## Lecture 2

### Topics

- Vectors + vector fields
- One forms + one form fields
- Tensors + tensor fields
- Tangent space \( T_P{\cal M} \), cotangent space \( T^*_P{\cal M} \), higher rank tensor spaces \( T^{(k,l)}_P{\cal M} \)
- Diffeomorphisms
- Lie derivatives

### Bibliography

- Lecture slides: vectors
- Lecture slides: one forms + tensors
- Lecture slides: diffeomorphisms and Lie derivatives

### Practicing

### Videos

Related video lectures by the instructor. There is partial overlap with the course curriculum, use at your own discretion! Check the video lectures page for details...