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Handout Monday, 8/25
Welcome to Calculus! Wait, what is Calculus? Today we will explore this in part by doing Odometer vs. Speedometer. We start with that and then discuss as a group. Some notes:
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There are two quantities that we are measuring: distance traveled and speed. Clearly, there is some relationship between these, but what is it? That’s what calculus is all about.
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Note that from physics, and really the definition, we have that\begin{equation*} speed = \frac{distance}{time}\text{.} \end{equation*}That makes sense if we are looking at a constant speed, or in our case, an average speed.
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Next time, we will explore how these concepts relate to each other in more depth.
