PřF:M2430 Analytical geometry - Course Information

M2430 Analytical geometry

Faculty of Science
Spring 2002

Extent and Intensity

2/2/0. 6 credit(s). Type of Completion: zk (examination).

Teacher(s)

Guaranteed by

Prerequisites (in Czech)

M1401 Lineární algebra a polynomy

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

Geometrical vectors in E^2 and E^3, vector space of geometrical vectors, standard base, coordinates of vectors, operations with geometrical vectors.

Angle of vectors, expression of the angle of vectors, vector and mixed product

Straight lines and planes: analytical expression, parallelism and orthogonality, angles

Oblique lines: definition, secant line and axis of oblique lines

Distance in E^2 and E^3: distance of points, distance of a point and line or planes, distance of lines and planes

Conic sections and quadrics: equations and metric classifications, description and properties of basic conic sections and quadrics

Literature

HORÁK, Pavel and Josef JANYŠKA. Analytická geometrie. Brno: Masarykova univerzita v Brně, 1997, 151 s. ISBN 80-210-1623-X. info
JANYŠKA, Josef and Anna SEKANINOVÁ. Analytická teorie kuželoseček a kvadrik. Vyd. 1. Brno: Masarykova univerzita, 1996, iii, 178. ISBN 8021014350. info
BUDINSKÝ, Bruno. Analytická a diferenciální geometrie. Vyd. 1. Praha: SNTL - Nakladatelství technické literatury, 1983, 296 s. URL info
ŠMARDA, Bohumil. Analytická geometrie. Vyd. 1. Praha: Státní pedagogické nakladatelství, 1978, 157 s. info

Language of instruction

Czech

Further Comments

The course is taught once in two years.
The course is taught: every week.

The course is also listed under the following terms Spring 2000.