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Topic: derivatives and limits for ALL fns together?
Replies: 2   Last Post: Sep 9, 1998 8:20 PM

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D Mitchell

Posts: 165
Registered: 12/6/04
derivatives and limits for ALL fns together?
Posted: Aug 19, 1998 8:16 PM
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Dear Group,

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?

Thanks for your help,

Doug Mitchell MDHS, Markham, Ontario CANADA

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