M3521 Geometry 2

Faculty of Science
Autumn 2019
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. Kristýna Bisová (seminar tutor)
Bc. Karolína Klempířová (seminar tutor)
Guaranteed by
prof. RNDr. Josef Janyška, DSc.
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:
M3521/01: Tue 16:00–17:50 M5,01013, K. Klempířová
M3521/02: Tue 18:00–19:50 M5,01013, K. Bisová
Prerequisites
KREDITY_MIN(30)
Knowledge of M1500 Algebra 1 and M2500 Algebra 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
there are 7 fields of study the course is directly associated with, display
Abstract
The goals of the course are:
- analytical theory of linear geometric objectss in affine and euclidean spaces of any dimension with emphasis on plane and three-dimensional space;
- mastering of computer techniques for solution of positional and metric tasks;
- support spatial imagination of students.
Learning outcomes
Student will be able to:
- use the analytical method to solve the positional problems in the affine space of any dimension with emphasis on dimensions 2 and 3;
- use the analytical method to solve metric problems in the euklid point space of any dimension with emphasis on dimensions 2 and 3.
Key topics
    • Affine space:
    • - dimension;
    • - affine frame and affine coordinates;
    • subspaces of the affine space and their expressions;
    • - subspaces positions.
    • Euclidean point space:
    • - the Cartesian frame and the Cartesian coordinates;
    • - distance of subspaces;
    • - perpendicular subspaces and subspaces deviations.
Study resources and literature
    recommended 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
    not specified
  • ŠMARDA, Bohumil. Analytická geometrie. Vyd. 1. Praha: Státní pedagogické nakladatelství, 1978, 157 s. info
Approaches, practices, and methods used in teaching
Lecture with a seminar.
Method of verifying learning outcomes and course completion requirements
Examination consists of two parts: written and oral.
Language of instruction
Czech
Follow-Up Courses
Teacher's information
Úspěšné zvládnutí kurzu předpokládá znalost analytické teorie lineárních útvarů podepřené schopností samostatně řešit příslušné příklady.
Further comments (probably available only in Czech)
Study Materials
The course is taught annually.
The course is also listed under the following terms Autumn 2007 - for the purpose of the accreditation, Autumn 1999, Autumn 2010 - only for the accreditation, Autumn 2000, Autumn 2001, Autumn 2002, Autumn 2003, Autumn 2004, Autumn 2005, Autumn 2006, Autumn 2007, Autumn 2008, Autumn 2009, Autumn 2010, Autumn 2011, Autumn 2011 - acreditation, Autumn 2012, Autumn 2013, Autumn 2014, Autumn 2015, Autumn 2016, autumn 2017, Autumn 2018.
  • Enrolment Statistics (recent)
  • Permalink: https://is.muni.cz/course/sci/autumn2019/M3521