Browsing Mathematics Senior Individualized Projects by Title
Now showing items 119138 of 249

Inventory Management at General Motors Assembly Division and AIMS, the Automated Inventory Management System
(Kalamazoo College, 1983)In this paper, I will first give a brief overview of General Motors Assembly Division (GMAD) , including a history and an explanation of its function within General Motors. Then I will outline the goals and benefits ... 
Inverting Linear Transformations As Best We Can: The Pseudoinverse of a Matrix
(Kalamazoo College, 1998)Given that invertibility is such a key concept in algebra, any student of the subject should be aware that singularity is not the end of the world; however, this paper was intended for readers that have completed a second ... 
Investigating Conformation Changes of Alanine Dipeptide and Cyclosporin A using Molecular Dynamics
(Kalamazoo College, 2003)This paper discusses the process of drug discovery and the role played by molecular dynamics. Following the general discussion in terms of springmass systems and a LennardJanes cluster, the properties of two molecules ... 
The Investigation of a Nonlinear, Ordinary Differential Equation System
(Kalamazoo College, 1987) 
The IX/370 Demonstration Package
(Kalamazoo College, 1986)This document is the culmination of three month's effort at the IBM System Center in Dallas, Texas. It contains all the code and documentation prepared for the IX/370 demonstration package during that time. It also ... 
Job Account: Computer Simulation of Steroid Production
(Kalamazoo College, 1972)The report that follows the introduction includes a copy of the production simulation program that resulted from my work. Although it was never run using the real steroid network because of changes necessary in Mr. Kraska's ... 
Job Account: Program Translation, Input Logic, and Message Checks
(1973)For my Senior Independent Project, I wrote several computer programs for the Upjohn Pharmaceutical Company. The body of this report had been circulated at the Upjohn Company as three separate memos. 
Job Report: Internship at The Upjohn Company
(Kalamazoo College, 1974)Within the structure of the company, the Mathematical Services unit functions to some extent as a consultant. It is a unit to which other people bring problems which they themselves cannot solve. In this way, the unit ... 
Least Squares Fitting on an Integral Equation
(1980)The object was to develop an algorithm for calculating the optimal parameter values (A,B,fD) of an equation Y=AX(fn)+B, such that the change in the error was less than a predetermined amount. Different methods of fitting ... 
Lebesgue Measure
(Kalamazoo College, 1969)The main purpose of this paper is expository. It attempts to provide the reader with sufficient background in the Lebesgue measure theory so as to enable him to pursue the study of the Lebesgue integration theory. 
"Lebesque Measure:" An Introduction
(Kalamazoo College, 1969) 
A Lexicographic Analysis of Address Strings or Addressing the Problem of Losing Capitals
(Kalamazoo College, 1976)This SIP was first arranged in November, 1975 with Mr. Peter Dykema, the head of administrative computing for the College. The major objective of the project was to write a software routine for the College's newly acquired ... 
Linear Programming: The Simplex Method
(Kalamazoo College, 1974)My Senior Individualized Project consisted of a study of Modern and Linear Algebra; a course on Programming in Fortran, and the Study of Linear Programming which follows. 
Linear Programming: An introduction with emphasis on the cycling phenomenon of linear programming
(Kalamazoo College, 1964)It is the general intent of this thesis to, in the first part, develop and explain the procedure of Dantzig's simplex method in solving linear programming problems. The second part is devoted to an investigation into ... 
"lmprovamatics" A Math Enrichment Program at Hillside Middle School.
(Kalamazoo College, 2004)In order to help middle school students with their developing math skills and give them a connection to a Kalamazoo College student who has already been down the road they may travel, I decided to create a partnership ... 
lnsolvability of the Quintic via Galois Theory and Abel's Method
(Kalamazoo College, 1995)The main focus of my Senior Individualized Project was to study and examine a particular field of abstract algebra known as Galois Theory. Much of the project involved reading and studying lan Stewart's text, Galois Theory. ... 
Logic in Practice: ModelTheoretic Completeness
(Kalamazoo College, 1971)Model theory is unusual as a field where the abstract and ''impractical" machinery of logic has concrete applications. The abstract quality of logic lends a generality to model theory which is a real asset, allowing a ... 
A Logical Development of Arithmetic as Based on the Theories of Guiseppe Peano and Gottlob Frege
(Kalamazoo College, 1969)The search for a foundation from which all of mathematics can be developed through prescribed motions is a pursuit that in the past has always failed. Even while concepts today considered elementary were causing arguments ... 
LongRun Optimal Economic Growth: Turnpike Theorems
(Kalamazoo College, 1977)My paper is divided into four sections. The first three sections each deal with a growth model, its maximum growth path, and a Turnpike Theorem associated with1 this path, Section One deals with the von Neumann inputoutput ... 
LongTerm Ecological Research at the Kellogg Biological Station: An Internship with Applications of Time Series Analysis
(Kalamazoo College, 2002)My title at Kellogg Biological Station was "data analysis intern" where I worked under the supervision of the Data Manager, Tim Bergsma during the fall of 2001 (October through December). Generally I went every Monday ...