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Geometry III - NMUM503

Title:	Geometrie III
Guaranteed by:	Department of Mathematics Education (32-KDM)
Faculty:	Faculty of Mathematics and Physics
Actual:	from 2023
Semester:	winter
E-Credits:	2
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:	cancelled
Language:	Czech
Teaching methods:	full-time

Guarantor:	Mgr. Dalibor Šmíd, Ph.D. RNDr. Jana Hromadová, Ph.D.
Incompatibility :	NMTM505
Interchangeability :	NMTM505
Is incompatible with:	NMTM505, NUMP017
Is interchangeable with:	NMTM505, NUMP017

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Annotation -

Extended affine space, homogeneous coordinates. Conics and quadrics. Introduction to axiomatic geometry. Neeuclidean geometry.

Last update: Staněk Jakub, RNDr., Ph.D. (14.06.2019)

Course completion requirements - Czech

Ústní zkoušení s písemnou přípravou.

Last update: Šmíd Dalibor, Mgr., Ph.D. (13.10.2017)

Literature -

Brannan D., Esplen M., Gray J.: Geometry. 2nd ed. CUP, The Open University, 2012.

Sekanina M. a kol.: Geometrie II. SPN, Praha, 1988.

Last update: Hromadová Jana, RNDr., Ph.D. (13.06.2019)

Teaching methods - Czech

Přednáška.

Last update: Šmíd Dalibor, Mgr., Ph.D. (13.10.2017)

Syllabus -

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

2. Projective extension of Euclidean plane and space – definitions and basic properties, derived coordinate systems, affine and euclidean properties of conics and quadrics. Basic types of quadrics and their properties, classification.

3. Axiomatics of geometry, non-Euclidean geometry models.

Last update: Hromadová Jana, RNDr., Ph.D. (13.06.2019)