Week - 1 |
Formal definitions of vectors, scalars and invariants |
Week - 2 |
Orthogonal transformations |
Week - 3 |
Cartesian tensors |
Week - 4 |
Levi-Civita symbol and the cross product |
Week - 5 |
Vector and tensor fields |
Week - 6 |
Integral vector identities |
Week - 7 |
General coordinate transformations |
Week - 8 |
Metric tensor |
Week - 9 |
Metric tensor |
Week - 10 |
Gradient, divergence, curl and laplacian in generalised Coordinates |
Week - 11 |
Differantiation of vectors, Christoffel symbols |
Week - 12 |
Formal Properties of Matrices |
Week - 13 |
Functions of matrices |