If you are going to give your exam soon, I would suggest reading Kathy Sierra and Bert Bates' book(it focuses more on the exam objectives). Else wise, if you got time you can read Khaled Mughal and Rolf Rasmussen's copy.
To start off, go through the api docs and then read the khalid mughal's book for SCJP6.
Do you mean the sun java tutorials on their site or the api itself?
If it's the api, I thought that will come with time and practice and there would be no use just memorizing the classes, methods, fields etc.
You didn't tell me he was so big. Unlike this tiny ad: