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Course, academic year 2019/2020
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Analytic Geometry III - OB1310N268
Title in English: Analytická geometrie III
Guaranteed by: Katedra matematiky a didaktiky matematiky (41-KMDM)
Faculty: Faculty of Education
Actual: from 2017
Semester: summer
E-Credits: 5
Examination process: summer s.:
Hours per week, examination: summer s.:2/2 C [hours/week]
Capacity: unknown / unknown (999)
Min. number of students: unlimited
State of the course: taught
Language: Czech
Teaching methods: full-time
Is provided by: OKB1310N68
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: doc. RNDr. Darina Jirotková, Ph.D.
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 : OB2310N204
Annotation -
Last update: Mgr. Michal Zamboj, Ph.D. (29.01.2018)
Analytic approach to isometric and similar transformations in multidimensional spaces.
Aim of the course -
Last update: Mgr. Michal Zamboj, Ph.D. (29.01.2018)

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.

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

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.

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

Lectures and seminars.

Requirements to the exam - Czech
Last update: Mgr. Michal Zamboj, Ph.D. (29.01.2018)


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

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

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

- Multidimensional space

- Group of isometries
- Group of similarities

 
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