MA2BP_CGE2 Geometry 2 - Seminar

Faculty of Education
Spring 2009
Extent and Intensity
0/2/0. 2 credit(s). Type of Completion: z (credit).
Teacher(s)
Mgr. Josef Nohýnek (seminar tutor)
doc. Mgr. Vojtěch Žádník, Ph.D. (seminar tutor)
Guaranteed by
doc. RNDr. Otta Říha, CSc.
Department of Mathematics – Faculty of Education
Timetable of Seminar Groups
MA2BP_CGE2/01: Wed 11:35–13:15 učebna 30, V. Žádník
MA2BP_CGE2/02: Thu 15:15–16:55 učebna 32, J. Nohýnek
Course Enrolment Limitations
The course is only offered to the students of the study fields the course is directly associated with.
fields of study / plans the course is directly associated with
Course objectives
The aim of the course is the study of isometric, similarity, and generic affine transformations using the tools of linear algebra. In particular, we focus in transformations of the Euclidean plane and space.
Syllabus
  • Isometric, similarity, and generic affine mappings, particularly, transformations of Euclidean plane and space. Definition, properties, and matrix representation. Classification via fixed points and eigenvectors. Decomposition into basic mappings (reflections with respect to hyperplanes, homotheties, basic affinities). Transformations of real plane in view of algebraic operations with complex numbers.
Literature
  • SEKANINA, Milan. Geometrie. 1. vyd. Praha: Státní pedagogické nakladatelství, 1988, 307 s. info
  • ŠEDIVÝ, Ondrej. Geometria : pre študentov matematiky učitel'ského štúdia na univerzitách a pedagogických fakultách. 1. vyd. Bratislava: Slovenské pedagogické nakladatel'stvo, 1987, 277 s. info
Assessment methods
Individual homework, one written test.
Language of instruction
Czech
Further Comments
Study Materials
The course is taught annually.
The course is also listed under the following terms Autumn 2008, Spring 2010, Autumn 2010, Spring 2011.
  • Enrolment Statistics (Spring 2009, recent)
  • Permalink: https://is.muni.cz/course/ped/spring2009/MA2BP_CGE2