Browsing by Subject "Mathematics"
Now showing items 18 of 8

An Analysis of the Effects of Age on Professional Golfers
(20130913)We examine statistics from professional golf, and find which statistics influence scoring average and success on tour. We develop an efficient practice routine that tailors to the age and the most important components of ... 
Factoring 2x2 Matrices with Determinant of ±1
(20130906)We examine properties of multiplying and factoring 2×2 matrices to prove that there exist two generators to which all other 2×2 matrices factor. We prove that all matrices fitting out specifications must have a dominant ... 
Making Connections: Is There Always a Winner?
(20130911)We analyze the board game Connections™ and prove that there is always a winner. We examine the scenario in which every space on the board is covered and one specific player has not yet won. Through a series of logical ... 
Mathematical Properties of Juggling Patterns
(20110902)In this report we study the mathematical properties of juggling. Juggling patterns can be described in mathematical terms that allow us to analyze their properties. We focus on transitioning, or switching, between patterns ... 
Probability Distributions of Swishes in the Game of Swish
(20130905)We examine the game of Swish, where we look at the probability of certain events occurring on the first deal of n cards. We are interested in two specific cases, namely a swishless case, where no two cards form a swish, ... 
Rolling Cups and Geometry
(20130905)We analyze the circular trajectory of a cup placed on its side and rolled. Using measurable components of the cup such as the radii and height we find the equation of the circle traced by the cup. 
Using Markov Chains to Analyze a Volleyball Rally
(20130911)We examine a volleyball rally between two volleyball teams. Using the archived statistics of Carthage matches, we calculate the transition probabilities of the match. Results indicate the validity of our model.