Weeks | Topics |
1 |
inner product spaces,Multilinear algebra
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2 |
rigid motions(rotational, translational)
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3 |
topological manifolds
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4 |
differentiable manifolds
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5 |
product and quotient manifolds
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6 |
tangent vectors and tangent space
|
7 |
lie algebra and lie bracket
|
8 |
middterm exam
|
9 |
differential relative to the direction
|
10 |
cotangent space, covector, 1-forms
|
11 |
Riemannian metric and Riemannian manifolds
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12 |
tensors and tensor algebra
|
13 |
covariant, contravariant and mixed tensors
|
14 |
final exam
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