro střední školy. Prometheus 1996.
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J. Polák:. Přehled středoškolské matematiky. Prometheus 2005..
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M. Kočandrle, L. Boček:. Matematika pro gymnázia. Analytická geometrie. Prometheus 2008.
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O. Odvárko:. Matematika pro gymnázia. Funkce. Prometheus 2008.
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