1 Curves

2 Plane and space curves

3 Surfaces

4 Tangent planes

5 The first fundamental form

6 More on the first fundamental form

7 Area

8 Smooth maps, the Gauss map, orientability

9 The derivative of a map

10 Conformal maps

11 Weingarten map and second fundamental form

12 Curvature

13 Normal curvature

14 More on the curvature

15 Theorema egregium

16 Theorema egregium II

17 Geodesics

18 Geodesics II

19 Gauss–Bonnet I

20 Gauss-Bonnet II

21 More on geodesics

22 Minimal surfaces

23 CMC surfaces

24 Frame fields

25 Differential forms on surfaces

26 Frame fields on surfaces