In this chapter we explore calculus with the help of Mathematica. Much of what is seen in this chapter should be familiar (or at least recognized) from first-year study. We aim to revise this material, as well as visualize it in ways that are, one hopes, easily accessible and in addition provide new insight even to the more capable reader. We also attempt to introduce some newer (or, at least, less familiar) material. In all cases here the aim is to use Mathematica to complement and improve our own calculus skills; the goal is one of a human/machine collaboration, not that of an electronic replacement for calculus skills.
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