Subjects

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Pre-algebra - OKB2310008

Title:	Pre-algebra
Guaranteed by:	Katedra matematiky a didaktiky matematiky (41-KMDM)
Faculty:	Faculty of Education
Actual:	from 2019
Semester:	winter
E-Credits:	5
Examination process:	winter s.:
Hours per week, examination:	winter s.:0/0, C+Ex [HT]
Extent per academic year:	14 [hours]
Capacity:	unknown / unknown (999)
Min. number of students:	unlimited
4EU+:	no
Virtual mobility / capacity:	no
State of the course:	not taught
Language:	Czech
Teaching methods:	full-time
Teaching methods:	full-time
Note:	course can be enrolled in outside the study plan enabled for web enrollment priority enrollment if the course is part of the study plan

Guarantor:	prof. RNDr. Jarmila Novotná, CSc.
Class:	Matematika 1. cyklus - povinné
Classification:	Mathematics > Mathematics General
Interchangeability :	OB2310008
Is pre-requisite for:	OKB1310N02, OKB2310N09, OKB2310208

Opinion survey results Examination dates Schedule Noticeboard

Annotation -

Last update: JANCARIK/PEDF.CUNI.CZ (27.05.2010)

The basic course covering the basic elements necessary for further mathematics courses.

Aim of the course -

Last update: JANCARIK/PEDF.CUNI.CZ (27.05.2010)

Subject aiming to acquaint students with these basic parts of algebra and theoretical arithmetic on which school mathematics is based and which serve as tools for other mathematical disciplines in teacher training.

Literature -

Last update: NOVOTNAJ/PEDF.CUNI.CZ (01.10.2014)

BLAŽEK, J. a kol.: Algebra a teoretická aritmetika 1. Praha: SPN, 1983.
KATRIŇÁK, T. a kol.: Algebra a teoretická aritmetika 1. Bratislava, Praha: ALFA, SNTL, 1985.
NOVOTNÁ, J., TRCH, M.: Algebra a teoretická aritmetika, Sbírka příkladů část 3, Základy algebry. 2. Vyd. Praha: UK-PedF, 2004.
HRUŠA, K., DLOUHÝ, Z., ROHLÍČEK, J.: Úvod do studia matematiky. Praha: Karolinum 1991.
NOVOTNÁ, J. a kol.: Sbírka úloh z matematiky (nejen) pro přípravu k maturitě a přijímacím zkouškám na vysoké školy. 2. vyd. Praha: Scientia, 2000.

Teaching methods -

Last update: JANCARIK/PEDF.CUNI.CZ (27.05.2010)

Lecture & practice

Requirements to the exam - Czech

Last update: prof. RNDr. Jarmila Novotná, CSc. (08.09.2017)

Požadavky k zápočtu: úspěšné splnění zápočtového testu (může být vyučujícím rozdělen do dvou částí); pro test jsou možné dva opravné pokusy

Forma zkoušky: písemná a ústní

Syllabus -

Last update: JANCARIK/PEDF.CUNI.CZ (27.05.2010)

Statement, variable and constant. Truth values. Equivalent statements, tautology, contradiction. Quantifiers. Negation. Operations with statements.

Intuitive approach to sets. Equality of sets, inclusion. Basic operations with sets. Subsets and their systems. Decomposition of a set.

Number sets: Natural numebrs and mathematics induction; integers, divisibility in the set of integers; real and complex numbers, their line and plane representations.

Binary relations over a set and their properties, esp. equivalence and order. Mappings of sets and their properties.

Binary operations on a set and their basic properties. Basic algebraic structures (group, number field) and their properties.

Algebraic equality and inequality. Algebraic equation and inequation, their solvability and solution in simpler cases.