Browsing Mathematics, Engineering and Computer Science Undergraduate Theses by Title
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Mathematics and Music: Integrating the World Wide Web into Today’s Education System
(19990401)In the global village, technology continually grows, enabling people to communicate, solve problems, and convey ideas. Students can benefit by using technological advances to enhance their education. The ultimate goal of ... 
Mathematics Education and Multiple Intelligences
(20070401)This thesis explores the utilization of Multiple Intelligences in the mathematics classroom. There are eight distinct multiple intelligences found in students. Each intelligence is unique and every student has a blend of ... 
Minimum Competency Testing: An Overview Of Testing Programs
(19810401)Probably the greatest alarm to the American Public concerning their education system came about with declining SAT and ACT test scores. The rash declines sparked the realization for the need to examine the school system. ... 
Mirror symmetry in black holes, elementary particles, and mathematics
(20170513)Mirror symmetry is the study of two seemingly different objects that are conjectured to be the same. That is, we could think of them as mirror images of each other. For example, string theorists conjecture that there exists ... 
Modeling Contaminant Flow in the Puget Sound
(20170513)In this paper, we mathematically model contaminant flow in a twodimensional domain of the Puget Sound using a finite element numerical solution to the advectiondiffusion equation coupled with a finite difference numerical ... 
Modeling Stellar Interiors of Zero Age Main Sequence Stars
(20070401)Studying aspects of nature unable to be measured or observed has been a problem in the field of astronomy. This study looks at the interiors of zeroage main sequence (ZAMS) stars and how they are studied, despite being ... 
Modeling the Flight of a Baseball
(19980401)America’s favorite pastime became my favorite sport at the age of nine. Listening to the roar of the fans, the crack of the bat, and the hum of the ball captured my heart. Every time I step on the field, my hearts starts ... 
Modeling Traffic Through Intersections
(20150401)This paper analyzes the effects traffic flow controllers, such as stop signs and stop lights, have on the flow of traffic through a 4way intersection. In particular, we investigate which controller (either using 2 stop ... 
More than one way to skin a cat: Interpolation techniques in onedimension
(20180401)In this paper, we discuss and develop several onedimensional interpolation techniques. Interpolation is a process for generating functions that pass through specified points in space. In general, given a set of points P ... 
Music: Helpful or Hindering?
(20140401)This study looked at the effects of playing music while students complete a quiz. 191 students from the Helena School District between the eighth and tenth grades took an assigned quiz either silently or while listening ... 
NP  Complete Problems, Turing Machines, And The Proof Of Cook's Theorem
(19900401)here exists a group of practical problems in computer science today for which no one has yet been able to find reasonable algorithmic solutions (those solvable in a reasonable amount of time), yet no one has been able to ... 
Optimizing Investment Portfolio Allocation
(20190401)This analysis presents a model that could be used to inform a portfolio manager in which sectors of the stock market to invest in for the equity portion of an investment portfolio. The model incorporates a linear program ... 
Plowing the Streets of Helena An Exploration of Algorithmic Solutions to Connected Graph Traversal Optimization
(20030401)Due to fierce winter conditions, Montana streets can become blocked with snow and ice. It is up to the snowplow operators to ensure the safety of travelers across the state by plowing and sanding roads before traffic becomes ... 
PredatorPrey Simulations
(20090401)Representing our reality is the goal of simulation for computer scientists. This is done for many reasons, but my reason is just to show I can abstract the fundamental attributes of animals in a system. I decided to take ... 
Predicting Chaotic Behavior in Electrical Circuits
(20190401)Chaotic behavior is a natural phenomenon that can be found all around us in our daily lives. This project is focused on analyzing the behavior in forced RLDiode (resistor, inductor, and diode) electrical circuits. We ... 
A Prime Look into the Field of Cryptography
(2020)Data encryption is vital in protecting the information that we send over the internet on a daily basis. This paper will explore two of the most commonly used public key encryption algorithms today: RSA and elliptic curve. ... 
Pulverized Pavement Performance Evaluation
(20080401)In the past 20 years, highway agencies began rehabilitating pavements using newer technologies such as pavement pulverization. On some roadways pulverization can be more cost effective and more environmentally friendly ... 
ReadBack Schemes for TwoDimensional Magnetic Recording
(20120401)This paper involves the pursuit of an optimal array of readback heads for improved track resolution in the presence of intertrack interference for highdensity magnetic media, moving towards 10 Terabits in:2 (10×10 in: ... 
Regression and Correlation Using R
(20060401)This thesis has three parts: an analysis of mountain lion data provided by Montana Department of Fish, Wildlife and Parks, a study of the strength of correlations with small data sets, and preparation of a beginner’s user ... 
Riemannian Geometry
(19650401)Mathematics enjoys special esteem above all the other sciences for several reasons. Its laws are absolutely certain and indisputable. This priority would not be momentous if the laws of mathematics referred only to objects ...