- At the end of the first week we have reviewed
- Vectors
- Four vectors
- Tensors
- Rotations
- Introduced the idea of a GROUP as a collection of objects such as rotations.

i. Members of a group can be combined (successive rotations)

ii. Identity and inverse

iii. Combinations can be represented as a single group member (a sum of rotations can be considered as one single rotation)

- Considered groups of transformations
- Rotations,
- translations (space and time),
- Lorentz and Galilean velocity transformations.
- Recognized that vectors could be defined by their transformation properties.
- Reviewed matrix representations
- Row and column vectors
- 3x3 matrices
- 4x4 matrices
- Formulation of relativity.
- Four vectors
- Lorentz transformation
- Field
tensor F
^{μν}