1. Conic sections, focal properties of conic sections, point construction of a conic section, osculating circles, construction of a tangent line from a given point, diameters and center of a conic section, conjugates diameters, pin-and-strip construction of an ellipse, Rytz construction.
2. Central, parallel projection and their properties (point, line, plane, parallel lines, perpendicular lines), collination between planes, central collination, axial affinity, circle in central collination.
3. Axonometry, Pohlke's theorem. Perpendicular axonometry: a line and a point in a plane, lines of a plane. elementary examples.
4. Perpendicular axonometry: metric problems in projection planes, elementary surfaces and solids.
5. Perpendicular axonometry: solids and their slices, intersections with a straight line.
6. Euclidean plane and space. Projective plane and space: eigenpoints (axioms, incidence, Euclid's postulate, projective axiom, geometric model of the projective plane and projective space, homogeneous coordinates of proper and improper points, sum and difference of the points).
7. Representation in Euclidean and projective space. Kinematics, cyclic curves, derivation of parametric equations of kinematic curves in the projective plane, derivation of the parametric equation of a helix in projective space.
8. Analytical surfaces, types of surfaces according to the forming principle and forming curves, isocurves, tangent plane, normal. Cylindrical and screw surfaces, surfaces of revolution.
9. Raster graphics, vector graphics, perception of electromagnetic radiation, color spaces.
10. Algorithms for visualization of curves and visualization of surfaces using u and v curves, triangulation.
11. Algorithms for solving visibility, basic shading and rendering algorithms.
12. 3D visualization, modeling of stereoscopic observation.
13. 3D modeling in the Rhinoceros system.