Now showing items 1-7 of 7
Using Markov Chains to Analyze Volleyball Matches
In this study we examine how to model a volleyball match with the use of Markov chains and a computer program. We then use this model to examine the importance of different aspects of the game.
An Application of Differential Equations to Political Partisanship
The current political climate suggests an overarching decrease in political partisanship in the United States. In order to test this theory, we will consider a differential equations model suited for two-group competition ...
The Effectiveness of Blended Learning
District of Columbia Public Schools, a school district aiming to improve proficiency rates by 2017, is experimenting with a new teaching technique called blended learning. Proficiency rates from 2008-2012 of 3rd and ...
An Analysis of High Deductible and Low Deductible Insurance Plans
In this study, we analyze two health insurance plans, a high deductible and low deductible plan. We determine which plan is more cost effective for both an individual and a four-person family. This study considers various ...
Dynamical Systems and Circle Maps
Dynamics is a branch of mathematics that studies how systems change with time, and this can be done using function iteration or di erential equations. Our focus is on the dynamics of the circle map function, fn(x) = nx ...
Factoring 2x2 Matrices with Determinant of ±1 and Integer Elements
We prove that all 2x2 matrices, as long as they meet our specifications, have a dominant column in absolute value and can be factored to a product involving three specific matrices.
Decay Rates of Native and Invasive Tree Species Leaves in Aquatic and Terrestrial Sites
In this study, we look at the decay rates of native and invasive tree species leaves in aquatic and terrestrial environments. We also determine if invasive tree species leaves influence the decay rates of native tree species ...