PdF:MA0007 Geometry 1 - Course Information
MA0007 Geometry 1
Faculty of EducationSpring 2023
- Extent and Intensity
- 2/2/0. 5 credit(s). Type of Completion: zk (examination).
- Teacher(s)
- doc. Mgr. Vojtěch Žádník, Ph.D. (lecturer)
doc. Mgr. Vojtěch Žádník, Ph.D. (seminar tutor) - Guaranteed by
- doc. Mgr. Vojtěch Žádník, Ph.D.
Department of Mathematics – Faculty of Education
Supplier department: Department of Mathematics – Faculty of Education - Timetable
- Thu 16:00–17:50 učebna 35
- Timetable of Seminar Groups:
MA0007/02: Thu 12:00–13:50 učebna 35, V. Žádník
MA0007/03: Thu 18:00–19:50 učebna 34, V. Žádník - 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 for Education (programme PdF, B-MA3S) (2)
- Mathematics for Education (programme PdF, B-SPE)
- Course objectives
- The aim of the course is to acquaint students with the foundations of Euclidean geometry, with classical constructional problems, with various geometric mappings and their application in solving problems, both planimetric and stereometric.
- Learning outcomes
- At the end of the course, students should be able to understand foundations of Euclidean geometry, to solve classical constructional problems, to distinguish various geometric mappings and to apply them for solving problems, both planimetric and stereometric.
- Syllabus
- Introduction to Euclidean geometry, Euclidean constructions, the geometry of algebraic operations, contact problems.
- Isometries, similarities, conformal, affine and projective mappings: basic examples, general properties, applications.
- Mappings of the space to the plane, projections of solid bodies and their plane intersections, determination of true relations and magnitudes.
- Literature
- recommended literature
- ARTMANN, Benno. Euclid - the creation of mathematics. Berlin: Springer, 1999, xvi, 341. ISBN 0387984232. info
- KUŘINA, František. Deset geometrických transformací. 1. vyd. Praha: Prometheus, 2002, 282 s. ISBN 8071962317. info
- URBAN, Alois. Deskriptivní geometrie. Praha: Státní nakladatelství technické literatury, 1965, 365 s. URL info
- Teaching methods
- Lectures and seminar.
- Assessment methods
- Individual homework, two written tests in seminars. The exam has both written and oral part.
- Language of instruction
- Czech
- Further Comments
- Study Materials
The course is taught annually.
- Enrolment Statistics (Spring 2023, recent)
- Permalink: https://is.muni.cz/course/ped/spring2023/MA0007