**Mgr. Šárka Voráčová, Ph. D. **

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.
Matrix representation of linear mapping.
Parametrization of the curve, torsion and curvature. Application of
differential geometry in a road design.