Tomorrow I’ll be introducing the intermediate value theorem (IVT) to my calculus class. Recall the statement of the IVT: if is a continuous function on the interval and is between and , then there exists a value such that . In other words, achieves all of the intermediate values between and . This is a very underappreciated theorem…

# Day: September 11, 2008

## Line Rider Calculus

The first time I saw Line Rider in action, I knew I should use it for a calculus class, but I didn’t know how. Recently 360 wrote about using Line Rider in a calculus course, and so did Teaching College Math, who suggested creating a video of the action using the screen capture software Jing. This week’s topic in…

## Topological claymation

For my first post, I thought I’d post a couple of short videos that I made earlier this year. The inspiration was the following sequence of pictures I put in my book illustrating what I call the “double torus clothesline trick.” It seemed like everyone I showed it to had trouble following the sequence of…

## Hello world!

Welcome to my new blog. My friends and colleagues are sick of me sending them links to all the cool things I find on the web, so I thought I’d spam the world instead by posting them on my own blog. I hope other people enjoy this, but I am going to view this as…