Browsing Mathematics Senior Individualized Projects by Title
Now showing items 147166 of 242

Nest Site Fidelity of Leatherback Turtles (Dermochelys coriacea) on Playa Grande, Costa Rica: A Statistical Analysis of Individual Nest Site Selection
(Kalamazoo College, 2002)The current conservation method of relocating doomed leatherback sea turtle (Dermochelys coriacea) clutches of eggs is often used on nesting grounds to save clutches located in beach areas where they would likely be lost ... 
A New Axiomization of the Variety of Trimedial Quasigroups
(Kalamazoo College, 2006)We present a new axiomization of trimedial quasigroups. We formulate this axiomization with the assistance of the automated deduction system, OTTER, and present our results in a proof translated from OTTER's results. 
New Labs for College Level Courses: Linear Algebra I
(Kalamazoo College, 2005)This project would be three fold: 1 First, I would have to identify the ways in which mathematics labs have been created in the past and some new methods that are being experimented with at the college level. 2 Next, ... 
A New Shape to the RUG : Further Exploration of the Region Unknotting Game
(Kalamazoo College, 2016)A region crossing change is an unknotting operation on a knot diagram. In the past, knot games have been used to demonstrate and discover properties of families of knots. We will find winning strategies of knot games to ... 
NonAssociative Number Theory: Meditations Upon an Article by T. Evans
(Kalamazoo College, 1966)The course of' learning tor a college math student is a search for unity. Throughout his four years of study, he is constantly trying to organize vectors, groups, differentials, integrals, and the like, into a meaningful. ... 
Nonlinear Reasonant Systems: Bifurcation and Chaos Development of a Fast Fourier Transform Driver
(1984)The response of nonlinear resonant systems driven sinusoidally at resonance has complicated dependence on the amplitute of the driving signal. Chaos and bifurcation in driven nonlinear resonant systems are examined here ... 
Numerical Investigation of a Nonlinear, Ordinary Differential Equation System
(Kalamazoo College, 1986)In recent years, it has been found that many complicated, high order systems display behavior similar to behavior of the logistical equation, Fm(X)=mX(1X), when the equation is viewed as a dynamical system. A dynamical ... 
Numerical Tools for Describing Musical Compositions
(Kalamazoo College, 2012)The goal of this paper is to apply the methodologies of statistical mechanics to develop flexible tools for use in computational musicology. Classical statistical mechanics is the study of extremely informationrich ... 
Object Oriented Analysis of TACT Accelerometer Calibration Tool
(Kalamazoo College, 2003)In the summer of 2002 I was employed by the University of Michigan Research Institute, Biosciences division to create a program that would aid the process of accelerometer calibration for transducers used in crash testing. ... 
Odd Perfect Numbers
(Kalamazoo College, 19640420) 
On a Generalization of the BestvinaBrady Construction
(Kalamazoo College, 2017)This work builds on work in [1] and [2] to study the homotopy fibre of a map between polyhedral products. The construction itself generalizes the definition of BestvinaBrady group. Here we compute the cellular chain complex ... 
On Curves of Constant Breadth
(Kalamazoo College, 1963)This paper is concerned with figures of constant breadth. When the term constant width is used it is to mean the same as constant breadth. The terms are used interchangeably in the field. To provide a certain amount of ... 
On Fundamental Solutions
(Kalamazoo College, 1969) 
On Green's Function Method For Solving Differeptial Equations
(Kalamazoo College, 1996)This paper was written under the assumption that the reader has been previously exposed to methods for solving ordinary differential equations, linear algebra and some real analysis. Results from other mathematical topics ... 
On The Determination Of Parameters by Means of Functional Inversion
(Kalamazoo College, 2014)This paper attempts to discover how to determine the parameters of a function using the zeroes of the function. Generalizing affine algebraic varieties, we define and develop the locus of a function, to that end. Specific ... 
On von Neumann's Model of an Expanding Economy
(Kalamazoo College, 1966)In the present paper the method of proof is quite different from that in von Neumann's original article. The three proofs of existence herein involve game theory while the original proof involves elements of topology. ... 
One Direction in Mathematical Linguistics: Generative Grammars
(Kalamazoo College, 1971)My interest in mathematical linguistics stems from a curiosity about languages and a desire to be scientific in a study of them. My purpose for an SIP was to learn as much as possible about this field as I could in the ... 
Optimization of the 2.0 Version CBMS II Invoicing / Accounts Receivable / Inventory System at Burroughs Corporation
(Kalamazoo College, 1978)This report will deal mainly with the Invoicing programs and their interfaces (interactions) with the Accounts Receivable, Inventory and General Ledger modules. The Invoicing module provides the user with a method of ... 
The Origin of PointSet Topology
(Kalamazoo College, 1965)I have restricted my researches to the origin of general topology and carried my work past 1900. Within this framework, going back before Cantor's conception of set theory (18791884) is of little specific importance; ... 
Original Date Conversion Study
(Kalamazoo College, 1976)My original assignment was to design the logic for, and write a program in Basic to calculate conversion costs. The easiest and most efficient method of running the conversion costs calculations required the extensive retrieval ...