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Course, academic year 2019/2020
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Analytic Geometry II - OKB2310204
Title in English: Analytická geometrie II
Guaranteed by: Katedra matematiky a didaktiky matematiky (41-KMDM)
Faculty: Faculty of Education
Actual: from 2010
Semester: winter
E-Credits: 3
Examination process: winter s.:written
Hours per week, examination: winter s.:0/0 C+Ex [hours/semester]
Extent per academic year: 8 [hours]
Capacity: unknown / unknown (999)
Min. number of students: unlimited
State of the course: taught
Language: Czech
Teaching methods: combined
Additional information:
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 : OKB2310203
Is interchangeable with: OKB2310N24
Annotation -
Last update: JANCARIK/PEDF.CUNI.CZ (04.06.2010)
Analytic approach to the following geometric transformations: Congruences, similarities, affine transformations in E2 and A2.
Aim of the course -
Last update: JANCARIK/PEDF.CUNI.CZ (04.06.2010)

The goal is to introduce the analytic description of geometric transformations in E2 (congruences, similarities, affine 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 (04.06.2010)

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 (04.06.2010)

Lectures and seminars.

Requirements to the exam - Czech
Last update: JANCARIK/PEDF.CUNI.CZ (04.06.2010)

Požadavky k zápočtu a zkoušce jsou uveřejněny na stránce vyučující (, sekce KMDM, podsekce Pracovníci).

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

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

  • Group of congruences in E2

  • Group of similarities in E2

  • Group of affine transformations in E2 and A2
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