Ma3DC_KG4 Geometry 4

Faculty of Education
Autumn 2017
Extent and Intensity
0/8/0. 1 credit(s). Type of Completion: z (credit).
Teacher(s)
RNDr. Marta Francová, CSc. (seminar tutor)
doc. Mgr. Vojtěch Žádník, Ph.D. (seminar tutor)
Guaranteed by
doc. RNDr. Jaroslav Beránek, CSc.
Department of Mathematics – Faculty of Education
Contact Person: RNDr. Marta Francová, CSc.
Supplier department: Department of Mathematics – Faculty of Education
Prerequisites
Geometry in the range of the course MA2BP_PGE
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 various views on conic sections and their properties. The main part of the course relies on general algebraic (analytic) approach.
Syllabus
  • Several equivalent definitions of conic sections.
  • Elementary analytic manipulations, canonical forms and classifications of conics.
  • Quadratic forms and general quadrics, polarity and corresponding geometric interpretations.
  • Projective, affine and metric properties of conics and quadrics.
  • Quadratic surfaces and applications.
Literature
  • SEKANINA, Milan. Geometrie. Praha: Státní pedagogické nakladatelství, 1986, 195 s. URL info
  • SEKANINA, Milan. Geometrie. 1. vyd. Praha: Státní pedagogické nakladatelství, 1988, 307 s. info
  • JANYŠKA, Josef and Anna SEKANINOVÁ. Analytická teorie kuželoseček a kvadrik. Vyd. 1. Brno: Masarykova univerzita, 1996, iii, 178. ISBN 8021014350. info
Teaching methods
Lectures.
Assessment methods
Individual homework. One written test.
Language of instruction
Czech
Further comments (probably available only in Czech)
The course is taught annually.
The course is taught: in blocks.
Information on the extent and intensity of the course: 8.
The course is also listed under the following terms Autumn 2002, Autumn 2003, Autumn 2004, Autumn 2005, Autumn 2006, Autumn 2007, Autumn 2008, Autumn 2009, Autumn 2010, Autumn 2011, Autumn 2012, Autumn 2013, Autumn 2014, Autumn 2015, Autumn 2016.
  • Enrolment Statistics (recent)
  • Permalink: https://is.muni.cz/course/ped/autumn2017/Ma3DC_KG4