M3120 Geometry

Faculty of Science
Autumn 2001
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
Course objectives
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 can also be completed outside the examination period.
The course is taught annually.
The course is taught: every week.
The course is also listed under the following terms Autumn 1999, Autumn 2000.
  • Enrolment Statistics (recent)
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