Brief introduction to the course: The main non-Euclidean geometries of constant curvature, like Projective, Spherical and Hyperbolic geometry are introduced.
The goals of the course: The main goal of the course is to introduce students to the main facts about non-Euclidean geometries.
By the end of the course, students are enabled to do independent study and research in fields touching on the topics of the course, and how to use these methods to solve specific problems. In addition, they develop some special expertise in the topics covered, which they can use efficiently in other mathematical fields, and in applications, as well. They also learn how the topic of the course is interconnected to various other fields in mathematics, and in science, in general.
- regular homework, and presentation or final