On Saturday, all events are in the Engineering Building (#26 on the map), except for lunch which is in Jones Dining Hall (#25 on the map).
Campus map
Friday, April 28
Section NExT
HM 154W
Workshop
4:00-6:00
HM 150W
Authentic assessment in mathematics: expanding student opportunities while minimizing faculty workload
Marcella Torres (on behalf of MD-DC-VA COMMIT)
University of Richmond
Show abstract
We all know that “real” math doesn't involve producing known answers to prompts in a timed setting, yet this is the skill we most commonly test in our students. Authentic assessments are an equitable and inclusive alternative, in which students apply knowledge gained in the classroom to meaningful tasks with real world applications. In mathematics courses, for example, an authentic assessment might be one that addresses skills such as communicating technical material or generating original problems. In this workshop, we will explore ways to expand our assessment toolbox, beginning by reflecting on what skills we want students to demonstrate at the end of our courses and beyond, and using these outcomes to guide the development of assessments. We will discuss how to build flexibility into grading schemes for these non-traditional assessments, and the inclusion of peer review and opportunities to revise in response to feedback. I will provide some examples of alternative assessments, rubrics, and student work in calculus, created as part of an ongoing study of the impact of alternative versus traditional assessment on student self-efficacy, time management, stress, engagement, and perceived learning. I will also share some of the ways I have reduced my workload while moving away from traditional exams &endash; a process that has not been without missteps and pitfalls along the way! The goal will be to spend some time developing a rough outline for an authentic assessment of one learning objective or student outcome for your course.
Registration
6:00-7:00
Gateway Dining Hall
Reception
6:00-7:00
Gateway Dining Hall
Welcome
7:00
Gateway Dining Hall
Dr. Dawit Haile, Professor of Mathematics and Dean of College Engineering and Technology
Banquet
7:00-8:00
Gateway Dining Hall
Banquet Talk
8:00-9:00
Gateway Dining Hall
Cutting corners: you miter enjoy this talk
Karen Bliss & Greg Hartman
Society for Industrial and Applied Mathematics, Virginia Military Institute
Show abstract
What happens when a math nerd reads the manual for a compound miter saw and spots a graph? He shares it with another woodshop-loving math nerd who is equally curious, and down the rabbit hole they go. We'll start with what a compound miter saw is and what it's used for, and talk about how we used calculus-level principles to explore some interesting ideas that come up when exploring the math of making boxes with a compound miter saw.
Saturday, April 29
Section NExT
EB 215
Registration
8:00-noon
EB First Floor Lobby
Breakfast
8:00-9:00
EB 119
MAA Book Sale
8:00-3:30
EB First Floor Lobby
Contributed Paper Session 1
8:20-8:40
8:20-8:40
EB 202
The Calendar Reuse Problem
Dan Kalman
American University
Show abstract
In spite of ubiquitous calendar-apps on smart phones,
various organizations insist on sending me wall calendars. If you are
like me, you start each year with a stack of unused calendars from the
preceding year. Have you ever asked yourself, "When will such
calendars again be useable?". The answer is not difficult to
discover, but is surprisingly elegant: For n between 1901 and 2072,
the calendar for year n will next be usable in 28 years if n=0 mod 4,
in 6 years if n=1 mod 4, and in 11 years otherwise. Details, proofs,
and extensions will be discussed in this talk.
8:20-8:40
EB 204
Connection Problems in Graphs
Jason Rosenhouse
James Madison University
Show abstract
Mathematicians have devised a number of methods for
measuring the resiliency of a graph. One such method is the
isoperimetric number, which, roughly, measures how many edges need to
be cut to splinter off a large number of vertices. We will consider
isoperimetric problems related to certain graphs that arise from
number theory and geometry. We will also introduce some basic ideas
in algebraic graph theory.
8:20-8:40
EB 205
A Reflection on Project Based Learning in Calc I
Chase Mathison
Shenandoah University
Show abstract
Project Based Learning (PBL) is a model of education
in which learning is motivated through big, real world problems or
projects that students have an extended amount of time to complete.
These projects serve as a vehicle for introducing new ideas, not just
for practicing skills that have already been learned. This model of
instruction and learning is not new, however there are not a lot of
concrete examples of how to implement PBL in practice in a mathematics
classroom, especially in higher education. This talk is a reflection
on using PBL in a Calculus I class in the Fall of 2022: what worked,
what didn’t, and some ideas for how PBL can be implemented in
mathematics classes in higher education.
8:20-8:40
EB 210
(student talk)
Primary resonance analysis for the Duffing equation with
delay
D'Angelo Holder
Virginia Commonwealth University
Show abstract
Duffing equation is a common model used in the study
of Micro Electro Mechanical Systems (MEMS). If one wants to remotely
adjust the parameters of this system, this introduces the time delay
in it. In this talk we will analytically describe the primary
resonance phenomenon for the Duffing equation with cubic nonlinearity
and with the delay in zero's and the first derivative terms.
8:20-8:40
EB 211
(student talk)
Generalizations for Maxwell's Equations to Yang-Mills
Equations
Abigail Swanson
University of Mary Washington
Show abstract
Maxwell’s equations create the basis of the theory of
electromagnetism, showing how magnetic fields and electric fields
relate to each other as they move through space and time. We
reformulate Maxwell’s equations in the aspect of differential
geometry. We then generalize Maxwell’s equations on space-time
manifolds to Yang-Mills equations on the lifting bundles of the
space-time manifolds using connections, curvatures, and Gauge
transformations.
Contributed Paper Session 2
8:45-9:05
8:45-9:05
EB 202
Fun with L(2,1)-labeling
Brian Heinold
Mount St. Mary's University
Show abstract
L(2,1)-labeling involves labeling the vertices of a a
graph with integers to satisfy two rules: (1) adjacent vertices have
labels that differ by at least two; (2) vertices at distance two from
each other get different labels. It's a well-studied problem, and
also surprisingly fun as a puzzle. I've used it in a liberal arts
math class, and I built a simple online app to play L(2,1) "puzzles".
This talk will be about what's known about L(2,1)-labeling, how I've
used it in classes, and the app.
8:45-9:05
EB 204
The geothmetic meandian and other topical functions
Brian Lins
Hampden-Sydney College
Show abstract
The geothmetic meandian is a made up function
introduced as a joke in the comic XKCD by Randall Munroe. It is also
a nice example of what are known as topical functions in nonlinear
Perron-Frobenius theory. We'll talk about the properties of the
geothmetic meandian and other topical functions. We'll also look at
some cool applications of these functions and give a very brief
introduction to nonlinear Perron-Frobenius theory.
8:45-9:05
EB 205
An easy on-ramp to mastery-based grading
Jay Daigle
The George Washington University
Show abstract
Mastery grading schemes seek to evaluate whether
students master the material by the end of the course, rather than
demanding flawless performances from the beginning. At their best,
they keeps students motivated to learn and grow, while minimizing the
stress surrounding assessments.
But it can be labor-intensive to start using mastery grading, and
difficult to reconcile it with external expectations for assessment.
In this talk I'll describe the simple, low-effort on-ramp I used to
begin mastery grading, describe some benefits and drawbacks, and
compare it to the more sophisticated approach I use after a few years
of development.
8:45-9:05
EB 210
(student talk)
Strong Homotopy Lie Algebras
Samuel Bevins
Virgina Commonwealth University
Show abstract
We describe a procedure to attach a nilpotent strong
homotopy Lie algebra to every simple hypergraph and prove that two
hypergraphs are isomorphic if and only if the corresponding strong
homotopy Lie algebras are isomorphic. As an application, we
characterize hypergraphs admitting a system of distinct
representatives in terms of symplectic forms on the corresponding
strong homotopy Lie algebra. We conclude with a combinatorial
description of the cohomology of these strong homotopy Lie algebras in
low degree.
8:45-9:05
EB 211
(student talk)
The effects of grazing functions on mixotrophic plankton
populations during seasonal blooms
James Ripple
St. Mary's College of Maryland
Show abstract
We use a system of ordinary differential equations to
simulate phytoplankton blooms in the presence of mixotrophic
zooplankton (zooplankton that can both photosynthesize and graze on
other plankton). A common problem with such models lacking mixotrophy
is unrealistically low levels of zooplankton during a bloom. To
address this issue we incorporate mixotrophic zooplankton and
incorporate a logistic function describing zooplankton grazing
behavior. We compare the logistic grazing function to the commonly
used Sigmoidal grazing function and their effects on the system’s
solutions. Accounting for a limited food (phytoplankton) supply and
its effect on zooplankton grazing, we attempt to model more realistic
plankton bloom behavior. Our aim is to achieve a more realistic
zooplankton population during phytoplankton shortages. We test these
grazing functions for their effects on blooming behavior to improve
our model of the ecosystem.
Contributed Paper Session 3
9:10-9:30
9:10-9:30
EB 202
Bookstores, Bake Sales, and Binary Balance
Alex Meadows
St. Mary's College of Maryland
Show abstract
Suppose that you and your adversary are the only
customers at the local bookstore, and you take turns buying books, but
each of you always buy from one of the five shelves in the store. The
goal is to be the last one to buy books before the store closes, and
the store has a policy that it will close when there are two empty
shelves. This game, which we call Bookstore, is a version of a
classical combinatorial game called Gale's Nim, which is itself a
variant on the ultimate classical game Nim. We will discuss winning
strategies for Bookstore and its close relative, Bake Sale, and
reflect on the symmetries at the heart of such strategies.
9:10-9:30
EB 204
Debias Random Forest Regression Predictors
Lihua Chen
James Madison University
Show abstract
The random forest can reduce the variance of
regression predictors through bagging while leaving the bias mostly
unchanged. In general, the bias is not negligible and consequently
bias correction is necessary. The default bias correction method
implemented in the R package randomForest often works poorly. In this
work, we explore and compare several alternative approaches which in
general outperform the R default substantially. We further developed
practical suggestions on the application of the winner of these
methods and proposed a visualization technique to help users decide
when bias correction is needed.
9:10-9:30
EB 205
A Partial Mastery Grading Approach for Calculus
Benjamin Wilson
Stevenson University
Show abstract
In this talk we will explore a partial mastery-based
grading approach that I have used in Calculus and Precalculus
involving a set of Core Learning Targets that students can attempt to
master on weekly quizzes, exams, or outside of class if needed.
9:10-9:30
EB 210
(student talk)
Application of Image Compression using SVD
Isaac Edwards
Virginia State University
Show abstract
Large digital images can be represented by large
matrices which required huge memory space to store. For example, an
m-by-n image can be represented as an m-by-n matrix A, where the entry
(i, j) is interpreted as the brightness of pixel (i, j). In order to
save memory space, we often prefer to compress the image from which we
can still approximately reconstruct the original image. This can be
achieved by computing the SVD of A and expressing it as a sum of
rank-1 matrices. We will remove the smallest singular values that
contribute the least to the image matrix without losing much of the
overall quality of the image. Then we will convert the image by adding
some of the singular values to observe the clarity of the image. This
process of removing the smaller singular values will result in a loss
of some of the image refinement, but overall, we will return most of
the features of the full image. This will be implemented in MATLAB.
9:10-9:30
EB 211
(student talk)
Dietary Habits and Physical Activity Levels in Roanoke,
Virginia and Buenos Aires, Argentina: A Comparative Analysis Using
Surveillance Data
Claire Williams
Roanoke College
Show abstract
Both the United States and Argentina struggle with
weight-related issues, despite the fact that they have different
cultures of diet and physical behavior. Two different public
elementary schools were surveyed in order to further examine their
food habits and physical behaviors. Round Hill Elementary School is
located in Roanoke, Virginia, and was surveyed for the Roanoke Valley
Community Healthy Living Index in 2021. Gervasio Posadas Nº 25 – D.E.
3º is located in Buenos Aires, Argentina, and was surveyed for this
comparative analysis in 2022. There were statistically significant
differences in food habits and physical activity levels between the
locations, for example, accessibility to healthy food, home food
preparation, and how frequent children are active during the week.
9:10-9:30
EB 104
Maple Learn: Teaching, learning, and doing math online just got easier!
Jennifer Iorgulescu
Maple
Show abstract
Maple Learn: Teaching, learning, and doing math online just got easier! Maplesoft created Maple Learn to help schools amplify their mathematics teaching excellence and provide engaging, interactive experiences for their students. This presentation illustrates how Maple Learn provides a flexible interactive environment for solving problems, a great platform for conceptual learning, and incredibly simple content development and deployment solutions.
Welcome
9:45
EB 120 Auditorium
Dr. Donald Palm, Provost and Vice President for Academic Affairs
Invited address
9:45-10:50
EB 120 Auditorium
Can we make grace the norm in our classrooms?
Candice R. Price
Smith College
Show abstract
For much of my life, I was always confused about the way that people perceived the relationship between students and instructors in the classroom, especially in mathematics. There is such an adversarial relationship that even sharing my career choice with strangers leads to groans and stories of trauma. I believe this is what happens in a classroom without grace. So when we add grace the opposite should happen, right? During our time together, I hope to discuss with you the ways that I incorporate grace in my classroom and why many people think it is radical. I invite everyone to come and reflect on ways they can make grace the norm in their classrooms and spaces.
Meeting of the General membership
11:00-12:00
EB 120 Auditorium
Radical Dash
11:00-12:00
Outside the EB backyard
Lunch
12:00-1:00
2nd floor Jones Dining
Jeopardy
1:05-2:05
EB 120 Auditorium
Invited address
2:15-3:15
EB 120 Auditorium
Growing MADDER: Building the “Mathematicians of the African Diaspora Database's Ensemble of Researchers”
Edray Goins
Pomona College
Show abstract
In 1997, Scott Williams (SUNY Buffalo) founded the website “Mathematicians of the African Diaspora,” which has since become widely known as the MAD Pages. Williams built the site over the course of 11 years, creating over 1,000 pages by himself as a personal labor of love. The site features more than 700 African Americans in mathematics, computer science, and physics as a way to showcase the intellectual prowess of those from the Diaspora. Soon after Williams retired in 2008, Edray Goins (Pomona College), Donald King (Northeastern University), Asamoah Nkwanta (Morgan State University), and Weaver (Varsity Software) have been working since 2015 to update the Pages. Edray Goins and Robin Wilson (Cal Poly Pomona) led a research group of 13 undergraduates during the 2021-22 academic year to write more biographies for the new MAD Pages.
In this talk, we discuss the results from MADDER (Mathematicians of the African Diaspora Database's Ensemble of Researchers), recalling some stories of the various biographies of previously unknown African American mathematical scientists, and reflecting on some of the challenges of running a math history REU. This project is funded by the Center for Undergraduate Research in Mathematics (CURM).
In this talk, we discuss the results from MADDER (Mathematicians of the African Diaspora Database's Ensemble of Researchers), recalling some stories of the various biographies of previously unknown African American mathematical scientists, and reflecting on some of the challenges of running a math history REU. This project is funded by the Center for Undergraduate Research in Mathematics (CURM).
Undergraduate Poster Session
3:30-4:00
EB 2nd floor lobby
Contributed Paper Session 4
3:30-3:50
3:30-3:50
EB 202
Formally Verifying Run-time Assurance
J Tanner Slagel
NASA Langley Research Center
Show abstract
Runtime assurance is a control framework where a
complex controller operates under the observation of a monitor. If the
monitor detects the controller exhibiting undesirable behavior,
control is passed off to a trusted controller until a desirable state
is regained.
The runtime assurance architecture provides a layer of assurance to
the system being controlled, but special care must be taken that the
resulting overall system, consisting of the monitors and controllers,
is behaving as intended.
This talk aims to rigorously model and reason about runtime
assurance-equipped systems as hybrid programs- which are models that
consist of both discrete and continuous components. Using the
verification tool Plaidypvs, safety properties of an aircraft flying
in a geofenced environment is shown.
3:30-3:50
EB 204
Using student constructed data sets to their fullest potential
Allen (Gregg) Harbaugh-Schattenkirk
Longwood University
Show abstract
In this talk, I will present a student built data set that multiple sections of different classes contributed to. Along with describing the data and how the students went about collecting it, I will also show how I was able to use the data in various formats for a variety of student assessments and instructional moments. In this talk, I will also demonstrate how an open education resource like MyOpenMath can help support our use of collaboratively constructed data sets in the undergraduate statistics and data science classrooms.
3:30-3:50
EB 205
MAA's NREUP and Howard's Program
Dennis Davenport
Howard University
Show abstract
Each summer, through grants provided by NSF, MAA funds small REU programs that are designed to give summer enrichment for undergraduate students who attend the host institution and are interested in studying mathematics. MAA's program is called the National Research Experience for Undergraduates Program (NREUP). In this presentation, we describe MAA's program and provide some funding rate data. Included in the presentation will be data used when the NREUP program was developed. In 2021 Howard University received an NREUP grant. In this presentation, we will also describe Howard's program.
3:30-3:50
EB 210
(student talk)
The Critical Group of Hypercube Graphs
Colby Sherwood
James Madison University
Show abstract
The critical group of a graph is an important
invariant in algebraic graph theory. For hypercube graphs, the
structure of the critical group is known except for the 2-Sylow
subgroup. However, using the representation theory of symmetric
groups, we can build a framework to understand this 2-Sylow subgroup
in terms of the dimensions of Specht modules.
3:30-3:50
EB 211
(student talk)
Looking At Chaos With Triple Pendulums
Cameron Veach
Shenandoah University
Show abstract
This presentation will look into chaos modeled by
multiple pendulums. by changing the parameters, we study how chaos is
created and evolved.
Contributed Paper Session 5
3:55-4:15
3:55-4:15
EB 202
Geometric Vertex Decomposition and Toric Ideals of Graphs
Agnieszka Nachman
Virginia State University
Show abstract
For any finite simple graph, we can define an
algebraic structure using certain polynomials defined by the closed
even walks of the graph. Using this structure, we can study the
properties of the graph using tools from algebra. One of these tools
is called geometric vertex decomposition, and it is currently unknown
which graphs possess a geometric vertex decomposition. In an attempt
to classify all graphs which have this structure, we investigate
techniques which help simplify the problem, and apply these methods to
an infinite family of graphs.
3:55-4:15
EB 204
Understanding false positives: an undergraduate
application of conditional probability
Alice Petillo
Marymount University
Show abstract
Having an understanding of false positives a few
decades back was a great comfort to me personally when a blood
donation triggered an early detection HIV test. I knew intellectually
that it was more likely to be a false positive than a true positive.
Medical testing is an example of conditional probability that almost
everyone encounters. Given the recent COVID pandemic, understanding
how medical testing works is an important and relevant skill. We
demonstrate the difference between:
1) If I have the disease, what is the probability I will test
positive?
2) If I test positive, what is the probability I have the disease?
I include this type of problem in our Statistical Analysis course
which many undergraduates take to satisfy their math requirement.
Examples and explanations will be provided.
3:55-4:15
EB 205
Middle School Math Modeling Outreach Day
Meagan Herald
Virginia Military Institute
Greg Hartman
Virginia Military Institute
Karen Bliss
Society for Industrial and Applied Mathematics
Show abstract
This winter we developed and ran our inaugural middle
school mathematical modeling contest for local eighth grade students.
We will describe why we decided to do this outreach, the logistics of
the event from start to finish, and the positive feedback we received.
Our hope is to expand this modeling outreach day to other
colleges/universities.
3:55-4:15
EB 210
(student talk)
Predicting the Jet Boundary of a Turbulent Coanda Wall
Jet Using Experimental Test Results
Matthew Caulfield
James Madison University
Aidan Chadha
James Madison University
Show abstract
The Coanda effect is the tendency of a fluid to stay
attached, and follow the curvature of a rounded surface. Turbulent
Coanda wall jets, often seen in aeronautical and aerospace
applications, utilize this effect to enhance flow lift and deflection,
and change the location of jet breakaway points. Jet breakaway is the
scenario in which the fluid no longer follows the curvature but
instead travels tangential to the surface. The relationship between a
Coanda jet’s fundamental characteristics (such as slot width and
operating pressure), its acoustics emission, and the location of jet
breakaway is not widely understood. In particular, it is argued that
if better predictions of Coanda jet noise were available, the benefits
associated with the Coanda effect would be more widely realized. For
example, it has been observed that curved jets are often noisier than
similar non-curved jets. The work presented herein attempts to rectify
the lack of knowledge in this area; specifically addressing the issue
of how the Coanda jet boundaries are influenced by jet operating
characteristics. A model describing the jet boundary as a function of
slot width (w) and operating pressure (p) is determined based on
recent experimental data. Predications are then compared with
additional experimental results and conclusions drawn. The method of
Least-squares Optimization is also applied to the data to improve this
model, perhaps yielding more accurate agreement with measurements.
3:55-4:15
EB 211
(student talk)
Exploring the Relationship between Elliptic Curves and
Discrete Logarithms
Kelsey Ellis
Shenandoah University
Show abstract
Elliptic curve cryptography is considered one of the
most secure methods of encryption because of the difficulty in solving
the elliptic curve discrete logarithm problem. Using the cyclic nature
of some elliptic curves and polynomial interpolation methods we seek
to investigate the relationship between elliptic curves and the
Discrete Logarithm problem. By looking at points generated by a cyclic
elliptic curve we will interpolate a polynomial to see if it can
produce a key for the discrete logarithmic function.
Contributed Paper Session 6
4:20-4:50
4:20-4:50
EB 202
Image reconstruction using an adaptive Kaczmarz method
for Electrical Impedance Tomography problems
Sanwar Ahmad
Virginia State University
Show abstract
Electrical impedance tomography (EIT) is an imaging
modality that determines the internal conductivity and permittivity
distribution based on the voltage measurements made on an object’s
surface when currents are applied. Due to its non-invasiveness,
non-ionizing characteristics and cost effectiveness, EIT is gaining a
lot of attention in recent years. In this presentation, we discuss
the implementation of an adaptive iterative Kaczmarz method for
solving the inverse EIT problems.
4:20-4:50
EB 204
Transforming Technology to Transform your Statistics Class
Marggie Gonzalez-Toledo
Frederick Community College
Mary Guzman
Frederick Community College
Show abstract
Have you hear about RGuroo? We will be sharing this
amazing tool, all the great features it has and how we use it in our
statistics courses. We will also talk about some activities we have
adapted using RGuroo and how we have used it to transform our
statistical courses.
4:20-4:50
EB 205
An Introductory Mathematical Modeling Course without
Calculus
Gregory Hartman
Virginia Military Institute
Sara Whipple
Virginia Military Institute
Show abstract
This talk will describe an introductory, two course
sequence in mathematical modeling that does not involve calculus
created for non-STEM students. We'll talk about the motivation for the
sequence creation, the content, and successes and shortcomings we've
observed.
4:20-4:50
EB 210
(student talk)
FFEM for Elliptic State Constrained Optimal Control
Problems
Andre Mas
James Madison University
Show abstract
Given an elliptic state constrained optimal control
problem defined over an axisymmetric domain, Fourier series
decomposition can be used to turn this 3D problem into a sequence of
weighted 2D problems. We describe a Fourier finite element method for
this problem, and display various numerical examples.
4:20-4:50
EB 211
(student talk)
Mosquito Surveillance and Population Dynamics with Impact
on Human Epidemiology
Caleb Rivers
Shenandoah University
Show abstract
Aedes mosquitoes use artificial containers filled with
water to reproduce1,2,3 . Aedes japonicus is a newly invasive species
from Japan in the 1990s, Aedes albopictus was established Ae.
albopictus Ae. japonicus Culex
in North America in the 1980s, and Aedes aegypti during the 15th
century4,5, 6. Ae. albopictus may be outcompeting Ae. aegypti in
Virginia but the prevalence of Ae. japonicus is largely unknown5,6.
Ae. albopictus found in Sri Lanka were found to have a salinity
tolerance of 8- 12ppt salinity2. Ae. aegypti mosquitoes show larval
physiological tolerance-adaptations to salinity, such as changes to
larval cuticles and an increase Ssk expression in midgut2,7.
Salinity-tolerance adaptations could result in changes to the mosquito
disease vector and arboviral epidemiology, however the impact of
salinity-tolerance adaptations is widely unknown in a world facing
rising sea levels and increases in freshwater salinity. We predicted
that Ae. albopictus and Ae. aegypti would be the two most prevalent
Aedes mosquitoes, with different species composition in urban and
rural locations. Aedes oviposition will prefer lower salinity and
increased salinity will decrease survival. We also predicted not
gathering many Culex mosquitoes.
Student Awards Ceremony
5:00-5:10
EB 120 Auditorium