Mathematics Commons^™

A Euclidean Proof For The Fourth Postulate, José Gil-Férez, Piotr Błaszczyk, M. Andrew Moshier, Alberto Naibo, Marco Panza, Jean-Michel Salanskis

MPP Published Research

We discuss some classical conundrums about Euclid's Fourth Postulate. Our inquire sheds lights on the role the postulate is playing within the deductive structure of Book I of the Elements and provides a proof of it fully admissible within Euclid's original setting.

Module 5 - Project, Karon Klipple, Cheryl Hedden

Module 5 Assessments

For this project, you will create a video in which you TEACH someone how to find the surface area and volume of a box.

Module 5 - Student Workbook, Karon Klipple, Cheryl Hedden

Module 5 Workbook

No abstract provided.

Module 4 - Project, Karon Klipple, Cheryl Hedden

Module 4 Assessments

Project 4 – Exponential Functions & Properties of Exponents

Module 3 Barbie Bungie Contest, Karon Klipple, Cheryl Hedden

Module 3 Assessments

Your goal is to have Barbie or Ken safely bungie jump from 218cm above ground.

Whichever group gets their Barbie or Ken closest to the ground, without hitting their head, wins!

Module 3 - Exam, Karon Klipple, Cheryl Hedden

Module 3 Assessments

Use only class notes and assignments and Use of calculator, computer and internet is forbidden. Do not get help from others and just take it by yourself.

Module 3 - Student Workbook, Karon Klipple, Cheryl Hedden

Module 3 Workbook

No abstract provided.

Module 3 - 3.3 Activity Cards, Karon Klipple, Cheryl Hedden

Module 3 Workbook

No abstract provided.

Module 4 - Project 4.2 - Mutual Funds, Karon Klipple, Cheryl Hedden

Module 4 Assessments

Mutual funds are another type of investment used by many people. A mutual fund is a company that brings together money from many people and invests it in stocks, bonds, or other assets. Each investor in the fund owns shares, which represent a part of these holdings. Mutual funds are an attractive investment to many people for several reasons.

Module 4 - Solar System Activity Cards, Karon Klipple, Cheryl Hedden

Module 4 Workbook

No abstract provided.

Module 4 - Rules Of Exponents Game, Karon Klipple, Cheryl Hedden

Module 4 Workbook

No abstract provided.

Module 4 - Student Workbook, Karon Klipple, Cheryl Hedden

Module 4 Workbook

No abstract provided.

Ramanujan–Fine Integrals For Level 10, Shaun Cooper, Timothy Huber, Jeffery Opoku

School of Mathematical & Statistical Sciences Faculty Publications

We investigate the question of when an eta quotient is a derivative of a formal power series with integer coefficients and present an analysis in the case of level 10. As a consequence, we establish and classify an infinite number of integral evaluations such as

∫e−2π/10√0q∏j=1∞(1−qj)3(1−q10j)8(1−q5j)7dq=14(10−45–√−−−−−−−−√−1). We describe how the results were found and give reasons for why it is reasonable to conjecture that the list is complete for level 10.

Module 1 Exam, Karon Klipple, Cheryl Hedden

Module 1 Assessments

Directions:

- Your exam must be completed by you and you alone.

- No resources - books, websites, people - can be used, except a calculator.

- You will have to sign a statement affirming that you followed these rules.

- Once you start the exam, you must finish it.

- The exam includes 11 questions.

- It will probably take you about an hour, but Canvas will allow you up to 4 hours to complete it.

- The exam is due NO LATER THAN Thursday February 15th at 12:45pm. NO LATE EXAMS WILL BE ACCEPTED. I encourage you to …

Identities For Whitehead Products And Infinite Sums, Jeremy Brazas

Mathematics Faculty Publications

Whitehead products and natural infinite sums are prominent in the higher homotopy groups of the n-dimensional infinite earring space En" role="presentation"> and other locally complicated Peano continua. In this paper, we derive general identities for how these operations interact with each other. As an application, we consider a shrinking wedge of finite (n−1)" role="presentation">-connected CW-complexes and compute the infinite-sum closure W2n−1(X)" role="presentation"> of the set of Whitehead products [α,β]" role="presentation"> in π2n−1(X)" role="presentation"> where α,β∈πn(X)" role="presentation"> are represented in respective sub-wedges that meet only at the basepoint. In particular, we show that W2n−1(X)" role="presentation"> is canonically isomorphic to …

Biophysical Modeling And Experimental Analysis Of The Dynamics Of C. Elegans Body-Wall Muscle Cells, X. Du, J. Crodelle, Victor J. Barranca, S. Li, Y. Shi, S. Gao, D. Zhou

Mathematics & Statistics Faculty Works

This study combines experimental techniques and mathematical modeling to investigate the dynamics of C. elegans body-wall muscle cells. Specifically, by conducting voltage clamp and mutant experiments, we identify key ion channels, particularly the L-type voltage-gated calcium channel (EGL-19) and potassium channels (SHK-1, SLO-2), which are crucial for generating action potentials. We develop Hodgkin-Huxley-based models for these channels and integrate them to capture the cells’ electrical activity. To ensure the model accurately reflects cellular responses under depolarizing currents, we develop a parallel simulation-based inference method for determining the model’s free parameters. This method performs rapid parallel sampling across high-dimensional parameter spaces, …

Module 1 Check Ups, Karon Klipple, Cheryl Hedden

Module 1 Assessments

No abstract provided.

Module 1 Project I, Karon Klipple, Cheryl Hedden

Module 1 Assessments

Your instructor will give you a variety of news clippings that include percentages and a set of questions associated with each. Select one that you find the most interesting.

Activity 1.4 Cards, Karon Klipple, Cheryl Hedden

Module 1 Workbook

No abstract provided.

Activity Percentage Contexts Cards, Karon Klipple, Cheryl Hedden

Module 1 Workbook

No abstract provided.

Module 1 Student Workbook, Karon Klipple, Cheryl Hedden

Module 1 Workbook

No abstract provided.

Module 2 Exam Questions, Karon Klipple, Cheryl Hedden

Module 2 Assessments

Use only class notes and assignments and NOT computers, Internet and calculator.

Module 2 Check Ups, Karon Klipple, Cheryl Hedden

Module 2 Assessments

Table : Matching Division Expressions

Module 2 Fall 2024 Project Sample, Karon Klipple, Cheryl Hedden

Module 2 Assessments

Individual Tax Rates for New Mexico

Module 2 - Student Workbook, Karon Klipple, Cheryl Hedden

Module 2 Workbook

No abstract provided.

Module 2 - Warm Up 2c.5 Cards, Karon Klipple, Cheryl Hedden

Module 2 Workbook

No abstract provided.

Module 2 Power Point Activity 2a.3, Karon Klipple, Cheryl Hedden

Module 2 Workbook

No abstract provided.

Module 2 Part A - Multiplication Is Repeated Addition, Karon Klipple, Cheryl Hedden

Module 2 Workbook

No abstract provided.

Module 2 Activity - 2b.4 Cards, Karon Klipple, Cheryl Hedden

Module 2 Workbook

No abstract provided.

Module 2 Activity- 2b.3 Cards, Karon Klipple, Cheryl Hedden

Module 2 Workbook

No abstract provided.