MA0007 Geometry 1

Faculty of Education
Spring 2019
Extent and Intensity
2/2/0. 6 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
Mon 8:00–9:50 B34 učebna
  • Timetable of Seminar Groups:
MA0007/01: Mon 12:00–13:50 C2 učebna, V. Žádník
MA0007/02: Tue 8:00–9:50 D32 učebna, 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
Abstract
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
Po ukončení předmětu bude student znát a při řešení úloh využívat učivo následujících oblastí matematiky: Úvod do eukleidovské geometrie, eukleidovské konstrukce, geometrická algebra, dotykové úlohy. Shodná, podobná, konformní, afinní a projektivní zobrazení: základní příklady, obecné vlastnosti a užití. Zobrazení prostoru do roviny, průměty hranatých těles a jejich řezů, určení skutečných vztahů a velikostí.
Key topics
  • 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.
Study resources and 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
Approaches, practices, and methods used in teaching
Lectures and seminar.
Method of verifying learning outcomes and course completion requirements
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.
The course is also listed under the following terms Spring 2020, Spring 2021, Spring 2022, Spring 2023, Spring 2024, Spring 2025, Spring 2026, Spring 2027.
  • Enrolment Statistics (Spring 2019, recent)
  • Permalink: https://is.muni.cz/course/ped/spring2019/MA0007