Geometry

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 2025/2026:

	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	roomKO:309 Voráčová Š. 08:00–09:30 (lecture parallel3) Konviktská 20 roomKO:104 Voráčová Š. 09:45–11:15 (parallel nr.141) Konviktská 20 roomFL:210 Voráčová Š. 15:00–16:30 (lecture parallel2) Na Florenci 25 roomHO:A-270 Hykš O. 09:45–11:15 (parallel nr.134) Horská 3 (stará budova)
Tue	roomHO:B-101 Provinský P. 11:30–13:00 (parallel nr.139) Horská 3 (nová budova) roomHO:B-109 Provinský P. 15:00–16:30 (parallel nr.137) Horská 3 (nová budova) roomKO:309 Voráčová Š. 18:30–20:00 (lecture parallel1) Konviktská 20 roomHO:B-102 Provinský P. 13:15–14:45 (parallel nr.138) Horská 3 (nová budova) roomHO:B-116 Voráčová Š. 15:00–16:30 (parallel nr.140) Horská 3 (nová budova)
Wed	roomHO:B-109 Voráčová Š. 09:45–11:15 (parallel nr.196) Horská 3 (nová budova) roomHO:B-101 Voráčová Š. 11:30–13:00 (parallel nr.193) Horská 3 (nová budova) roomHO:B-101 Voráčová Š. 13:15–14:45 (parallel nr.197) Horská 3 (nová budova)
Thu	roomHO:B-116 Provinský P. 08:00–09:30 (parallel nr.199) Horská 3 (nová budova) roomHO:B-102 Hykš O. 15:00–16:30 (parallel nr.135) Horská 3 (nová budova) roomHO:A-270 Hykš O. 18:30–20:00 (parallel nr.132) Horská 3 (stará budova) roomFL:210 Voráčová Š. 09:45–11:15 (lecture parallel4) Na Florenci 25 roomKO:104 Hykš O. 11:30–13:00 (parallel nr.131) Konviktská 20 roomKO:104 Hykš O. 13:15–14:45 (parallel nr.130) Konviktská 20 roomHO:A-270 Hykš O. 16:45–18:15 (parallel nr.133) Horská 3 (stará budova) roomHO:B-106 Provinský P. 13:15–14:45 (parallel nr.198) Horská 3 (nová budova) roomHO:B-109 Provinský P. 16:45–18:15 (parallel nr.136) Horská 3 (nová budova)
Fri	roomHO:A-320 Voráčová Š. 15:00–16:30 (lecture parallel118) Horská 3 (stará budova) roomHO:A-320 Voráčová Š. 16:45–18:15 (lecture parallel118) Horská 3 (stará budova) roomHO:B-109 Voráčová Š. 15:00–16:30 (lecture parallel118) Horská 3 (nová budova) roomHO:B-109 Voráčová Š. 16:45–18:15 (lecture parallel118) Horská 3 (nová budova) roomHO:A-320 Voráčová Š. 15:00–16:30 (lecture parallel119) Horská 3 (stará budova) roomHO:A-320 Voráčová Š. 16:45–18:15 (lecture parallel119) Horská 3 (stará budova) roomHO:B-109 Voráčová Š. 15:00–16:30 (lecture parallel119) Horská 3 (nová budova) roomHO:B-109 Voráčová Š. 16:45–18:15 (lecture parallel119) Horská 3 (nová budova)

Time-table for summer semester 2025/2026:

Time-table is not available yet

The course is a part of the following study plans:

• Bachelor PIL (CS) Full-Time from 2021/22 (compulsory course)
• Bachelor PIL (CS) Full-Time from 2022/23 (compulsory course)
• Bachelor TUL Full-Time from 2022/23 (compulsory course in the program)
• Bachelor TET-DOS Full-Time from 2022/23 (compulsory course)
• Bachelor TET-ITS Full-Time from 2022/23 (compulsory course)
• Bachelor TET-LED Full-Time from 2022/23 (compulsory course)
• Bachelor TUL Full-Time from 2023/24 (compulsory course in the program)
• Bachelor PIL (CS) Full-Time from 2023/24 (compulsory course)
• Bachelor TET-DOS Full-Time from 2023/24 (compulsory course)
• Bachelor TET-LOG Full-Time from 2023/24 (compulsory course)
• Bachelor TET-ITS Full-Time from 2023/24 (compulsory course)
• Bachelor TET-LED Full-Time from 2023/24 (compulsory course)
• Bachelor TET Common Part of Study Full-Time from 2024/25 (compulsory course)
• Bachelor TET-DOS Full-Time from 2024/25 (compulsory course)
• Bachelor TET-ITS Full-Time from 2024/25 (compulsory course)
• Bachelor TET-LED Full-Time from 2024/25 (compulsory course)
• Bachelor TET-LOG Full-Time from 2024/25 (compulsory course)
• Bachelor TET-LOG Part-Time from 2024/25 (compulsory course)
• Bachelor PIL (CS) Full-Time from 2024/25 (compulsory course)
• Bachelor TUL Full-Time from 2024/25 (compulsory course in the program)
• Bachelor TET Common Part of Study Full-Time from 2025/26 (compulsory course)
• Bachelor TET-DOS Full-Time from 2025/26 (compulsory course)
• Bachelor TET-LOG Full-Time from 2025/26 (compulsory course)
• Bachelor TET-ITS Full-Time from 2025/26 (compulsory course)
• Bachelor TET-LED Full-Time from 2025/26 (compulsory course)
• Bachelor PIL (CS) Full-Time from 2024/25 (compulsory course)
• Bachelor TUL Full-Time from 2024/25 (compulsory course in the program)
• Bachelor TET-LED Part-Time from 2025/26 (compulsory course)
• Bachelor TET-LOG Part-Time from 2024/25 (compulsory course)