Week - 1 |
Euclidian space, Tangent vectors |
Week - 2 |
Vector fields, Directional derivative |
Week - 3 |
Directional derivative, Curves |
Week - 4 |
1-forms |
Week - 5 |
Curves, 1-forms |
Week - 6 |
1-forms |
Week - 7 |
properties of maps |
Week - 8 |
curves again |
Week - 9 |
Frenet-Serret Formulas |
Week - 10 |
derivation and examples of derivations |
Week - 11 |
Arbitrarly parametrised curves |
Week - 12 |
Covariant derivative |
Week - 13 |
Frame fields |
Week - 14 |
Cartan Structure equations on 3-dimension |