PřF:M4190 Curves and Surfaces - Course Information

M4190 Differential Geometry of Curves and Surfaces

Faculty of Science
Spring 2004

Extent and Intensity

2/2/0. 4 credit(s) (fasci plus compl plus > 4). Type of Completion: zk (examination).

Teacher(s)

prof. RNDr. Ivan Kolář, DrSc. (lecturer)

Guaranteed by

Timetable of Seminar Groups

M4190/01: No timetable has been entered into IS. I. Kolář, Rozvrhově doporučeno 2;M

Prerequisites

M2110 Linear Algebra II && M1100 Mathematical Analysis I
The basic knowledge of the differential and integral calculus and analytic geometry is expected.

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 of the main ideas and results of the differential geometry of curves and surfaces in the euclidean three-space is presented.

Syllabus

Parametric expressions and equations of curves and surfaces. Contact of two curves and of a curve with a surface. Arc of a curve, Frenet frame, curvature and torsion of spacial curves. Envelops. The first and the second fundamental from of a surface, mean and Gauss curva- tures. Inner geometry of surfaces.

Language of instruction

Czech

Further Comments

The course can also be completed outside the examination period.
The course is taught annually.