Among people who enjoyed doing calculus all day long, he soon realized that he wasn't one of them.
"He did calculus while driving, while sitting in the living room and while lying in bed at night".
"People would have been marching down to the stadium, they would have walked and they would have been doing calculus on the way down".
But there is a second way of doing calculus — this was also explored by Newton — in which one thinks of the calculus as a finite algebra, a skill that involves symbolic manipulation rather than numbers.
But as Web pages burgeon with ever more complex designs and fancy features to show information, writers of HTML are starting to feel as if they are trying to do calculus with an abacus.
"But that smacks into reality when you walk onto any high school campus and see that there are students doing calculus and students who can't add, and they're the same age," Mr. Loveless said.
That's the gist of molecular research: make one little change in the proper pattern, and suddenly you have a rabid potato plant or a mouse smart enough to do calculus.
"Eventually, I realized smarts are not only whether or not you can write well or whether or not you can do calculus, but smarts also is instinct and judgment and competence".
Eventually, we spot lights in the distance - but the further we go, the further away they seem (I find out afterwards that everyone has been finding their own way to hang on - singing songs, counting or, in Tobias's case, doing calculus. As you do).
The concept of infinitesimal parallel vector displacement is essential for doing calculus on manifolds.
