MUC22 Analytical geometry 1

Faculty of Science
autumn 2021
Extent and Intensity
2/2/0. 4 credit(s). Type of Completion: zk (examination).
Taught in person.
Teacher(s)
prof. RNDr. Josef Janyška, DSc. (lecturer)
RNDr. Pavel Šišma, Dr. (seminar tutor)
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
Timetable
Mon 12:00–13:50 M1,01017
  • Timetable of Seminar Groups:
MUC22/01: Wed 14:00–15:50 M4,01024, P. Šišma
MUC22/02: Thu 10:00–11:50 M5,01013, P. Šišma
Prerequisites
KREDITY_MIN ( 30 )
Knowledge of MUC31 Linear algebra.
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
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)
Study Materials
The course is taught annually.
The course is also listed under the following terms Autumn 2019, Autumn 2020.
  • Enrolment Statistics (recent)
  • Permalink: https://is.muni.cz/course/sci/autumn2021/MUC22