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Physical Sciences and Mathematics Commons

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Liberty University

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2020

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Articles 1 - 13 of 13

Full-Text Articles in Physical Sciences and Mathematics

Impact Of Concept-Based Mathematics Instructional Strategies On Seventh Grade Student Achievement, Katherine Annette Lawley Ellsworth Nov 2020

Impact Of Concept-Based Mathematics Instructional Strategies On Seventh Grade Student Achievement, Katherine Annette Lawley Ellsworth

Doctoral Dissertations and Projects

In a nation with declining enrollment in college math courses, it is important to examine how mathematics is being taught in the K-12 education system and to identify best practices. The purpose of this study was to examine the impact concept-based instructional strategies has on middle school student achievement in mathematics when integrated into the traditional mathematics curriculum. Participants included 424 seventh grade students from two middle schools. Students Measures of Academic Progress (MAP) Fall-to-Winter data 2018 prior to implementation was used a covariate and Fall-to-Winter data 2019 data during the implementation of concept-based instructional strategies integrated into the traditional …


Creating A Culture Of Data-Driven Decision-Making, Kevin Bryan Rogers Sep 2020

Creating A Culture Of Data-Driven Decision-Making, Kevin Bryan Rogers

Doctoral Dissertations and Projects

Researchers have consistently shown that a supportive culture is one of the most crucial success factors in the implementation of any big data solution. Creating a culture that supports data-driven decision-making is a difficult but ultimately required step in transforming an organization into one that can readily and successfully adopt business intelligence technologies. The purpose of this qualitative case study was to understand the ways in which organizations can foster a culture of smarter decision-making and accountability so that businesses can improve operational metrics and ultimately profitability. Participants identified three major themes that drive the adoption of a data-driven culture. …


An Investigation Into The Molecular Dynamics Of The Laser Induced Dissociation Of 2-Bromoethanol, Kirk French Apr 2020

An Investigation Into The Molecular Dynamics Of The Laser Induced Dissociation Of 2-Bromoethanol, Kirk French

Senior Honors Theses

The unimolecular dissociation of 2-bromoethanol is investigated using computational chemistry methods both to test the reliability of the theories and methods of computational chemistry and to explore the internal mechanism of the dissociation. The dissociation of the bromine ion from 2-bromoethanol was experimentally observed in a previous publication by Ratliff et. al. These experimental results were compared in this thesis to computational calculations of their research. The method of TD-B3LYP proved to be inadequate in this venture except for the lowest energies of the most stable conformer of 2-bromoethanol. However, interesting mechanisms were found such as the formation of HBr …


Quantum Computing And Quantum Algorithms, Daniel Serban Apr 2020

Quantum Computing And Quantum Algorithms, Daniel Serban

Senior Honors Theses

The field of quantum computing and quantum algorithms is studied from the ground up. Qubits and their quantum-mechanical properties are discussed, followed by how they are transformed by quantum gates. From there, quantum algorithms are explored as well as the use of high-level quantum programming languages to implement them. One quantum algorithm is selected to be implemented in the Qiskit quantum programming language. The validity and success of the resulting computation is proven with matrix multiplication of the qubits and quantum gates involved.


Surveillance Of Microplastic Pollution In Central Virginia Freshwater Ecosystems, Alexandra Reddy Apr 2020

Surveillance Of Microplastic Pollution In Central Virginia Freshwater Ecosystems, Alexandra Reddy

Senior Honors Theses

Aquatic organisms often mistake microplastic particulates (MP) as food and inadvertently ingest the particulates, which can biomagnify through the food chain. While MP ingestion is well-researched in the marine environment, little is known about microplastics in freshwater  ecosystems. This project explores MP occurrence in an ecologically significant freshwater invertebrate: crayfish. Crayfish from two Central Virginia streams are collected to identify MP in the digestive tracts and gill filaments, and characterize the MP using analytical chemistry techniques. It was determined that MP were present in the digestive tracts and gill filaments of crayfish collected from both streams, and that MP frequency …


Personal Foul: How Head Trauma And The Insurance Industry Are Threatening Sports, Zachary Cooler Apr 2020

Personal Foul: How Head Trauma And The Insurance Industry Are Threatening Sports, Zachary Cooler

Senior Honors Theses

This thesis will investigate the growing problem of head trauma in contact sports like football, hockey, and soccer through medical studies, implications to the insurance industry, and ongoing litigation. The thesis will investigate medical studies that are finding more evidence to support the claim that contact sports players are more likely to receive head trauma symptoms such as memory loss, mood swings, and even Lou Gehrig’s disease in extreme cases. The thesis will also demonstrate that these medical symptoms and monetary losses from medical claims are convincing insurance companies to withdraw insurance coverage for sports leagues, which they are justifying …


Research And Review Of Polymethyl-Methacrylate Copolymers In The Development Of Enhanced Pharmaceutical Delivery Systems, Jake Dyess Apr 2020

Research And Review Of Polymethyl-Methacrylate Copolymers In The Development Of Enhanced Pharmaceutical Delivery Systems, Jake Dyess

Senior Honors Theses

The following thesis shall primarily explore the current research regarding the implementation of modifiable microscopic and nanoscopic polymer particles as novel pharmaceutical delivery systems. Polymethacrylate-based copolymers, such as EudragitTM, are sensitive to alterations in pH levels, becoming increasingly more soluble in response to an increase in pH. The selective solubility and modifiable nature of these polymers allows for greater flexibility of treatment options for patients (Patra et al., 2017). The wide range of functionality of polymethacrylate (PMA) may provide solutions to challenges relating to the current treatment and therapy of certain conditions. Research indicates that PMA based micro- …


Achieving Obfuscation Through Self-Modifying Code: A Theoretical Model, Heidi Waddell Apr 2020

Achieving Obfuscation Through Self-Modifying Code: A Theoretical Model, Heidi Waddell

Senior Honors Theses

With the extreme amount of data and software available on networks, the protection of online information is one of the most important tasks of this technological age. There is no such thing as safe computing, and it is inevitable that security breaches will occur. Thus, security professionals and practices focus on two areas: security, preventing a breach from occurring, and resiliency, minimizing the damages once a breach has occurred. One of the most important practices for adding resiliency to source code is through obfuscation, a method of re-writing the code to a form that is virtually unreadable. …


Local-Global Principles For Diophantine Equations, Benjamin Barham Apr 2020

Local-Global Principles For Diophantine Equations, Benjamin Barham

Senior Honors Theses

The real number field, denoted , is the most well-known extension field of ℚ, the field of rational numbers, but it is not the only one. For each prime p, there exists an extension field ℚp of ℚ, and these fields, known as the p-adic fields, have some properties substantially different from . In this paper, we construct the p-adic numbers from the ground up and discuss the local-global principle, which concerns connections between solutions of equations found in ℚ and in ℚp. We state the Hasse-Minkowski theorem, which addresses a type …


Applications Of Machine Learning To Threat Intelligence, Intrusion Detection And Malware, Charity Barker Apr 2020

Applications Of Machine Learning To Threat Intelligence, Intrusion Detection And Malware, Charity Barker

Senior Honors Theses

Artificial Intelligence (AI) and Machine Learning (ML) are emerging technologies with applications to many fields. This paper is a survey of use cases of ML for threat intelligence, intrusion detection, and malware analysis and detection. Threat intelligence, especially attack attribution, can benefit from the use of ML classification. False positives from rule-based intrusion detection systems can be reduced with the use of ML models. Malware analysis and classification can be made easier by developing ML frameworks to distill similarities between the malicious programs. Adversarial machine learning will also be discussed, because while ML can be used to solve problems or …


Gradual Program Analysis, Samuel Estep Apr 2020

Gradual Program Analysis, Samuel Estep

Senior Honors Theses

Dataflow analysis and gradual typing are both well-studied methods to gain information about computer programs in a finite amount of time. The gradual program analysis project seeks to combine those two techniques in order to gain the benefits of both. This thesis explores the background information necessary to understand gradual program analysis, and then briefly discusses the research itself, with reference to publication of work done so far. The background topics include essential aspects of programming language theory, such as syntax, semantics, and static typing; dataflow analysis concepts, such as abstract interpretation, semilattices, and fixpoint computations; and gradual typing theory, …


The Impact Of Departmentalized And Traditional Instructional Settings On Economically Disadvantaged Fourth Grade Students' Mathematical Proficiency, Elizabeth Courtney Medlock Mar 2020

The Impact Of Departmentalized And Traditional Instructional Settings On Economically Disadvantaged Fourth Grade Students' Mathematical Proficiency, Elizabeth Courtney Medlock

Doctoral Dissertations and Projects

All students must have opportunities to achieve high levels of mathematics learning, thus, organizational settings in the field of education should be carefully examined to determine the extent to which the instructional environment affects student achievement, growth, and application of grade level standards for students identified as economically disadvantaged. The purpose of this quantitative, causal-comparative study was to investigate differences in mathematical proficiency of economically disadvantaged fourth-grade students in departmentalized versus traditional instructional settings as measured by the 2019 Maryland PARCC mathematics assessment. A cluster sample of low-income fourth-grade students from 80 public elementary schools in a large, suburban school …


Codes, Cryptography, And The Mceliece Cryptosystem, Bethany Matsick Jan 2020

Codes, Cryptography, And The Mceliece Cryptosystem, Bethany Matsick

Senior Honors Theses

Over the past several decades, technology has continued to develop at an incredible rate, and the importance of properly securing information has increased significantly. While a variety of encryption schemes currently exist for this purpose, a number of them rely on problems, such as integer factorization, that are not resistant to quantum algorithms. With the reality of quantum computers approaching, it is critical that a quantum-resistant method of protecting information is found. After developing the proper background, we evaluate the potential of the McEliece cryptosystem for use in the post-quantum era by examining families of algebraic geometry codes that allow …