MA2BP_CGE1 Seminar of Geometry 1

Faculty of Education
Autumn 2010
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. Jaroslav Beránek, CSc.
Department of Mathematics – Faculty of Education
Prerequisites
Good knowledge of linear algebra, solving of systems of linear equations, in particular.
Course Enrolment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
fields of study / plans the course is directly associated with
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
  • HORÁK, Pavel and Josef JANYŠKA. Analytická geometrie. Brno: Masarykova univerzita v Brně, 1997, 151 s. ISBN 80-210-1623-. info
Teaching methods
Seminar.
Assessment methods
Two short written tests, homeworks.
Language of instruction
Czech
Follow-Up Courses
Further comments (probably available only in Czech)
Study Materials
The course is taught annually.
The course is taught: every week.
General note: Předmět je vypsán pouze pro studenty, kteří jej úspěšně neukončili v období PODZIM 2009.
The course is also listed under the following terms Autumn 2008, Autumn 2009.
  • Enrolment Statistics (recent)
  • Permalink: https://is.muni.cz/course/ped/autumn2010/MA2BP_CGE1