Wobbly tables and the intermediate value theorem

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…

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…