|
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 |
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