SubjectsSubjects(version: 945)
Course, academic year 2023/2024
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Geometry II - NUMP011
Title: Geometrie II
Guaranteed by: Department of Mathematics Education (32-KDM)
Faculty: Faculty of Mathematics and Physics
Actual: from 2016
Semester: winter
E-Credits: 5
Hours per week, examination: winter s.:2/2, C+Ex [HT]
Capacity: unlimited
Min. number of students: unlimited
4EU+: no
Virtual mobility / capacity: no
State of the course: cancelled
Language: Czech
Teaching methods: full-time
Teaching methods: full-time
Guarantor: Mgr. Zdeněk Halas, DiS., Ph.D.
doc. RNDr. Jarmila Robová, CSc.
Class: M Bc. DGZV
M Bc. DGZV > Povinné
M Bc. MZV
M Bc. MZV > Povinné
Classification: Mathematics > Mathematics, Algebra, Differential Equations, Potential Theory, Didactics of Mathematics, Discrete Mathematics, Math. Econ. and Econometrics, External Subjects, Financial and Insurance Math., Functional Analysis, Geometry, General Subjects, , Real and Complex Analysis, Mathematics General, Mathematical Modeling in Physics, Numerical Analysis, Optimization, Probability and Statistics, Topology and Category
Incompatibility : NMUM204
Interchangeability : NMUM204
Is incompatible with: NPGR014, NMUM812, NMUM204
Is interchangeable with: NMUM812, NMUM204, NMUE006
Annotation -
Last update: T_KDM (23.04.2008)
Continuation of Geometry I. Geometric mappings and their properties, analytical expressions, fixpoints and eigenvectors are studied. Good knowledge of linear algebra (homomorphisms, matrices, determinants) is required.
Aim of the course -
Last update: T_KDM (19.05.2008)

This course helps to obtain theoretical background for teaching mathematics at high school.

Literature -
Last update: T_KDM (09.05.2008)

Sekanina a kol., Geometrie II

Teaching methods -
Last update: T_KDM (20.05.2008)

Lectures and exercises.

Syllabus -
Last update: T_KDM (28.05.2003)

Affine transformation and its analytical representation (equations). Affinity of an affine space, fixed points and directions (eigenvectors). Classification of affinities. Affine transformation of an Euclidean space. Isometries and similarities, classification of isometries of E2. Groups of geometric transformations.

 
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