MA0013 Geometry 3

Faculty of Education
Spring 2026
Extent and Intensity
0/2/0. 3 credit(s). Type of Completion: k (colloquium).
In-person direct teaching
Teacher(s)
doc. Mgr. Vojtěch Žádník, Ph.D. (lecturer)
RNDr. Jakub Novák (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 of Seminar Groups
MA0013/01: Thu 15:00–16:50 D32 učebna, V. Žádník
MA0013/02: Thu 17:00–18:50 D44 učebna, V. Žádník
Prerequisites
Good knowledge of linear algebra.
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 course aims to introduce students to an algebraic approach to the projective extension of Euclidean and affine spaces, as well as the respective characterizations of projective, affine, similarity and isometric mappings.
Learning outcomes
By the end of the course, students should understand the concept of the projective extension of Euclidean and affine spaces, its algebraization, and the characterizations of projective, affine, similarity and isometric mappings.
Key topics
  • Introduction to projective geometry, projective invariants, projective extension of affine spaces. Homogeneous coordinates and analytic expressions.
  • The fundamental theorem of projective geometry and its consequences. Characterization of affine, similarity and isometric mappings among of all projective mappings. Transformations and their fixed elements, overview and characterization of basic transformations.
Study resources and literature
  • SEKANINA, Milan. Geometrie. 1. vyd. Praha: Státní pedagogické nakladatelství, 1988, 307 s. info
  • ŠEDIVÝ, Ondrej. Geometria : pre študentov matematiky učitel'ského štúdia na univerzitách a pedagogických fakultách. 1. vyd. Bratislava: Slovenské pedagogické nakladatel'stvo, 1987, 277 s. info
Approaches, practices, and methods used in teaching
Seminar.
Method of verifying learning outcomes and course completion requirements
Individual homework. Colloquium.
Language of instruction
Czech
Further Comments
Study Materials
The course is taught annually.
The course is also listed under the following terms Spring 2019, Autumn 2019, Spring 2020, Spring 2021, Spring 2022, Spring 2023, Spring 2024, Spring 2025, Spring 2027.
  • Enrolment Statistics (recent)
  • Permalink: https://is.muni.cz/course/ped/spring2026/MA0013