Physical Sciences and Mathematics Commons^™

Some Thoughts On The Epicurean Critique Of Mathematics, Michael Aristidou

Journal of Humanistic Mathematics

In this paper, we give a comprehensive summary of the discussion on the Epicurean critique of mathematics and in particular of Euclid's geometry. We examine the methodological critique of the Epicureans on mathematics and we assess whether a 'mathematical atomism' was proposed, and its implications. Finally, we examine the Epicurean philosophical stance on mathematics and evaluate whether it was on target or not.

Does Content Matter In An Introduction-To-Proof Course?, Milos Savic

Journal of Humanistic Mathematics

Introduction-to-proof courses are becoming more prevalent in mathematics departments as more recognize the need to support students while they transition from courses focused on computation (such as calculus) to proof-intensive courses (such as real analysis). In such introduction courses, there are some common proving techniques to teach (induction, contradiction, and contraposition to name a few), but the content varies from institution to institution. This note adds to the discussion on content in such courses by analyzing two prior studies, one using a coding scheme designed to illuminate step-by-step justifications in a proof, and the other focused on interviews with course …

On Commensurability And Symmetry, David Pierce

Journal of Humanistic Mathematics

Commensurability and symmetry have diverged from a common Greek origin. We review the history of this divergence. In mathematics, symmetry is now a kind of measure that is different from size, though analogous to it. Size being given by numbers, the concept of numbers and their equality comes into play. For Euclid, two magnitudes were symmetric when they had a common measure; also, numbers were magnitudes, commonly represented as bounded straight lines, for which equality was congruence. When Billingsley translated Euclid into English in the sixteenth century, he used the word "commensurable" for Euclid's symmetric magnitudes; but the word had …

The Biblical Value Of Pi In Light Of Traditional Judaism, Morris Engelson

Journal of Humanistic Mathematics

There are numerous attempts at a solution to the puzzle as to why the Biblical value of pi, as demonstrated by the measurements of King Solomon's pool, is exactly 3 and not a better approximation. This article shows that virtually all such published solutions are deficient because volume-based factors are ignored. Issues respecting the volume of this pool are explained, and some possible solutions of the puzzle are presented.

Perchance To Dream: Art, Mathematics, And Shakespeare, Randall E. Cone

Journal of Humanistic Mathematics

Visual representation of textual works has often aided in the understanding of sophisticated concepts. In the Digital Age this is particularly true, given the advent of natural language processing, the ubiquity of general programming languages, and the maturation of digital visualization. In this article, we eschew the traditional disciplinary boundaries to view and analyze Shakespeare’s works in various ways. Our point of departure is Hamlet, where we first examine the play as a unity — both graphically and analytically. We then focus on Act III, Scene 1, where we analyze one of the most famous passages in English Literature: …

Front Matter

Journal of Humanistic Mathematics

No abstract provided.

Lewis Carroll And Mathematical Ideals Of John Allen Paulos: Review Of Alice's Adventures In Wonderland (1865) And Through The Looking-Glass, And What Alice Found There (1871), Paul H. Grawe

Numeracy

At first blush it may seem that linking the acclaimed achievements of John Allen Paulos and the acclaimed achievements of Lewis Carroll (a.k.a. Oxford mathematics don Charles Lutwidge Dodgson) is merely an exercise in free association. Both are prestigious academic mathematicians. Both have an obvious interest in humor. Both have made it to best-seller lists.

That free association, however, is not the issue here. Instead, the issue is whether John Allen Paulos has highlighted basic questions of mathematical literacy and whether the issues that Paulos highlights do not, in fact, reflect mathematical and artistic concerns of Lewis Carroll in writing …

Alan Turing: The Man Behind The Machine, Christopher D. Goff

Christopher Goff

No abstract provided.

Alan Turing: The Man Behind The Machine, Christopher D. Goff

Christopher Goff

No abstract provided.

Alan Turing: The Man Behind The Machine, Christopher D. Goff

Christopher Goff

No abstract provided.

Santa Clara Magazine, Volume 58 Number 2, Summer 2017, Santa Clara University

Santa Clara Magazine

18 - LISTENING IS HER SUPERPOWER The groundbreaking stage work of Anna Deavere Smith. By Jesse Hamlin.

22 - CASTS A SHADOW Travel bans: Four international graduate students respond. By Matt Morgan.

24 - A BIGGER STAGE Priest, social worker, CEO, and teller of stories: Jim Purcell on what drew him to Santa Clara—and what Jesuit education can be. By Steven Boyd Saum.

28 - THE GOOD, THE BAD, AND THE KID Ron Hansen M.A. ’95 talks truth and fiction and Billy the Kid—and when you can’t tell the good guys from the bad guys.

38 - DISCOVER. INNOVATE. A …

Game Specific Approaches To Monte Carlo Tree Search For Dots And Boxes, Jared Prince

Mahurin Honors College Capstone Experience/Thesis Projects

In this project, a Monte Carlo tree search player was designed and implemented for the child’s game dots and boxes, the computational burden of which has left traditional artificial intelligence approaches like minimax ineffective. Two potential improvements to this player were implemented using game-specific information about dots and boxes: the lack of information for decision-making provided by the net score and the inherent symmetry in many states. The results of these two approaches are presented, along with details about the design of the Monte Carlo tree search player. The first improvement, removing net score from the state information, was proven …

Cybersecurity: Stochastic Analysis And Modelling Of Vulnerabilities To Determine The Network Security And Attackers Behavior, Pubudu Kalpani Kaluarachchi

USF Tampa Graduate Theses and Dissertations

Development of Cybersecurity processes and strategies should take two main approaches. One is to develop an efficient and effective set of methodologies to identify software vulnerabilities and patch them before being exploited. Second is to develop a set of methodologies to predict the behavior of attackers and execute defending techniques based on attacking behavior. Managing of Vulnerabilities and analyzing them is directly related to the first approach. Developing of methodologies and models to predict the behavior of attackers is related to the second approach. Both these approaches are inseparably interconnected. Our effort in this study mainly focuses on developing useful …

Pollen Forecasting In Sarasota, Florida, Daniel J. Gessman

USF Tampa Graduate Theses and Dissertations

Current predictions of pollen levels rely strictly on historical Averages, regardless of environmental factors that might affect the timing of pollen release by different plants. For this thesis, the goal was to develop a statistical model that will accurately forecast pollen levels by correlating those daily counts to atmospheric and meteorological conditions. This project used ARIMA modeling on IBM’s SPSS Statistics 24 of daily pollen count information for multiple allergenic pollens in the Sarasota County, Florida area over a 11-year period. The pollen species in question for this project are oak and cypress trees, grass, and ragweed pollens; and Alternaria …

Calculus Reform: Increasing Stem Retention And Post-Requisite Course Success While Closing The Retention Gap For Women And Underrepresented Minority Students, Doug Bullock, Janet Callahan, Jocelyn B. S. Cullers

Mathematics Faculty Publications and Presentations

Boise State University (BSU) implemented an across-the-board reform of calculus instruction during the 2014 calendar year. The details of the reform, described elsewhere (Bullock, 2015), (Bullock 2016), involve both pedagogical and curricular reform. Gains from the project have included a jump in Calculus I pass rate, greater student engagement, greater instructor satisfaction, a shift toward active learning pedagogies, and the emergence of a strong collaborative teaching community. This paper examines the effects of the reform on student retention. Since the curricular reform involved pruning some content and altering course outcomes, which could conceivably have negative downstream impacts, we report on …

(Dis)Enchanted: (Re)Constructing Love And Creating Community In The, Shannon A. Suddeth

USF Tampa Graduate Theses and Dissertations

This thesis examines a queer fan community for the television show Once Upon a Time (OUAT) that utilizes the social networking site Tumblr as their primary base of fan activity. The Swan Queen fan community is comprised of individuals that collectively support and celebrate a non-canon romantic relationship between two of the female lead characters of the show rather than the canonic, heterocentric relationships that occur between the two women and their respective male love interests. I answer two research questions in this study: First, how are members of the Swan Queen fan community developing counter narratives of …

Notes On Contributors

The Catch

No abstract provided.

The Mackerel Fishermen, Avery B. Stone

The Catch

No abstract provided.

Cormorant, Judy Kaber

The Catch

No abstract provided.

Awakening, Angela M. Waldron

The Catch

No abstract provided.

Editor's Note, Leonore Hildebrandt

The Catch

No abstract provided.

Full Issue Volume V

The Catch

No abstract provided.

The Resolved And Unresolved Conjectures Of R.D. Carmichael, Brian D. Beasley

ACMS Conference Proceedings 2017

Even before heading to Princeton University to work on his doctoral degree, Robert Daniel Carmichael started influencing the path of number theory in the 20th century. From his study of Euler's totient function to his discovery of the first absolute pseudoprime, he set the stage for years of productive research. This talk will present a brief overview of Carmichael's life, including his breadth of mathematical interests and his service on behalf of the Mathematical Association of America. It will focus mainly on his two most famous conjectures- which one has been settled, and which one remains open to this day?

"Big Idea" Reflection Assignments For Learning And Valuing Mathematics, Jeremy Case, Mark Colgan

ACMS Conference Proceedings 2017

While participating in a Faculty Learning Community, we explored the "big questions" we wanted our students to take away from our mathematics courses. We called these questions the Big Ideas of the course and developed a Big Ideas Reflection Assignment, which we continue to assign at the end of each of our courses. Students are able to demonstrate understanding and application of their learning as well as their values and appreciation of mathematics. The assignment encourages students to move beyond a focus on technique and symbolic manipulations towards a broader and more holistic approach, including making connections between their learning …

Using Real-World Team Projects: A Pedagogical Framework, Mike Leih

ACMS Conference Proceedings 2017

The use of team projects in a program capstone course for computer science or information systems majors has been a popular method for reinforcing and assessing program learning objectives for students in their final semester. Using real-world group projects as a learning activity is an excellent pedagogical approach in helping students develop critical thinking, team work, real-world problem solving, and communication skills. However, real-world group projects also provide many challenges to both the instructor and students alike. Instructors or students must find real-world projects appropriate for the learning objectives in the course. Instructors must determine how to provide teams with …

Variations On The Calculus Sequence, Christopher Micklewright

ACMS Conference Proceedings 2017

Many institutions have embraced a standard format for the Calculus sequence, comprising three four-credit courses covering a fairly consistent set of topics. While there is much to recommend this approach, it still leaves some fantastic concepts rushed or untouched, and it can be argued that it demands too much of students with weaker backgrounds. As such, some schools have experimented with variations on the standard format. In this talk, I will present the model that my institution currently uses, exploring the strengths and weaknesses of our particular approach. I will also suggest ideas, developed in conversation with other ACMS members …

The Topology Of Harry Potter: Exploring Higher Dimensions In Young Adult Fantasy Literature, Sarah Klanderman, Alexa Schut, Dave Klanderman, William Boerman-Cornell

ACMS Conference Proceedings 2017

As one of the most beloved series in children’s literature today, the Harry Potter books excite students of all ages with the adventures of living in a magical world. Magical objects (e.g., bottom-less handbags, the Knight Bus, time turners, and moving portraits) can inspire generalizations to mathematical concepts that would be relevant in an undergraduate geometry or topology course. Intuitive explanations for some of the magical objects connect to abstract mathematical ideas. We
offer a typology with a total of five categories, including Three Dimensions in Two Dimensions, Higher Dimensions in Three Dimensions, Two and Three Dimensional Movement, Higher Dimensional …

Ten Mathematicians Who Recognized God's Hand In Their Work (Part 2), Dale Mcintyre

ACMS Conference Proceedings 2017

Scottish philosopher David Hume (1711-1776) once observed that "Whoever is moved by faith to assent to [the Christian religion], is conscious of a continued miracle in his own person, which subverts all the principles of his understanding, and gives him a determination to believe what is most contrary to custom and experience." Evidently Hume's cynical pronouncement did not apply to Descartes, Newton, Riemann, and other profound thinkers who believed God had commissioned and equipped them to glorify Him in their pursuit of truth through mathematics - And based on their extraordinary achievements the principles of their understanding do not appear …

The Set Of Zero Divisors Of A Factor Ring, Jesús Jiménez

ACMS Conference Proceedings 2017

Let A be a ring and a an ideal of A. In this paper we show how to construct factor rings A/ a and a finite set of ideals a1, a2, ... , ak, of A/a, such that: each ideal aj is contained in the set of zero divisors of A/a, the factor ring A/a is a direct sum of these ideals, and each ideal aj is a ring with unity when endowed with addition and multiplication modulo a. Explicit examples are given when A is the ring of integers, Gaussian integers or the ring of polynomials over a field.

The Daily Question: Building Student Trust And Interest In Undergraduate Introductory Probability And Statistics Courses, Matthew A. Hawks

ACMS Conference Proceedings 2017

Introducing probability or statistics to disinterested undergraduate students is challenging. Adding faith in such a classroom at a secular institution only increases the complexity. We share an unobtrusive way to build trust with students, creating a medium to both naturally share your faith and have your students look forward to attending each class. The context is the United States Naval Academy, a four-year undergraduate institution with an emphasis on leader development. In addition to a calculus sequence, Humanities majors enroll in Probability with Naval Applications or Introductory Statistics. These sophomores or juniors are split between those who have no intention …