Browsing Mathematics Senior Individualized Projects by Title
Now showing items 99118 of 244

In the Land of Linear Algebra : A Cartoon Coursepack
(Kalamazoo College, 20121212)A coursepack, in cartoon form, to supplement any introductory linear algebra course or textbook. 
Infinity
(Kalamazoo College, 1971)In this paper we will trace the changing notion of infln1ty throughout Western thought. In the first part ideas from both mathematics and philosophy wl11 be brought together, for often in discussions on infinity the ... 
Information Theory
(Kalamazoo College, 1967)This is a purely expository paper. The concepts come primarily from Shannon's intuitionbased proofs and Khinchlo's more rigorous ones; all definitions come from these sources. Intermediate steps and some short proofs ... 
Information Theory and the Genetic Code
(Kalamazoo College, 196804)Every organism is built from a complex set of instructions coded as a sequence of the four different nuoleotides of the DNA molecule. These genetic instructions have evolved for a period of three billion years until today ... 
Inpatient Revenue Model of Bronson Methodist Hospital
(Kalamazoo College, 1975)The revenue model of the hospital is a collection of computer programs which is designed to enable a prediction to be made concernng inpatient revenues on the bases of a patient mix for the period being considered and ... 
Input Output Economics: Studies of Leontief's Mathematic / Economic Models
(Kalamazoo College, 1991)The inputoutput model may be used to predict the economic future. With just two or three educated guesses to modify the technical tables of the model, reasonably accurate results about the future may be found. Although ... 
The International Marketing Promotion Allocation Workshop: An Internship at The Upjohn Company
(Kalamazoo College, 1984)My project while at Upjohn was to design a computer simulation game for Ian Stockdale, Hospital Marketing Manager, and David Harmelink, Product Manager, of the International Marketing Planning unit. The game is basically ... 
Internship Report on the CaltechJPL Concurrent Computation Project
(Kalamazoo College, 1985)During the fall quarter of 1985 I worked at Jet Propulsion Laboratory (JPL) as a computer technician. In my section there were both 'hardware people' and 'software people'. I fell into the latter category. During my ... 
Introduction to Complex Analysis
(Kalamazoo College, 1974)This paper covers all material in the first twothirds of the yearlong course in basic complex variables taught by Dr. Stoll at the University of Notre Dame. It was wrltten from two sets of lecture notes: one set written ... 
An Introduction to Nonstandard Analysis
(Kalamazoo College, 1996) 
An Introduction to Polynomial Approximation Theory
(Kalamazoo College, 1970)This is not meant to be original work. On the contrary, I have drawn very heavily from my source material. I first read the chapter in Apostol's book on numerical analysis to get a good background in approximation ... 
An Introduction to SAS Programming
(Kalamazoo College, 2000)The author used SAS (Statistical Analysis System) software to analyze the data found in the University of Michigan's Interuniversity Consortium for Political and Social Research (ICPSR) study entitled Violence And Threats ... 
An Introduction to the Mathematical Theory of Linear Programming
(Kalamazoo College, 1964)This paper is an attempt to provide a relatively selfcontained and basic mathematical justification for the LP problem and the simplex method of solving it. The first two parts of the paper outline the aspects of the ... 
An Introduction to the Statistical Bootstrap : Examining Confidence Intervals Using Flight Delay Data
(Kalamazoo College, 2017)Bootstrapping is an important resampling method with the ability to provide statistical inference with fewer assumptions then most other statistical inference methods. Bootstrapping can be more accurate than classical ... 
Introduction to the Theory of Games: Finite ZeroSum Two Person Games
(Kalamazoo College, 1968)The intent of this paper is to present an introduction to the theory of matrix games, with particular emphasis on the different approaches to the solution of such games. Although I have rearranged material and ... 
An Introductory Study of Hyperbolic Geometry
(Kalamazoo College, 1965)The object of this paper is to develop Hyperbolic geometry using, as tools, only the postulates and propositions of Euclid (excluding the ones dealing with parallel lines) and the tools of logic. To the best of my ... 
The Intuitionist Reconstruction of Mathematics
(Kalamazoo College, 1966)The intent of this paper is to indicate some of the ways in which mathematics may be developed under intuitionist requirements. In Chapter 2, real numbers are developed informally, following Heyting 1956. In later chapters ... 
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 ...