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Ukončeno v akademickém roce 2019/2020

Basics mathematics

Type of study Bachelor
Language of instruction Czech
Code 714-0060/01
Abbreviation ZM
Course title Basics mathematics
Credits 1
Coordinating department Department of Mathematics and Descriptive Geometry
Course coordinator Mgr. Kateřina Kozlová, Ph.D.

Osnova předmětu

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

Povinná literatura

[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] Dostálová, M., Gardavská, E., Hamříková, R., Janků, V., Tannenbergová, M.: Základy matematiky. Elektronické skriptum www.studopory.vsb.cz.

Doporučená literatura

[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.