M3120 Geometry

Faculty of Science
Autumn 1999
Extent and Intensity
2/2/0. 6 credit(s). Type of Completion: zk (examination).
Teacher(s)
prof. RNDr. Ivan Kolář, DrSc. (lecturer)
Guaranteed by
prof. RNDr. Ivan Kolář, DrSc.
Department of Mathematics and Statistics – Departments – Faculty of Science
Contact Person: prof. RNDr. Ivan Kolář, DrSc.
Prerequisites (in Czech)
M2110 Linear Algebra II && M1100 Mathematical Analysis I
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
  • Extensions of affine spaces. Complexification of vector and affine spaces. Projective spaces. Projective extension of affine spaces.
  • Conic sections and quadrics. Basic properties of hyperquadrics. Projective, affine and metric classifications of conic sections. Projective, affine and metric classifications of quadrics.
  • Differential geometry of curves. Planar curves. Envelopes. The Frenet frame and the Frenet equations of a space curve
  • Foundations of differential geometry of surfaces. The first fundamental form of a surface in E3. Envelopes. The second fundamental form.
Literature
  • JANYŠKA, Josef and Anna SEKANINOVÁ. Analytická teorie kuželoseček a kvadrik. Vyd. 1. Brno: Masarykova univerzita, 1996, iii, 178. ISBN 8021014350. info
  • SEKANINA, Milan. Geometrie. 1. vyd. Praha: Státní pedagogické nakladatelství, 1986, 197 s. URL info
  • SEKANINA, Milan. Geometrie. 1. vyd. Praha: Státní pedagogické nakladatelství, 1988, 307 s. info
  • BUDINSKÝ, Bruno. Analytická a diferenciální geometrie. Vyd. 1. Praha: SNTL - Nakladatelství technické literatury, 1983, 296 s. URL info
Language of instruction
Czech
Further Comments
The course is taught annually.
The course is taught: every week.
The course is also listed under the following terms Autumn 2000, Autumn 2001.
  • Enrolment Statistics (Autumn 1999, recent)
  • Permalink: https://is.muni.cz/course/sci/autumn1999/M3120