MUC21 Construction geometry

Faculty of Science
Spring 2025
Extent and Intensity
2/2/0. 4 credit(s). Type of Completion: zk (examination).
In-person direct teaching
Teacher(s)
RNDr. Jan Vondra, Ph.D. (lecturer)
Guaranteed by
RNDr. Jan Vondra, Ph.D.
Department of Mathematics and Statistics – Departments – Faculty of Science
Supplier department: Department of Mathematics and Statistics – Departments – Faculty of Science
Prerequisites
Secondary school geometry.
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
Learning aim of the course is to deepen the knowledge of geometry in the plane and to enhance the ability to solve spatial problems.
Learning outcomes
At the end of the course the student will be able to:
understand and explain the tasks of school geometry,
solving problems about the focal properties of the conics,
handle the affinity and perspective collineation,
display solids in free parallel projection,
solve spatial problems in free parallel projection.
Syllabus
  • Geometric mappings.
  • The power of point to a circle.
  • Conic - focal properties.
  • Axial affinity - affine image of a circle.
  • A perspective collineation.
  • Free parallel projection - projection and cuts of angular solids, projection of rounded solids, nets of solids.
Literature
  • VONDRA, Jan. Matematika pro střední školy - 3. díl, PLANIMETRIE. 1st ed. Brno: Didaktis, 2013, 132 pp. ISBN 978-80-7358-211-1. info
  • VONDRA, Jan. Matematika pro střední školy - 6. díl, STEREOMETRIE. 1st ed. Brno: Didaktis, 2014, 88 pp. ISBN 978-80-7358-220-3. info
  • POMYKALOVÁ, Eva. Matematika pro gymnázia. 5. vydání. Praha: Prometheus, 2008, 206 stran. ISBN 9788071963585. info
  • HORÁK, Stanislav. Kružnice. 1. vyd. Praha: Mladá fronta, 1966, 123 s. URL info
  • HARANT, Michal and Oldřich LANTA. Deskriptivní geometrie pro II. ročník SVVŠ. Vyd. 1. Praha: Státní pedagogické nakladatelství, 1965, 283 s. info
  • PIJÁK, Vladimír. Konštrukčná geometria : pre matematicko-fyzikálne a pedagogické fakulty (pre učiteľstvo všeobecnovzdelávacích predmetov v kombinácii s matematikou). 1. vyd. Bratislava: Slovenské pedagogické nakladateľstvo, 1985, 301 s. info
Teaching methods
Lecture with a seminar.
Assessment methods
2 written tests, each on 50 points, from each need to get at least 26 points, oral exam.
Language of instruction
Czech
Follow-Up Courses
Further Comments
The course is taught annually.
The course is taught: every week.
The course is also listed under the following terms Spring 2020, Spring 2021, Spring 2022, Spring 2023, Spring 2024.
  • Enrolment Statistics (recent)
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