SubjectsSubjects(version: 941)
Course, academic year 2022/2023
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Complex numbers - OB1310011
Title: Komplexní čísla
Guaranteed by: Katedra matematiky a didaktiky matematiky (41-KMDM)
Faculty: Faculty of Education
Actual: from 2022
Semester: summer
E-Credits: 2
Examination process: summer s.:
Hours per week, examination: summer s.:0/1, C [HT]
Capacity: unknown / unknown (999)
Min. number of students: unlimited
Virtual mobility / capacity: no
State of the course: not taught
Language: Czech
Teaching methods: full-time
Teaching methods: full-time
Is provided by: OPBM1M111A
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
Interchangeability : OB2310002
Is pre-requisite for: OB2310254, OB1310103
Is interchangeable with: OKB2310002
Annotation -
Last update: JANCARIK/PEDF.CUNI.CZ (04.06.2010)
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.
Aim of the course -
Last update: JANCARIK/PEDF.CUNI.CZ (04.06.2010)

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

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

§ 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.

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


Requirements to the exam - Czech
Last update: STEHLIKO (20.05.2019)

Docházka, seminární práce, test.

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

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