CZECH TECHNICAL UNIVERSITY IN PRAGUE
STUDY PLANS
2023/2024
UPOZORNĚNÍ: Jsou dostupné studijní plány pro následující akademický rok.

Geometry

Code Completion Credits Range Language
11GIE-E KZ 3 2P+2C+12B English
Garant předmětu:
Šárka Voráčová
Lecturer:
Šárka Voráčová
Tutor:
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:

M. Hohenwarten, J. Preiner: Introduction to GeoGebra 4.4, 2013

J. Stewart: Essential Calculus, Early transcendentals, 6ed. Chapters:

Review of Conic Section

Review of Analytic Geometry

Summary of Curve Sketching

Parametric Equations

Geometry of space

Vector function (Curves)

F. Hreinsdótir: Investigation 2 by 2 matrices, University of Iceland

Note:
Further information:
https://www.fd.cvut.cz/department/k611/PEDAGOG/K611GM_A.html
Time-table for winter semester 2023/2024:
Time-table is not available yet
Time-table for summer semester 2023/2024:
Time-table is not available yet
The course is a part of the following study plans:
Data valid to 2024-06-16
Aktualizace výše uvedených informací naleznete na adrese https://bilakniha.cvut.cz/en/predmet6834306.html