Course Unit Code | 230-0320/01 |
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Number of ECTS Credits Allocated | 1 ECTS credits |
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Type of Course Unit * | Choice-compulsory type B |
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Level of Course Unit * | First Cycle |
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Year of Study * | First Year |
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Semester when the Course Unit is delivered | Winter Semester |
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Mode of Delivery | Face-to-face |
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Language of Instruction | Czech |
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Prerequisites and Co-Requisites | There are no prerequisites or co-requisites for this course unit |
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Name of Lecturer(s) | Personal ID | Name |
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| VOL18 | RNDr. Jana Volná, Ph.D. |
Summary |
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In this course, students will revise and consolidate their knowledge of the secondary school mathematics: sets, algebraic expressions. functions, their properties and graphs, equations and inequalities, analytic geometry. |
Learning Outcomes of the Course Unit |
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The subject aim is the repetition of the secondary school mathematics, balancing the knowledge of mathematics among students from different types of secondary schools. |
Course Contents |
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1. Sets, set operations, sets of number, intervals. Algebraic expressions.
2. Functions: the function definition and the properties of functions. Graphs.
3. Functions: linear, quadratic.
4. Functions: power, rational.
5. Functions: exponential, logarithmic.
6. Trigonometric functions.
7. Equations: linear, quadratic.
8. Equations: with absolute value, irrational.
9. Exponential and logarithmic equations.
10. Trigonometric equations.
11. Inequalities. Domains of composite functions.
12. Analytic geometry in the plane I: point, vector, line (parametric form of equation of a line, general equation of a line, slope-intercept form of the equation of a line)
13.Analytic geometry in the plane II: Conic: circle, ellipse, hyperbola and parabola.
14. Reserve.
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Recommended or Required Reading |
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Required Reading: |
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[1] Lang, S.: Basic Mathematics, Springer-Verlag New York Inc. 1998, ISBN: 9780387967875. |
[1] Boháč, Z., Burda, P., Doležalová, J.: Matematika pro přípravný kurz a přijímací zkoušku na VŠB - TU. Skriptum VŠB - TU, Ostrava 2003. ISBN 80-7078-278-1.
[2] Polák, J.: Přehled středoškolské matematiky. SPN, Praha 1991. ISBN 80-7196-267-8
[3] http://www.studopory.vsb.cz/studijnimaterialy/Zaklady_matematiky/zm.pdf
[4] Lang, S.: Basic Mathematics, Springer-Verlag New York Inc. 1998, ISBN: 9780387967875.
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Recommended Reading: |
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[1] Harshbarger, R.J. - Teynolds, J.J.: Calculus with Applications. D.C. Heath and Company, Lexington 1990, ISBN 0-669-21145-1
[2] http://education-portal.com/academy/course/precalculus-course.html |
[1]Polák, J.: Středoškolská matematika v úlohách I. Prometheus, Praha 1996. ISBN 80-7196-021-7
[2] Janeček, F.: Sbírka úloh z matematiky pro střední školy. Výrazy, rovnice, nerovnice a jejich soustavy. Prometheus, Praha 2011. |
Planned learning activities and teaching methods |
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Tutorials |
Assesment methods and criteria |
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Task Title | Task Type | Maximum Number of Points (Act. for Subtasks) | Minimum Number of Points for Task Passing |
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Credit | Credit | | |