Lecture no.	Date	Topic	Chapter in Spivak
1	18/1	topological manifolds	I.1
2	21/1	differentiable manifolds	I.2
3	25/1	differentiable manifolds, cont., differentiable mappings,	I.2
4	28/1	tangent bundle	I.3
5	1/2	tensors	I.4
6	4/2	tensors cont. differential forms	I.4 I.7
7	8/2	differential forms, cont.	I.7
8	11/2	Poincare lemma	I.7
9	15/2	Stokes theorem	I.8
10	18/2	Mapping degree theorem	I.8
11	22/2	Riemannian manifolds	I.9
11	25/2		II.1 II.2
12	25/1	Gauss Theorema Egregium  Covariant derivative, Riemann curvature	II.3  Notes
13	1/3	Curves in the plane and space ,  classical surface theory	II.3
14	4/1	Conclusion and outlook, reserve	Notes