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Basics mathematics

Type of study Bachelor
Language of instruction Czech
Code 230-0300/02
Abbreviation ZM
Course title Basics mathematics
Credits 1
Coordinating department Department of Mathematics
Course coordinator Mgr. Jakub Stryja, Ph.D.

Subject syllabus

Number sets, intervals, intervals operations (union, intersection), quantifiers, the absolute value of a real number.
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)
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)
Unequations: linear inequalities in the AND and mutual shape
Domains complex functions
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.
Analytic geometry in the plane II. ellipse, hyperbole (lin graph. angled FCE), Dish (graph quadratic FCE).
Determining the basic parameters by adding a square.

E-learning

http://mdg.vsb.cz/portal
www.studopory.vsb.cz

Literature

[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

Advised literature

[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.