Quantitative Literacy And Civic Virtue, 2018 University of Colorado, Denver

#### Quantitative Literacy And Civic Virtue, William Briggs

*Numeracy*

Mathematics educators are occasionally called upon to justify the existence or the offering of quantitative literacy courses. This paper argues that effective quantitative literacy courses have different goals than algebra courses and are legitimate alternatives to algebra courses for non-STEM students. Furthermore, quantitative literacy courses affirm the historic relationship between citizenship and education. In today’s world of proliferating news sources, social media, and fake news, quantitative literacy has become an essential component of the long-held ideal of civic virtue.

Elements Of Calculus 1, 2018 CUNY City College

Algorithmic Trading With Prior Information, 2018 Washington University in St. Louis

#### Algorithmic Trading With Prior Information, Xinyi Cai

*Arts & Sciences Electronic Theses and Dissertations*

Traders utilize strategies by using a mix of market and limit orders to generate profits. There are different types of traders in the market, some have prior information and can learn from changes in prices to tweak her trading strategy continuously(Informed Traders), some have no prior information but can learn(Uninformed Learners), and some have no prior information and cannot learn(Uninformed Traders). In this thesis. Alvaro C, Sebastian J and Damir K \cite{AL} proposed a model for algorithmic traders to access the impact of dynamic learning in profit and loss in 2014. The traders can employ the ...

Developmental Mathematics: A Quantitative Investigation Of Instructor Classification As Related To Student Success, 2018 Stephen F Austin State University

#### Developmental Mathematics: A Quantitative Investigation Of Instructor Classification As Related To Student Success, Brittany A. Fish

*Electronic Theses and Dissertations*

The purpose of this quantitative study was to examine what type of predictive power exists between an instructor’s employment classification, student gender, student race, and first-generation status on a student’s academic success in developmental mathematics, as measured by final semester grades at a regionally comprehensive state university in Texas between fall 2013 and spring 2017. Data were collected from the institution under study and the sample population included 1932 unique student observations. The data collected in this study were analyzed through a binary logistic regression model to determine whether an instructor’s employment classification, student gender, student race ...

Examples Of Solving The Wave Equation In The Hyperbolic Plane, 2018 Liberty University

#### Examples Of Solving The Wave Equation In The Hyperbolic Plane, Cooper Ramsey

*Senior Honors Theses*

The complex numbers have proven themselves immensely useful in physics, mathematics, and engineering. One useful tool of the complex numbers is the method of conformal mapping which is used to solve various problems in physics and engineering that involved Laplace’s equation. Following the work done by Dr. James Cook, the complex numbers are replaced with associative real algebras. This paper focuses on another algebra, the hyperbolic numbers. A solution method like conformal mapping is developed with solutions to the one-dimensional wave equation. Applications of this solution method revolve around engineering and physics problems involving the propagation of waves. To ...

Italian Domination In Complementary Prisms, 2018 East Tennessee State University

#### Italian Domination In Complementary Prisms, Haley D. Russell

*Electronic Theses and Dissertations*

Let $G$ be any graph and let $\overline{G}$ be its complement. The complementary prism of $G$ is formed from the disjoint union of a graph $G$ and its complement $\overline{G}$ by adding the edges of a perfect matching between the corresponding vertices of $G$ and $\overline{G}$. An Italian dominating function on a graph $G$ is a function such that $f \, : \, V \to \{ 0,1,2 \}$ and for each vertex $v \in V$ for which $f(v)=0$, it holds that $\sum_{u \in N(v)} f(u) \geq 2$. The weight of an Italian dominating function is ...

Nonassociative Right Hoops, 2018 Chapman University

#### Nonassociative Right Hoops, Peter Jipsen, Michael Kinyon

*Mathematics, Physics, and Computer Science Faculty Articles and Research*

The class of nonassociative right hoops, or narhoops for short, is defined as a subclass of right-residuated magmas, and is shown to be a variety. These algebras generalize both right quasigroups and right hoops, and we characterize the subvarieties in which the operation x ^^ y = (x/y)y is associative and/or commutative. Narhoops with a left unit are proved to be integral if and only if ^ is commutative, and their congruences are determined by the equivalence class of the left unit. We also prove that the four identities defining narhoops are independent.

Coincidence Of Bargaining Solutions And Rationalizability In Epistemic Games, 2018 The Graduate Center, City University of New York

#### Coincidence Of Bargaining Solutions And Rationalizability In Epistemic Games, Todd Stambaugh

*All Dissertations, Theses, and Capstone Projects*

**Chapter 1**: In 1950, John Nash proposed the Bargaining Problem, for which a solution is a function that assigns to each space of possible utility assignments a single point in the space, in some sense representing the ’fair’ deal for the agents involved. Nash provided a solution of his own, and several others have been presented since then, including a notable solution by Ehud Kalai and Meir Smorodinsky. In chapter 1, a complete account is given for the conditions under which the two solutions will coincide for two player bargaining scenarios.

**Chapter 2**: In the same year, Nash presented one ...

Supporting English Language Learners Inside The Mathematics Classroom: One Teacher’S Unique Perspective Working With Students During Their First Years In America, 2018 University of Nebraska - Lincoln

#### Supporting English Language Learners Inside The Mathematics Classroom: One Teacher’S Unique Perspective Working With Students During Their First Years In America, Amy Marie Fendrick

*Research and Evaluation in Literacy and Technology*

Reflecting upon my personal experiences teaching mathematics to English Language Learners (ELL) in a public high school in Lincoln, Nebraska, this essay largely focuses on the time I spent as the only Accelerated Math teacher in my school building. From 2012 – 2017, I taught three different subjects at this high school: Advanced Algebra, Algebra, and Accelerated Math. This essay highlights why I chose to become a math and ELL teacher, as well as the challenges, issues, struggles, and successes I experienced during my time teaching. I focus on the challenges I faced teaching students who did not share my native ...

On Coding For Partial Erasure Channels, 2018 University of Nebraska - Lincoln

#### On Coding For Partial Erasure Channels, Carolyn Mayer

*Dissertations, Theses, and Student Research Papers in Mathematics*

Error correcting codes have been essential to the technology we use in everyday life in digital storage, wireless communication, barcodes, and much more. Different channel models are used for different types of communication (for example, if information is sent to one person or to many people) and different types of errors. Partial erasure channels were recently introduced to model applications in which some information remains after an erasure event. These remnants of information may be used to increase the chances of successful decoding. We introduce a new partial erasure channel in which partial erasures correspond to individual bit erasures in ...

Classifications Of Resistance Distances In Simple Graphs, 2018 Carroll College

#### Classifications Of Resistance Distances In Simple Graphs, Marcellus Randall

*Carroll College Student Undergraduate Research Festival*

Within graph theory, there are multiple distance metrics which can describe the concept of “distance” between nodes on a simple graph, which are of particular interest to researchers studying link prediction and network evolution. This talk will focus on the relationship between measures of distance in simple graphs and various features of these graphs. I will discuss classifying graphs in which any edge resistance is greater than any non-edge resistance, using Katz centrality scores and classical graph theoretical features.

Correlations Of Co2 Levels, 2018 Murray State University

#### Correlations Of Co2 Levels, Brittney Nelson

*Scholars Week*

This project looks at the correlation between CO2 levels and human influences as well as the correlation between CO2 levels and global temperatures.

Cayley Graphs Of Psl(2) Over Finite Commutative Rings, 2018 Western Kentucky University

#### Cayley Graphs Of Psl(2) Over Finite Commutative Rings, Kathleen Bell

*Masters Theses & Specialist Projects*

Hadwiger's conjecture is one of the deepest open questions in graph theory, and Cayley graphs are an applicable and useful subtopic of algebra.

Chapter 1 will introduce Hadwiger's conjecture and Cayley graphs, providing a summary of background information on those topics, and continuing by introducing our problem. Chapter 2 will provide necessary definitions. Chapter 3 will give a brief survey of background information and of the existing literature on Hadwiger's conjecture, Hamiltonicity, and the isoperimetric number; in this chapter we will explore what cases are already shown and what the most recent results are. Chapter 4 will ...

New Contributions To Semipositive And Minimally Semipositive Matrices, 2018 Indian Institute of Technology - Madras

#### New Contributions To Semipositive And Minimally Semipositive Matrices, Projesh Nath Choudhury, Rajesh M. Kannan, K. C. Sivakumar

*Electronic Journal of Linear Algebra*

Semipositive matrices (matrices that map at least one nonnegative vector to a positive vector) and minimally semipositive matrices (semipositive matrices whose no column-deleted submatrix is semipositive) are well studied in matrix theory. In this article, this notion is revisited and new results are presented. It is shown that the set of all $m \times n$ minimally semipositive matrices contains a basis for the linear space of all $m \times n$ matrices. Apart from considerations involving principal pivot transforms and the Schur complement, results on semipositivity and/or minimal semipositivity for the following classes of matrices are presented: intervals of rectangular ...

Essentials Of Structural Equation Modeling, 2018 Istanbul Commerce University

#### Essentials Of Structural Equation Modeling, Mustafa Emre Civelek

*Zea E-Books*

Structural Equation Modeling is a statistical method increasingly used in scientific studies in the fields of Social Sciences. It is currently a preferred analysis method, especially in doctoral dissertations and academic researches. However, since many universities do not include this method in the curriculum of undergraduate and graduate courses, students and scholars try to solve the problems they encounter by using various books and internet resources.

This book aims to guide the researcher who wants to use this method in a way that is free from math expressions. It teaches the steps of a research program using structured equality modeling ...

Building A Better Risk Prevention Model, 2018 Houston County Schools

#### Building A Better Risk Prevention Model, Steven Hornyak

*National Youth-At-Risk Conference Savannah*

This presentation chronicles the work of Houston County Schools in developing a risk prevention model built on more than ten years of longitudinal student data. In its second year of implementation, Houston At-Risk Profiles (HARP), has proven effective in identifying those students most in need of support and linking them to interventions and supports that lead to improved outcomes and significantly reduces the risk of failure.

Design And Analysis Of Graph-Based Codes Using Algebraic Lifts And Decoding Networks, 2018 University of Nebraska - Lincoln

#### Design And Analysis Of Graph-Based Codes Using Algebraic Lifts And Decoding Networks, Allison Beemer

*Dissertations, Theses, and Student Research Papers in Mathematics*

Error-correcting codes seek to address the problem of transmitting information efficiently and reliably across noisy channels. Among the most competitive codes developed in the last 70 years are low-density parity-check (LDPC) codes, a class of codes whose structure may be represented by sparse bipartite graphs. In addition to having the potential to be capacity-approaching, LDPC codes offer the significant practical advantage of low-complexity graph-based decoding algorithms. Graphical substructures called trapping sets, absorbing sets, and stopping sets characterize failure of these algorithms at high signal-to-noise ratios. This dissertation focuses on code design for and analysis of iterative graph-based message-passing decoders. The ...

Theoretical Analysis Of Nonlinear Differential Equations, 2018 Stephen F Austin State University

#### Theoretical Analysis Of Nonlinear Differential Equations, Emily Jean Weymier

*Electronic Theses and Dissertations*

Nonlinear differential equations arise as mathematical models of various phenomena. Here, various methods of solving and approximating linear and nonlinear differential equations are examined. Since analytical solutions to nonlinear differential equations are rare and difficult to determine, approximation methods have been developed. Initial and boundary value problems will be discussed. Several linear and nonlinear techniques to approximate or solve the linear or nonlinear problems are demonstrated. Regular and singular perturbation theory and Magnus expansions are our particular focus. Each section offers several examples to show how each technique is implemented along with the use of visuals to demonstrate the accuracy ...

Gradual Homicide, 2018 SIGMAA ARTS

#### Gradual Homicide, Jack Ritter

*Journal of Humanistic Mathematics*

A mathematical poem about asymptotic treachery.

Some Applications Of Sophisticated Mathematics To Randomized Computing, 2018 Selected Works

#### Some Applications Of Sophisticated Mathematics To Randomized Computing, Ronald I. Greenberg

*Ronald Greenberg*

No abstract provided.