EarthCalculus
$9.99
Minimum price
$12.99
Suggested price

EarthCalculus

Resources and Worksheets for Adventurous Instructors

About the Book

About the Author

Kaisa Taipale
Kaisa Taipale

I am a mathematician who loves contemplating the purest of the pure (string theory is so cool!) and the messiest of the messy (what's the mathematics of composting?). Contemplation is not enough, though. I like to make stuff! Hence the book.

EarthCalculus is a book about the calculus on Planet Earth, beyond gravitation. My students are interested in the environment, nature, the planet, and our interactions with it -- and calculus has tools to deal with the messy problems of groundwater usage, optimization of fertilizer use, and many other surprisingly subtle problems. It's so much more fun to demonstrate the open-ended powers and pitfalls of mathematics than just do problems from standard texts. EarthCalculus aims to give profs and students quick introductions to those interesting real-life problems, with dozens of in-class worksheets to get students' hands messy. 

Table of Contents

    • About
  • Introduction
    • Approaching calculus through an earth-lens
  • Precalculus worksheets
    • Lines: A linear beginning
    • Composition of functions: group work and a power function for atmospheric pressure
    • Trigonometric functions: lynx!
    • Reading graphs: nitrates in the Raccoon River
    • Limits and continuity: drugs in our waterways
    • Inverse functions: revisiting the mountains
    • Volume and area: White Bear Lake
    • Increasing and decreasing: nitrates in the Raccoon River
  • Using short projects
    • Incorporating short projects
    • Spreadsheets in the calculus classroom: Point Reyes tidal data
  • Differentiation
    • Rate of change: aquifers and groundwater
    • Rate of change: White Bear Lake surface level
    • Rates of rates of change: atmospheric pressure in mountains
    • Graphing: the mathematical stories
    • The chain rule: a better model for lynx populations
    • Inverses and derivatives: more altitude problems
    • Derivatives mix: drugs in our waterways
    • Optimization: give me some optimal sugar!
    • Related rates: compost oh compost
    • Derivation of equation for atmospheric pressure
  • Integration and differential equations
    • Numerical integration: drinking drugs in Denver
    • Differential equations: our leaky atmosphere
    • Sea ice: a very baby model
  • Further resources
    • Other calc resources
    • Copyright?

The Leanpub 60 Day 100% Happiness Guarantee

Within 60 days of purchase you can get a 100% refund on any Leanpub purchase, in two clicks.

Now, this is technically risky for us, since you'll have the book or course files either way. But we're so confident in our products and services, and in our authors and readers, that we're happy to offer a full money back guarantee for everything we sell.

You can only find out how good something is by trying it, and because of our 100% money back guarantee there's literally no risk to do so!

So, there's no reason not to click the Add to Cart button, is there?

See full terms...

80% Royalties. Earn $16 on a $20 book.

We pay 80% royalties. That's not a typo: you earn $16 on a $20 sale. If we sell 5000 non-refunded copies of your book or course for $20, you'll earn $80,000.

(Yes, some authors have already earned much more than that on Leanpub.)

In fact, authors have earnedover $13 millionwriting, publishing and selling on Leanpub.

Learn more about writing on Leanpub

Free Updates. DRM Free.

If you buy a Leanpub book, you get free updates for as long as the author updates the book! Many authors use Leanpub to publish their books in-progress, while they are writing them. All readers get free updates, regardless of when they bought the book or how much they paid (including free).

Most Leanpub books are available in PDF (for computers) and EPUB (for phones, tablets and Kindle). The formats that a book includes are shown at the top right corner of this page.

Finally, Leanpub books don't have any DRM copy-protection nonsense, so you can easily read them on any supported device.

Learn more about Leanpub's ebook formats and where to read them

Write and Publish on Leanpub

You can use Leanpub to easily write, publish and sell in-progress and completed ebooks and online courses!

Leanpub is a powerful platform for serious authors, combining a simple, elegant writing and publishing workflow with a store focused on selling in-progress ebooks.

Leanpub is a magical typewriter for authors: just write in plain text, and to publish your ebook, just click a button. (Or, if you are producing your ebook your own way, you can even upload your own PDF and/or EPUB files and then publish with one click!) It really is that easy.

Learn more about writing on Leanpub