PřF:M6722 Diff. Geom. of Surfaces - Course Information
M6722 Differential Geometry of Surfaces
Faculty of ScienceSpring 2003
- Extent and Intensity
- 2/1/0. 3 credit(s) (fasci plus compl plus > 4). Recommended Type of Completion: zk (examination). Other types of completion: z (credit).
- Teacher(s)
- prof. RNDr. Ivan Kolář, DrSc. (lecturer)
- Guaranteed by
- doc. RNDr. Eduard Fuchs, CSc.
Department of Mathematics and Statistics – Departments – Faculty of Science
Contact Person: prof. RNDr. Ivan Kolář, DrSc. - Prerequisites
- M5721 Diff. Geom. of curves
The course "Differential Geometry of Curves" should be absolved. - 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
- Upper Secondary School Teacher Training in Descriptive Geometry (programme PřF, M-SS)
- Course objectives
- A rounded survey on the main methods and results of the differential geometry of surfaces in the euclidean three-space is presented.
- Syllabus
- Surfaces: the first fundamental form, envelops, the second fundamental form, principal curves, ruled surfaces. Inner geometry of surfaces: isometries, parallel transport of vectors on a surface, geodesics, surfaces with constant Gauss curvature.
- Literature
- Doupovec,M. Diferenciální geometrie a tensorový počet. Skriptum FSt VUT Brno,1999.
- Vanžurová,A. Diferenciální geometrie křivek a ploch. Skriptum PU Olomouc, 1996.
- Kolář,I. Diferenciální geometrie křivek a ploch. Skriptum v přípravě.
- Language of instruction
- Czech
- Further Comments
- The course is taught once in two years.
The course is taught: every week.
- Enrolment Statistics (Spring 2003, recent)
- Permalink: https://is.muni.cz/course/sci/spring2003/M6722