MATA230 Geometry (5 cr)

Hilbert's axioms and neutral geometry, Euclidean plane geometry, hyperbolic geometry, Poincaré model for hyperbolic geometry

After the course student

• knows the basic structure of axiomatic systems and the concept of independence for axioms
• understands the role of models for axiomatic systems
• can prove basic results in neutral and Euclidean/hyperbolic geometry, and can apply these results in the solutions of geometric problems
  
• is aware of the common ground and the differences of Euclidean and hyperbolic geometries
• can use models to illustrate hyperbolic geometry

The course is tentatively planned to be taught in the fall semesters of 2025 and 2027.

TIM-luentomateriaali

Luentomoniste (Kurittu, Hokkanen, Kahanpää: Geometria)