Geometry

Code	Completion	Credits	Range	Language
11GIE	KZ	3	2P+2C+12B	Czech

Garant předmětu:

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 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:

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)
AUT bak. prez.12/13 (compulsory course)
DOS bak.prez.12/13 (compulsory course)
MED bak.prez.12/13 (compulsory course)
ITS bak.prez.12/13 (compulsory course)
LED bak.prez.12/13 (compulsory course)
PIL bak.prez.13/14 (compulsory course)
TUL bak.prez.13/14 (compulsory course in the program)
bak.prez.13/14 (compulsory course)
MED bak.komb.13/14 (compulsory course)
AUT bak.prez.13/14 (compulsory course)
DOS bak.prez.13/14 (compulsory course)
ITS bak.prez.13/14 (compulsory course)
LED bak.prez.13/14 (compulsory course)
MED bak.prez.13/14 (compulsory course)
DOS bak.prez.13/14 (SKOK) (compulsory course)
LED bak.prez.13/14 (SKOK) (compulsory course)
MED bak.prez.13/14 (SKOK) (compulsory course)
bak.prez.14/15 (compulsory course)
PIL bak.prez.14/15 (compulsory course)
TUL bak.prez.14/15 (compulsory course in the program)
DOS bak.prez.14/15 (compulsory course)
MED bak.prez.14/15 (compulsory course)
AUT bak.prez.14/15 (compulsory course)
ITS bak.prez.14/15 (compulsory course)
LED bak.prez.14/15 (compulsory course)
bak.prez.od 15/16 (compulsory course)
PIL bak.prez.15/16 (compulsory course)
TUL bak.prez.15/16 (compulsory course in the program)
DOS bak.prez.15/16 (compulsory course)
MED bak.prez.15/16 (compulsory course)
AUT bak.prez.15/16 (compulsory course)
ITS bak.prez.15/16 (compulsory course)
LED bak.prez.15/16 (compulsory course)
BEZ bak.prez.15/16 (compulsory course)
bak.prez.od 16/17 - v 1.sem. si NEZAPSALI 14DB (compulsory course)
PIL bak.prez.16/17 (compulsory course)
TUL bak.prez.16/17 (compulsory course in the program)
DOS bak.prez.16/17 (compulsory course)
LOG bak.prez.16/17 (compulsory course)
ITS bak.prez.16/17 (compulsory course)
LED bak.prez.16/17 (compulsory course)
BEZ bak.prez.16/17 (compulsory course)
bak.prez.od 17/18 (compulsory course)
bak.prez.od 16/17 - v 1.sem. si ZAPSALI 14DB (compulsory course)
PIL bak.prez.17/18 (compulsory course)
TUL bak.prez.17/18 (v 2017-18 si NEzapsali 11PEM) (compulsory course in the program)
DOS bak.prez.17/18 - v 1.sem. si NEZAPSALI 14DB (compulsory course)
DOS bak.prez.17/18 - v 1.sem. si ZAPSALI 14DB (compulsory course)
LOG bak.prez.17/18 - v 1.sem. si NEZAPSALI 14DB (compulsory course)
LOG bak.prez.17/18 - v 1.sem. si ZAPSALI 14DB (compulsory course)
ITS bak.prez.17/18 - v 1.sem. si NEZAPSALI 14DB (compulsory course)
ITS bak.prez.17/18 - v 1.sem. si ZAPSALI 14DB (compulsory course)
LED bak.prez.17/18 - v 1.sem. si NEZAPSALI 14DB (compulsory course)
LED bak.prez.17/18 - v 1.sem. si ZAPSALI 14DB (compulsory course)
BEZ bak.prez.17/18 - v 1.sem. si NEZAPSALI 14DB (compulsory course)
BEZ bak.prez.17/18 - v 1.sem. si ZAPSALI 14DB (compulsory course)
LOG bak.prez.17/18 - včetně 11FYZ v 3.s. (compulsory course)
LED bak.prez.17/18 - včetně 11FYZ v 3.s. (compulsory course)
bak.prez.od 18/19 (compulsory course)
PIL bak.prez.18/19 (compulsory course)
TUL bak.prez.18/19 (compulsory course in the program)
DOS bak.prez.18/19 (compulsory course)
LOG bak.prez.18/19 (compulsory course)
ITS bak.prez.18/19 (compulsory course)
LED bak.prez.18/19 (compulsory course)
TUL bak.prez.17/18 (v 2017-18 si ZAPSALI 11PEM) (compulsory course in the program)
DOS bak.prez.18/19 (skok do 3.r.) (compulsory course)
CŽV pro LED bak.prez. v 18/19 (compulsory course)
LOG bak.prez.18/19 (skok do 3.r.) (compulsory course)
ITS bak.prez.18/19 (skok do 3.r.) (compulsory course)
LED bak.prez.18/19 - skok z 2.r.do 3.r. (compulsory course)
PIL bak.prez.19/20 (compulsory course)
bak.prez.od 19/20 (compulsory course)
TUL bak.prez.19/20 (compulsory course in the program)
LED bak.prez.19/20 angličtina (compulsory course)
TUL bak.prez.17/18 (v 2017-18 si NEzapsali 11PEM) - namísto něj 21ZYL1 (compulsory course in the program)
DOS bak.prez.19/20 (compulsory course)
LOG bak.prez.19/20 (compulsory course)
ITS bak.prez.19/20 (compulsory course)
LED bak.prez.19/20 (compulsory course)
ITS bak.prez.19/20 (skok do 3.r.) (compulsory course)
DOS bak.prez.19/20 (skok do 3.r.) (compulsory course)
LED bak.prez.19/20 (skok do 3.r.) (compulsory course)
TUL bak.prez.19/20 (skok do 3.r.) (compulsory course in the program)
PIL bak.prez.20/21 (compulsory course)
TUL bak.prez.20/21 (compulsory course in the program)
bak.prez.od 20/21 (pro B3710) (compulsory course)
LED bak.prez.20/21 angličtina (compulsory course)
DOS bak.prez.20/21 (compulsory course)
LOG bak.prez.20/21 (compulsory course)
LOG bak.prez.20/21 (skok do 3.r.) (compulsory course)
ITS bak.prez.20/21 (compulsory course)
ITS bak.prez.20/21 (skok do 3.r.) (compulsory course)
LED bak.prez.20/21 (compulsory course)
LED bak.prez.20/21 (skok do 3.r.) (compulsory course)
PIL bak.prez.20/21 (skok do 3.r.) (compulsory course)
bak.prez.od 21/22 (pro B3710) (compulsory course)
TUL bak.prez.21/22 (compulsory course in the program)
PIL bak.prez.20/21 (skok ze 2. do 3.ročníku) (compulsory course)
bak.prez.od 21/22 (skok do 2.r.) - pro B3710 (compulsory course)
LED bak.prez.21/22 (skok do 3.r.) (compulsory course)
DOS bak.prez.21/22 (skok do 3.r.) (compulsory course)
LOG (obor) bak.prez.21/22 (skok do 3.r.) (compulsory course)
ITS bak.prez.21/22 (skok do 3.r.) (compulsory course)
PIL bak.prez.21/22 (obor - skok do 3.r.) (compulsory course)
TUL bak.prez.21/22 (skok do 3.r.) (compulsory course in the program)
DOS bak.prez.21/22 (compulsory course)
ITS bak.prez.21/22 (compulsory course)
LED bak.prez.21/22 (compulsory course)
bak.prez.od 22/23 (pro TET) (compulsory course)
bak.prez.od 21/22 (pro TET) (compulsory course)
TUL bak.prez.22/23 (program TUL) (compulsory course in the program)
bak.prez.od 23/24 (pro TET) (compulsory course)
TUL bak.prez.23/24 (program TUL) (compulsory course in the program)