1 | Realizes the inner product space, learns ortogonal group. |
2 | Realizes the O (n) and Self- Adjoint transform, learns multi-linear algebra. |
3 | Knows motions, parametric curve, differantiable transform. |
4 | Knows tangent vector and space, cotangent space, covector, 1-form and duality. |
5 | Realizes coordinate transform in Tm(P),directional derivative, algebra of multi-linear functions,tensor algebra of vector space. |
6 | Knows symmetric tensor and alternating, exterior product space, tensor product of linear transforms and endomorphisms. |