Subjects

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Geometry III - NUMP017

Title:	Geometrie III
Guaranteed by:	Department of Mathematics Education (32-KDM)
Faculty:	Faculty of Mathematics and Physics
Actual:	from 2014 to 2015
Semester:	winter
E-Credits:	3
Hours per week, examination:	winter s.:2/0, Ex [HT]
Capacity:	unlimited
Min. number of students:	unlimited
4EU+:	no
Virtual mobility / capacity:	no
State of the course:	taught
Language:	Czech
Teaching methods:	full-time
Teaching methods:	full-time

Guarantor:	Mgr. Zdeněk Halas, DiS., Ph.D. Mgr. Dalibor Šmíd, Ph.D.
Classification:	Mathematics > Geometry
Is interchangeable with:	NMUE018

Opinion survey results Examination dates Schedule Noticeboard

Annotation -

Last update: G_M (09.10.2001)

Projective extension of the affine space, homogeneous coordinates. Conics and quadrics. Foundations of the axiomatic treatment of geometry. Non-Euclidean geometries.

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: Mgr. Zdeněk Halas, DiS., Ph.D. (10.09.2016)

Only in Czech:

Sekanina a kol., Geometrie II

Čech,E.: Základy analytické geometrie I,II

Vopěnka, P.: Analytická geometrie druhé generace

Teaching methods -

Last update: T_KDM (20.05.2008)

Lectures.

Syllabus -

Last update: T_KDM (28.05.2003)

1. Projective space. Definition and basic properties, homogeneous coordinates, quadrics and their polar properties.

2. Projective extension of Euclidean plane and Euclidean space. Definition and basic properties, corresponding system of coordinates, affine and Euclidean properties of conics and quadrics. Basic types of quadrics and their properties, classificiation.

3. Axiomatic systems of geometry, models of non-Euclidean geometries.