Browsing Mathematics Theses by Title
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[20090827] High performance damper optimization using computer simulation and design of experiments
Design of experiments has become an increasingly popular tool used by racing teams in professional motorsports. A race car has literally hundreds of adjustable parameters associated with it. Specialized racing engineers ... 
[20100219] Maintaining pathogens with short infectivity in seasonally structured tick populations: relative importance of three transmission pathways
Infectivity periods of different tickborne pathogens in host species can vary widely, and the variation affects how the pathogens are maintained in tick populations. In addition to systemic and vertical transmission, ... 
[20090827] The mathematics of the epicycloid : a historical journey with a modern perspective
The role of the epicycloid in both historical and mathematical contexts was studied through readings and research. Throughout history, circles have been considered perfect and thus very important shapes. Because epicycloids ... 
[20130130] Numerical simulation of traffic flow using a hydrodynamic model
We examine the solution to the system of partial differential equations for the transport and continuity equations. The model for our system of equations closely resembles the PayneWhitham model for traffic flow. The ... 
[20110701] Optimal control problems, curves of pursuit
We study a class of problems known as pursuitevasion problems (PE). These problems can be understood as special cases of optimal control problems. After describing the two main principles to study optimal control ... 
[20110207] Orthogonality and convergence of discrete Zernike polynomials
The Zernike polynomials are an inﬁnite set of orthogonal polynomials over the unit disk, which are rotationally invariant. They are frequently utilized in optics, opthal mology, and image recognition, among many other ... 
[20100903] Pell's Equation and nearly equilateral triangles
In this paper, we seek a family of triangles that have integer sides and integer area. We focus mainly on scalene triangles since it is impossible to have such triangles that are equilateral and isoceles triangles with ... 
[20100909] Quantifying uncertainty in reliability block diagrams
Reliability analysis yields statistically derived technical system performance estimates. Traditional reliability analysis employs classical statistical techniques predicated upon asymptotic properties of large data sets. ... 
[20100625] Spatial spread of infectious diseases
In this thesis we do a comparative study of diffusive models with nondiffusive models, looking at the effect movements in the form of simple diffusion have on the spreading of infectious diseases. This study is undertaken ... 
[20130130] Terrestrial and extraterrestrial radiation sources that move faster than light
Maxwell's equations establish that patterns of electric charges and currents can be animated to travel faster than the speed of light in vacuo and that these superluminal distribution patterns emit tightly focused ...