2. Linear algebra over the complex numbers
3. Complex scalar product spaces (a.k.a. Hilbert spaces)
4. Lie groups and Lie group representations
5. New representations from old
6. Irreducible representations and invariant integration
7. Representations and the hydrogen atom
8. algebra so(4) symmetry of the hydrogen atom
9. group SO(4) symmetry of the hydrogen atom
10. Projective representations and spin
11. Independent events and tensor products.