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Elliptic Curve Cryptography, Kerrie Pratt
Elliptic Curve Cryptography, Kerrie Pratt
Honors Program Theses and Projects
In the present day, security is essential for sending and receiving information. There are always stories about bank accounts being hacked, credit card numbers being stolen, and secret information being decoded. With the technology of the Internet age growing at a rapid pace, security is essential to keep privileged information safe. In order to ensure this information is kept private, so that information can be sent and received without being hacked and decoded, organizations employ different types of encryption. One of the current encoding systems is Elliptic Curve Cryptography (ECC). ECC uses elliptic curves over finite fields to send information …
Deriving The Dyer-Roeder Equation From The Geodesic Deviation Equation Via The Newman Penrose Null Tetrad, Aly Aly
Honors Program Theses and Projects
In this paper we examine the geodesic deviation equation using the Newman-Penrose (N-P) formalism for a flat Friedmann-Lemaitre-Robertson-Walker (FLRW) metric (Carroll, S. (2004); Ryden, B. (2003); Newman & Penrose (1962)). We solved the geodesic deviation equation for angular diameter distance, using the relevant N-P components, and the resulting expression was the Dyer-Roeder equation of cosmology (Ryden, B. (2003)) (Schneider et al. (1992)). This leads us to believe that we can apply the N-P formalism to a perturbed FLRW metric and find a solvable equation for angular diameter distance (Kling & Campbell (2008)). The perturbed FLRW metric incorporates clumps of matter …
A Statistical Analysis Of The Role Of Critical-Thinking Games In College Students' Quantitative Reasoning, Melissa Radevicz
A Statistical Analysis Of The Role Of Critical-Thinking Games In College Students' Quantitative Reasoning, Melissa Radevicz
Honors Program Theses and Projects
Improving college students' quantitative reasoning is crucial to increase STEM-field retention rates. The National Survey of Student Engagement (NSSE), results indicate that "college students don't always get exposure to activities that develop [quantitative reasoning]" (Berrett & Sander, 2013). This study aimed to engage college students in quantitative reasoning through critical-thinking games. Phase 1, conducted in summer 2014 with a university research grant, involved a correlation analysis of the work of 133 college students enrolled in Elementary Statistics I, Chemical Principles II, Elements of Calculus, Pre-Calculus with Trigonometry, Multivariable Calculus, and Differential Equations. Participants held a variety of 39 different majors, …
Dynamics Of Climate Change: Explaining Glacier Retreat Mathematically, Robert Guillette
Dynamics Of Climate Change: Explaining Glacier Retreat Mathematically, Robert Guillette
Honors Program Theses and Projects
No abstract provided.