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CZECH TECHNICAL UNIVERSITY IN PRAGUE
STUDY PLANS
2021/2022

Geometry

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Code Completion Credits Range Language
11GIE KZ 3 2P+2C+12B Czech
Lecturer:
Šárka Voráčová, Oldřich Hykš
Tutor:
Šárka Voráčová, Oldřich Hykš, Pavel Provinský
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 2021/2022:
Time-table is not available yet
Time-table for summer semester 2021/2022:
Time-table is not available yet
The course is a part of the following study plans:
Data valid to 2022-08-12
For updated information see http://bilakniha.cvut.cz/en/predmet1453406.html