John Thomas Carberry
Project Advisor: Dr. Ronald Harrell

Benjamin A. Contrucci
Project Advisor: Dr. Ronald Harrell

This senior project investigates finite three-dimensional symmetry groups. All of the groups containing just proper rotations are constructed and discussed, then the groups containing improper rotations are constructed and discussed. A proof is provided from Weyl that shows that there are no other finite groups of just proper rotations other than the ones discussed. A proof is also provided to show that there are also no more groups containing improper rotations than then the ones discussed. Finally, the six systems of crystals are described and examples from each system are given. The examples include a description of the particular symmetry group and explanation of how the rotations work.

This project idea was suggested by Professor Harrell, who is my senior project advisor. My second reader is Professor Barry.

Scott T. Cooper
Project Advisor: Dr. Anthony Lo Bello

This paper discusses the plane curve known as the cycloid. The paper covers the topics of deriving the equations for the cycloid, the mathematical and physical properties of the curve, and related curves such as the trochoid and the cycloid evolute.

Christine Esposito
Project Advisor: Dr. Steve Bowser

The purpose of this comp is to explain how to count the number of non-isomorphic graphs of a given order. To do this, we must first define a graph, its order, and what it means to be non-isomorphic. There are also many other terms we will define, such as coloring, equivalent, permutation, etc., in order to understand the formulas for counting graphs. Once we have introduced all of our definitions we will look at Burnside's theorem, which will give us a formula to count inequivalent colorings. We will also learn how to compute the cycle index. This, along with Burnside's theorem, will help us to understand Polya's theorem, which we can finally apply to our ultimate goal of counting graphs.

Lisa R. Hanson
Project Advisor: Dr. Anthony Lo Bello

We will study Bayes Theory and in particular Laplace's Law of Succession.

Christopher J. Joseph
Project Advisor: Dr. Anthony Lo Bello

We will test the randomness of the first ten thousand digits of y using the Coupon Collectors Problem.

David J. Mancuso
Project Advisor: Dr. Anthony Lo Bello

This project is an analysis of Propositions 1-34 of Book I of Euclid's Elements of Geometry in accordance with the reformulation by David Hilbert.

Timothy C. Miller
Project Advisor: Dr. Anthony Lo Bello

We will study the Weibull distribution and consider many old nad new examples of its use.

Reena L. Sundry
Project Advisor: Dr. Anthony Lo Bello

This senior comprehensive project explains the probability models that are the basis for the common theorems of genetics, specifically those associated with heredity. We discuss the Hardy-Weinberg Law, sex related characteristics, selection, and royal hemophilia.

Richard Matthew Watson
Project Advisor: Dr. Anthony J. Lo Bello

The Randomized Josephus Problem is a modification of the normal Josephus Problem which dates to the first centruy AD. The Randomized Josephus Problem was investigated through the use of a computer program which calculated the relative frequencies of survival for members in a Josephus circle. These date were used to form theorems and conjectures about the probability of survival for each member.

John Ryan Zelling
Project Advisor: Dr. Anthony Lo Bello

No abstract.