PdF:MA7BP_CGE2 Geometry 2 - Seminar - Course Information

MA7BP_CGE2 Geometry 2 - Seminar

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

MA7BP_CGE2/01: Mon 14:20–16:00 učebna 37, V. Žádník
MA7BP_CGE2/02: Thu 14:20–16:00 učebna 37, 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

• Lower Secondary School Teacher Training in Mathematics (programme PdF, B-SPE)
• Lower Secondary School Teacher Training in Mathematics (programme PdF, B-TV)
• Lower Secondary School Teacher Training in Mathematics (programme PdF, M-TV)
• Lower Secondary School Teacher Training in Mathematics (programme PdF, M-ZS5)

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

• Šedivý, Ondrej, Geometria 2, SPN Bratislava, 1987. 277 s.
• SEKANINA, Milan. Geometrie. 1. vyd. Praha: Státní pedagogické nakladatelství, 1988, 307 s. info

Language of instruction

Czech

Further Comments

Study Materials
The course is taught annually.

• Enrolment Statistics (recent)
  
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