Geometry
| 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 Thu Fri - Time-table for summer semester 2024/2025:
- Time-table is not available yet
- The course is a part of the following study plans: