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Course, academic year 2024/2025
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Equations, inequalities and their systems I - OKB2310261
Title: Rovnice, nerovnice a jejich soustavy I
Guaranteed by: Katedra matematiky a didaktiky matematiky (41-KMDM)
Faculty: Faculty of Education
Actual: from 2013
Semester: summer
E-Credits: 2
Examination process: summer s.:
Hours per week, examination: summer s.:0/0, C [HS]
Extent per academic year: 4 [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: combined
Teaching methods: combined
Old code: ROSO
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: doc. RNDr. Antonín Jančařík, Ph.D.
Class: Matematika 1. cyklus - povinné
Classification: Mathematics > Algebra
Pre-requisite : OKB2310206
Interchangeability : OB2310261
Is co-requisite for: OKB1310005
In complex interchangeability with: OKB2310067
Annotation -
The course introduces different approaches to solving various types of equations, inequalities and their systems in real and complex numbers.
Last update: JANCARIK/PEDF.CUNI.CZ (04.06.2010)
Aim of the course -

The goal of the course is to introduce different approaches to solving various types of equations, inequalities and their systems in real and complex numbers.

Last update: JANCARIK/PEDF.CUNI.CZ (04.06.2010)
Literature -

Odvárko, O.: Metody řešení matematických úloh. Praha : SPN 1990.

Hecht, T.: Metody řešení matematických úloh. Bratislava : SPN 1992.

Hejný, M.: Teória vyučovania matematiky 2. Bratislava : SPN 1989.

Hlaváček, A.: Sbírka řešených příkladů z vyšší matematiky. Praha : SPN 1965.

Novotná, J. a kol.: Sbírka úloh z matematiky. Praha : SPN 1993.

Herman, J., Kučera, R., Šimša, J.: Metody řešení matematických úloh. Brno : MU 1991.

Mathematical olympiad annuals.

Last update: JANCARIK/PEDF.CUNI.CZ (04.06.2010)
Teaching methods -

Seminar.

Last update: JANCARIK/PEDF.CUNI.CZ (04.06.2010)
Requirements to the exam - Czech

Zápočet: aktivní účast ve výuce, plnění domácích úkolů, písemný test

Last update: ZHOUF/PEDF.CUNI.CZ (28.03.2012)
Syllabus -

Algebraic equations.

Particular instances of algebraic equations: linear, quadratic, cubic, quartic.

Systems of linear equations and inequalities.

Systems of non-linear equations and inequalities.

Equations and inequalities with absolute value.

Equations and inequalities with integer part and fractional part.

Diophantine equations.

Parametric equations, inequalities and their systems.

Last update: JANCARIK/PEDF.CUNI.CZ (04.06.2010)
 
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