Week |
Topic(s) |
1 |
Parametrized Curves |
2 |
Regular Curves, Arc Length |
3 |
The Local Theory of Curves Parametrized by Arc Length |
4 |
Global Properties of Plane Curves |
5 |
Regular Surfaces, Inverse Images of Regular Values |
6 |
Change of Parameters; Differentiable Functions on Surfaces |
7 |
Diffeomorphism |
8 |
The Tangent Plane and the Differential of a Map |
9 |
The First Fundamental Form; Area |
10 |
Orientation of Surfaces |
11 |
The Definition of Gauss Map and It’s Fundamental Properties |
12 |
The Gauss Map and The Second Fundamental form |
13 |
The Gauss map in local coordinates |
14 |
Continuation to the Gauss map in local coordinates |