MUC22 Analytical geometry 1

Faculty of Science
Autumn 2019
Extent and Intensity
2/2/0. 4 credit(s). Type of Completion: zk (examination).
Guaranteed by
prof. RNDr. Josef Janyška, DSc.
Department of Mathematics and Statistics - Departments - Faculty of Science
Supplier department: Department of Mathematics and Statistics - Departments - Faculty of Science
Prerequisites
KREDITY_MIN ( 30 )
Knowledge of M1500 Algebra 1 and M2500 Algebra 2.
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
there are 7 fields of study the course is directly associated with, display
Course objectives
The goals of the course are:
- analytical theory of linear geometric objectss in affine and euclidean spaces of any dimension with emphasis on plane and three-dimensional space;
- mastering of computer techniques for solution of positional and metric tasks;
- support spatial imagination of students.
Learning outcomes
Student will be able to:
- use the analytical method to solve the positional problems in the affine space of any dimension with emphasis on dimensions 2 and 3;
- use the analytical method to solve metric problems in the euklid point space of any dimension with emphasis on dimensions 2 and 3.
Syllabus
  • Affine space:
  • - dimension;
  • - affine frame and affine coordinates;
  • subspaces of the affine space and their expressions;
  • - subspaces positions.
  • Euclidean point space:
  • - the Cartesian frame and the Cartesian coordinates;
  • - distance of subspaces;
  • - perpendicular subspaces and subspaces deviations.
Literature
    recommended literature
  • SEKANINA, Milan. Geometrie. I. 1. vyd. Praha: Státní pedagogické nakladatelství, 1986. 197 s. info
  • SEKANINA, Milan. Geometrie. II. 1. vyd. Praha: Státní pedagogické nakladatelství, 1988. 307 s. info
  • HORÁK, Pavel and Josef JANYŠKA. Analytická geometrie. Brno: Masarykova univerzita v Brně, 1997. 151 s. ISBN 80-210-1623-X. info
    not specified
  • ŠMARDA, Bohumil. Analytická geometrie [Šmarda, 1978]. 1. vyd. Praha: Státní pedagogické nakladatelství, 1978. 157 s. info
Teaching methods
Lecture with a seminar.
Assessment methods
Examination consists of two parts: written and oral.
Language of instruction
Czech
Follow-Up Courses
Further comments (probably available only in Czech)
The course is taught annually.
The course is taught: every week.
The course is also listed under the following terms Autumn 2020, autumn 2021.
  • Enrolment Statistics (Autumn 2019, recent)
  • Permalink: https://is.muni.cz/course/sci/autumn2019/MUC22