This project walks students through computing the perimeter and area of the Koch Snowflake as an application of geometric series. Students then create their own fractal and perform similar computations.
This is a project for Calculus 2 students at Fitchburg State University. This project walks students through two examples of using definite integrals to determine the volume of objects: a bundt cake serves as the solid of revolution and the students build a structure from play dough that is not a solid of revolution.
This project for a Calculus I class was adapted from a similar set of problems from the Calculus series by James Stewart.
A New Definition of Pressure Based on Kinetic Theory Derivations
Typical derivations of kinetic theory equations often exchange the contact time of the particle on a wall with the period of the particle's motion between walls. In this paper we redefine pressure as time-dependent in order to solve this issue and show that this definition makes much more intuitive and theoretical sense than our old definition of pressure.