These notes originate from my half of our second-year quantum physics module. I no longer teach this module, so local students may wish to consult John Gough's and Edwin Flikkema's notes in the first instance. However, I like to think these pages may be helpful in perhaps giving another angle on the same material, so I've decided to leave them online.
The book Introduction to Quantum Physics by AP French and EF Taylor is a bit more than it claims to be; it will get you through all of this lecture and a good bit further. Spin is covered in an excellent way in the introductory chapter of JJ Sakurai's Modern Quantum Mechanics.