Open any calculus book and you will find a discussion about how differentiability implies continuity, but continuity does not imply differentiability. The absolute value function is the standard example of a continuous function that is not differentiable (at ). The inquisitive student may ask: how bad can continuous, nondifferentiable functions get? Can we make a…
Tag: continuity
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…
David Richeson: Division by Zero 