ukraine ifo

Geometry

Course Code:
11GIE-E
Academic Degree:
bachelor
Study Programme:
Professional Pilot (B1041A040004)
semesterlanguage
1english flag
Erasmus:
course for Erasmus and Exchange students in winter semester
Form of Study:
full-time
Credits:
3
Number of Hours:
2 + 2 hours per week - in full-time study
Type of Course:
obligatory
Course Completion:
classified credit
Supervisor:
Mgr. Šárka VORÁČOVÁ, Ph.D.
Course Tutor:
 
roh  Lectures:
Mgr. Šárka Voráčová, Ph.D.
roh  Training Course:
Mgr. Šárka Voráčová, Ph.D.
Supervising Department:
Department of Applied Mathematics (16111)
Keywords:
Conic section, linear mapping, parametric curves, invariants of curves, quadric surfaces.
Abstract:
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.
Objectives:
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.