MA0007 Geometry 1

Faculty of Education
Spring 2025
Extent and Intensity
2/2/0. 5 credit(s). Type of Completion: zk (examination).
In-person direct teaching
Teacher(s)
doc. Mgr. Vojtěch Žádník, Ph.D. (lecturer)
RNDr. Jakub Novák (seminar tutor)
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
Wed 12:00–13:50 učebna 35
  • Timetable of Seminar Groups:
MA0007/01: Wed 10:00–11:50 učebna 30, V. Žádník
MA0007/02: Tue 9:00–10:50 učebna 35, J. Novák, V. Žádník
MA0007/03: Tue 11:00–12:50 učebna 35, J. Novák, V. Žádník
Course Enrolment Limitations
The course is only offered to the students of the study fields the course is directly associated with.
fields of study / plans the course is directly associated with
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
The course is taught annually.
The course is also listed under the following terms Spring 2019, Spring 2020, Spring 2021, Spring 2022, Spring 2023, Spring 2024.
  • Enrolment Statistics (recent)
  • Permalink: https://is.muni.cz/course/ped/spring2025/MA0007