Browsing Mathematics, Engineering and Computer Science Undergraduate Theses by Title
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Leaking Underground Storage Tank Impact Model
(20190401)Leaking underground storage tanks (UST) pose a threat to the surrounding environment and population. The Montana Department of Environmental Quality (MT DEQ) has completed two phases of a risk analysis with the purpose of ... 
Logic Puzzle
(20020401)Logic is a fundamental part of mathematic and computer science since it is the basis of mathematical proof and computer programming. In order to help students gain a better understanding of logic, I have implemented a ... 
Markov Modeling of A Maintenance Facility
(20060401)Reallife decisions often need to take into account uncertainties about many future events. There are various models for processes that evolve over time in a probabilistic manner. Such processes are called stochastic ... 
Mathematica Outside the Lab: Transferring Classroom Material onto the World Wide Web
(20020401)The Internet has greatly expanded over the last decade, yet there are few options for people wishing to create interactive Web pages that can perform computations and neatly format mathematical expressions. Many educators ... 
A Mathematical Analysis of Scheduling for AWARE
(2020)AWARE is a nonpro t organization that provides care and services for people with challenging mental health, emotional, and in some instances, physical disabilities [1]. Many of the clients in AWARE residential programs ... 
Mathematical And Physical Aspects Of Heat Conduction Between A Rod And A Sleeve Of Similar Material And Infinite Length
(19790401)The modern world has experienced an increase in the applications of mathematics to physical activity. Many physical conditions can be described in terms of partial differential equations, which result in industrial ... 
Mathematics and Electricity Modeling with an RLC Circuit
(20070401)Electric circuits can be useful outside of electronics. For example, an electric circuit can be used to model a mechanical mechanism such as a car’s suspension. This is possible because like an RLC circuit, a circuit with ... 
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 ...