It will be my first time teaching AP AB. Because of funds (lack of) I must use an older Calculus text (published 1988). The format of this book is such that in this 8 chapter book, it is not until chapters 5 and 6 that the limits and derivatives of trigonometric and logarithmic/exponential functions are introduced. Until that point we have done all that can be done in derivative calculus with polynomial and rational expressions. And then in chaps 5 and 6 it is quickly repeated for the trig/log/expon functions. The advantage of this style is that students get very comfortable with all aspects of derivative calculus with a more limited group of functions before moving on. But I am concerned that this approach may expend to much time. I am not familiar with AP textbooks. Are there some which take this approach (I hope:))? Or do you recommend that we complete all the necessary limits and derivative rules for all functions in and around the same time?
As well, I am not familiar with the preliminary courses to AP AB in the U.S. and I wonder if your kids already have in their repertoire all the non calculus trig 'stuff':
e.g.. the compound and double angle formulas...cos and sin (A+-B), cos and sin 2A......
If they do this in an earlier grade do they still possess it in the AP year!? Do you have time for review of this material?