After successful completion of the course, students are able to describe geometric objects and properties with homogeneous coordinates in the vector space models of the projective plane and projective space. They are capable of proving incidence geometric theorems and know how to apply those to obtain further results.

real projective plane; real projective space; homogeneous coordinates; incidence structure; duality; theorems of Desargues, Pappos, Pascal, Brianchon; projective transformations; perspectivities; projectivities; cross-ratio; quadrics; pol/polar hyperplane; classification of quadrics; pencil of qudrics; conics; reguli; complex extension

Lecture with illustrating examples

oral exam