M2520 Geometry 1

Faculty of Science
spring 2018
Extent and Intensity
1/2/0. 2 credit(s). Type of Completion: zk (examination).
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
Timetable
Thu 14:00–14:50 M1,01017
  • Timetable of Seminar Groups:
M2520/01: Thu 8:00–9:50 M5,01013, J. Vondra
M2520/02: Wed 8:00–9:50 M5,01013, J. Vondra
Prerequisites
Secondary school geometry.
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
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.
Language of instruction
Czech
Follow-Up Courses
Further Comments
Study Materials
The course is taught annually.
The course is also listed under the following terms Spring 2008 - for the purpose of the accreditation, Spring 2011 - only for the accreditation, Spring 2000, Spring 2001, Spring 2002, Spring 2003, Spring 2004, Spring 2005, Spring 2006, Spring 2007, Spring 2008, Spring 2009, Spring 2010, Spring 2011, Spring 2012, spring 2012 - acreditation, Spring 2013, Spring 2014, Spring 2015, Spring 2016, Spring 2017, Spring 2019.
  • Enrolment Statistics (spring 2018, recent)
  • Permalink: https://is.muni.cz/course/sci/spring2018/M2520