*** AP Calculus BC Thread 2016-2017 ***

I’ve never used Khan Academy, but my friends have mentioned that it has helped them in other courses. Your schedule looks fine, although you can definitely pull off a 5 or even a near-perfect score with less preparation. I usually worked on multiple choice for about half an hour each day on school days, and then would do one free response section each weekend. I found; however, that my teacher’s lessons and advice for the test were equally important for providing a solid calculus foundation and exposing areas that were often missed on the AP test.

Real analysis is basically an extremely rigorous version of calculus classes offered in high school. You usually start with the fundamental elements of math such as set theory, the field properties, and metric spaces. You then move on to properties of the real numbers (hence the name REAL analysis) and sequences, which then bring you to limits, which are the first aspect of real analysis that would seem familiar to a high school calculus student. Continuity, series, differentiation, and integration come towards the end, but the material is completely proof-based. That said, it was a lot of new material for me since I was learning real analysis in conjunction with Calculus BC, but it really helps you understand concepts like differentiation and integration deeply. However, I would advise against learning it in 9th grade based on my own experiences.