Faculty and Students present at 10th Mississippi State Conference on Differential Equations and Computational Simulations October 23-25, 2014
Step collisions in crystal growth, Nick Kirby
Coauthors: Michel Jabbour and Paolo Cermelli
Using logarithmic basis functions to solve singular differential equations, John Garwood (mentored by Dr. Samuel Jator)
Extended backward differentiation formulas with polynomial and non-polynomial basis functions for solving the Black-Scholes partial differential equation, Joseph Hayes (mentored by Dr. Samuel Jator)
2014 MAA MathFest Annual Meeting in Portland, Oregon
(2014 MathFest, Portland, Oregon. From left to right; Apsu students; Justin, Elisha, Dodji , and John)
APSU was well represented at the 2014 Mathematical Association of Mathematics MathFest Meeting held early August in Portland, Oregon. Dr. Ben Ntatin, associate professor of Mathematics, sponsored 4 students' travel to this conference. All four students presented their research at the conference, while Dr. Ntatin himself a national council member of the Pi Mu Epsilon mathematics honor society, assisted in the organization, moderation, and judging of student sessions. The students received travel assistance from the Pi Mu Epsilon national office and the Office of Students' Affairs/Office of Undergraduate Reseach at Austin Peay.
The following APSU students presented at the conference:
Justin Cook: Qualitative Dynamics of MDR-TB and XDR-TB with Isolation
We present a deterministic system of ODE for the transmission dynamics of three mycobacterium tuberculosis (TB) strains, active TB, multi-drug-resistant TB (MDR-TB), and extensively-drug-resistant TB (XDR-TB). The conditions for elimination or persistence of the disease is qualitatively studied via stability analysis of the model. Using sensitivity analysis, response of the system parameters to their associated reproduction numbers are discussed. The impact of isolation of infected individuals on control efforts is determined through simulation.
John Garwood: Using Logarithmic Basis Functions to Solve Singular Differential Equations
Abstract: Numerical methods based on polynomial approximation perform poorly when applied to singular initial value problems. Hence, we are motivated to derive and implement numerical methods involving non-polynomial basis functions such as logarithmic and rational functions. Specifically, by imbedding a constant into the logarithmic function, we are able to overcome any discontinuity issues with the natural logarithm approximant. An efficient method that can handle singular differential equations is developed by using the Taylor Series expansion to optimize the imbedded parameter. Numerical experiments performed show that the methods are more accurate than the Improved Euler’s method. These methods are implemented as predictor-corrector methods.
Elisha Hall: A Quantitative Analysis of SIR-type Malaria Models
Abstract: Malaria is a parasitic infection transmitted by female Anopheles mosquitos which can be fatal if not treated. The CDC reports Malaria had killed more than 627,000 people and created 207 million clinical episodes in 2012 alone. With approximately 1,500-2,000 cases reported every year, America is far from being isolated from this disease.
Sir Ronald Ross was the first to create an analytical model of Malaria and received a Nobel Prize for his work in 1902. Others such as Macdonald and Lotka have built upon this basis to give a refined view of the behavior of Malaria and treatment options. Ross model, a general Kermack-McKendrick SIR-type model, is still being used as a basis to create further models of the Malaria epidemic. This project is a comprehensive analysis of Ross and Ross-Lotka models including determining the equilibrium points, reproduction numbers and stability of the equilibrium point. Further study is done to compare/contrast both models.
Dodji Kuwonu: Solving Elliptic PDE Using Polynomial Basis Functions via Perturbed Collocation
Abstract: In this presentation, we propose a method for solving elliptic Partial Differential Equations (PDEs) using polynomial basis functions via perturbed collocation. The method is implemented without requiring starting values or predictors. Numerical examples such as Poisson Equation, Laplace Equation are solved to show the accuracy of the method.
APSU students perform well at Tennessee Academy of Science meeting
Several Austin Peay State University students took home awards for their outstanding research papers during the 2014 Tennessee Academy of Science Middle Division Collegiate Meeting for Undergraduate Research at Belmont University on April 12.
APSU students David Griffin, Steven Purcell and Donald Hayes received second-place honors for their presentation, "Bernoulli's equation using an ideal fluid in the complex plane.” Dr. Ben Ntatin, associate professor of mathematics, mentored the students. The students are enrolled in Ntatin's Introduction to Complex Analysis class.
APSU students Griffin, Kyle Hayes and Katie Rosenberg earned the third-place award for their presentation "The design of a satellite attitude control system.” Dr. Ramanjit Sahi, associate professor of mathematics, mentored the students. They are enrolled Sahi's Linear Algebra class.
Both Ntatin and Sahi were present to cheer and support the students in this occasion.
MAA 2014--Students, Dodji Kuwonu, Michael McAllister, Bruce Cain, Benjamin Hardin, and Brent Champion, mentored by Ben Ntatin and Samuel Jator and Faculty, Ramanjit Sahi, each presented talks at the MAA Southeastern Section 93rd Annual Meeting
APSU Math Team Dodji Kuwonu, David Zhang, and Ben Firth won 2nd place at the 2014 Southeastern Section MAA Math Jeopardy Contest. They were mentored by Ben Ntatin.
APSU Math Professor Teaches in Honduras
CLARKSVILLE, Tenn. – Earlier this summer Dr. Ben Ntatin, Austin Peay State University associate professor of mathematics, traveled to the Central American nation of Honduras to teach a couple college-level math classes at the Soto Cano Air Base. When he arrived in May, Ntatin discovered the enrollment numbers for his courses were a bit low.
“When I arrived, I had one student,” he said. “I worked really hard to recruit students because some didn’t even know they had tuition assistance available to them. They had to apply to college for the first time.”
Ntatin attended assemblies and meetings at the base, pitching the idea of a college education to the U.S. soldiers stationed at Soto Cano. He eventually convinced nine students to enroll in one course and six to try another one, continuing APSU’s new foray into Honduras.
Last year, the Austin Peay Center @ Fort Campbell decided to offer the soldiers stationed at Soto Cano an option other than online classes. The Center pitched the idea of teaching in Honduras to professors at APSU’s Clarksville campus, and during the spring semester, APSU assistant professor of history Dr. Sheena Harris became the first faculty member to spend a few months at the airbase.
On May 22, Ntatin arrived as the second APSU faculty member to teach in that Central American country. His students were all soldiers stationed at the air base.
“They were very good students,” he said. “It was the same impression I’ve always had of soldiers. They’re very disciplined and a desirable kind of student. I had to be more flexible because they are active duty, and sometimes they went out on missions. Even so, they were very conscientious to make sure they did all their assigned work. I was very impressed.”
In his off hours, Ntatin lived in military housing, ate in the local mess hall and taught himself Spanish.
“I speak many languages, and Spanish was one I always promised myself I would learn,” he said. “I occupied myself during the day trying to learn Spanish, and I came back being able to speak it.”
The Austin Peay Center @ Fort Campbell is looking to continue its presence at the air base, sending APSU professors in subjects such as English, history and mathematics to Honduras for eight weeks each semester. Ntatin said he’d like to go back to motivate these soldiers to pursue a college education.
“Personally, it breaks my heart when I see servicemen and women not having a job,” he said. “You need to see the amount of work they do, the discipline they have and the things they do. I was very forceful about that point when I was recruiting them. You have tuition assistance here so you need to use it. And I think the fire of learning was lit in them.”
For more information on the program, contact Ntatin at email@example.com.
Chiriga N. Moore, Mathew M. Hinson, Bruce E. Cain Jr., Mahmoud Parvizi, Julian Thomas Texidor, Seth Charles, Anderson Coble, Kristen Knight, Joshua Allen Williams, William G. Rich, Michail McAlliter, Traci Grant, Jordan Taylor, Brandy L. Smith, Mark Berghel, Linh Nguyen, Hudson T. Bilbrey, Andrew T. Wilson II, James I. Murtha, Douglas J. Bruce, Murphy Rogers, Travis Tanner, Ms. Audrey Bullock, Dr. Indranil Ghosh
Our students won awards in both the completed and in-progress research category in the poster presentations at 2013 Research Forum.
In-progress Research Category: Liliana Alvarez and Anne French, Connections between Markov Chains and Knot Theory, mentored by Dr. Sahi
Completed Research Category: Donald Buhl-Brown and William Rich, An Analysis of Using Depth Data to Refine Frame Difference Motion Detection Algorithms, mentored by Dr. Nicholson
Students participated and won prizes at the 2013 TAS Middle Division Collegiate Meeting for Undergraduate Research held at Belmont University. The title of the talks are as follows:
Congratulations to Kristen Knight, who was named winner of the Patterson Prize at the 2013 annual meetings of the Southeastern Section of the Mathematical Association of America, Winthrop University, SC. The Walt and Susan Patterson Prize was established in 2006 to encourage undergraduates to participate in the annual meetings. This prize is given to the best student presentations at the annual meeting of the Southeastern Section of the Mathematical Association of America. Kristen won this award for presenting a paper entitled "Applications to generalized distributions", which is part of research she did with Dr. Ayman Alzaatreh.
Student Presentations were as follows:
A COMPARISON OF THE MAPPING PROPERTIES OF SCHLICT FUNCTIONS AND HARMONIC FUNCTIONS. Tia Guarino, Lucas Johnson, Cory Medlin (Mentored by Dr. Ntatin)
An Investigation of the Convergence of the Newton-Raphson Method in the Complex Plane. Mason Yost, James York-Winegar, and Cortney Bramlett (Mentored by Dr. Ntatin)
(Won 3rd place) THE JOUKOWSKY AIRFOIL: TRANSFORMATIONS IN THE COMPLEX PLANE. Zaklina Cetic, Anne French, Yuri Kim, Arkadiusz Piasecki (Mentored by Dr. Ntatin)
Sencond place was won by Ann French and Lilian Alvarez, presenting on ...... (Mentored by Dr. Sahi)
The APSU Mathematical Modeling team has received an Honorable Mention Designation in the International Contest in Mathematical Modeling. Team members are James York-Winegar, Mason Yost, and Michael Walker. Team sponsor and coach is Dr. Raman Sahi. Please join me in congratulating Dr. Sahi and her students.
The Middle Tennessee Mathematics’ Teachers held their annual conference February 3-4, 2012 at Ravenwood High School in Brentwood, Tennessee. The conference was attended by over 240 inservice and preservice teachers. Five APSU faculty and 4 APSU students presented at the conference. Ashley Whitehead presented “Problem Solving and Modeling with Fractions”. She also presented “Student Teaching: the good, the bad, and the ugly.” with Dr. Ann Assad. Additionally, Dr. Ann Assad presented “Early Experiences in Problem Solving through Connections”. Dr. Matt Jones and Dr. Andy Wilson presented “SOARing with Mathematics” with APSU student Katie Mattingly. Dr. Jackie Vogel presented “A Grab Bag of Manipulatives” with APSU students Gena Carter, Meaghan Sikes, and Josh Bunger. An additional 17 students attended the conference as part of a SASI grant, along with about 15 students from Residency I. The students gained valuable experience from this conference as evidenced in the following quotes by Meaghan Sikes and Katie Mattingly. “I really enjoyed this experience and would love to go back!” and “This was definitely a learning experience for me. I feel like I have grown as a speaker and a teacher candidate.”
MathFest, Lexington, KY 2011
1st Prize: ANALIZING MATHEMATICAL BELIEFS USING GEOMETRIC PICTURES. Stephanie J. Jessie*, Austin Peay State University, Clarksville, Tennessee.
2nd Prize: MATHEMATICAL MODEL OF A PROSTHETIC HAND FROM THE MANUFACTURING POINT OF VIEW. Lisa Elliott*, Tia Guarino*, Stephanie Jessie*, and James Winegar*, Austin Peay State University, Clarksville, Tennessee.
3rd Prize: COMPUTATIONAL ANALYSIS OF THE BUGEY NEUTINO OSCILLATION EXPERIMENT. Mason T. Yost*, Austin Peay State University, Clarksville, Tennessee.
Other student presentations:
MAXIMUM CAPACITY OF BEADS FOR A GIVEN JAR. Cortney L. Bramlett*, Megan N. Alvarez*, Austin Peay State University, Clarksville, Tennessee.
SOME GENERALIZATIONS OF SCHLICHT FUNCTIONS DEFINED USING THE SALAGEAN OPERATOR. James York-Winegar*, Austin Peay State University, Clarksville, Tennessee.
CREATING THE IDEAL MATHEMATICS EDIFICE. Kelsey Phillips, Liliana Alvarez, Jonathan Clinard, Anne French, Austin Peay State University, Clarksville, Tennessee.
Faculty presentations at TAS:
KNOTS AND CHIRALITY. Ramanjit K. Sahi, Austin Peay State University, Clarksville, Tennessee.
APPLICATION OF OPTIMAL CONTROL TO THE EPIDEMIOLOGY OF MALARIA DISEASE. Okosun, K. O. Agusto F. B., and Nizar Marcus, Austin Peay State University, Clarksville, Tennessee (OAFB), and University of the Western Cape, South Africa (OK, NM)
THE CANTOR SET – A PATHOLOGICAL SUBSET OF THE REALS. Ben Ntatin, Austin Peay State University, Clarksville, Tennessee.
1) Elliott Lisa
2) Baker R. Byron
3) Foust William L.
4) French Anne Marie
5) Hayes, Christopher R.
6) Jensen Elijah R.
7) Nelson Lawrence D.
8) Sullivan Skylar J.
9) Thompson, Terry E.
10) Smith William T.
11) Lemons Samuel
12) Dr. Ayman Alzaatreh
13) Dr. Folashade Agusto
14) Ms. Smith Nellie R.
1) Liliana M. Alvarez
2) Janica T. Bolden
3) Casey Neil Brock
4) Kevin F. Carrigan
5) Sean M. Cather
6) Tia Guarino
7) Stephanie R. Jessie
8) Yuri Kim
9) Stephen M. Stone
10) James M. Winegar
11) Mason T. Yost
12) Emarus D. Shay
13) Kathryn S. Skinner
14) Dr. Yi-Lin Cheng
15) Dr. Jaime Taylor