Physical Sciences and Mathematics Commons^™

A New Trend In Human Reproduction - Women In The Usa, Abby Rokke

Essential Studies UNDergraduate Showcase

The control a woman is allowed to have over her own reproductive system has been a recent popular topic of debate. Since the 1950's, women have made up over half of the total United States population. With women making up the majority of the country's citizens, it would be quite the contradiction for them to not have the right to make decisions about their own bodies. Over the last two decades many contraceptive and medical advances have assisted in a woman's ability to make her own choice. An interesting trend in childbearing has occurred from this new wave of technologies. …

Equations Of Motion In A Rotating Noninertial Reference Frame, Nicholas L. Sponsel

Essential Studies UNDergraduate Showcase

Measurement is an essential part of empirical research. As such, understanding whether the frame of reference in which a measurement occurs is inertial is essential for accurate data. As a rotating sphere, Earth is a non-inertial frame of reference and gives rise to fictitious forces. These forces are derived through vector algebra and further solved through matrix differential equations. The final solution for how velocity evolves over time results in sinusoidal functions with a period of 24 hours for Earth. To test the equations further, rational scenarios are proposed for different locations on the surface of Earth involving different initial …

Modeling The Spread Of Disease, James Hollister

Essential Studies UNDergraduate Showcase

Mathematically modeling the spread of disease in a population is a focus among epidemiologists. Using an SIR model (susceptible, infected, and recovered), we can create a system of differential equations to help better understand how a disease spreads in a simple environment. However, if we are to create a more realistic environment, computer simulations may be necessary. We can use the results from these simulations to try and find ways to eradicate the disease as efficiently as possible. In this poster, we will present the SIR model, present a system of differential equations that describe the movement of disease in …

Properties Of The Secondary Hochschild Homology, Jacob Laubacher

Faculty Creative and Scholarly Works

Abstract. In this paper we study properties of the secondary Hochschild homology of the triple (A, B, ε) with coefficients in M. We establish a type of Morita equivalence between two triples and show that H•((A, B, ε);M) is invariant under this equivalence. We also prove the existence of an exact sequence which connects the usual and the secondary Hochschild homologies in low dimension, allowing one to perform easy computations. The functoriality of H•((A, B, ε);M) is also discussed.

Math Active Learning Lab: Math 93 Notebook, Michele Iiams, Gwennie Byron

Open Educational Resources

This course notebook has been designed for students of Math 93 (Algebra Prep III) at the University of North Dakota. It has been designed to help you get the most out of the ALEKS resources and your time.

• Topics in the Notebook are organized by weekly learning module.
• Space for notes from ALEKS learning pages, e-book and videos directs you to essential concepts.
• Examples and “You Try It” problems have been carefully chosen to help you focus on these essential concepts.
• Completed Notebook is an invaluable tool when studying for exams.

College Algebra (Abac), April Abbott, Gary Dicks, Jan Gregus, Buddhi Pantha, Melanie Partlow, Lori Pearman, Amanda Urquhart, Eunkyung You

Mathematics Grants Collections

This Grants Collection for College Algebra was created under a Round Ten ALG Textbook Transformation Grant.

Affordable Learning Georgia Grants Collections are intended to provide faculty with the frameworks to quickly implement or revise the same materials as a Textbook Transformation Grants team, along with the aims and lessons learned from project teams during the implementation process.

Documents are in .pdf format, with a separate .docx (Word) version available for download. Each collection contains the following materials:

• Linked Syllabus
• Initial Proposal
• Final Report

Calculus I For Engineers (Ga Southern), Scott Kersey, Rami Haddad

Mathematics Grants Collections

This Grants Collection for Calculus I for Engineers was created under a Round Eleven ALG Textbook Transformation Grant.

Affordable Learning Georgia Grants Collections are intended to provide faculty with the frameworks to quickly implement or revise the same materials as a Textbook Transformation Grants team, along with the aims and lessons learned from project teams during the implementation process.

Documents are in .pdf format, with a separate .docx (Word) version available for download. Each collection contains the following materials:

• Linked Syllabus
• Initial Proposal
• Final Report

College Algebra (Asu), Zephyrinus Okonkwo, Anilkumar Deverapu, Anthony Smith, Vijay Kunwar, Laxmi Paudel

Mathematics Grants Collections

This Grants Collection for College Algebra was created under a Round Ten ALG Textbook Transformation Grant.

Affordable Learning Georgia Grants Collections are intended to provide faculty with the frameworks to quickly implement or revise the same materials as a Textbook Transformation Grants team, along with the aims and lessons learned from project teams during the implementation process.

Documents are in .pdf format, with a separate .docx (Word) version available for download. Each collection contains the following materials:

• Linked Syllabus
• Initial Proposal
• Final Report

Calculus Iii (Fvsu), Patcharin Marion, Dawit Aberra

Mathematics Grants Collections

This Grants Collection for Calculus III was created under a Round Ten ALG Textbook Transformation Grant.

Affordable Learning Georgia Grants Collections are intended to provide faculty with the frameworks to quickly implement or revise the same materials as a Textbook Transformation Grants team, along with the aims and lessons learned from project teams during the implementation process.

Documents are in .pdf format, with a separate .docx (Word) version available for download. Each collection contains the following materials:

• Linked Syllabus
• Initial Proposal
• Final Report

Elementary Set Theory, Richard P. Millspaugh

Open Educational Resources

This text is appropriate for a course that introduces undergraduates to proofs. The material includes elementary symbolic logic, logical arguments, basic set theory, functions and relations, the real number system, and an introduction to cardinality. The text is intended to be readable for sophomore and better freshmen majoring in mathematics.

The source files for the text can be found at https://github.com/RPMillspaugh/SetTheory

Math Active Learning Lab: Math 92 Notebook, Michele Iiams, Gwennie Byron

Open Educational Resources

This course notebook has been designed for students of Math 92 (Algebra Prep II) at the University of North Dakota. It has been designed to help you get the most out of the ALEKS resources and your time.

• Topics in the Notebook are organized by weekly learning module.
• Space for notes from ALEKS learning pages, e-book and videos directs you to essential concepts.
• Examples and “You Try It” problems have been carefully chosen to help you focus on these essential concepts.
• Completed Notebook is an invaluable tool when studying for exams.

Active Calculus 2.1, Matthew Boelkins, David Austin, Steven Schlicker

Open Textbooks

Active Calculus is different from most existing calculus texts in at least the following ways: the text is freely readable online in HTML format and is also available for in PDF; in the electronic format, graphics are in full color and there are live links to java applets; there are live WeBWorK exercises in each chapter, which are fully interactive in the HTML format and included in print in the PDF; the text is open source, and interested users can gain access to the original source files on GitHub; the style of the text requires students to be active learners …

Emilie Du Chatelet Activity, Cynthia J. Huffman Ph.D.

Open Educational Resources - Math

This activity was originally created for a Women in Mathematics course to provide students with a small taste of some basic mathematics connected to work of Émilie du Châtelet. The activity has the students use some algebra to look at rates of change (velocity and acceleration) of a paraboloid apparatus. It could also be used in other courses, such as history of math, high school or college algebra, and calculus.

Ada Byron Lovelace Activity, Cynthia J. Huffman Ph.D.

Open Educational Resources - Math

This activity was originally created for a Women in Mathematics course to provide students with a small taste of some basic mathematics connected to the work of Lady Ada Byron Lovelace. The activity is based on her work related to the Difference Engine of Charles Babbage, and has students investigate differences of sequences. The activity could also be used in other courses, such as a general education mathematics course, a course for pre-service elementary teachers, or a history of mathematics course.

Maria Agnesi Activity, Cynthia J. Huffman Ph.D.

Open Educational Resources - Math

This activity was originally created for a Women in Mathematics course to provide students with a small taste of some basic mathematics connected to the work of Maria Agnesi. The activity has the students look at some of her work in algebra and calculus (optional). It could also be used in other courses, such as history of math, a general education mathematics course, high school or college algebra, and calculus.

Maryam Mirzakhani Riemann Surface Activity, Cynthia J. Huffman Ph.D.

Open Educational Resources - Math

This activity was originally created for a Women in Mathematics course to provide students (who may not yet have taken much upper level mathematics) with a small taste of some basic mathematics connected to the work of Maryam Mirzakhani. In this activity, students investigate some Riemann surfaces and one non-example. The activity could also be used in other courses, such as a general education mathematics course, a course for pre-service elementary teachers, or a history of mathematics course.

Ingrid Daubechies Wavelet Activity (Function Transformations), Cynthia J. Huffman Ph.D.

Open Educational Resources - Math

This activity was originally created for a Women in Mathematics course to provide the students with a small taste of some basic mathematics connected to the work of Ingrid Daubechies on wavelets. The activity could also be used in a high school algebra or college algebra course to motivate transformations of functions, in particular, translation (shifting) and scaling. The functions used are a basic quadratic x², the exponential function e^x , and the sine function, but other functions could be used to fit the level of the students.

Sophie Germain Activity, Cynthia J. Huffman Ph.D.

Open Educational Resources - Math

This activity was originally created for a Women in Mathematics course to provide students, who may not have had an abstract algebra class, with a small taste of some basic mathematics connected to the work of Sophie Germain on Fermat’s Last Theorem. The activity has the students find all primes less than 100 using the Sieve of Eratosthenes and then determine which of those are Germain primes. The activity could also be used in other courses, such as a general education mathematics course or a history of mathematics course.

Emmy Noether And Modular Arithmetic Activity, Cynthia J. Huffman Ph.D.

Open Educational Resources - Math

This activity was originally created for a Women in Mathematics course to provide students, who may not have had an abstract algebra class, with a small taste of some basic mathematics connected to the work of Emmy Noether. The activity has the students perform some basic modular (clock) arithmetic and then investigate real world applications of modular arithmetic to ISBN and UPC codes. It could also be used in other courses, such as a general education mathematics course.

Mathematical Models, Patty Wagner, Marnie Phipps

Mathematics Grants Collections

This Grants Collection for Mathematical Models was created under a Round Nine ALG Textbook Transformation Grant.

Affordable Learning Georgia Grants Collections are intended to provide faculty with the frameworks to quickly implement or revise the same materials as a Textbook Transformation Grants team, along with the aims and lessons learned from project teams during the implementation process.

Documents are in .pdf format, with a separate .docx (Word) version available for download. Each collection contains the following materials:

• Linked Syllabus
• Initial Proposal
• Final Report

Mathematical Modelling Of English Coulee: Tanks In Series, Matthew Picklo

Essential Studies UNDergraduate Showcase

In the scope of the College of Arts and Science project: “Coulee Cleanway: Modelling and Analysis of the English Coulee Physiochemical Environment, UND Campus, Grand Forks”, a mathematical model attempting to describe the transportation of dissolved species within the English Coulee was developed based on “Tanks in Series”. By dividing the channel into discrete regions, a governing system of equations derived from conservation of mass equations and well-mixed assumptions is used to describe the spatial and temporal changes in concentration. The resulting system of differential equations was solved by a Runge-Kutta 4 numerical method, which allowed for the addition of …

Mathematical Surfaces And 3d Printing, Haily A. Slone, R. Duane Skaggs

Celebration of Student Scholarship Poster Sessions Archive

No abstract provided.

Forcing Number, Maximum Nullity, And Minimum Rank Theorems Concerning The Generalized Petersen Graph And Related Observations, Hobert J. Holbrook, R. Duane Skaggs

Celebration of Student Scholarship Poster Sessions Archive

No abstract provided.

Measuring A Rifle’S Recoil Using Wireless Dynamics Sensor System, Seth Baker, Ignacio Birriel

Celebration of Student Scholarship Poster Sessions Archive

No abstract provided.

Effect Of A Pre-Dinner Walnut Snack On Nutrient Intake Among University Students, Michelle E. Lacasse, Mackenzie J. Weis, Lauren S. Devaan, Gabrielle L. Schnellman, Elizabeth M. Gile, Molly D. Ahmann, Ted Wilson, Tisha L. Hooks

Undergraduate Research Celebration 2018

No abstract provided.

Dalton State College Apex Calculus, Thomas Gonzalez, Michael Hilgemann, Jason Schmurr

Mathematics Open Textbooks

This text for Analytic Geometry and Calculus I, II, and III is a Dalton State College remix of APEX Calculus 3.0. The text was created through a Round Six ALG Textbook Transformation Grant.

Topics covered in this text include:

• Limits
• Derivatives
• Integration
• Antidifferentiation
• Sequences
• Vectors

Files can also be downloaded on the Dalton State College GitHub:

https://github.com/DaltonStateCollege/calculus-text/blob/master/Calculus.pdf

Accessible files with optical character recognition (OCR) and auto-tagging provided by the Center for Inclusive Design and Innovation.

Analytic Geometry And Calculus I, Ii, & Iii (Dalton), Thomas Gonzalez, Michael Hilgemann, Jason Schmurr

Mathematics Grants Collections

This Grants Collection for Analytic Geometry and Calculus I, II, & III was created under a Round Six ALG Textbook Transformation Grant.

Affordable Learning Georgia Grants Collections are intended to provide faculty with the frameworks to quickly implement or revise the same materials as a Textbook Transformation Grants team, along with the aims and lessons learned from project teams during the implementation process.

Documents are in .pdf format, with a separate .docx (Word) version available for download. Each collection contains the following materials:

• Linked Syllabus
• Initial Proposal
• Final Report

Calculus I (Fvsu), Samuel Cartwright, Bhavana Burell, Patcharin Marion, Jianmin Zhu

Mathematics Grants Collections

This Grants Collection for Calculus I was created under a Round Six ALG Textbook Transformation Grant.

Affordable Learning Georgia Grants Collections are intended to provide faculty with the frameworks to quickly implement or revise the same materials as a Textbook Transformation Grants team, along with the aims and lessons learned from project teams during the implementation process.

Documents are in .pdf format, with a separate .docx (Word) version available for download. Each collection contains the following materials:

• Linked Syllabus
• Initial Proposal
• Final Report

Calculus Ii (Fvsu), Samuel Cartwright, Bhavana Burell, Patcharin Marion, Jianmin Zhu

Mathematics Grants Collections

This Grants Collection for Calculus II was created under a Round Six ALG Textbook Transformation Grant.

Affordable Learning Georgia Grants Collections are intended to provide faculty with the frameworks to quickly implement or revise the same materials as a Textbook Transformation Grants team, along with the aims and lessons learned from project teams during the implementation process.

Documents are in .pdf format, with a separate .docx (Word) version available for download. Each collection contains the following materials:

• Linked Syllabus
• Initial Proposal
• Final Report

Differential Equations (Fvsu), Samuel Cartwright, Bhavana Burell, Patcharin Marion, Jianmin Zhu

Mathematics Grants Collections

This Grants Collection for Differential Equations was created under a Round Six ALG Textbook Transformation Grant.

Affordable Learning Georgia Grants Collections are intended to provide faculty with the frameworks to quickly implement or revise the same materials as a Textbook Transformation Grants team, along with the aims and lessons learned from project teams during the implementation process.

Documents are in .pdf format, with a separate .docx (Word) version available for download. Each collection contains the following materials:

• Linked Syllabus
• Initial Proposal
• Final Report