Browsing Mathematics Senior Individualized Projects by Title
Now showing items 127146 of 249

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 ... 
Machine Translation of German to English
(Kalamazoo College, 1967)The purpose of this study was to look into the possib1l1ties of translating oonversat1onal German sentences into English sentences. Some computers are capable of translating upwards of 50,000 words per hour, while ... 
The Mapper Algorithm for the Qualitative Analysis of Drug Molecules
(Kalamazoo College, 2015)The world of computational drug design has seen tremendous progress in the last 40 years. Most of these methods rely on quantitative techniques through quantitative structure activity relationships. This approach works ... 
Mathematical Aspects in the Freeway Merging Situation
(Kalamazoo College, 1967) 
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, ...