Update -- with notes for Greg and Alex

[Sean Fitzpatrick]

OK, here is my progress update:

In the "updates and edits" pull request:

- fixes for some typos and image issues I encountered while going through the chapters on vectors and vector-valued functions, and some later ones found while validating

- corrections to a few webwork typos (seed in the wrong place a couple of times, and at one point the URL to Alex's server showed up...)

- implicit differentiation for a function of 3 variables: in sec_multi-chain, an explanation of the result, and an example, and in the section on tangent planes, a short explanation about why the gradient gives the normal vector

- update definition of spherical coordinates to use elevation angle

- add exercise on deriving an error estimate for the integral test for series

- update and add to examples involving manipulation of Taylor series, and fix composition part of theorem

- explain convention on intervals for intervals of increase/decrease

- add new definition for concave up/down with accompanying images

- add theorem that f''(x) determines concavity (and an explanation using the MVT -- took me a minute to figure out the proof!)

- add remark on unit normal vector for lines

I will add two more items in the next hour:

- update definition of partial sums

- add exercise emphasizing notation for integration variables (from Grady)

At that point I think I'm caught up on the to-do list of edits for the summer.

Greg, please look over these changes. I'll send you new HTML if you'd rather look at that than the diffs on github.

Also Greg: please look over the preface that I added (again, you can look at the HTML once it's ready) and let me know if there are changes/additions.

Once that's done we can merge the pull request to update frontmatter.

Alex: I found one buggy webwork problem and added an issue on GitHub.

Later, two changes:

1. Add videos for the chapters on vectors and vector-valued functions. Shot those last week and just got them up on YouTube. That means we have all chapters covered.

2. Possibly adjust dimensions for Asymptote figures. I noticed that when you change the dimensions, the fonts don't scale. So a 200x200 image appears to have larger font labels than a 300x300 image. I'll look into best practice for this.

[Sean Fitzpatrick]

updated version is live: https://opentext.uleth.ca/apex-calculus/sec_concavity.html

Note that the preface I added isn't present, because that's on a different branch that's waiting to be merged.

[Sean Fitzpatrick]

Also, here is a test run using updated code to get figures in the margin for PDF:

https://opentext.uleth.ca/apex-calculus-novid.pdf

Note that I only adjusted vertical placement for the first chapter, so things won't look good after that.

As with last year, we left figures that are in a 2-panel sidebyside inline, rather than trying to move them to the margin.

I *think* I could make this happen if Greg wants to see more figures in the margin.

There are a small number of figures intended to be inline though, so we'd need some way to skip over those.

[gregory...@gmail.com]

In the new .pdf, why are the graphics on page 136 different than the other graphs in the text?

I went ahead and merged the pull request as it seemed that a lot of stuff was held up by that. I looked through the diffs and it all looked fine, but seeing it in HTML would be helpful, for sure, especially the concavity changes.

[gregory...@gmail.com]

Whoops - I saw that you do have concavity HTML up. Am reading now...

[gregory...@gmail.com]

To continue to spam this thread: I read what you did and it seems good. The justification for the thm seems good, too. Thanks.

[Sean Fitzpatrick]

Those graphics are generated by WeBWorK.

There is a brand new feature to use TikZ code in a WeBWorK problem instead of WeBWorK's internal graphics, and Alex has started to work on bringing that into APEX, but I think it'll take awhile before we get through them all.

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