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Physical Sciences and Mathematics Commons

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Full-Text Articles in Physical Sciences and Mathematics

Time As A Line: Helping Children Make Abstract Ideas Concrete, Rachel Mae Stenner Oct 2023

Time As A Line: Helping Children Make Abstract Ideas Concrete, Rachel Mae Stenner

WWU Honors College Senior Projects

This is a math education project that included research, a lesson plan, and actual in the classroom work with students. Under the advisement of Dr. Rebecca Borowski, I looked into how time, an abstract idea, is taught to young children who are just starting to learn what measurement is, and examined how teachers can better teach time as a more concrete topic. This focused on the idea of turning the abstract time concepts that are thrown at children into the more abstract ideas of both circular and then linear number lines, using physical materials to help guide the process.


Mth 125 - Modeling With Exponential Functions, Stivi Manoku Apr 2023

Mth 125 - Modeling With Exponential Functions, Stivi Manoku

Open Educational Resources

The file includes a variety of problems that emphasize the importance of modeling exponential growth and/or radioactive decay. Through different exercises and problems, the assignment goal is to improve their comprehension of exponential functions and hone their problem-solving abilities.


Lagrangian Mechanics And The Motion Of A T-Handle, Eric Maurer Apr 2023

Lagrangian Mechanics And The Motion Of A T-Handle, Eric Maurer

WWU Honors College Senior Projects

This paper begins by deriving the equations of motion for the Lagrangian formulation of mechanics. Lagrangian mechanics describes the same thing as the traditional Newtonian mechanics (which is what is taught in most undergrad physics classes), but rather than model the system through forces, it models the system through energy. Energy is conserved in a system, which allows the Lagrangian formulation to model certain types of systems in a more efficient way than the Newtonian formulation.

Next, the paper explores rigid body motion, specifically looking at the motion of the angular momentum. The goal of this part is to explain …


Mth 50 Syllabus, Koby Kohulan Mar 2023

Mth 50 Syllabus, Koby Kohulan

Open Educational Resources

No abstract provided.


On Prime Labelings Of Uniform Cycle Snake Graphs, M. A. Ollis Jan 2023

On Prime Labelings Of Uniform Cycle Snake Graphs, M. A. Ollis

Emerson Authors, Researchers, & Creators

A reseaech paper in graph theory, a subfield of math. At the time of the research Agam Bedi and Samiksha Ramesh were undergraduate students at Emerson College and the work was completed as part of the SOC320 Research Co-Curricular in the summer of 2022. The work has a Creative Commons BY-NC licence.


Oer Ancient Egyptian Numerals And Arithmetic Activity, Cynthia Huffman Ph.D. Jul 2022

Oer Ancient Egyptian Numerals And Arithmetic Activity, Cynthia Huffman Ph.D.

Faculty Submissions

Many people are fascinated with ancient Egypt. The amazing, unique culture influenced many other civilizations and cultures. If you study the history of math, you will see how this influence included mathematics. Ancient Egypt also lasted an incredibly long time – over 3000 years. According to Egyptologist Bob Brier, “No civilization lasted so long, contributed so much, or repeatedly amazed as did ancient Egypt.”

In this Open Educational Resource activity, students will have the opportunity to learn about ancient Egyptian numerals and basic arithmetic. For motivation, the setting is a scribal school with each student using a clipboard, paper, and …


For The Women Who Wear Pi Day Shirts, Jacqui Weaver May 2022

For The Women Who Wear Pi Day Shirts, Jacqui Weaver

Honors College

This project, entitled To The Women Who Wear Pi Day Shirts, is a poetry manuscript that explores a journey of a women in STEM. While taking college English courses, I read about characters such as the creature in Frankenstein, by Mary Shelley, who had intelligence, yet was physically hideous, an outsider from the human population. The creature was an outsider to the normal human, much like how I feel as a woman in STEM, which gave me the idea to write about my own journey. The poetry in this manuscript is a reflection from being in elementary school learning mathematics …


Program Review: Mathematics And Statistics Department, Katherine Kime, University Of Nebraska At Kearney Department Of Mathematics And Statistics Faculty & Staff Mar 2022

Program Review: Mathematics And Statistics Department, Katherine Kime, University Of Nebraska At Kearney Department Of Mathematics And Statistics Faculty & Staff

Academic Program Reviews

No abstract provided.


Exploration Of Piccirillo's Trick On Low Crossing Number Knots, Gabriel Adams Mar 2022

Exploration Of Piccirillo's Trick On Low Crossing Number Knots, Gabriel Adams

Honors Theses

Piccirillo recently discovered a process that can be applied to an unknotting number one knot to convert it into a different knot called a Piccirillo dual. Piccirillo duals have been shown to have the same n-trace and the same sliceness. However, exploration and knowledge of this process is limited. We were able to generate the Piccirillo duals for several low-crossing number knots. We offer the foundation for and explain how to follow the Piccirillo process and generate Piccirillo duals. This talk assumes little knowledge of knot theory and concisely gives newcomers a clear introduction to get started working with Piccirillo …


Stemendously Fun Time Stem Club, Sarah Altman, Rhiannon Carlile Apr 2021

Stemendously Fun Time Stem Club, Sarah Altman, Rhiannon Carlile

Honors Expanded Learning Clubs

After school club for middle school students which focuses on bolstering scientific knowledge though experimentation and exploration of the scientific method.


Quasipositive Braids And Ribbon Surfaces, Rachel Snyder Apr 2021

Quasipositive Braids And Ribbon Surfaces, Rachel Snyder

WWU Honors College Senior Projects

Meant to serve as an accessible exploration of knot theory for undergraduates and those without much experience in topology, this paper will start by exploring the basics of knot theory and will work through investigating the relationships between knots and surfaces, ending with an analysis of the relationship between quasipositive braids and surfaces in 4-space. We will begin by defining a knot and introducing the ways in which we are able to manipulate them. Following that, we will explore the basics of surfaces, building up to a proof that all surfaces are homeomorphic to a series of disks and bands …


Bézier Curves, Qing Chen, Ariane Masuda Apr 2021

Bézier Curves, Qing Chen, Ariane Masuda

Publications and Research

Drawing on a computer using a mouse is quite different than drawing by hand. It can be challenging to use a mouse to even simply trace a line. If the drawing involves several lines and curves, the task becomes more complicated. The goal of this project is to show how to design beautiful artworks using Bézier curves. A Bézier curve is a smooth parametric curve produced by the coordinates of certain points. To draw a specific curve, one needs to select multiple control points positioned in strategic places. By changing these positions, one can draw different curves to produce the …


The Beauty Of Bézier Curves, Qing Chen, Ariane Masuda Apr 2021

The Beauty Of Bézier Curves, Qing Chen, Ariane Masuda

Publications and Research

It is very difficult for ordinary people to become excellent painters like Picasso. In contemporary society, everyone has a computer, but no one associates painting with computers. This project aims to show that one can use computer tools to connect mathematics with art. We use Krita, which is a professional free, and open-source painting program made by artists to create digital art. We demonstrate how the Bezier curve pen tool in Krita can help anyone to ́ draw paintings such as Picasso’s cubist oil paintings on a computer in a relatively short time.


Regression Analysis: Graduation Rate In Kentucky Public High Schools, Rebecca Price Jan 2021

Regression Analysis: Graduation Rate In Kentucky Public High Schools, Rebecca Price

Mahurin Honors College Capstone Experience/Thesis Projects

Kentucky’s Public High School graduation rates vary widely across the rural and urban regions in the state. In addition to their graduation rates, each of these schools have their own unique demographics, funding, teacher-student ratio, etc. that define said school’s identity. This research aims to analyze the aforementioned variables, as well as other variables listed on each school state report card, in order to create a model to predict any school’s graduation rate.

In order to create this model, data was taken on all public high schools in Kentucky from the Kentucky Department of Education’s School Report Card. Data were …


Parametric Art, Shaun Pollard, Daanial Ahmad, Satyanand Singh Dec 2020

Parametric Art, Shaun Pollard, Daanial Ahmad, Satyanand Singh

Publications and Research

Lissajous curves, named after Jules Antoine Lissajous (1822-1880) are generated by the parametric equations ��=��������(����) and ��=��������(����) in its simplistic form. Others have studied these curves and their applications like Nathaniel Bowditch in 1815, and they are often referred to as Bowditch curves as well. Lissajous curves are found in engineering, mathematics, graphic design, physics, and many other backgrounds. In this project entitled “Parametric Art” this project will focus on analyzing these types of equations and manipulating them to create art. We will be investigating these curves by answering a series of questions that elucidate their purpose. Using Maple, which …


Collaboration (Reacting To The Past/Math/History/Writing), James Hayashi Feb 2020

Collaboration (Reacting To The Past/Math/History/Writing), James Hayashi

Q2S Enhancing Pedagogy

This is an assignment for a Freshman level course in the College of Natural Science. By the end students will have an understanding of valid research, collaboration and communication skills. Faculty that chooses to use this assignment will be preparing students for an active learning environment, and understanding a “Big Idea”, valid research, technology and communication skills.

Faculty should give an example of what is valid research. As students are completing this assignment mini deadlines (check-ins) shall be set. With the check-ins for this assignment focus on how the group will communicate the check point and the collaboration.

The focus …


Analytic Threads - Annual Newsletters 2014-2020, Messiah University Jan 2020

Analytic Threads - Annual Newsletters 2014-2020, Messiah University

Educator Scholarship & Departmental Newsletters

Faculty and student updates. Analytic Threads is the annual newsletter of the Department of Computing, Mathematics and Physics at Messiah University. It is sent annually to alumni and is also available electronically at the website messiah.edu/cmp


Reflection On Use Of The "Reacting To The Past" Pedagogy In A History Of Mathematics Course, Davida Fischman Dec 2019

Reflection On Use Of The "Reacting To The Past" Pedagogy In A History Of Mathematics Course, Davida Fischman

Q2S Enhancing Pedagogy

This brief report provides a reflection on the use of the "Reacting to the Past" (RTTP) pedagogy in a History of Mathematics classroom. The conclusion is drawn that the RTTP pedagogy is very successful in engaging students in active learning, and appropriate games may be utilized to help students learn about the role of mathematics in historical developments as well as in society today.


Σ-Ary, Minnesota State University Moorhead, Mathematics Department Oct 2019

Σ-Ary, Minnesota State University Moorhead, Mathematics Department

Math Department Newsletters

No abstract provided.


Mathematical Analysis Of The Duck Migration To Louisiana, Brandon Garcia Apr 2019

Mathematical Analysis Of The Duck Migration To Louisiana, Brandon Garcia

Mathematics Senior Capstone Papers

The purpose of this project is to research the relationship between duck migration and weather patterns, more specifically trying to determine if the rainfall and temperature in a given year affects the migration patterns of ducks. Duck hunters and conservation- ists alike have observed an overall decrease in the duck population in Louisiana over the past 70 years. Though some years have seen an increase, the population has not recovered to the level from the 1950s. These observations have led to many questions about what have happened to the ducks or where have the ducks gone. Using differ- ent forms …


Law School News: Roger Williams University Announces 11th President 02-13-2019, Ed Fitzpatrick Feb 2019

Law School News: Roger Williams University Announces 11th President 02-13-2019, Ed Fitzpatrick

Life of the Law School (1993- )

No abstract provided.


Mathematica Program To Compute Klein Gordon Equation For Generic Black Holes, Brant Smith Dec 2018

Mathematica Program To Compute Klein Gordon Equation For Generic Black Holes, Brant Smith

Physics Capstone Projects

The goal of this project is to develop a program that will compute the Klein Gordon equation for generic Black Holes through the program Mathematica. This program will be available on Utah State websites for public usage. This project focuses on an understanding of General Relativity and more concretely on theoretical aspects of Black Holes. Developing the program begins with computing the Laplace equation in flat space to understand what it means to have empty space without a Black Hole. The Klein Gordon equation for a Schwarzschild Black Hole is then solved to show what happens once a static, non-rotating …


Σ-Ary, Minnesota State University Moorhead, Mathematics Department Oct 2018

Σ-Ary, Minnesota State University Moorhead, Mathematics Department

Math Department Newsletters

No abstract provided.


Remarks On Legendrian Self-Linking, Chris Beasley, Brendan Mclellan, Ruoran Zhang Aug 2018

Remarks On Legendrian Self-Linking, Chris Beasley, Brendan Mclellan, Ruoran Zhang

Mathematics and Statistics Faculty Publications

The Thurston-Bennequin invariant provides one notion of self-linking for any homologically-trivial Legendrian curve in a contact three-manifold. Here we discuss related analytic notions of self-linking for Legendrian knots in R3. Our definition is based upon reformulation of the elementary Gauss linking integral and is motivated by ideas from supersymmetric gauge theory. We recover the Thurston-Bennequin invariant as a special case.


Burning Man’S Mathematical Underbelly, Seth S. Cottrell Aug 2018

Burning Man’S Mathematical Underbelly, Seth S. Cottrell

Publications and Research

A math degree can take you to a lot of places, both physically and figuratively, and if you play your cards right, you too can argue counterfactual definiteness with a shaman. First in 2008, and several times since, a fellow math PhD and I traveled to the Burning Man art festival to sit in the desert and talk with the locals about whatever they happened to be curious about.


U.S. - Canadian Border Traffic Prediction, Colin Middleton Dec 2017

U.S. - Canadian Border Traffic Prediction, Colin Middleton

WWU Honors College Senior Projects

Mathematical discussion and analysis of several prediction methods which use real time data to predict traffic flow at the U.S. - Canadian Border crossings.


Σ-Ary, Minnesota State University Moorhead, Mathematics Department Oct 2017

Σ-Ary, Minnesota State University Moorhead, Mathematics Department

Math Department Newsletters

No abstract provided.


Frg: Collaborative Research: Homotopy Renormalization Of Topological Field Theories, Nathan Geer Aug 2017

Frg: Collaborative Research: Homotopy Renormalization Of Topological Field Theories, Nathan Geer

Funded Research Records

No abstract provided.


Final Report For Chesnutt Library Fellows Information Literacy Program (Final Report), Dong Wang Apr 2017

Final Report For Chesnutt Library Fellows Information Literacy Program (Final Report), Dong Wang

Chesnutt Fellows Information Literacy Projects

No abstract provided.


Information Literacy In Class Room, Asitha Kodippili Apr 2017

Information Literacy In Class Room, Asitha Kodippili

Chesnutt Fellows Information Literacy Projects

No abstract provided.