I am Currently studying for my preliminary exams (Advanced Calculus and Linear Algebra), and I can solve about half of the previous years exam questions. However, I do not have anyone to vet my proofs at the moment. My question is it appropriate to ask a large number of questions on here?
Well, to start with the facts, users are limited to asking 50 questions in a month or 6 questions in a day. Aside from that, provided that your questions are of good quality (and remain well received by the community), it's acceptable to post as many as you wish.
From your comment about vetting proofs, it might be worth having a look at this meta thread discussing how to ask proof-verification questions well. The more specific you can be the better - a question which asks, "Is this step legal?" is more likely to give you a helpful answer than simply "Look at this proof."