Unit 1: Slice it, add it up, watch it grow
About this unit
Calculus finds totals by adding thin slices of a changing rate, and the total it builds grows at exactly that rate.
By the end, you can: See calculus as two linked moves: adding up many thin slices to get a total, and reading how fast that total grows.
Modules
5 modulesLearn
- Too hard in one pieceArticle · Chop a changing total into thin slices, treat each slice as steady, add, and let the slices shrink.Not started
- How fast the total growsArticle · The running total gains about f(T)·dt in a sliver of time, so it grows at rate f(T): the two halves of calculus.Not started
- Thin the slicesExperiment · Add rectangles until the estimate is within 0.2 litres of the exact total.Not started
- The two movesReview · Slicing and summing gives totals; the total's growth rate is the rate you summed.Not started