# What is a Solution?

“How does one solve x + ln(x) = c algebraically?” A teachers asked that on the old calculus electronic discussion group (EDG) and it got me to thinking about what a “solution” really is. We start by teaching students how to solve linear equations; the idea is to do some arithmetic and/or algebraic operations on…

A very short post today. Audrey Weeks, author of Calculus in Motion, sent me this link to a BBC article by Melissa Hogenboom discussing the 10 most beautiful equations. Each equation can be clicked for more details and some of the links even have videos discussing the equation. Click here for You decide: What is the most beautiful equation? After reading…

# When are we ever …

The following answer to a question we’ve all been asked was posted yesterday on a private Facebook page for AP Calculus readers. The author, Allen Wolmer is a teacher and AP Calculus reader. He teaches at Yeshiva Atlanta High School, in Atlanta, Georgia. I reprint it here with his kind permission. Thank you Allen.     A…

# December 2015

Here are the past posts for December. The topics are those leading to integration and the Fundamental Theorem of Calculus. The four featured post below are the most popular December posts from past years. I hope you all have a happy holiday season as you get ready for the New Year. November 18, 2012 Antidifferentiation…

# October 2015

A personal note: My wife and I just moved from Texas back to Saratoga County, New York where I spend 29 years teaching. My seven and one-half years in Texas were a lot of fun. I had the opportunity to travel all over the USA from Boston to Honolulu, working with calculus teachers, which I…

# Matching Motion

Here’s a little matching quiz. In the function column are a list of properties of functions and in the motion column are a list of terms describing the motion of a particle. The two list are very similar. Match the terms in the function list with the corresponding terms in the Linear Motion list (some may…

# August 2015

I know a lot of you start back to school later this month. Having taught most of my career in New York I’m used to school starting after Labor Day (and ending in late June six weeks after the AP exams), so I still think of August as summer vacation. Whenever you start, I hope…