Ok, I have a few questions here, so hopefully everyone will help me find an answer to these. 1. Firstly, I have just finished my second semester of calculus 2, and am now in the process of teaching myself a semesters worth of multi variable/ intro vector calculus, however, I noticed that we skipped over integration of parametric equations: Is this going to be of great importance to me as a pure maths major? I have taught myself the formulas, and could derive them, but I haven't been over any applications. 2. I have hardly had any introduction to set theory, but from what I have seen on wikipedia (very little) I am really in love with the subject. Does anyone know of any very basic books on set theory which I could use to teach myself? 3. Are there any recommended books on first order logic? I honestly have had no experience except for learning all the symbols I come across in readings. my summer looks pretty bleak so far, and I really want to learn as much math as possible, so there is a lot of time for this. One more thing, the school I will be attending has both a BA math and A BS maths. Anyone know about the difference? I am unsure about which to choose. I came into math for its beauty, like art, but at the same time I like eveything to be as rigorous as possible. Oh yea, I have a limited budget (meaning nothing over $100) , sorry about this restriction. Thank you all for any answers.