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
WM: I think you have an abrupt leap in difficulty in the limit chapter, compared to the previous chapters. I am not sure there is any way around this; I’m just mentioning it. YB: I think the end of the previous chapter was pretty challenging too, but in any case I also don’t see a way around it.
Page 55: Are we there yet?
Pages 56-57: The ancient Greek philosopher Zeno… // In the 2500 years since Zeno…
BG: 3 bottom images – make each successive one half the width of the previous and draw the people getting squeezed out of the frame? “revenge of zeno”. YB: Interesting idea, and I will suggest it to Grady, but I’m not sure how we do that and still fit in all the text.
Pages 58-59: The concept of limits… // Limits are not about where you’ve been…
WM: Page 58: don’t you need the bumper sticker to say ” lim as n —> heart of n” to get the heart you want for the bumper sticker? YB: I think this is okay as-is.
Pages 60-61: Thanks to limits… // …and find closure.
BG: top illustration on p60 – will there also be the chef w/ a knife to pay off “dicey” or is it only the overly dramatic actor? YB: I think it’s just going to be a stand-alone piece of wordplay. I’m glad you noticed it though!
RC: Stage joke: Cute, but I’m not sure it helps to overall understanding. YB: We’re trying! 🙂
Pages 62-63: For an easy example… // Mathematically speaking…
WM: Page 62: does the reader need to be cued that you defined what a sequence is somewhere (I always tell students it’s just a long list of numbers that never ends)? YB: Hopefully it’s intuitive from the first text box on the page. If not they can check the glossary.
WM: Page 63 – very nice. YB: Thanks!
RC: Discontinuity – really like the concept of lifting up the pencil. YB: Thanks!
Pages 64-65: On the surface… // One big idea is that limits follow simple rules.
DM: the Delta Gamma… I don’t mind it, but I don’t know if others won’t mind it. Maybe it’s a bad stereotype that is resented? I can’t say. Again, I personally think it’s fine, but if you want to play it safe, that might be one thing to do. YB: Yes, Grady and I have talked about this quite a bit. I actually have a good friend who’s a DG and she thinks it’s great… but you’re right that it’s a bit risky. Maybe it would be better to replace an actual sorority with a sorority with a fake name? Hopefully that will help. We’ll try beta-lambda and gamma-tau; those don’t seem to be actual names. Or maybe sigma-mu because that’s a way to get the sigma sign in there? (But note that we’d be mixing upper- and lower-case letters.)
RC: Sorority reference: Sort of confusing and unless you know the limit reference that it refers to, this joke might get confused as a offensive sorority joke…which could alienate some in your STEM audience. YB: Yes… see comments above.
Pages 66-67: Another big idea… // …in a mathematically rigorous way.
RC: Could remind that you can’t divide by zero. YB: Hmm… don’t really see how or where to do that, sorry.
Page 68: In Chapter 15…
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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