Cartoon Calculus: Ch 5 (Limits)

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.

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”

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?

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!

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.)

Pages 66-67: Another big idea… // …in a mathematically rigorous way.

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

Join My Email List