Browsing Mathematics Senior Individualized Projects by Title
Now showing items 5473 of 249

Ecosystem Modeling : Stability and the Effects of Perturbations on an Ecosystem : Example : Analysis of the Terrestrial Carbon Sequestration Compartment Model
(Kalamazoo College, 2000)My research in the "Ecolab" in the Department of Botany and Microbiology consisted mainly of learning the concepts of system theory and analysis, which I will explain in much more detail throughout the paper. More generally, ... 
The Effect of a Spherical Earch Model on a Scenario Generator
(Kalamazoo College, 1991)Two years ago while doing my Career Development at Naval Research Laboratories (NRL), Washington, D.c., I began searching for a SIP internship there that would utilize my mathematical skills as well as the skimpy amount ... 
Elementary Transcendental Functions of a Real and Complex Variable
(Kalamazoo College, 1964)The first chapter contains a description, rather than a development, of the real number system, and ends with some ideas about rational approximation to irrational numbers. This chapter serves primarily as an introduction ... 
An Estimator for the Mean Platelet Lifetime in Humans
(Kalamazoo College, 1974)This project was an attempt to develop a clinical technique for estimating the mean longevity platelets that is relatively independent of any particular model. 
Euclid's Parallel Postulate
(Kalamazoo College, 1965)The development of the paper proceeds chronologically, with a few minor exceptions, from the beginnings of geometry up to the discovery of nonEuclidean geometry, of which a short summary is appended. No knowledge of ... 
An evaluation of Nine Forecasting Techniques
(Kalamazoo College, 1982)This project serves as a part of the research necessary to implement a revision/rewrite of the present UDF (Unit Demand Forecasting) system. Nine different forecasting methods of time series data are being considered. ... 
An Examination of Game Theory and Poker
(Kalamazoo College, 1972)Most card players know that· the object of a good poker game is to amass the maximum amount of winnings you can, or, if you look at the game a little more pessimistically, to make sure you can still go home with your shirt ... 
Examining the Impact of the Internet on the Electoral Process
(Kalamazoo College, 2001)In seemingly every area of society, the Internet has made an impact. The political world is no exception. Already politicians and other groups use web sites and electronic mail, among other things, as tools to spread ... 
The Expected Points of an NFL Player Based on Age: Regression Models & Football Statistics
(Kalamazoo College, 2006)Since the beginning of history, man has been obsessed with finding patterns in the world. Ancient rulers would contact oracles to help read the patterns in the stars or in the way a flock of birds fly. By finding the ... 
The Experimental Works of Jean Piaget and a Discussion of Their Educational Implications
(Kalamazoo College, 1965)The first part of this paper is a rather lengthy and detailed summary of the experimental works of Piaget in the areas of number and geometry. I had a number of reasons for making the summary so detailed. Unfortunately, ... 
An Explication of System EI, The Pure Calculus of Entailment, developed by Alan Ross Anderson and Nuel D. Belnap Jr., with special attention given to their position concerning the paradoxes of implication
(Kalamazoo College, 1971)In this paper, we wi11 focus on system EI and the arguments, presented by Anderson and Belnap, for rejecting the paradoxes of implication, 1nc1ucling the disjunctive syllogism (p & (p v q)  q). We will also examine ... 
An Exploration into Three Sets of Mathematics Texts, and Three Pedagogical Factors that Could Make Students Successful
(Kalamazoo College, 2011)This is a brief investigation into the strengths and weaknesses of three different sets of mathematics texts. The first is Singapore Math, a series for kindergarten through 6th grade that hails from Singapore, a country ... 
An Exploration of Stopper Knots: Using Knot Theory to Examine Knot Strength
(Kalamazoo College, 2008)Nine stopper knots were tied, tested for strength, ranked, and then analyzed. The two strongest knots were the figure eight knot and Oysterman's stopper knot. The weakest group of knots was comprised of the overhand (or ... 
Exploration of the Laplace Transform
(Kalamazoo College, 2019)The author designed a Physics lab using the Laplace Transformation to be used in Dr. Tom Askew’s Physics 370 class. The Laplace Transform gives us another option when it comes to solving differential equations. In short, ... 
An Exploration of Women's Attitudes and Experiences with Mathematics
(1990)The author's project combines a personal essay on the author's own experience with mathematics in school, a general overview of the literature on women and math, interviews with nine women, and a review of the author's ... 
Exploring the Effects of Socioeconomic Status on Student Learning : A Series of FirstHand Experiences
(Kalamazoo College, 2014)The following essays are based on my firsthand experiences interactingas a teacher, mentor, tutor, and friend with children and young adults. Before I started writing these essays, I knew I wanted to write about my ... 
Exploring the PASCAL Pyramid: A Study of Some of the Properties in a 3Dimension Ordering of the Trinomial Coefficients
(Kalamazoo College, 1988)The purpose of this paper is to introduce the Pascal Pyramid and present some of its basic properties and its structure, as well as a few of its more interesting problems. This work is the result of journal searching and ... 
An Exposition of Hadamard Matrices
(Kalamazoo College, 1964)The purpose and aim of this paper will be to acquaint the reader with the development of these matrices and the methods used to determine their existence. The beginning section will consist of definitions which are intended ... 
Extensions of the Mean Value Theorem on the Real Line and the Complex Plane
(Kalamazoo College, 2018)The goal of this SIP is to first analyze just a few of the many extensions to the Mean Value Theorem that have been proven in recent decades. This analysis follows a common structure that starts with stating each theorem ...