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Synthetic geometry II - OB2310N202

Title:	Syntetická geometrie II
Guaranteed by:	Katedra matematiky a didaktiky matematiky (41-KMDM)
Faculty:	Faculty of Education
Actual:	from 2013 to 2016
Semester:	summer
E-Credits:	4
Examination process:	summer s.:combined
Hours per week, examination:	summer s.:2/1, C+Ex [HT]
Capacity:	90 / 46 (999)
Min. number of students:	unlimited
4EU+:	no
Virtual mobility / capacity:	no
State of the course:	taught
Language:	Czech
Teaching methods:	full-time
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:	prof. RNDr. Naďa Vondrová, Ph.D.
Teacher(s):	Mgr. Marie Holíková, 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 :	OB2310N013
Interchangeability :	OB2310202
Is interchangeable with:	OKB2310N22

Opinion survey results Examination dates Schedule Noticeboard

Annotation -

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.

Last update: JANCARIK/PEDF.CUNI.CZ (17.05.2012)

Aim of the course -

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

Last update: JANCARIK/PEDF.CUNI.CZ (17.05.2012)

Literature -

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.

Last update: JANCARIK/PEDF.CUNI.CZ (17.05.2012)

Teaching methods -

Lecture and seminars.

Last update: JANCARIK/PEDF.CUNI.CZ (17.05.2012)

Requirements to the exam - Czech

Podmínky splnění předmětu: aktivní účast na seminářích, úspěšné napsání zápočtové písemky z učiva Syntetické geometrie I a Syntetické geometrie II. Ústní zkouška.

Last update: Zamboj Michal, Mgr., Ph.D. (02.03.2017)

Syllabus -

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.

Last update: JANCARIK/PEDF.CUNI.CZ (17.05.2012)