Zombies, cockroaches and bacteria! What more do you need :) If you want a project or activity that is differentiable, then you have found it. This activity gives the student choices, an avenue to be creative, a chance to learn cross-curricular content and of course an opportunity to learn about exponential functions!
When a supersonic jet flies by, a sonic boom is produced. The booming sound is a shock wave. Shock waves occur in other situations as well, such as in plasma. Shock waves produce damage. Its mathematical modeling is a challenge. For example, how to use differentiable function theory of calculus to handle a phenomena that has discontinuity. Some brilliant ideas in the talk from Professor Yuxi Zheng. For More information please visit http://www.yu.edu