PřF:MUC22 Analytical geometry 1 - Course Information
MUC22 Analytical geometry 1
Faculty of ScienceAutumn 2023
- Extent and Intensity
- 2/2/0. 4 credit(s). Type of Completion: zk (examination).
- Teacher(s)
- prof. RNDr. Josef Janyška, DSc. (lecturer)
RNDr. Iva Dřímalová, Ph.D. (seminar tutor)
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
- Thu 8:00–9:50 M1,01017
- Timetable of Seminar Groups:
MUC22/02: Tue 16:00–17:50 M5,01013, I. Dřímalová - 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
- Mathematics with a view to Education (programme PřF, B-EB)
- Mathematics with a view to Education (programme PřF, B-FY)
- Mathematics with a view to Education (programme PřF, B-GE)
- Mathematics with a view to Education (programme PřF, B-GK)
- Mathematics with a view to Education (programme PřF, B-CH)
- Mathematics with a view to Education (programme PřF, B-IO)
- Mathematics with a view to Education (programme PřF, B-MA)
- 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. 1. vyd. Praha: Státní pedagogické nakladatelství, 1986, 197 s. URL info
- SEKANINA, Milan. Geometrie. 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. Vyd. 1. 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.
- Enrolment Statistics (Autumn 2023, recent)
- Permalink: https://is.muni.cz/course/sci/autumn2023/MUC22