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.
Uncertainty and symmetry
We'll show that probability and uncertainty can be convert each other through quadratic equation. And, we'll also show that the quadratic equation can be transform to homogeneous equation, and some assumptions generate symmetric forms.
Генерация выборки значений непрерывного случайного вектора
В заметке приводится описание одного способа генерации выборки значений непрерывного случайного вектора с заданным распределением на основе датчика псевдослучайных чисел, равномерно распределённых в интервале (0; 1).
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.
This project for a Calculus I class was adapted from a similar set of problems from the Calculus series by James Stewart.