Browsing Mathematics, Engineering and Computer Science Undergraduate Theses by Title
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Terraforming Mars via Aerobraking an Asteroid
(20150401)Terraforming Mars is a tantalizing topic for the future of humanity. It has been estimated that an increase in temperature of about four degrees Kelvin would result in a runaway greenhouse effect on Mars, raising the ... 
The Complementary Nature Of Theology And Science: Fact Or Fiction?
(19940401)The traditional stereotype of historical conflict between scientific knowledge and religious belief has long ago been abandonedor so we are often assured. Unfortunately, those who assert this are wrong. The old stereotype ... 
The Development And Application Of Decision Theory Analysis
(19710401)Nearly everything a person does, every action taken, is the result of making a decision. With the exception of a few physiological actions, such as breathing, every action involves a decision, even though some are very ... 
The Importance Of Interpretation In Research Statistics: An Overview
(19710401)This paper was originally conceived of as a real research project, as a way of putting theoretical statistical knowledge to work in the area of real life. The author has access to a suitable population for study ... 
The Linear Fractional Transformation Of A Complex Variable: w=(az/b)/(cs/d)
(19640401)A complex number is represented in rectangular coordinates as x/iy, where x and y are real. It is also represented as r(cos e/i sin e) in polar coordinates, where r and e are real. r is called the absolute value, or modulus ... 
The Mathematics of Cryptography & Data Compression
(20120401)This honors thesis focuses on Cryptography, Data Compression, and the link between the two in modern applications. Beginning with the notion that a link could exist due to the similar structure of the general methods, ... 
The Minimum Letter Flip Problem for Haplotyping a Single Individual
(20060401)When haplotyping a single individual, DNA is replicated, broken into smaller fragments, and then sequenced by a machine. The minimum letter flip problem is one approach to correcting errors that arise in shotgun sequencing. ... 
The Ploidy Studies Of Ovarian Cancer: Searching For New Methods Of Diagnosis
(19980401)This paper stems from research information accumulated over the summer of 1997 on the topic of ovarian cancer. My role in this was statistical accumulation, computation, and initial analysis. The study appealed to me due ... 
The Relations Between Mathematics and Philosophy
(19340401)"The history of mathematics is one of the large windows through which the philosophic eye looks into past ages and traces the line of intellectual development." Thus does a prominent mathematician characterize the general ... 
The Response of a Multistory Building Structure to Seismic Ground Motion
(20000401)I used Mathematica, a computer algebra system, to write a program that models the response of a multistory building structure to seismic ground motion. The model uses a sinusoidal wave as the excitation, and includes viscous ... 
The Role of Math Modeling in the Common Core
(20140401)Mathematics education in the United States has been through many reforms, the latest of which is the Common Core State Standards Initiative. While many of the old standards are modifications of the existing standards, the ... 
The RSA Encryption System and the Factorization of Large Numbers
(20020401)The RSA System is built upon ideas that were previously published by other cryptographic experts. In 1976, a paper entitled "New Directions in Cryptography" was written and published by Martin Heilman and Whitfield Diffie. ... 
The Schrodinger Equation: Origins and Numerical Solutions
(20060401)The classical laws ofmotion and Newtonian thought met considerable opposition in the late 1800s and early 1900s as a result of several observations that were inexplicable by then current means. Several breakthroughs were ... 
The Separation of a TwoNanosatellite System via Differential Drag
(20110401)Small nanosatellites (1 to 10 kg), with their low production costs and unique mission strategy possibilities, can be inexpensively deployed in groups to maximize scientific returns. The Space Science and Engineering ... 
The Shape of Disease: Applying geometric data analysis and other methods to time series survey data
(20180401)In this thesis we examine household survey responses to Owner Questions collected in the vaccination zone of the Serengeti Health Initiative and the surrounding region through statistical methods from epidemiology, such ... 
The Singular Solution Of Differential Equations
(19320401)In the latter half of the seventeenth century Sir Isaac Newton, eminent mathematician and physicist, developed his theory of Fluxions, treating with the subject by which he is probably best known. The Calculus, as the ... 
The Teaching Of Trigonometry In The Secondary School
(19570401)It is my purpose in the writing of this thesis to give reasons for the teaching of trigonometry in the high school; give a short history of trigonometry and show the importance that trigonometry has played in the world; ... 
The Traveling Salesperson Problem: A Look At NPCompleteness and Methods For Finding Solutions
(20020401)Finding an efficient algorithm for solving NPComplete problems has long been a goal of computer scientists and mathematicians. The purpose of this paper is to examine existing heuristics (approximate algorithms) and to ... 
The Use Of A Computer As A Teaching Device For Certain Concepts Of The Calculus
(19750401)Many concepts involved In the calculus can be presented in a nore obvious Banner by the use of a computer. So much of the calculus involves many very small values that become tedious for a beginning student to calculate. ... 
The Use Of Handson Models In The Teaching Of Geometry In The High School Classroom
(19900401)“How can students compete in a mathematical society when they leave school knowing so little mathematics?” This quote is taken from Everybody Counts: A Report to the Nation on the Future of Mathematics Education, and sums ...