Digital Commons Network^™

Lagrange's Interpolation, Chinese Remainder, And Linear Equations, Jesús Jiménez

ACMS Conference Proceedings 2019

Consider a finite set of points {(x1, y1), (x2, y2), . . . , (xk , yk )} in R2. The Lagrange’s interpolation problem is to find a polynomial p(x) of degree k − 1 satisfying p(xi) = yi for 1 ≤ i ≤ k. We will recall the solution to Lagrange’s interpolation problems as an instance of the Chinese Remainder Theorem. Next, we will show that a similar approach can be used to construct solutions to a system of linear equations.

Addressing Challenges In Creating Math Presentations, David Schweitzer

ACMS Conference Proceedings 2019

When it comes to composing presentation slides with extensive mathematical content, each of the slide creation platforms has at least one significant drawback. Whether it is Beamer and its steep learning curve, PowerPoint and its relative inefficiency with math, Google Slides and its complete lack of math capabilities, or some other platform, no one tool single-handedly offers an ideal solution. Additionally, if users desire creative flexibility, such as the ability to easily change fonts or colors, the platforms’ respective limitations can become even more pronounced. In a project that has been well suited for undergraduate research, the presenter and his …

Overcoming Stereotypes Through A Liberal Arts Math Course, Jessica Hamm

ACMS Conference Proceedings 2019

"I'm just not a math person.” We’ve heard this comment countless times from our students. It is a mentality that both paralyzes and strangely comforts them. In this talk I will describe how I use my liberal arts Joy of Mathematics course to help students address and overcome stereotypes. In particular, I will discuss a specific assignment as well as share some student comments and perspectives on how this course helped change their viewpoint on more than just math.

Maximum Elements Of Ordered Sets And Anselm's Ontological Argument, Doug Ward

ACMS Conference Proceedings 2019

I will present a simple theorem concerning maximal elements of a set T endowed with an ordering “>” that is antisymmetric, i.e., if A and B are elements of T , we cannot have both A > B and B > A. A special case of this theorem is a simple version of the ontological argument, one of the classical proofs for the existence of God.

Numerical Range Of Toeplitz Matrices Over Finite Fields, Derek Thompson, Maddison Guillaume Baker, Amish Mishra

ACMS Conference Proceedings 2019

We characterize the kth numerical range of all n×n Toeplitz matrices with a constant main diagonal and another single, non-zero diagonal, where the matrices are over the field Zp[i], with p a prime congruent to 3 mod 4. We find that, for k ∈ Z∗, the kth numerical range is always equal to Zp[i] with the exception of the scaled identity. We also use similar techniques to discover a general connection between the 0th numerical range and the kth numerical range. Lastly, we conclude with a conjecture regarding the general numerical range of all triangular Toeplitz matrices.

Is Mathematical Truth Time Dependent? Comments From A Paper By Judith Grabiner, Richard Stout

ACMS Conference Proceedings 2019

Judith Grabiner, a renowned historian of mathematics, has written many papers related to signifi- cant changes in the content and nature of analysis, from the 17th through the 19th century. In her paper “Is Mathematical Truth Time Dependent?” Professor Grabiner gives several reasons for the changing nature and requirements in rigor that occurred over this period of two hundred years. In this talk I will briefly summarize her conclusions, particularly in light of how they might influence a Christian perspective on mathematics.

Models, Values, And Disasters, Michael H. Veatch

ACMS Conference Proceedings 2019

Decision-support models have values embedded in them and are subjective to varying degrees. Philosophical and ethical perspectives on operations research models are used to describe this subjectivity. Approaches to model building are then suggested that take into account subjectivity and values. For the decisions to reflect the right values, the model must align with the decision-maker’s values. I argue that it is appropriate and important for Christians applying mathematical models to be keenly aware of decision-maker’s values and seek to reflect them in the model. Disaster response planning is presented as an example where incorporating values is challenging. The responding …

Factors That Motivate Students To Learn Mathematics, Dave Klanderman, Sarah Klanderman, Benjamin Gliesmann, Josh Wilkerson, Patrick Eggleton

ACMS Conference Proceedings 2019

What motivates some students to want to learn mathematics while others do not share similar motivation? Are these factors intrinsic, extrinsic, or a combination of both? To answer these questions, we adapted a survey originally developed by Tapia (1996) and later shortened by Lim and Chapman (2015). We administered the survey in multiple middle schools, a high school, and multiple colleges and universities. We obtained over 100 completed surveys for each of these educational levels. This presentation offers an analysis of these data, including descriptive statistics and confidence intervals for each educational level. For the college and university sample, we …

Thinking Beautifully About Mathematics: A View Of Mathematics As The Science Of Measurable Orders, James M. Turner

ACMS Conference Proceedings 2019

At Calvin College, First Year Students are required to take a section of our Discovering the Christian Mind course during our January term. For the past 3 years, I have taught a section of this course titled Thinking Beautiful ly about Mathematics. In it, I explored, with the students, various areas of mathematics, as well as how mathematicians have explored them, while addressing such questions as “Is mathematics invented or discovered?” and “Why is mathematics unreasonably effective?” Ultimately, we look to identify ways and characterizations for how beauty displays itself in mathematics and how and it what ways beauty is …

Marin Mersenne: Minim Monk And Messenger; Monotheism, Mathematics, And Music, Karl-Dieter Crisman

ACMS Conference Proceedings 2019

If you have taught a number theory course or even watched the mathematical news, you know that occasionally a new (and enormous) “Mersenne prime” is discovered. Those who have introduced students to the prehistory of calculus may know of a certain Marin Mersenne as the interlocutor who drew Fermat and Descartes (and others) out to discuss their methods of tangents (and more). But who was Mersenne, and what did he actually do? This presentation will give an overview of his times, his role in the history of science, and his own writings. We’ll especially look into why a monk from …

Analyzing The Impact Of Active Learning In General Education Mathematics Courses, Amanda Harsy, Marie Meyer, Michael Smith, Brittany Stephenson

ACMS Conference Proceedings 2019

This talk shares the preliminary results of a study that explores the general perceptions and attitudes of students in general education mathematics courses taught using primarily active learning- based methods (like group work, projects, and discovery learning), and compares them with those enrolled in a general education mathematics course taught in a more traditional and lecture-based method. We present an analysis of survey data collected throughout the semester, which explores the disposition and mindset of students, their mathematical confidence and anxiety, and perceptions of pedagogical methods used for the teaching of mathematics. We also explored how these perceptions and dispositions …

Computer Science: Creating In A Fallen World, Russell Tuck

ACMS Conference Proceedings 2019

When God created people in his image, he gave us the gift of sub-creation. One of the great joys of Computer Science is exercising that gift to create tools : software and computer systems that serve people and solve problems. Like all God’s gifts, he charges us to exercise the gift of sub-creation wisely and for good. While there are many obvious implications and challenges, being good stewardship of users’ time and reducing discrimination are particularly relevant and perhaps less obvious examples. Although computer scientists exercise the gift of sub-creation, we do so as fallen people in a fallen world. …

A Unifying Project For A Tex/Cas Course, Andrew Simoson

ACMS Conference Proceedings 2019

We describe a CAS and TEX usage course for mathematics majors. As a unifying project, each student selects two primes p and q with pq < 100, explores mathematical pq ideas, and generates associated graphs, figures, tables for a final TEX paper. We summarize several pq explorations: stu- dents render page pq from Schwartz’s picture book about primes, You Can Count on Monsters, via Mathematica and TEX’s picture environment; students generate fractal images of pq; and students discover the primes of the ring Z r√pql.

Introduction (2019), Association Of Christians In The Mathematical Sciences

ACMS Conference Proceedings 2019

No abstract provided.

Paper Abstracts (2019), Association Of Christians In The Mathematical Sciences

ACMS Conference Proceedings 2019

No abstract provided.

Table Of Contents (2019), Association Of Christians In The Mathematical Sciences

ACMS Conference Proceedings 2019

No abstract provided.

Association Of Christians In The Mathematical Sciences Proceedings 2019, Association Of Christians In The Mathematical Sciences

ACMS Conference Proceedings 2019

The conference proceedings of the Association of Christians in the Mathematical Sciences biannual conference, May 29-June 1, 2019 at Indiana Wesleyan University.

Schedule (2019), Association Of Christians In The Mathematical Sciences

ACMS Conference Proceedings 2019

No abstract provided.

A Race To The Stars And Beyond: How The Soviet Union’S Success In The Space Race Helped Serve As A Projection Of Communist Power, Jack H. Lashendock

The Gettysburg Historical Journal

In the modern era, the notion of space travel is generally one of greater acceptance and ease than in times previously. Moreover, a greater number of nations (and now even private entities) have the technological capabilities to launch manned and unmanned missions into Earth’s Orbit and beyond. 70 years ago, this ability did not exist and humanity was simply an imprisoned species on this planet. The course of humanity’s then-present and the collective future was forever altered when, in 1957, the Soviet Union successfully launched the world’s first satellite into space, setting off a decades-long completion with the United States …

Gettysburg Historical Journal 2019

The Gettysburg Historical Journal

Complete issue of The Gettysburg Historical Journal 2019.

Arnold Hirsch Collection Of Ernest N. 'Dutch' Morial Oral History Interviews, 1987: A Finding Aid, Jenidza N. Rivera

LSU New Orleans Theses and Dissertations

This finding aid of interviews is drawn from the Arnold R. Hirsch Collection at the Amistad Research Center. Between 1987 and 1994, historian Arnold Hirsch interviewed New Orleans’ first black mayor, Ernest Morial, and others related to that crucial era in New Orleans political history. This collection consists of 37 audiocassettes tapes that contain oral history interviews conducted by Arnold Hirsch with various New Orleanians who were active in city government and political activism. This project-based thesis covers the research and construction of the finding aid completed for this collection during an internship at the Amistad Research Center, as well …

Ripple Effects: The Transformation Of Sfasu Women's Social Clubs To National Sororities, Lea Brannon Clark

Electronic Theses and Dissertations

Shortly after Stephen F. Austin Teachers College (SFA) opened in 1923, students began organizing social clubs. By the late 1920s, women formed the Amities and Pine Burrs to develop friendships and a sense of belonging. The Fideles and Sigma Gammas arrived on campus in the late 1940s as more women began attending SFA. Dr. Ralph W. Steen’s appointment as president brought significant changes to SFA and inadvertently to the social groups.

Responsible for adding more classrooms and dormitories, expanding course work and faculty, the new president also influenced the campus population by attempting to bring in students from metropolitan areas. …

Augustana Seniors Fall 1885: Peter Mathias Lindberg, Rebecca Elise Casad, Anna M. Matava, Nicole Kunz

Augustana Seniors Fall 1885 (Class of 1886)

No abstract provided.

Steam Vs. Stem: A Study And Program Proposal For Monticello, Micaela Deogracias

Honors Projects

STEM (science, technology, engineering, and mathematics) and art programs have long been struggling for dominance in the education system. This fight overshadows the fact there are synergistic educative capabilities when these two schools of thought are combined, allowing scientific and artistic persons to work in tandem and be exposed to a wider variety of problem-solving options and opinions. This study aims to focus on museum education practices specifically and how implementing STEAM programs (science, technology, engineering, arts, and mathematics) versus STEM could raise the perceived value of arts in society, as well as create a more enriching educational experience by …

Freemasons: Patrons Of The Enlightenment Arts, Jacob Money

Honors Projects

The Enlightenment is known as a time of great advances in science, political theory and individual rights. What is often not given proper consideration are the advances made in the fine arts. Out of this time period came the Hudson River Valley School of painting, a return to Greco-Roman architecture, and the explosion in popularity of the performing arts. In each of these cases, the historically secretive organization known as the Freemasons had a role in the patronage of these artists, architects and composers. Most people are aware of the Masons through popular media and although countless conspiracy theories surround …

Freemasons: Patrons Of The Enlightenment Arts, Jacob Money

Honors Projects

The Enlightenment is known as a time of great advances in science, political theory and individual rights. What is often not given proper consideration are the advances made in the fine arts. Out of this time period came the Hudson River Valley School of painting, a return to Greco-Roman architecture, and the explosion in popularity of the performing arts. In each of these cases, the historically secretive organization known as the Freemasons had a role in the patronage of these artists, architects and composers. Most people are aware of the Masons through popular media and although countless conspiracy theories surround …

Spring Commencement Program, May 10, 2019, Coastal Carolina University

Commencement Programs

Program of Commencement Exercises at Coastal Carolina University.

The Grizzly, May 9, 2019, Courtney A. Duchene, William Wehrs, Sam Isola, Johnny Myers, Thomas Bantley, David Mendelsohn, Thomas Garlick, Zack Muredda

Ursinus College Grizzly Newspaper, 1978 to Present

Kingston Out, Varner in for Bear Bash • Ursinus Reacts to Symbol of Hatred • Q&A with President Blomberg • Ursinus Graduates First Wave of Education Studies Majors • Breakaway Student Productions' One Act Festival Premieres Four Student-Written Plays • Ursinus Fulbright Scholar, Jason Bennett '19, to Research Theoretical High-Energy Physics at the University of Groningen in the Netherlands • Opinions: Swarthmore Scandal Speaks to Greater Issues with Fraternity Culture; The United States Should Shorten its Work Week • Athlete Spotlight: Running Back Sam Ragland '21 • The "Thanks for a Fun Two Years" Award: You, the Fans • Bears …

Wish You Were Here, Janie Stamm, Janie I. Stamm

Graduate School of Art Theses

The State of Florida is under threat from the effects of climate change. Rising sea levels are creeping up on to Florida’s coast, eroding the beaches and encroaching on heavily populated cities. Over my lifetime I will watch the water spill over the streets of my home town. I will watch the water flood the Everglades, pushing saltwater into freshwater habitats. I will watch the water begin to drown the state, taking Florida’s many little known histories along with it. This thesis serves as a document of Floridian life during the Anthropocene.

Within this thesis, I tell the story of …

Every Data Point Counts: Political Elections In The Age Of Digital Analytics, Julian Kehle, Samir Naimi

Honors Thesis

Synthesizing the investigative research and cautionary messages from experts in the fields of technology, political science, and behavioral science, this project explores the ways in which digital analytics has begun to influence the American political arena. Historically, political parties have constructed systems to target voters and win elections. However, rapid changes in the field of technology (such as big data, artificial intelligence, and the prevalence of social media) threaten to undermine the integrity of elections themselves. Future political campaigns will utilize profiling to micro-target individuals in order to manipulate and persuade them with hyper-personalized political content. Most dangerously, the average …