**Confirmed Speakers**

Doğan Çömez to Speak On The Mathematics of Modern Communication

Doğan
Çömez studied mathematics at the Middle
East Technical University in Ankara, Turkey, and received his PhD
degree in
mathematics from the University of Toronto, Ontario, Canada. Following
a two
year teaching experience in his alma mater, he joined the Department of
Mathematics at North Dakota State University in 1985.
His main research interest is in dynamical
systems and operator ergodic theory, particularly on the convergence of
additive or superadditive processes and ergodic Hilbert transform. He has also been involved in various
interdisciplinary research collaborations in pharmaceutical science, in
operations research, and in mathematics and science education. He has made numerous mathematical
presentations for the 4-H Club, the Kiwanis Club, Sonya Kovalevski Math
Days
and the North Dakota Governor’s School. He is a leading advocate
for
departmental programs aimed to attract students to Science and
Mathematics. He
is currently the director of the GraSUS Program (originally NSF-funded,
currently institutionalized at NDSU) that places graduate students in
local
high schools, and the ND-PRIME Project (funded by North Dakota State
DPI) that
provides professional development for K-12 mathematics teachers.

ABSTRACT:
Over the last 100 years
our means of communication have been improved and increased, both in
variety
and quality, in numerous ways; and this change/increase is continuing
in a
faster pace. With the advance of
computer technology, new and more effective means of communication have
been
introduced. Although the general public
may not be well aware of it, mathematics is one of the main factors
that
contributed to this change. None of the
modern means of communication we have today (telephone, telex, fax, e-mail,
radio, television, mobile phone, etc.) would
be possible without innovative
use of mathematical concepts.
Surprisingly, many of the concepts that made all these
technological
advances possible are those that form a part of typical math curriculum
in our
universities. In this talk, I will
discuss some of these concepts and how they are utilized in
communication
technology. Some of these concepts are
part
of capstone projects or undergraduate research projects of students at
NDSU whom
I advised.

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Ryan Zerr to Speak On Being Mathematically Inquisitive: How a Simple Beginning Can Lead to a Wealth of Interesting Questions

Ryan Zerr is a Professor and the Associate Chair in the
Mathematics Department at the University of North Dakota.
His background is in operator algebras, but
he’s had the pleasure to work with a number of undergraduate
students on
research projects in dynamical systems.
He is also very interested in undergraduate education generally,
devoting considerable time to teaching a wide variety of undergraduate
courses
in mathematics, as well as directing UND’s First-Year Seminar
Program.

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Takayuki Yamauchi to Speak On “Mathematical Theory of Mechanism of Innovation in Math-Teaching” and “Japan’s Math Teacher Training Programs and their Impact on Japan's Innovation and Economy”

Taka Yamauchi is currently a tenured assistant professor of mathematics at Valley City State University (since 2007). He studied mathematics and physics at Michigan Tech and U.C. Berkeley as an undergraduate, and earned M.A at Western Michigan University, M.S at Michigan Tech, M.A and Ph.D in Mathematics at Johns Hopkins in 1996. He then was a research associate at the Dept. of Chemical Engineering of Johns Hopkins, a research associate at Ryuka Patent Law Firm, a research associate at the Dept. of Computer Engineering of University of Delaware, a visiting assistant professor of mathematics at SUNY Oswego, an assistant professor of mathematics at DePauw University, and an assistant professor of mathematics at Lincoln University. He has publications in the mathematics of nuclear fusion, Lagrange Multiplier Rule in the context of continuous equi-measurable rearrangements of functions and optimization theory, and the constructability of constant mean curvature surfaces in hyperbolic 3-space. He has also been doing research in innovation-based teaching efficiency maximization methods. He has established a self-contained math teaching method that does not require students to read the text at all.
Mathematical Theory of Mechanism of Innovation in Math-Teaching

ABSTRACT: According to K.I. West, "Strengthening a Country by Building a Strong Public School Teaching Profession", Journal of Mathematics Education at Teachers College, Spring–Summer 2013, Volume 4, (p. 77) On the other hand, at the K–12 level, a Michigan State University report entitled “Breaking the cycle: An International Comparison of U.S. Mathematics Teacher Preparation” states, “the weak K–12 mathematics curriculum taught by teachers with an inadequate mathematics background produces high school graduates who are similarly weak. Some of them then become future teachers who are not given a strong preparation in mathematics and then they teach and the cycle continues” (p. 31). This report does not explore the root cause or mechanism of why the weak K–12 mathematics curriculum taught by teachers with an inadequate mathematics background produces high school graduates who are similarly weak. In this presentation, the root cause of this fact is explored by characterizing the mechanism of innovation in math-teaching using elementary combinatorial analysis.
Japan’s Math Teacher Training Programs and their Impact on Japan's Innovation and Economy

ABSTRACT: The Simplex
Method, an algorithm used for mathematical optimization, was developed by George Dantzig.
This algorithm has an interesting past and is widely used today in industry. This talk will
provide a brief history surrounding the discovery (invention) of the method as well as examples
of how the Simplex Method is used today.

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Mitra to Speak On Modeling spatial data using Geographically Weighted Regression

ABSTRACT: In this study, a relatively new
approach,
Geographically Weighted Regression (GWR) is used for modeling data with
spatial
nonstationarity. The model performance of Ordinary Least Squares (OLS)
and GWR
were compared in terms of coefficient of determination (R^{2})
and
corrected Akaike Information Criterion (AICc). Moran’s I and
Geary’s C were
used to test the spatial autocorrelation of OLS and GWR residuals. The
study
showed that all the GWR models performed better than the analogous OLS
models.
Test of spatial autocorrelation of residuals revealed that the OLS
residuals
had higher degrees of spatial autocorrelation than the GWR residuals
indicating
that GWR mitigates the spatial autocorrelation of residuals. A real world data set (crop
residue yield potential data) of 10 North-Central states of the USA was used as an application.

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Laxman to Speak On Longitudinal Analysis of Data on Weight Gain in Rats Exposed to Thiouracil and Thyroxin

ABSTRACT:
Longitudinal
data consists of the repeated measurements of the same subjects
(individuals)
over time. In such data, there is a high correlation among the
measurements due
to the measurement of the same subject repeatedly. We did longitudinal
data
analysis for the rats’ weight gain data originally available in
Applied
Longitudinal Analysis by Fitzmaurice et al. (2004).We
performed Exploratory Data Analysis (EDA),
and fitted linear mixed effects model for the data. The result showed
that the
treatments had different effects on weight gain of rats.

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Nate to Speak
On "Philosophy of Mathematics"

Nate Speidel grew up in Hazen, North Dakota. He attended Bismack State College, Saint John's University (MN),
and earned his Bachelor's degree in math education from the University of Mary. In 2010, he attended the Klingenstein Summer Institute
through Columbia University and completed his master's degree in math teaching through Minot State University. Nate is currently in his
6th year of teaching mathematics at Shiloh Christian High School. He also enjoys chess, travel, playing music, coaching hockey, and
longboarding.

ABSTRACT: Many students have been left unsatisfied with the conventional defense of math education. Is
mathematics truly worth understanding, and, if so, for whom? In order to justify the time invested and
struggle experienced by many, we ought to investigate more than math’s potential application, even more
than its academic reward. Why, fundamentally and philosophically, is mathematics important to study?
“Philosophy of Mathematics” will address these critical questions, exploring appropriate responses from
the mathematics community.

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Breanne to Speak On Parameter Estimation in Avascular Tumor Growth Model

ABSTRACT: This talk outlines a number of mathematical models describing
the
growth of avascular tumors. The

models assume a continuum of cells in two states, living or dead, and
depending on the concentration of generic nutrients the living cells
may reproduce or die. A simple inverse problem technique is used to
estimate model parameters.

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ABSTRACT: Lights Out is a game played on
an n by n grid (traditionally 5 by 5) of "light buttons" wherein each
button press inverts the state of the button pressed and the crosswise
adjacent buttons. The object of the game is, given a randomized starting grid, to turn off all the lights. In
this talk we explore the solvability of Lights Out subject to various
conditions using basic linear algebra.

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ABSTRACT: In this work, we consider an inverse problem involving the
identification and estimation of distributed parameters in parabolic
type initial boundary value problem. Unique solution of the initial
boundary value problem is derived. The time dependent parameter
is determined by using observational data.

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David to Speak On Numerical Approximations to the Heat Equation

ABSTRACT: This talk provides a practical overview of numerical
solutions to heat
equation using the finite difference method. The forward time, central
difference, the backward
time, central difference, and Crank‐ Nicolson schemes are developed.
The results in one dimensional mesh for a model problem are
established. Dependency of truncating errors on mesh spacing and time
step is shown.

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Elliot to Speak On Concave Platonic Solids

ABSTRACT: This
presentation will focus on concave Platonic solids. In geometry class last year, we constructed Platonic
solid mobiles and were assigned a research topic; mine was about the differences between convex and
concave Platonic solids. After doing some research and finding few results, I was intrigued by the
concave figures and decided to explore their construction. Several results as well as approaches to
finding dimensions of these unique figures will be discussed.

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Johannah
to Speak On Schrodinger
Equation in Modeling Energy Level of Hydrogen Atom

Justin to Speak On
Finite Difference Method for the Black‐Scholes Option Pricing Model

ABSTRACT: Finance
is one of the most rapidly changing and fastest growing areas
in the corporate business world. Through these changes, modern
financial instruments have become extremely complex. As a result,
mathematical models are essential to implement and price these
intricate financial instruments. In this particular interdisciplinary
approach, we focus on a ground‐breaking result in finance via
mathematics called the Black‐ Scholes model. In this work, we implement
finite difference methods to solve the Black‐Scholes equation.
Stability, error, and numerical examples are also explored.

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Michal
to Speak On Numerical solution of Heat Equation by Spectral Method

Nicholas to Speak On A Markov Chain Approach to Baseball Run Forecasting

ABSTRACT: We
apply the Stochastic Process of Markov Chains to the game of baseball
to calculate a team's expected run scoring potential and analyze
significant forecasters of a team's offensive output.

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Thomas to Speak On Introduction to Simulated Annealing

ABSTRACT: Simulated annealing is a
search method used for finding a close approximation of the global optimum solution within a solution space.
This presentation is intended to provide an introductory overview of simulated annealing, accompanied by some examples.

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