I took precalculus as a sophomore, which was was unusual in my unified school district but not very. Halfway through the year — over winter break to be exact — I borrowed a calculus textbook and taught myself the first semester. After break I joined up with a class of seniors and set their first semester final exam curve.
Until that point I had enjoyed math in much the same way I enjoyed hearing those chimes upon completing a level of Super Mario Bros. Precalculus was satisfying but calculus was engrossing. That textbook fed me like only my favorite novels have. I’m realizing today — now — how insidiously and completely calculus has infiltrated my teaching.
If you have never found joy in an indefinite integral, you’re pre-emptively forgiven for scratching your head over this post. I hope you’ll extend me the same courtesy when I say: you’re missing out.
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