M2430 Analytical geometry

Faculty of Science
Spring 2000
Extent and Intensity
2/2/0. 6 credit(s). Type of Completion: zk (examination).
Teacher(s)
Mgr. Jiří Zelinka, Dr. (lecturer)
doc. RNDr. Marek Sedlačík, Ph.D. (seminar tutor)
Guaranteed by
Mgr. Jiří Zelinka, Dr.
Department of Mathematics and Statistics – Departments – Faculty of Science
Contact Person: Mgr. Jiří Zelinka, Dr.
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
Syllabus
  • 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 2002.
  • Enrolment Statistics (Spring 2000, recent)
  • Permalink: https://is.muni.cz/course/sci/spring2000/M2430