**IN THIS APPENDIX, WE REVIEW SOME OF
THE RESULTS FROM CALCULUS THAT ARE EITHER NEEDED EXPLICITLY IN**
the main part of the book or are conceptually sufficiently important when
doing data analysis and mathematical modeling that you should at least be
aware that they *exist*.

Obviously, this appendix cannot replace a class (or two) in
beginning and intermediate calculus, and this is also not the intent.
Instead, this appendix should serve as a reminder of things that you
probably know already. More importantly, the results are presented here in
a slightly different context than usual. Calculus is generally taught with
an eye toward the theoretical development—it has to be, because the intent
is to teach the entire body of knowledge of calculus and therefore the
theoretical development is most important. However, for applications you
need a different sort of tricks (based on the same fundamental techniques,
of course), and it generally takes *years* of
experience to make out the tricks from the theory. This appendix assumes
that you have seen the theory at least once, so I am just reminding you of
it, but I want to emphasize those elementary techniques that are most
useful in applications of the kind explained in this book.

This appendix is also intended as somewhat of a teaser: I have included some results that are particularly interesting, noteworthy, or fascinating as an invitation for further study.

The structure of this appendix is as follows:

To get a head ...

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