Browsing Mathematics Senior Individualized Projects by Title
Now showing items 142161 of 249

Mathematical Existence in the Theory of Sets
(Kalamazoo College, 1963)The purpose of this paper is to trace some of the developments arising directly out of the crisis in set theory, in terms of the various views they embody of the nature and existence of their subject matter. Three viewpoints ... 
Mathematical Linguistics and the Rationalists
(Kalamazoo College, 1968)The purpose of this paper is to make clear the position of the Rationalist school of language study and its reliance on machinery provided by the Foundation of Mathematics. Thus the main thrust of this paper is at the ... 
Mathematical Proportions in Modern Architecture
(Kalamazoo College, 1965)This thesis combines the history of symmetry and proportion with a practical application of each to modern architecture. This application of knowledge and skills gained through research was introduced in the hope that ... 
Mathematical Statistics as used in the Construction of Statistical Models at Upjohn
(Kalamazoo College, 1987)In the following paper, I will explain, in some detail, the theoretical origins of the basic statistics needed to understand the techniques of statistical model building. I was given the opportunity to learn what I have ... 
Mathematics as a Liberal Art: One Foundation for Writing Well
(Kalamazoo College, 1996)I believe one's ability to write well comes, in the end, from careful study of language and of writing itself. I also believe that various educational backgrounds can serve as a foundation for such study. In this paper, ... 
Maximum Entropy Spectral Analysis With Particular Interest in Applications to Seismic Waves
(Kalamazoo College, 1976)This work was part of a collaborative study with the Geophysics section of the Department of Terrestrial Magnetism (DTM) of the Carnegie Institution of Washington. The object of the study was to carry out a pilot investigation ... 
Methods for Path Optimization in Biomolecules
(Kalamazoo College, 2004)Path optimization can be a very important tool in many aspects. It can be used in many different fields of study for many different types of path. In general, path optimization involves improving a path according to a ... 
Minimizing FlowTime Variance on a Single Machine
(Kalamazoo College, 1985)For my Senior Individualized Project, I worked for the Mathematics and Science Department at GMI Engineering and Management Institute in Flint, Michigan. I worked with Dr. s. Chakravarthy, a teacher at the school, Who ... 
Mixed Modeling of the Leatherback Turtle NestSite Fidelity at Playa Grande, Costa Rica
(Kalamazoo College, 2003)Not much is known about the leatherback turtle's (Dermochelys coriacea) nesting behaviors, specifically, the degree of the leatherback turtle's philopatry (nestsite fidelity), which other sea turtles exhibit. Therefore, ... 
My Most Unforgettable Characters: Representations of the ThirtyTwo Crystallographic Point Groups
(Kalamazoo College, 1970)The elements of symmetry or covering operations of a particular point group under a defined multiplication define a group. I have chosen to define these thirtytwo basic point groups and to find all of the irreducible ... 
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)