When I was learning about spectral sequences, one of the most helpful sources I found was Ravi Vakil's notes [here](http://math.stanford.edu/~vakil/0708-216/216ss.pdf). These notes are very down-to-earth and give a kind of minimum knowledge needed about spectral sequences in order to use them.


Does anyone know of a similar source for derived categories? Something that concentrates on showing how these things are used, without developing the entire theory, or necessarily even giving complete, rigorous definitions?



A down-to-earth introduction to the uses of derived categories
I would suggest "Fourier-Mukai transforms in algebraic geometry" by Daniel Huybrechts.


