PřF:M3120 Geometry - Course Information
M3120 Geometry
Faculty of ScienceAutumn 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
- Mathematics - Economics (programme PřF, M-AM)
- Mathematics (programme PřF, B-MA)
- Mathematics (programme PřF, M-MA)
- Mathematics (programme PřF, N-MA)
- 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.
- Enrolment Statistics (Autumn 1999, recent)
- Permalink: https://is.muni.cz/course/sci/autumn1999/M3120