AP Test Week …

Or is it more like a month? Either way the time has come; all that work is about to finish. Hope you can look back on a good year of teaching, even though it was very different. Good Luck to your students.

“A Little Calculus”

A Little Calculus is an app for iPad and iPhones. While I don’t usually do product reviews, I think this one is so good that I am making an exception. There are many good websites that illustrate calculus concepts. Many of them, however, do not allow teachers to enter their own examples; they must use…

Other Asymptotes

A few days ago, a reader asked if you could find the location of horizontal asymptotes from the derivative of a function. The answer, alas, is no. You can determine that a function has a horizontal asymptote from its derivative, but not where it is. This is because a function and its many possible vertical…

2021 Review Notes

About this time of year, I have been posting notes on reviewing and on the ten types of problems that usually appear on the AP Calculus Exams AB and BC. Since the types do not change, I am posting all the links below. They are only slightly revised from last year. You can also find…

Extreme Polar Conditions

Looking at the graphs of polar curves can be quite fascinating. Doing “calculus” kinds of things is different, yet the same as in Cartesian coordinates. A discussion on the AP Calculus Community here  got me thinking about extreme values of polar functions. The terms maximum and minimum here refers to the value of r(θ) which…