M4522 Geometry 3

Faculty of Science
Spring 2012
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
Thu 8:00–9:50 M2,01021
  • Timetable of Seminar Groups:
M4522/01: Tue 18:00–19:50 M5,01013, 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 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)
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 - acreditation, Spring 2013, Spring 2014, Spring 2015, Spring 2016, Spring 2017, spring 2018, Spring 2019, Spring 2020.
  • Enrolment Statistics (Spring 2012, recent)
  • Permalink: https://is.muni.cz/course/sci/spring2012/M4522