## IntroductionThe course MA1127 is a discovery-based, interactive course on projective geometry. Among its aims are: to exercise the student in the visualization of mathematical concepts, to present a unified view of basic geometry as the study of group actions, to develop and exercise problem-solving techniques, and to give the student a sense of the unity of mathematics by relating projective geometry to other fields such as special relativity, integral geometry, topology, and hyperbolic geometry. At each meeting, the instructor will propose definitions which will be motivated and discussed, and he will proceed to develop the theory through problems, which the students are expected to solve by passing to the board. Although this may seem hard for the students, last year's experience shows that it is not only possible, it is fun! Of course, the intellectual freedom that such a course provides the students comes at a price: it is harder to take notes than in a regular course and students which are poorly motivated or prepared risk lagging behind in a very visible way (In a regular course, these students usually lag behind without the instructor or themselves noticing it). Nothing can replace personal responsablity or a good preparation, nevertheless there will be plenty of office hours and these notes, together with Berger's book, contain all that will be covered in the course.
The evaluation, following the rules of our university, will take the form
of a single exam. This exam will contain five or six problems and will last
about three hours. The problems |