714-0060/01 – Basics mathematics (ZM)

Gurantor departmentDepartment of Mathematics and Descriptive GeometryCredits1
Subject guarantorMgr. Kateřina Kozlová, Ph.D.Subject version guarantorMgr. Kateřina Kozlová, Ph.D.
Study levelundergraduate or graduateRequirementOptional
Study languageCzech
Year of introduction2016/2017Year of cancellation2019/2020
Intended for the facultiesFBIIntended for study typesBachelor
Instruction secured by
LoginNameTuitorTeacher giving lectures
KRA44 Mgr. Kateřina Kozlová, Ph.D.
PAL39 RNDr. Radomír Paláček, Ph.D.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit 0+2

Subject aims expressed by acquired skills and competences

Repetition of the secondary school mathematics, balancing knowledge of mathematics among students of different types of secondary schools.

Teaching methods



Real and complex numbers, operations with algebraic expressions, equations and inequalities, functions, exponential and logarithmic equations, trigonometric equations, analytic geometry, arithmetic and geometric sequences.

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

Recommended 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.

Way of continuous check of knowledge in the course of semester


Other requirements

no additional requirements


Subject has no prerequisities.


Subject has no co-requisities.

Subject syllabus:

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

Conditions for subject completion

Full-time form (validity from: 2016/2017 Winter semester, validity until: 2019/2020 Summer semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of pointsMax. počet pokusů
Credit Credit   3
Mandatory attendence participation:

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Conditions for subject completion and attendance at the exercises within ISP:

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Occurrence in study plans

Academic yearProgrammeField of studySpec.ZaměřeníFormStudy language Tut. centreYearWSType of duty
2018/2019 (B3908) Fire Protection and Industrial Safety P Czech Ostrava 1 Optional study plan
2017/2018 (B3908) Fire Protection and Industrial Safety P Czech Ostrava 1 Optional study plan
2016/2017 (B3908) Fire Protection and Industrial Safety P Czech Ostrava 1 Optional study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner