Browsing Mathematics, Engineering and Computer Science Undergraduate Theses by Title
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An Investigation of the use of Piezoceramics in an Energy Harvesting Flooring System as a Source of Alternative Energy
(20090401)The future and success of our country and economy are contingent on energy independence. This has sparked an interest in research concerning new and innovative forms of alternative energy production. With this new wave of ... 
An Overview of the Riemann Hypothesis
(20050401)The Riemann Hypothesis is probably the most famous unresolved problem in all of mathematics. While some unsolved problems in math can be stated and understood in a handful of lines, the Riemann Hypothesis requires a ... 
Analog Computers
(19650401)This thesis has been written with the intention that it will aid those students interest in the operation of the Heathkit Educational Electronic Analog Computer acquired by Carroll College in this year 1965 and which will ... 
Analysis of Magnetohydrodynamic Simulations of Convective Forces on Buoyant Flux Tubes in the Sun
(20050401)Buoyant flux tubes of magnetic energy in the sun rise through powerful and turbulent convection to penetrate the sun’s photosphere and produce sunspots. The question studied in this research paper is: How do magnetic flux ... 
Analyzing the Effects of Topography on HighAltitude Balloon Descent
(20160401)This project was developed to improve upon an experimentallybased descent prediction program for highaltitude balloon payloads at the Montana Space Grant Consortium’s Balloon Outreach, Research, Exploration And Landscape ... 
Application of Fractal Mathematics In Economics
(19940401)The notion of fractals was developed by Benoit Mandelbrot in the 1960's. He found that nature exhibits not simply a higher degree but an altogether different level of complexity. Nature shows fractal (selfsimilar) properties ... 
Application Of The Residue Theorem To Summation Of Series
(19870401)This paper will examine the application of the residue theorem to series solutions. It will begin with a statement of the residue theorem and then proceed to develop the tools and techniques necessary to allow its application. ... 
Applications of Network Flows
(20180401)Have you ever played a board game or a video game where you figured out the shortest path between two locations before moving? Or have you ever been following directions from Google Maps and noticed a red patch of slow ... 
Applications Of Permutations And Substitutions To Cryptography
(20040401)This honors thesis explores two different encrypting methods, permutations and substitutions, and how they are combined to form two famous cryptosystems, the Enigma and DES. Permutations and substitutions have been used ... 
Arrow Diameter: Is it the Key to Archery Success?
(20090401)A statistical analysis of the effects of arrow diameter on score was done in order to determine if having a larger arrow diameter would help to increase one’s score. To gather the data four different skill levels of archers ... 
Astronomy and Astrophysics: Stellar Formation and Evolution
(19750401)In writing this thesis, I have purposely divided it into two sections or volumes! (1) a mathematical introduction (2) a main body The Introduction is a small history of the change in astronomy and the mathematics and physics ... 
Basic Concepts In The Simplex Method Of Linear Programming
(19670401)Programming problems are concerned with the efficient use or allocation of limited resources to meet desired objectives. These problems are characterized by a large number of solutions that satisfy the basic conditions of ... 
Basic Concepts Of Finite Congruences
(19670401)Ever since the adveny of counting man has been toying with numbers. He soon learned that some numbers behaved differently than did others, and that different combinations of different numbers also produced different results. ... 
Burning Down the Cost: A Study to Optimize Wildfire Expenses
(20140401)The cost of wildfires has been climbing drastically. In 2012, the total estimated cost for Montana wildfire suppression was $113.5 million. The goal of this research was to see if it was mathematically possible to minimize ... 
Classifications of Electrical Resistance Distance in Simple Graphs
(20180401)In graph theory, there are multiple distance metrics which can describe the concept of “distance” between nodes on a simple graph and are of particular interest to researchers studying link prediction and network evolution. ... 
Confidence Intervals in a High School Statistics Class
(20160401)In order to be a functioning member of society, it is important that a citizen understands basic statistics. One key topic in particular is confidence intervals. There are confidence intervals in everyday life, no matter ... 
Creating Natural Landscapes With Fractal Geometry
(20030401)Video games are an integral pastime of current youths. Initially, popular video games were created in a twodimensional scene. As the field of computer technology has advanced, the ability to create realistic threedimensional ... 
Creating the Tools to Study Galaxy Evolution Through Examination of Properties of Dark Matter Halos
(20170513)We study dark matter galaxy halos found by Jared W. Coughlin while running the Amiga Halo Finder on the output of a modified GADGET 2 large scale simulation [5], [7], [6]. The neighborhood of the halos is defined at different ... 
Curves, Vectors, 1Forms, And Other Forms Expressed In Terms Of Pictorial, Abstract, And Components In Curved Space
(19750401)In this thesis, I will explain old and new views of curves, vectors, 1forms and tensors. These views will be expressed conceptually in terms of pictorial, abstract and component forms. I will use these techniques to express ... 
DataDriven Discovery of Ordinary Differential Equations
(20190401)We suggest that using datadriven methods on collected sensor data, we can recreate the ordinary differential equation. In this case we are applying data to find the ODE as opposed to deriving an ODE from basic principles. ...