Geometry

Course Code:
11GIE
Academic Degree:
bachelor
Study Programme:
Technology in Transportation and Telecommunications (B 3710)
semesterlanguagestudy field / specialization
1czech, englishcommon part of studies
1czechPIL Professional Pilot - 3708R030
1czechTUL Technology of Aviation Maintenance - 3708R033
Erasmus:
course for Erasmus and Exchange students in winter semester
Form of Study:
full-time and part-time
Credits:
3
Number of Hours:
2 + 2 hours per week - in full-time study
12 hours per semester - in part-time study
Type of Course:
obligatory
Course Completion:
classified credit
Course Tutor:
 
roh  Lectures:
Ing. Vít Malinovský, Ph.D.
Mgr. Šárka Voráčová, Ph.D.
roh  Training Course:
Mgr. Oldřich Hykš
Ing. Vít Malinovský, Ph.D.
Mgr. Pavel Provinský
Mgr. Šárka Voráčová, Ph.D.
roh  Part-time Study:
Ing. Vít Malinovský, Ph.D.
Supervising Department:
Department of Applied Mathematics (16111)
Keywords:
Parallel and central projection, topographic surfaces, parametric curves, invariants of curves, quadric surfaces.
Abstract:
Orthographic and oblique projections, linear perspective. Topographic surfaces and their orthogonal projection. Differential geometry of curves - parameterization, 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.
Objectives:
Basic methods of the descriptive geometry, sketch of a 3D geometric object. Parametrization of the curve, torsion and curvature. Application of differential geometry in a road design.