We will go through chapters 1-5 in the notes below:
- 1. Hilbert's axiom system for plane geometry
- 2. An introduction to hyperbolic geometry
- 3. Classification of compact,closed surfaces
- 4. Geometry on surfaces - basic concepts
- 5. Differential geometry on surfaces
Here are some notes related to differentiability and derivatives on manifolds. (Only in Norwegian.)
The final curriculum consists of the material above, except:
* Section §2.9: "Triangles and trigonometric functions in the hyperboloc plane" (page 38 - 43).
* Proposition 2.2 on orientability in §5.2 (page 6-7).