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Analytic Geometry III - OKB1310N68

Title:	Analytická geometrie III
Guaranteed by:	Katedra matematiky a didaktiky matematiky (41-KMDM)
Faculty:	Faculty of Education
Actual:	from 2014 to 2018
Semester:	summer
E-Credits:	5
Examination process:	summer s.:
Hours per week, examination:	summer s.:0/0, C [HS]
Extent per academic year:	16 [hours]
Capacity:	unknown / unknown (999)
Min. number of students:	unlimited
4EU+:	no
Virtual mobility / capacity:	no
State of the course:	taught
Language:	Czech
Teaching methods:	combined
Additional information:	http://kmdm.pedf.cuni.cz/Default.aspx?PorZobr=1&PolozkaID=61&ClanekID=78
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. doc. RNDr. Darina Jirotková, Ph.D.
Teacher(s):	Mgr. Marie Holíková, Ph.D. Mgr. Michal Zamboj, 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 :	OKB2310N24

Opinion survey results Examination dates SS schedule Noticeboard

Annotation -

Analytic approach to isometric and similar transformations in multidimensional spaces.

Last update: Zamboj Michal, Mgr., Ph.D. (29.01.2018)

Aim of the course -

The goal is to introduce the analytic description of geometric transformations and solve problems with transformations using both synthetic and analytic ways. The students are encouraged to discover knowledge through problem solving.

Last update: Zamboj Michal, Mgr., Ph.D. (29.01.2018)

Literature -

Based on the university textbook "Hejný, M., Jirotková, D., Stehlíková, N. Geometrické transformace (metoda analytická). UK v Praze, PedF, Praha 1997", materials are being created which are available for students in an electronic way.

§ Brannan, D.A., Esplen, M.F. Gray, J.J. Geometry. Cambridge, UK, Cambridge University Press, 2000.

§ Cederberg, J.N. A course in modern geometries. New York, Springer Verlag, 2001.

§ Gans, D. Transformations and geometries. New York, Appleton-Century-Crofts, Meredith Corporation, 1969.

§ Hejný, M., Jirotková, D., Stehlíková, N. Geometrické transformace (metoda analytická). Praha, UK v Praze, PedF, 1997.

§ Jelínek, M. Transformace. Praha, SPN, 1976.

§ Kuřina, F. Deset geometrických transformací. Praha, Prometheus, 2002.

Last update: JANCARIK/PEDF.CUNI.CZ (13.08.2012)

Teaching methods -

Lectures and seminars.

Last update: JANCARIK/PEDF.CUNI.CZ (13.08.2012)

Requirements to the exam - Czech

Aktivní účast na výuce, domácí řešení zadaných geometrických úloh, zápočtová písemka - jsou 2 opravné pokusy ve vypsaných termínech.

Last update: Zamboj Michal, Mgr., Ph.D. (29.01.2018)

Syllabus -

The following notions are studied in an analytic way with references to the synthetic approach:

- Multidimensional space

- Group of isometries
- Group of similarities

Last update: Zamboj Michal, Mgr., Ph.D. (29.01.2018)