SubjectsSubjects(version: 849)
Course, academic year 2019/2020
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Synthetic geometry II - OKB2310202
Title in English: Syntetická geometrie II
Guaranteed by: Katedra matematiky a didaktiky matematiky (41-KMDM)
Faculty: Faculty of Education
Actual: from 2013
Semester: summer
E-Credits: 3
Examination process: summer s.:combined
Hours per week, examination: summer s.:0/0 C+Ex [hours/semester]
Extent per academic year: 14 [hours]
Capacity: unknown / unknown (200)
Min. number of students: unlimited
State of the course: not taught
Language: Czech
Teaching methods: combined
Level: basic
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. Naďa Vondrová, Ph.D.
Class: Matematika 1. cyklus - povinné
Classification: Mathematics > Mathematics, Algebra, Differential Equations, Potential Theory, Didactics of Mathematics, Discrete Mathematics, Math. Econ. and Econometrics, External Subjects, Financial and Insurance Math., Functional Analysis, Geometry, General Subjects, , Real and Complex Analysis, Mathematics General, Mathematical Modeling in Physics, Numerical Analysis, Optimization, Probability and Statistics, Topology and Category
Pre-requisite : OKB2310012
Interchangeability : OB2310202
Is interchangeable with: OKB2310N22
Annotation -
Last update: JANCARIK/PEDF.CUNI.CZ (04.06.2010)
Basic notions and problems of 3D geometry are introduced. The course consolidates and deepens secondary school knowledge, while the cohesion of plane and 3D geometry is emphasized. The course helps the students understand the connection of geometry and real world more deeply.
Aim of the course -
Last update: JANCARIK/PEDF.CUNI.CZ (04.06.2010)

The goal is to introduce the basic notions and problems of 3D geometry. The course aims at systematization and development of secondary school knowledge.

Literature -
Last update: ZHOUF/PEDF.CUNI.CZ (08.08.2011)

Vyšín, J.: Geometrie pro pedagogické fakulty I,II. Praha, Bratislava : SPN 1965,1966.

Kuřina, F.: Umění vidět v matematice. Praha : SPN 1989.

Kuřina, F.: 10 geometrických transformací. Praha : Prometheus 2002.

Pomykalová, E.: Stereometrie. Matematika pro gymnázia. Praha : Prometheus 2005.

Sekanina, M. a kol.: Geometrie 1,2. Praha : SPN 1986.

Boček, L., Zhouf, J.: Planimetrie. Praha : PedF UK 2009.

Teaching methods -
Last update: STEHLIKO/PEDF.CUNI.CZ (24.02.2012)

Lectures.

Requirements to the exam - Czech
Last update: ZHOUF/PEDF.CUNI.CZ (27.02.2012)
Podmínky k udělení zápočtu: 
- aktivní účast na přednáškách 
- napsání testu - jsou 3 pokusy (kdo má zapsán kurz podruhe, tak 4 pokusy), za test je 100% úspěšný je ten, kdo ziská aspoň jednou 50%,
nebo aspoň dvakrát 40%, nebo v součtu tří pokusů aspoň 100% 
Ústní zkouška
Syllabus -
Last update: JANCARIK/PEDF.CUNI.CZ (04.06.2010)

Affine properties of 3D figures. Mutual positions of lines and planes.

Metric properties of 3D figures.

Angle deviations of lines and planes, distances in space.

Sets of points of given properties.

Classification and composition of geometric congruences in space, group of congruences.

Basic properties of similarities in space. Classification and composition of similarities in space, group of similarities.

Polyhedra, Euler's theorem.

 
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