2 CALCULUS AND ITS LIMITS
In Chapter 1, we experimented with keeping track of how a wall of LEGO bricks changes, and how those changes could be accumulated to get the original wall back. This exercise was good for getting concrete intuition about what a derivative and integral are, and how they relate to each other. However, the exercises in Chapter 1 were limited to ones that happened to always work out to whole numbers of bricks.
The real power of calculus, though, is that it lets us figure out how a continuous curve is changing at any point along its length. Alternatively, we can calculate out how a quantity is accumulating no matter how complicated the equation that describes its behavior. In this chapter, we will build on what we learned ...
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