When I teach Calculus, I often begin by comparing the difference between Calculus and Discrete Math to the difference between the individual frames of an old-fashioned movie tape and the movie when shown on a projector. I tell them that, while algebra and all of discrete math looks at individual situations, or “frames”, Calculus can study a world of continuous motion. This analogy has been on my mind lately as I find myself recalling scenes from past holidays with my daughter. Individually interesting, they run together into a “movie” of emotions that grabs me at this time of the year.

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