M5721 Differential Geometry of curves

Faculty of Science
Autumn 2004
Extent and Intensity
2/2. 4 credit(s) (plus 2 credits for an exam). Recommended Type of Completion: zk (examination). Other types of completion: z (credit).
Teacher(s)
prof. RNDr. Ivan Kolář, DrSc. (lecturer)
RNDr. Lenka Viskotová, Ph.D. (seminar tutor)
Guaranteed by
doc. RNDr. Eduard Fuchs, CSc.
Department of Mathematics and Statistics – Departments – Faculty of Science
Contact Person: prof. RNDr. Ivan Kolář, DrSc.
Timetable
Tue 9:00–10:50 N41
  • Timetable of Seminar Groups:
M5721/01: Tue 18:00–19:50 N21, L. Viskotová
Prerequisites
M4502 Mathematical Analysis 3
The basic knowledge of the differential and integral calculus and the analytic geometry.
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
A rounded survey on the main methods and results of the differential geometry of curves in the euclidean plane and three-space is presented.
Syllabus
  • Planar curves: parametric expression, contact of curves, curvature, arc, envelop of a system of curves. Spatial curves: curves and surfaces in three-space, contact of curves with surfaces, the Frenet frame, curvature and torsion of spatial curves.
Literature
  • Vanžurová,A. Diferenciální geometrie křivek a ploch. Skriptum PU Olomouc, 1996.
  • Doupovec,M. Diferenciální geometrie a tensorový počet. Skriptum FSt VUT Brno,1999.
  • Kolář,I. Diferenciální geometrie křivek a ploch. Skriptum v přípravě.
Language of instruction
Czech
Follow-Up Courses
Further Comments
The course can also be completed outside the examination period.
The course is taught once in two years.
The course is also listed under the following terms Autumn 2000, Autumn 2002.
  • Enrolment Statistics (recent)
  • Permalink: https://is.muni.cz/course/sci/autumn2004/M5721