Geometry
| Code | Completion | Credits | Range | Language |
|---|---|---|---|---|
| 11GIE | KZ | 3 | 2+2 | Czech |
- Lecturer:
- Šárka Voráčová (gar.), Oldřich Hykš
- Tutor:
- Šárka Voráčová (gar.), Oldřich Hykš, Pavel Provinský
- Supervisor:
- Department of Applied Mathematics
- Synopsis:
-
Topographic surfaces, orthogonal projections, perspective projection. Differential geometry of curves: parameterization, arc of the curve, torsion and curvature, Frenet`s trihedron, cartographic projections - azimuthal, cylinder and conic projections. Carthographic distortion - examples of equal area and conformal projections. Parametric surfaces, surfaces of revolution, quadrics, ruled quadrics, etc.
- Requirements:
-
fundamentals of analytic geometry, differential and integral calculus of one real variable, anylitic geometry
- Syllabus of lectures:
- Syllabus of tutorials:
- Study Objective:
-
Basic methods of projection - orthographic and oblique projections. Parametrization of the curve, torsion and curvature. Application of differential geometry in road design. Cartographic projections - azimuthal, cylindrical and conical projections. Matlab softaware Use.
- Study materials:
-
Kargerová M., Mertl P., Geometrie, Praha, Vydavatelství ČVUT, 1996
Kargerová M., Mertl P., Úlohy na cvičení z geometrie, Praha,Vydavatelství ČVUT, 1998
Kargerová M., Deskriptivní geometrie pro technické školy vysoké, vyšší a střední, Montanex, 1997
- Note:
- Time-table for winter semester 2011/2012:
- Time-table is not available yet
- Time-table for summer semester 2011/2012:
- Time-table is not available yet
- The course is a part of the following study plans:
-
- bak.prez.10/11 (compulsory course)
- PIL bak.prez.10/11 (compulsory course)
- TUL bak.prez.10/11 (compulsory course)
- MED bak.komb.10/11 (compulsory course)
- MED bak.komb.11/12 (compulsory course)
- PIL bak.prez.11/12 (compulsory course)
- bak.prez.11/12 (compulsory course)
- TUL bak.prez.11/12 (compulsory course)
- AUT bak.prez.11/12 (compulsory course)
- DOS bak.prez.11/12 (compulsory course)
- ITS bak.prez.11/12 (compulsory course)
- LED bak.prez.11/12 (compulsory course)
- MED bak.prez.11/12 (compulsory course)
- bak.prez.12/13 (compulsory course)
- MED bak.komb.12/13 (compulsory course)
- PIL bak.prez.12/13 (compulsory course)
- TUL bak.prez.12/13 (compulsory course)