Browsing Mathematics, Engineering and Computer Science Undergraduate Theses by Title
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A Comparison of the Discrete Fourier Transform and Wavelet Decompositions of a Function
(19950401)Scientists like analyzing complex phenomena. The most common way is to break them into simple pieces. Since the properties of those simple pieces are well understood, the combination of these properties can help them ... 
A Computer Model For Airfoils With Moving Surface BoundaryLayer Control
(19950401)One method that is used to enhance airplane safety and performance is to use moving surfaces on wings to increase lift. A modification of the panel method is used to model airfoils which incorporate moving surface ... 
A Direct Numerical Simulation of a Computational Fluid Dynamics Application Using the NavierStokes Equations and Finite Differences
(20090401)When engineers design objects that interact with fluids, they must spend a considerable amount of time understanding the relationship between the fluid and the object. One method is to perform scale tests that involve a ... 
A Dynamic Programming Approach to Sequence Alignments
(20120401)Using a created a program in MatLab, several amino acid sequences can be aligned with one another so they can be examined for biological significance. Sequence alignments are used to determine similarities in proteins and ... 
A Look into Railgun Physics and Design
(20110401)Railguns promise to make space travel and weapons systems much more efficient for the future. I conducted a project to skim the surface of railgun physics and design. I first started by constructing a small railgun as a ... 
A Mathematical Analysis of Wavelet Theory and Applications to Sound Filtering, 2Dimensional Image Compression, and Continuous Feed Image Compression
(20030401)In today’s world of information technology there is a heavy emphasis upon the efficiency and speed of computers. With this new age, an abundance of new methods have emerged attempting to save time and computer space by ... 
A Mathematical Model of How Smallpox Can Be Used as a Biological Weapon
(20010401)This thesis focuses on why smallpox is considered as a possible biological weapon and why the world needs to be aware of its existence in the laboratories. The models are based on how smallpox affected the Native American ... 
A Numerical Model of the Subaerial Landslide Generated Waves of the Berkeley Pit
(20190401)Southwestern Montana has a very rich history because of its mining activities. Butte, home to the richest hill on earth, is no exception. Underground operations resulted in 10,000 miles of horizontal underground workings ... 
A Theory And Development Of Quotient Rings
(19700401)The purpose of this paper is a logical and clear development of the concept of quotient rings. The development will begin with the concept of groups and quotient groups, followed by discussions of rings, modular quotient ... 
An Analysis Of Resonant Frequencies For A Hanging Chain Of Variable Masses
(19760401)The thesis problem finds its roots in wave mechanics. Ex amine a hanging chain of vibrating rods, each of length r, as illustrated on the previous page. Although the individual lengths of the rods are the same the individual ... 
An Experiment to Measure Transport Parameters in a Saturated Heterogeneous Scaled Medium
(19950401)One of the major difficulties in groundwater research is determining an appropriate scale at which to conduct an experiment. Because of a phenomenon called the scale effect, measured values of parameters in heterogeneous ... 
An Exploration of Quadratic Residues in Finite Fields
(20140401)If an element in a given field can be expressed as a product of two equivalent elements that are also in the field, then this element is a quadratic residue of that field. For example, the set of quadratic residues of the ... 
An Integer Programming Model for Carroll College Math Department Scheduling
(20010401)Each semester, Carroll College department heads spend hours developing course schedules by hand. Once registration begins, class conflicts arise, and a significant amount of time is spent attempting to alter the schedules ... 
An Interesting Opportunity: The Gilbreath Conjecture
(20120401)Unsolved mathematical conjectures are a rich source of more than just frustration. By looking at the Gilbreath conjecture (unproven since 1878), we explore the learning opportunities that these unsolved problems present. ... 
An Introduction to Complex Analysis
(19730401)The purpose of this paper is to present an introductory survey of the basic ideas and concepts which form a foundation for the analytic study of the singlevalued functions of a complex variable. In no way does it purport ... 
An Introduction To Monte Carlo Methods Of Numerical Analysis
(19890401)his paper will trace the history and development of a useful stochastic method for approximating certain analytically intractable integrals, the Monte Carlo method. It will begin with simple explanations and examples of ... 
An Introduction To Solvable, Supersolvable, And Nilpotent Groups
(19740401)Solvability and nilpotence form the core of this work. Appropriate to the undergraduate level, it begins with a review of the basic results of a first course in abstract algebra. These are extended to the Sylow Theorems, ... 
An Introduction to the Lagrangian Method of Dynamics and its Application to Particle and Rigid Body Problems
(19840401)On January 25, 1736 JosephLouis Lagrange was born in the Italian city of Turin to a welltodo family. "Lagrange's father, once the Treasurer of War for Sardinia, married MarieTherese Gros, the only daughter of a wealthy ... 
An Introduction To The Theory Of Nonstandard Analysis
(19830401)For over a century, the calculus has been understood via the limit process developed by Cauchy and Weierstrass. The deltaepsilon process of limits is always a new and usually confusing concept to the firstyear calculus ... 
An Investigation into Nuclear Fusion Energy Through the 2D Numerical Simulation of MHD Instabilities
(20160401)We have studied a tokamak’s fusing medium, plasma, through a computational study of the magnetohydrodynamic equations. Throughout this study we have analyzed many plasma characteristics, like magnetic tension and compression, ...