| Course Unit Code | 230-0300/01 |
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| Number of ECTS Credits Allocated | 1 ECTS credits |
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| Type of Course Unit * | Optional |
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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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Real and complex numbers, operations with algebraic expressions, equations and inequalities, functions, exponential and logarithmic equations, trigonometric equations, analytic geometry, arithmetic and geometric sequences.
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| Learning Outcomes of the Course Unit |
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| Repetition of the secondary school mathematics, balancing knowledge of mathematics among students of different types of secondary schools. |
| Course Contents |
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1. Number sets, intervals, intervals operations (union, intersection), quantifiers, the absolute value of a real number
2-4. Elementary functions: the function definition, domain, range of values, properties of functions (even, odd, monotonous, delimited, plain, peroidická).
Functions: linear, quadratic, power, angled linear, exponential, logarithmic, trigonometric functions (definition, domain values, graphs, properties)
5-6. Equations: linear, quadratic (in the field of complex numbers), simple irrational equations, exponential and logarithmic equations (rules for calculating with logarithms and
powers), trigonometric equations (basic relations between the trigonometric functions, the value of the arc stage
degree)
7. Unequations: linear inequalities in the AND and mutual shape
8. Domains complex functions
9-10. Algebraic Expressions - editing,
basic relationships
11th Analytic geometry in the plane I .: point, vector, line (parametric equation of a line, general equation of a line,
směrnicovém line in a segmental shape), line graph,
circle, types of equations, determining the center and radius adding a square.
12. Analytic geometry in the plane II. ellipse, hyperbole (lin graph. angled FCE), Dish (graph quadratic FCE).
Determining the basic parameters by adding a square.
13. Reserve
14. Credit, repair tests
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| Recommended or Required Reading |
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| Required Reading: |
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[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] http://mdg.vsb.cz/portal |
[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] http://mdg.vsb.cz/portal |
| Recommended Reading: |
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[1] Polák, J.: Přehled středoškolské matematiky. SPN, Praha 1991. ISBN 80-7196-267-8
[2] Polák, J.: Středoškolská matematika v úlohách I. Prometheus, Praha 1996. ISBN 80-7196-021-7
[3] Janeček, F.: Sbírka úloh z matematiky pro střední školy Výrazy, rovnice, nerovnice a jejich soustavy. Prometheus, Praha 2011.
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[1] Polák, J.: Přehled středoškolské matematiky. SPN, Praha 1991. ISBN 80-7196-267-8
[2] Polák, J.: Středoškolská matematika v úlohách I. Prometheus, Praha 1996. ISBN 80-7196-021-7
[3] Janeček, F.: Sbírka úloh z matematiky pro střední školy Výrazy, rovnice, nerovnice a jejich soustavy. Prometheus, Praha 2011.
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| 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 | | |