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MA2BP_CGE1 Seminar of Geometry 1

Faculty of Education
autumn 2009

Extent and Intensity

0/2/0. 2 credit(s). Type of Completion: z (credit).

Teacher(s)

Mgr. Josef Nohýnek (seminar tutor)
Mgr. Vojtěch Žádník, Ph.D. (seminar tutor)

Supervisor

doc. RNDr. Jaroslav Beránek, CSc.
Department of Mathematics - Faculty of Education

Timetable of Seminar Groups

MA2BP_CGE1/01 Wed 17:05–18:45 učebna 37, V. Žádník
MA2BP_CGE1/02 Thu 13:25–14:10 učebna 38, Thu 14:20–15:05 učebna 42, V. Žádník

Prerequisites

Good knowledge of linear algebra, solving of systems of linear equations, in particular.

Course Enrollment Limitations

The course is also offered to the students of the fields other than those the course is directly associated with.

Fields of study 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-ZS5)

Course objectives

At the end of the course students should be able to solve standard problems in general Euclidean space including relative positions, distances, and deviations of affine subspaces.

Syllabus

Affine spaces and subspaces. Parametric and general expressions of affine subspaces. The notion of parallelism, relative positions. Half-spaces and convex hulls. Euclidean spaces. Inner product and the notion of perpendicularity. Exterior and vector product, Gramm determinant, volumes. Distances and deviations of subspaces.

Literature