Browsing Mathematics Senior Individualized Projects by Title
Now showing items 2140 of 249

Code Generating Programs: Using the Computer to Instruct Itself
(Kalamazoo College, 1981)Asgrow Seeds, a subsidiary of the Upjohn Company, is a nationwide distributor of corn, sorghum and soybean seeds. In a continuing effort to improve the quality of their products Asgrow helps sponsor tests run by independent ... 
Combinatorial Optimization: The Traveling Salesman Problem
(Kalamazoo College, 1991)Optimization is the process of finding the best (or optimal) solution to a problem. For many realworld problems. there may be a large number of possible solutions, even an infinite number. Optimization seeks to find ... 
Communication Links to Superconputers: Automating the Distribution of Output
(Kalamazoo College, 1983)My SIP quarter was spent at Argonne National Laboratory as a participant in the Student Research Program. Argonne National Laboratory is a contract laboratory of the United States Department of Energy, located near Chicago. ... 
Commutativity of the Heisenberg Group
(Kalamazoo College, 2010)The Heisenberg group, named for Werner Heisenberg, is the group of upper triangular 3x3 matrices with ones down the diagonal. The group is not abelian, but shows many signs of"commutativity. It's center and commutator ... 
A Comparison of Three "New" High School FirstYear Algebra Courses
(Kalamazoo College, 1965)It is the intention of this thesis to compare the abovementioned curricula in the various areas that are covered in the firstyear algebra course. It shall also be shown how these new methods are superior to the ... 
A Comparison of Two "New Math" Geometry Texts and the Historical Development of their Foundations
(Kalamazoo College, 1967)The two "new math" texts which I am comparing in this paper are, The School Mathematics study Group (SMSG) high school geometry text, and the Ball State geometry text. I should qualify the use of "comparing", for I am ... 
Complex Behavior in a Nerve Conduction Model
(Kalamazoo College, 1993)The phenomenon of bursting oscillations, a behavior found in many biological and chemical systems, consists of complex periodic oscillations (active phases) separated by quasisteady states (silent phases). Many of the ... 
Computer Simulation of Weak Shock Propagation in a ShockTube
(1974)The purpose of this research was to become familiar with the iterative method and to apply this technique to further the understanding of the previous shocktube experiments. It was anticipated that the previous results ... 
The Conjugacy Classes of SL2 (IR)
(Kalamazoo College, 1998)This paper is the result of my participation in the Undergraduate Program of the 1998 Park City Mathematics Institute Summer Session, as well as my individual work with Dr. John Fink for the remainder of that summer. ... 
Connected Sums and Decompositions of Plane Curves
(Kalamazoo College, 2000)Despite recent advances, the problem of plane curve classification remains unsolved. One possible aid in classification would be to examine compositions and decompositions of curves. We use the connected sum action to do ... 
Construction of Convex Ideal Polyhedra in Hyperbolic 3Space
(Kalamazoo College, 2019)The purpose of this project is to provide a method to construct a convex ideal polyhedron in hyperbolic 3space given a set of internal dihedral angles that belong to a unique convex ideal polyhedron up to isometry. Thorough ... 
Continued Fraction Theory
(Kalamazoo College, 1970)I have divided this paper on the theory of continued actions into five sections. The first section consists of general basic theorems in the theory, many of which  in particular, theorem 1.1  are used throughout the ... 
Cost Versus Quality of Care: Hospitalists and Their Impact on Eight Diagnosis Related Groups
(Kalamazoo College, 2002)This study will attempt to analyze some of the quantitative differences between the inpatient management performance of hospitalists, primary care physicians, and teaching service physicians using several factors for ... 
Covering Theorems in the Alternating Group
(Kalamazoo College, 1978)It was shown by Ore [1951] that each element of A n, the alternating group on n letters, is a commutator, abalb1 for some a and b in S n. Xu (1965] went further and showed that, given an element a in A n then, given any ... 
Creation and Evaluation of Probability Models for March Madness
(Kalamazoo College, 2016)For years, the NCAA Tournament has fascinated fans due to its unexpected outcomes. For this reason, an accurate prediction of the tournament bracket is considered to be a very respectable accomplishment. As a result, ... 
Criticism of the Theory of Transfinite Numbers
(Kalamazoo College, 1970)This paper will attempt to deal with two aspects of Cantor's achievement. First it will give a brief survey of the theory of transfinite numbers, pointing out its use of the.axiom of choice which historically has been the ... 
Crystallographic Groups
(Kalamazoo College, 1969)My original purpose for this paper was to establish rigorously that there are seventeen and only seventeen crystallographic groups in the plane. I had hoped that by using the elegant sorting procedure outlined by ... 
Cubic Spline Analysis
(Kalamazoo College, 1993)The main focus of my Senior Individualized Project was to examine techniques of mathematical numerical analysis including iteration, interpolation, numerical integration and linear systems in preparation for The Society ... 
Cyclic Properties of Fibonacci Numbers
(Kalamazoo College, 1976)This paper is a summary of its author's attempts to explore various numbertheoretic properties of the Fibonacci numbers. This exploration was. conducted with virtually no use of published accounts of the subject. In this ... 
Data Science : The Data Tidying Process with R
(Kalamazoo College, 2018)An enormous amount of data is generated every day. All of this data can be analyzed using concepts from data science. Data science is the science of extracting information from a data set to gain knowledge (Nongxa, 2017). ...