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CZECH TECHNICAL UNIVERSITY IN PRAGUE
STUDY PLANS
2024/2025

Geometry

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Code Completion Credits Range Language
11GIE-E KZ 3 2P+2C+12B English
Course guarantor:
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 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
Tue
Wed
roomHO:B-406
Voráčová Š.
13:15–14:45
(lecture parallel184)
Horská 3 (nová budova)
Thu
roomHO:B-102
Voráčová Š.
15:00–16:30
(parallel nr.184)
Horská 3 (nová budova)
Fri
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 2024-12-02
For updated information see http://bilakniha.cvut.cz/en/predmet6834306.html