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CZECH TECHNICAL UNIVERSITY IN PRAGUE
STUDY PLANS
2024/2025
Faculties | School elective courses | ECTS courses catalogue | Settings | Česká verze
Welcome page > Faculty of Transportation Sciences > Department of Applied Mathematics > Geometry

Geometry

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Code Completion Credits Range Language
11GIE KZ 3 2P+2C+12B Czech
Course guarantor:
Oldřich Hykš, Pavel Provinský, Šárka Voráčová
Lecturer:
Oldřich Hykš, Pavel Provinský, Šárka Voráčová
Tutor:
Oldřich Hykš, Pavel Provinský, Šárka Voráčová
Supervisor:
Department of Applied Mathematics
Synopsis:

Differential geometry of curves - parameterization, the arc of the curve, torsion and curvature, Frenet`s trihedron. Kinematics - a curve as a trajectory of the motion, the velocity, and acceleration of a particle moving on a curved path.

Requirements:

Plane and space geometry, analytic geometry

Syllabus of lectures:

Line, plane and conic sections

Linear algebra

Linear 2D transformations

Curve as a graph of a function

Differential geometry of curves

Differential geometry of surfaces

Syllabus of tutorials:

Line, plane and conic sections

Linear algebra

Linear 2D transformations

Curve as a graph of a function

Differential geometry of curves

Geometry of surfaces

Study Objective:

Basic methods of the descriptive geometry, sketch of a 3D geometric object. Matrix representation of linear mapping. Parametrization of the curve, torsion and curvature. Application of differential geometry in a road design.

Study materials:
Note:
Further information:
https://www.fd.cvut.cz/department/k611/PEDAGOG/K611GM_A.html
Time-table for winter semester 2024/2025:
06:00–08:0008:00–10:0010:00–12:0012:00–14:0014:00–16:0016:00–18:0018:00–20:0020:00–22:0022:00–24:00
Mon
roomHO:B-116
Provinský P.
08:00–09:30
(parallel nr.138)
Horská 3 (nová budova)
Tue
roomHO:B-116
Provinský P.
09:45–11:15
(parallel nr.134)
Horská 3 (nová budova) roomHO:B-116
Hykš O.
11:30–13:00
(parallel nr.131)
Horská 3 (nová budova)
roomHO:B-109
Provinský P.
11:30–13:00
(parallel nr.139)
Horská 3 (nová budova)
Wed
roomHO:B-109
Voráčová Š.
08:00–09:30
(parallel nr.198)
Horská 3 (nová budova) roomHO:B-109
Hykš O.
13:15–14:45
(parallel nr.130)
Horská 3 (nová budova) roomHO:B-106
Hykš O.
15:00–16:30
(parallel nr.133)
Horská 3 (nová budova) roomHO:B-116
Voráčová Š.
16:45–18:15
(parallel nr.136)
Horská 3 (nová budova)
roomHO:B-116
Provinský P.
08:00–09:30
(parallel nr.199)
Horská 3 (nová budova) roomHO:B-102
Hykš O.
11:30–13:00
(parallel nr.132)
Horská 3 (nová budova) roomHO:B-116
Provinský P.
13:15–14:45
(parallel nr.137)
Horská 3 (nová budova) roomHO:B-116
Voráčová Š.
15:00–16:30
(parallel nr.197)
Horská 3 (nová budova)
roomHO:B-116
Provinský P.
11:30–13:00
(parallel nr.135)
Horská 3 (nová budova)
roomHO:B-109
Voráčová Š.
11:30–13:00
(parallel nr.196)
Horská 3 (nová budova)
Thu
roomFL:210
Voráčová Š.
09:45–11:15
(lecture parallel1)
Na Florenci 25 roomFL:210
Voráčová Š.
11:30–13:00
(lecture parallel2)
Na Florenci 25 roomFL:210
Voráčová Š.
13:15–14:45
(lecture parallel3)
Na Florenci 25
Fri
roomHO:A-343
Hykš O.
13:15–14:45
(parallel nr.119)
Horská 3 (stará budova) roomHO:A-343
Hykš O.
15:00–16:30
(parallel nr.119)
Horská 3 (stará budova) roomHO:A-343
Hykš O.
16:45–18:15
(parallel nr.119)
Horská 3 (stará budova)
roomHO:A-343
Hykš O.
13:15–14:45
(parallel nr.119)
Horská 3 (stará budova) roomHO:A-343
Hykš O.
15:00–16:30
(parallel nr.119)
Horská 3 (stará budova)
roomHO:A-343
Hykš O.
15:00–16:30
(parallel nr.119)
Horská 3 (stará budova)
Time-table for summer semester 2024/2025:
Time-table is not available yet
The course is a part of the following study plans:
Data valid to 2025-06-16
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