I'm an undergraduate getting ready to take a graduate course in general relativity next quarter. I purchased Wald's General Relativity (who incidentally will be teaching the class) in order to get a head start on some of the material. However, he sprints through all of the differential geometry at break neck pace, and is extremely concise. So, I got Lee's Introduction to Smooth Manifolds, which covers what Wald covers in 50 pages in about 300.
I was just wondering if anyone could offer some suggestions on how to study the material. I'm trying to proceed systematically through Lee, but don't think I'll have time to read each page in depth. However, sometimes I find that if I jump ahead, I will have missed some important notation or concept. Any alternative book or maybe just a list of topics to focus on would be extremely helpful. Thanks all.