After successful completion of the course, students are able to solve problems of planar and spatial geometry
with standard methods. The students know main geometric properties of curves and surfaces, as well as a
large number of particular examples which are relevant for the teacher's training.
The students become very skilled users of CAD-programs concerning constructions and visualization
of geometric objects.

Congruence transformations, affine and projective ttransformations.
Geometric properties of plane and space curves. evolute, involute, offsets, envelopes.
Geometric properties of conics and surfaces of degree two. Special kinematic surfaces.
Intersection curves of surfaces.

Lecture with examples.

Oral exam.