Subjects

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Elementary mathematics II - OB2310002

Title:	Elementární matematika II
Guaranteed by:	Katedra matematiky a didaktiky matematiky (41-KMDM)
Faculty:	Faculty of Education
Actual:	from 2019
Semester:	summer
E-Credits:	1
Examination process:	summer s.:
Hours per week, examination:	summer s.:0/1, C [HT]
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
Is provided by:	OKBM1M111A
Explanation:	Rok1
Old code:	EG
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:	PhDr. Petr Dvořák, Ph.D.
Class:	Matematika 1. cyklus - povinné
Classification:	Mathematics > Mathematics General
Pre-requisite :	OB2310001
Is pre-requisite for:	OB1310209, OKB1310209
Is interchangeable with:	OB1310011, O02310002

Opinion survey results Examination dates Schedule Noticeboard

Annotation -

Complex numbers, operations with c.n., relations of the operations with geometric mappings in the plane. n-th root of a c.n., polygons. Applications. Residue classes, Fermat and Euler theorem.

Last update: DVORAKP (21.06.2007)

Aim of the course -

The goal is to introduce the geomteric application of complex numbers, and polygons and their properties.

Last update: ZHOUF/PEDF.CUNI.CZ (21.02.2009)

Literature -

§ Hruša,K., Kraemer,E., Sedláček,J.,Vyšín,J.,Zelinka,R. Přehled elementární matematiky. Praha: SNTL, 1994.

§ Ráb,M. Komplexní čísla v elementární matematice.Brno: Vydavatelství MU, 1996. ISBN 80-210-1475-X.

§ Vyšín, J. Vybrané stati z elementární geometrie. Praha: SPN, 1972 (skripta).

§ Vyšín, J. Lineární komplexní funkce. Praha: SNTL,1958.

Last update: DVORAKP/PEDF.CUNI.CZ (05.10.2008)

Teaching methods -

Seminar

Last update: DVORAKP/PEDF.CUNI.CZ (06.10.2008)

Syllabus -

Complex numbers and their geometric representation in the plane.

Phylogeny of the concept of a complex number.

Transformation of ortonormal coordinates into complex coordinates in the plane (and vice versa).

Distance between two points in complex coordinates.

Analytic description of a line and a circle in complex coordinates.

Congruence.

Residue classes.

Fermat and Euler theorem.

Last update: ZHOUF/PEDF.CUNI.CZ (21.02.2009)