>>13005001Assuming this isn't a LARP....
Look at the syllabi for 55a and 55b:
http://people.math.harvard.edu/~ctm/home/text/class/harvard/55a/08/html/syl.htmlhttp://people.math.harvard.edu/~ctm/home/text/class/harvard/55b/10/html/index.htmlWhat you need to do is read the following over the summer, in order of importance:
Linear Algebra: Linear Algebra and Its Applications by Lay, Lay, and McDonald [if you have time: Linear Algebra Done Right by Axler]
Proofs: How to Prove It by Velleman [try to bang this out, should be mostly trivial for you but you need the fundamentals]
Analysis: Abbott, Understanding Analysis
Complex Variables: Saff/Snider Fundamentals of Complex Analysis [Chapters 1-6]
Abstract Algebra: An entry-level book like Pinter's A Book of Abstract Algebra, or, if you have time [and this is better], Abstract Algebra by Dummit and Foote [read the introduction, where he talks about the relevant chapters for a typical undergrad course, and read those]
This is all assuming you have NO prior background in any of this stuff. If that's the case and you want to succeed in this class, then realistically you will need to study a good chunk of this over the summer -- unless you are a total brain. Also, I'm willing to bet that a lot of students coming into this as freshman have read this stuff and have taken Lin Alg in high school. If you haven't, prepare to have your world rocked, but studying what I listed will make this easier for you, should you choose to stay in the class. Pedagogically, the whole idea of doing 4 core classes in an undergrad math curriculum in the span of two seems dubious to me, so if you end up transferring out of Math 55, it's not exactly a loss. On the other hand, it could turn out to be a great experience for you. God, I hope he sees this. Good luck
