<p>Haha. Calc BC, I’ve learned over the past months, is a piece of crap </p>
<p>I’m in Sally’s class right now, and I can attest to the fact that it is some of the hardest crap I have encountered. The material isn’t that hard to understand, but the tests AND the homework are a real pain to do. The midterms are difficult because he gives you about half the time you actually need to score decently. The homework is hard because there is so much of it AND it’s really deep sometimes like when he asked us to prove that the Algebraic numbers form a closed field over the reals without any real context. Yeh, he expects about 30 hours a week, and you’ll pretty much have to devote yourself. I wasn’t too unfamiliar with this stuff coming into his class - I learned a little bit of algebra by myself took DiffEQ my jun. year in high school, but nothing I’ve learned REALLY compares to this. I did ARML and USAMO and all that - that doesn’t really mean much in his class. So - is it hard? Yes. </p>
<p>Problem set question - uh…let’s see, an easy one would be: find where the function f from Reals to reals f(x) = 1/q for rational p/q, 0 for irrationals is continuous, and find where it’s differentiable.</p>