This is Paul's dog Pharaoh, "Just being a dog."
This photo proves Beagles can do basic math and a little algebra.
But Corgis can do calculus.
This is a Tim Pennings' Corgi with his calculus tools.
Paul told me about Tim Pennings, a professor of mathematics at Hope College who specializes in research and writing about dynamical systems, mathematical modeling, and the infinite. Dr. Pennings lives with a famous Pembroke Welsh Corgi dog, Elvis, who demonstrates calculus. Dr. Pennings and Elvis are featured here - A Dog, a Ball, and Calculus, Ivars Peterson's Math Trek (copyright 2003).
Walk softly and carry a big stick.
I'm sure there's some calculus going on here, but I don't know what.
Dr. Pennings has given hundreds of talks with Elvis. His areas of research and writing include dynamical systems, mathematical modeling, and the infinite. Click here to learn more about calculus, how dogs use it and the man who lectures about it: Hope College Mathematics
And even more links:
Do dogs know Bifurcations? (Tim Pennnings and Roland Minton, The College Mathematics Journal, Mathematical Association of America)
Dog Plays Fetch With Calculus (YouTube)
Tim Penning with his teaching assistants.
And don't forget to check out Paul's blog, Learning From Dogs