Quick links to Front matter, Back matter, and:
Part One: Ch 1: Introduction, Ch 2: Speed, Ch 3: Area, Ch 4: Fundamental theorem, Ch 5: Limits
Part Two: Ch 6: Derivatives, Ch 7: Toolkit, Ch 8: Extreme, Ch 9: Optimization, Ch 10: Economics
Part Three: Ch 11: Hard way, Ch 12: Easy way, Ch 13: Revisited, Ch 14: Physics, Ch 15: Conclusion
RC: Economics chapter is nice clear, especially page 122-123 marginal analysis which is nicely summarized.
Page 119: Introductory page
Pages 120-121: Economics is about… // …and that makes calculus extremely handy…
Pages 122-123: What makes optimization problems in economics special… // The way economists balance them…
WM: Page 122 – I would use the gag “Isn’t that special?”, but younger readers won’t get the joke, and Dana Carvey would sue you. YB: Yup. Will ponder.
MB: p.122 Define Q. YB: Good suggestion, the question is where. We do this on p123, so maybe that’s enough? Or maybe we can try to do it on p120 where we discuss output? (The challenge here is that we also discuss profit, so if we say “output Q” then we also need to say “profit \pi(Q)” and I’m trying to avoid having to write \pi as a function.) Update: I’ve asked Grady about this, but I’m inclined to leave this as-is.
MB: p. 123 Maybe pick different numbers so the 2 Q^2 doesn’t come in on both sides? YB: I think this is okay as-is.
Pages 124-125: A mathematician would set up this problem… // An economist would head for the same destination…
RC: Like the illustration of the sum & power rules. YB: Thanks!
Pages 126-127: The way for you to find economics enlightenment… // Now let’s apply the same logic…
MB: p. 127 Explicitly define marginal cost and marginal revenue. YB: We do this on p126.
WM: Good explanation on page 127. YB: Thanks!
RC: Revenue/cost/profits top panel is not too intuitive. YB: Hmm, I’m not sure which panel you’re referring to or how it might be improved.
Pages 128-129: Similar examples of marginal analysis… // Of course, we shouldn’t forget…
ME: being a former bike racer and coach, I love the bike race metaphor, but gym workout and bike race make it a mixed metaphor. Change gym workout/work-out person to commuter challenge/tour de france/Olympics. I’m partial to the former, albeit it doesn’t appeal to the masses. Ever see how serious the bike commuters of all ilk (backpacks, kid trailers, cargo bikes, etc) are racing up Dexter from the Fremont bridge? The race cartoon image on p. 16 is a great start. Alternatively, you could keep the gym workout metaphor and insert hanz and franz muscleheads with optimized or minimized biceps, or horse races. “It’s [a horse named] Newton, by a nose, er, apple” YB: The “gym workout” line will not be there in the final draft, just the image and dialog.
RC: corner solutions – not hugely explained earlier, oh well. YB: I disagree, I think we tried really hard to cover corner solutions in the previous 2 chapters.
Page 130: When you encounter more economics…
Quick links to Front matter, Back matter, and:
Part One: Ch 1: Introduction, Ch 2: Speed, Ch 3: Area, Ch 4: Fundamental theorem, Ch 5: Limits
Part Two: Ch 6: Derivatives, Ch 7: Toolkit, Ch 8: Extreme, Ch 9: Optimization, Ch 10: Economics
Part Three: Ch 11: Hard way, Ch 12: Easy way, Ch 13: Revisited, Ch 14: Physics, Ch 15: Conclusion
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