This week's book giveaway is in the OCAJP 8 forum. We're giving away four copies of OCA Java SE 8 Programmer I Study Guide and have Edward Finegan & Robert Liguori on-line! See this thread for details.
Java.io - all constructors and the bulk of the methods Java.lang - String, StringBuffer Java.util - All the interfaces and the major classes and bulk methods, ie Hashtable, Vector, etc. Those are off the top of my head.