MA2BP_PGE1 Geometry 1

Faculty of Education
Autumn 2009
Extent and Intensity
2/2/0. 2 credit(s). Type of Completion: z (credit).
Teacher(s)
doc. RNDr. Otta Říha, CSc. (lecturer)
Guaranteed by
doc. RNDr. Jaroslav Beránek, CSc.
Department of Mathematics – Faculty of Education
Contact Person: doc. RNDr. Otta Říha, CSc.
Timetable
Mon 12:30–14:10 učebna 35
Prerequisites
Prerequisites:knowledge in algebra, especialy vector spaces, matrixs calculus, determinants, solution of linear equations.
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 this course, students should be able to: understand and be able to give insight intu the following concepts and problems. Affine space and of its subspaces, coordinate system (affine and rectangular Cartesian), anylytical representation subspaces (parametric and linear equations system), relative position: parallel, intersecting and skew subspaces, subspaces of Euclidean spaces, its perpendicularity, distances and deviations, scalar product, external product, vector product, Gramm eterminant.Students should be able to solve problems and exercises for reasons areas,for example determinate relative position: of subspaces and enumerate distances and deviations of subspaces.
Syllabus
  • Affine space, subspace of affine spaces.
  • Affine coordinate system.
  • Relative position: parallel, intersecting and skew subspaces.
  • Euclidean space, Cartesian coordinate system.
  • Subspaces of Euclidean spaces: perpendicularity, distances and deviations
Literature
  • HORÁK, Pavel and Josef JANYŠKA. Analytická geometrie. Brno: Masarykova univerzita v Brně, 1997, 151 s. ISBN 80-210-1623-X. info
Teaching methods
Lectures.
Assessment methods
Required course,lectures to according weekly timetable, test at the end of this course. Test includes 20 questions with 3 possible answers to question. For credit it is necessary minimally 80% correct answers.
Language of instruction
Czech
Follow-Up Courses
Further comments (probably available only in Czech)
Study Materials
Information on completion of the course: Zápočtový test obsahuje 20 otázek. Vyřaduje se min, 80% správných odpovědí
The course is taught annually.
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 2010.
  • Enrolment Statistics (Autumn 2009, recent)
  • Permalink: https://is.muni.cz/course/ped/autumn2009/MA2BP_PGE1