230-0300/02 – Basics mathematics (ZM)

Gurantor departmentDepartment of MathematicsCredits1
Subject guarantorMgr. Kateřina Kozlová, Ph.D.Subject version guarantorMgr. Jakub Stryja, Ph.D.
Study levelundergraduate or graduateRequirementOptional
Year1Semesterwinter
Study languageCzech
Year of introduction2019/2020Year of cancellation
Intended for the facultiesFBIIntended for study typesBachelor
Instruction secured by
LoginNameTuitorTeacher giving lectures
CER365 doc. Ing. Martin Čermák, Ph.D.
PAL39 RNDr. Radomír Paláček, Ph.D.
STR78 Mgr. Jakub Stryja, Ph.D.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Combined Credit 0+8

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

Tutorials

Summary

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] http://mdg.vsb.cz/portal

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

E-learning

Další požadavky na studenta

no additional requirements

Prerequisities

Subject has no prerequisities.

Co-requisities

Subject has no co-requisities.

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.

Conditions for subject completion

Conditions for completion are defined only for particular subject version and form of study

Occurrence in study plans

Academic yearProgrammeField of studySpec.FormStudy language Tut. centreYearWSType of duty
2019/2020 (B3908) Fire Protection and Industrial Safety K Czech Ostrava 1 Optional study plan
2019/2020 (B3908) Fire Protection and Industrial Safety K Czech Praha 1 Optional study plan
2019/2020 (B3908) Fire Protection and Industrial Safety K Czech Lázně Bohdaneč 1 Optional study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner