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.