Browsing Mathematics, Engineering and Computer Science Undergraduate Theses by Title
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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 ... 
There Are 10 Kinds of Problems in the World: Those That Are Binary and Those That Aren’t
(20060401)Binary integer programming is a class of algorithms that are used to solve problems where we have several yes/no decisions, along with some constraints on which decisions we can make and a value associated with each decision. ... 
Topological Data Analysis: Giving Data Shape
(20170513)Topological Data Analysis (TDA) combines topology and data analytics which offers a new perspective when analyzing data. More so, TDA is capable of providing shape to data that otherwise may be difficult to visualize. In ... 
Topological Spaces and Jordan's Theorem
(19640401)What is topology? What is it based upon and what can I relate it to that I already know? These and many other questions were asked by those who attended the lecture given by J. Eldon Whitesitt, a guest lecturer from Montana ... 
Traveling Wave Excitation of Soft XRay Lasers
(20080401)This paper details the design and alignment of a specialized mirror that is to be used in the focusing system of a highpowered YtterbiumYttrium Aluminum Garnet (YbYAG) laser system. The laser system will be used in ... 
Trigonometric Fourier Series
(19650401)A function f(x) is called periodic if there exists a constant T > o for which f(x+T)=f(x) for any x. The constant T is called the period of the function f(x). The most familiar periodic functions are sin x, cos x, tan x, ... 
Turing Patterns and Butterfly Wings
(20150401)Butterfly wings consist of many patterns and every species has its own combination of patterns to make their wings unique. However, every possible pattern is derived from a common blueprint called a nymphalid groundplan. ... 
Un Gran Viaje A Data Visualization of Latin American Immigration
(2021)The story of the Latin American immigrant making their "gran viaje" or great journey to the United States transcends conversations presented in news articles and political rhetoric. Immigration trends, both past and present, ... 
Uncertainties in Performance Estimates Of Reinforced Concrete Columns
(20000401)I assembled a reinforced concrete column test database and describe its layout. This database can be used by researchers and practicing engineers to establish the magnitudes of uncertainties involved in performance estimates ... 
Uncertainty Calculation for Complex Measurements
(20050401)Propagations of errors, or uncertainties, can be computed in different ways. The ISO Guide to the Expression of Uncertainty in Measurement (GUM) recommends an estimate based on a firstorder Taylor series expansion of the ... 
Understanding the Mathematics Behind Cryptography
(2021)Today the internet is being used more than ever in order to store, transfer and access information. As a result, our private information is vulnerable to malicious parties who wish to use it for their own personal benefit. ...