MU:MU01917 Geometry - Exercises - Course Information
MU01917 Geometry - Exercises
Mathematical Institute in OpavaWinter 2019
- Extent and Intensity
- 0/2/0. 2 credit(s). Type of Completion: z (credit).
- Teacher(s)
- RNDr. Petr Vojčák, Ph.D. (seminar tutor)
- Guaranteed by
- doc. RNDr. Michal Marvan, CSc.
Mathematical Institute in Opava - Timetable of Seminar Groups
- MU01917/01: Thu 8:05–9:40 206, P. Vojčák
- Prerequisites (in Czech)
- TYP_STUDIA(B)
- 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
- Applied Mathematics (programme MU, B1101)
- Mathematics (programme MU, B1101)
- Course objectives
- Exercises to Geometry.
- Syllabus
- Affine and Euclidean spaces and subspaces, affine maps and isometries, affine and Cartesian coordinates.
Distance and inclination of subspaces in Euclidean space, the volume of a parallelepiped.
Applications in planimetry, stereometry, and coding theory.
Curves in Euclidean space, parameterization; Frenet frame, curvatures, Frenet--Serret equations; evolutes and involutes.
Subvartieties in Euclidean space, regular parameterization, tangent space, directional derivative, the first fundamental form, vector field, Lie bracket.
Hypersurfaces in Euclidean space, normal vector, covariant derivative, the second fundamental form, Gauss--Weingarten equations; parallel displacement, geodesics; principal curvatures.
Applications in cartography and physics.
- Affine and Euclidean spaces and subspaces, affine maps and isometries, affine and Cartesian coordinates.
- Literature
- Language of instruction
- Czech
- Further comments (probably available only in Czech)
- Study Materials
The course can also be completed outside the examination period. - Teacher's information
- Written examination.
- Enrolment Statistics (Winter 2019, recent)
- Permalink: https://is.slu.cz/course/sumu/winter2019/MU01917