- Type: #book - ASIN: B017ZXWY3U - Authors: [[Kalid Azad]] - Highlights - From another perspective, a filled-in disc is really just the “time lapse” of a single ring that grew larger. (p4) - Numbers and equations describe what we have, but Calculus explains the steps that got us there. Instead of just the cookie, we can see the recipe. (p4) - Calculus appears in science because a step-by-step blueprint is more useful than being handed a final result. But in everyday scenarios, we have a nice perspective to turn on: What steps got us here? Are there any pros or cons to that approach? And based on these steps, where are we going next? (p4) - The black trend line is the super-summarized description of an X-Ray strategy. We’re showing the size of each piece (the graph height) and how their size is changing (trend direction). (p9) - how it’s related to other quantities. The rules of arithmetic are general-purpose, and it’s our job to apply them to a specific scenario. (p13) - The terminology is “derive \<some pattern> with respect to \<some direction>”. For example: (p16) - Taking the derivative is also called “differentiating”, because we are finding the difference between successive positions as a shape grows. As we grow the radius of a circle, the outer ring is the difference between the size of the current disc and the next size up. (p16) - Remember, the derivative just splits the shape into (hopefully) easy-to-measure steps, such as rings of size (p18) - Let’s say they observe a constant amount of fencing being delivered (4, 4, 4, 4…) but increasing orders of topsoil (1, 3, 5, 7, 9, 11…). What can they work out? (p38) - Notes -