MA7BP_CGE2 Geometry 2 - Seminar

Faculty of Education
Spring 2006
Extent and Intensity
0/2/0. 2 credit(s). Type of Completion: z (credit).
Teacher(s)
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
MA7BP_CGE2/01: Thu 9:20–11:00 učebna 37
MA7BP_CGE2/02: Thu 11:05–12:45 učebna 37
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
Isometric, similarity, and generic affine transformations. Fixed points and eigenvectors. Classifications and decompositions.
Syllabus
  • Isometric, similarity, and generic affine mappings, in particular, 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, respectively). Transformations of real plane in view of operations with complex numbers, selected constructive problems in plane.
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
Language of instruction
Czech
Further Comments
Study Materials
The course is taught annually.
The course is also listed under the following terms Spring 2004, Spring 2005, Spring 2007, Spring 2008.
  • Enrolment Statistics (Spring 2006, recent)
  • Permalink: https://is.muni.cz/course/ped/spring2006/MA7BP_CGE2