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PřF:MUC22 Analytical geometry 1 - Course Information

## 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**- 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

*recommended literature*- ŠMARDA, Bohumil.
*Analytická geometrie [Šmarda, 1978]*. 1. vyd. Praha: Státní pedagogické nakladatelství, 1978. 157 s. info

*not specified*- SEKANINA, Milan.
**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.

- Enrolment Statistics (Autumn 2019, recent)
- Permalink: https://is.muni.cz/course/sci/autumn2019/MUC22