M4522 Geometry 3

Faculty of Science
Spring 2014
Extent and Intensity
2/2/0. 3 credit(s) (příf plus uk k 1 zk 2 plus 1 > 4). Type of Completion: zk (examination).
Teacher(s)
prof. RNDr. Josef Janyška, DSc. (lecturer)
Mgr. Jiří Herber (seminar tutor)
Guaranteed by
doc. RNDr. Eduard Fuchs, CSc.
Department of Mathematics and Statistics – Departments – Faculty of Science
Supplier department: Department of Mathematics and Statistics – Departments – Faculty of Science
Timetable
Wed 8:00–9:50 M4,01024
  • Timetable of Seminar Groups:
M4522/01: Wed 18:00–19:50 M1,01017, J. Herber
Prerequisites
Knowledge of M1500 Algebra 1, M2500 Algebra 2 and M3521 Geometry 2.
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
The goal is the analytical theory of mappings in affine and Euclidean spaces of dimension 2 and 3 and corresponding algorithms. Students should be able to use analytical method of mappings and to solve basic geometrical problems.
Syllabus
  • Linear mappings of vector spaces. Affine mappings. Mappings in Euclidean spaces.
Literature
  • SEKANINA, Milan. Geometrie. 1. vyd. Praha: Státní pedagogické nakladatelství, 1986, 197 s. URL info
  • SEKANINA, Milan. Geometrie. 1. vyd. Praha: Státní pedagogické nakladatelství, 1988, 307 s. info
  • HORÁK, Pavel and Josef JANYŠKA. Analytická geometrie. Brno: Masarykova univerzita v Brně, 1997, 151 s. ISBN 80-210-1623-X. info
  • KADLEČEK, Jiří and Jan TROJÁK. Geometrie. Vyd. 1. Praha: Státní pedagogické nakladatelství, 1984, 249 s. info
  • BOČEK, Leo and Jaroslav ŠEDIVÝ. Grupy geometrických zobrazení. Vyd. 1. Praha: Státní pedagogické nakladatelství, 1979, 213 s. info
  • ŠMARDA, Bohumil. Analytická geometrie. Vyd. 1. Praha: Státní pedagogické nakladatelství, 1978, 157 s. info
Teaching methods
Lecture with a seminar.
Assessment methods
Lecture with a seminar. Examination consists of two parts: written and oral.
Language of instruction
Czech
Follow-Up Courses
Further comments (probably available only in Czech)
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 2015, Spring 2016, Spring 2017, spring 2018, Spring 2019, Spring 2020.
  • Enrolment Statistics (Spring 2014, recent)
  • Permalink: https://is.muni.cz/course/sci/spring2014/M4522