Department of Mathematics

Department of Mathematics

Program of Sessions

Session on Number Theory   Room: LC 100

Chairs: Anna Haensch, Wesleyan University
John McCabe, Manhattan College

9:40
An Arithmetic Metric
Diego Dominici, SUNY New Paltz

10:00
Pythagorean Triples and the Gaussian Integers
Lynea Snyder, Manhattan College

10:20
p-adic numbers
Glenn Henshaw, Wesleyan University

10:40
The Pell Equation
Anna Haensch, Wesleyan University

11:00
They go on and on...
Emily Dennett, University of Massachusetts Amherst

11:20
In Pursuit: the search for odd perfect numbers
Addie Armstrong, Norwich University

Session on Algebra   Room: LC 103

Chairs: Robert W. McGrail, Bard College
Elisha Peterson, United States Military Academy

9:40
Correcting the Record with Knot Coloring
Robert McGrail, Bard College

10:00
Trace Diagrams and the Gram Determinant
James R. Lee, United States Military Academy

10:20
A family of recursively defined polynomials: Their properties and applications
Steven Goliber, Western Connecticut State University

10:40
The insolubility of the quintic
Dusan Milanovic, St. Francis College

11:00
Babylonian number system and quadratic equation
Nicholas Stano, College of Mount Saint Vincent

11:20
From Prime Factorization to Primary Decomposition
Cameron Bishop, Southern Connecticut State University

Session on Game Theory   Room: LC 104

Chairs: Maria Belk, Bard College
Matthew Glomski, Marist College

9:40
Unusual Payout Scheme in a Bingo-like Carnival Game
Matthew Lopes, Marist College

10:00
An Alternate Approach to Sprouts 
Lionel Barrow and Cedric Cogell, Bard College

10:20
The Value of Information in Simple Competitive Games
Peter Kerkhof, United States Military Academy

10:40
What does it mean to say a game is fair?
Rita Welsh and Alexandra Konneker, Manhattan College

11:00 Are the Rules of Poker Wrong?
Silas Meredith, Horace Mann School

11:20 Playing Games with Abstract Algebra: The "Lights Out" Puzzle
Jenae Beauchamp, Eastern Connecticut State University


Session on Geometry   Room: LC 107

Chairs: David M. Clark, SUNY New Paltz
David Hobby, SUNY New Paltz

9:40
Angular Determinations of a Quadrilateral I
Donald Silberger, SUNY New Paltz

10:00
Angular Determinations of a Quadrilateral II
David Hobby, SUNY New Paltz

10:20
A Resolution of the Geometry Dilemma
David M. Clark, SUNY New Paltz

10:40
No angle axioms
Bjorn Schellenberg, College of Mount Saint Vincent

11:00
How To Measure Angles with a Ruler
Marko Dedovic, St Francis College

11:20
What is the most distant point?
Brianna Frabizio, Manhattan College

Session on Applied Mathematics   Room: LC 108

Chairs: Sunday Chikwendu, SUNY New Paltz
Richard Halpern, SUNY New Paltz

9:40
Cooperation in Pursuit and Evasion
Lucas Gebhart, United States Military Academy

10:00
Coupled Cell Networks and Sea Turtle Population Modeling
Cadet Dominic Senteno, United States Military Academy

10:20
Simple mathematical model of optical-fiber manufacturing: Numerical simulation with CAS Maple
John Lee and Xing Zhu, Western Connecticut State University


10:40
Nonlinear Dynamic Systems in Simple Electronics
Joseph Rappa, SUNY New Paltz

11:00
Mathematical modeling for analysis of infectious diseases
Samia Nazzal, Franco Porto,Rachel Lemmey, Christina Tawfik and Rushabh Jhaveri, Mercy College

11:20
Ordering of Search Engine Results: google it!
Leigh Noble

Session on Numerical Analysis   Room: LC 113

Chairs: Lawrence Fialkow, SUNY New Paltz
Robert Ronkese, US Military Academy at West Point

9:40
Gaussian Quadrature Rule
Carlos Suero, SUNY New Paltz

10:00
How many points?
Lawrence Fialkow, SUNY New Paltz

10:20
An Overview of the Picard Method for Solving ODEs
Olga Stulov and Jason Caggiano, SUNY New Paltz

10:40
Complex Polynomial Modeling: Developments and Applications
Addison Bohannon, United States Military Academy

11:00
Entropy from High Resolution Software Counters
Lucas Enloe, United States Military Academy

11:20
Discrete and Continuous Dynamical Systems via Numerical Methods for Differential Equations
Timothy Andrews, University of Hartford

Afternoon Sessions

Session on Differential Equations   Room: LC 100

Chair: Fotios Paliogiannis, St. Francis College

2:00
The Heat Equation – Derivation and Methods of Solutions
Sandip Hodkhasa, Vaughn College of Aeronautics and Technology

2:20
The Heat Equation – Approximation Methods
Paul LaVergne, Vaughn College of Aeronautics and Technology

2:40
A successful hunt for periodic solutions
Lydia Novozhilova, Western Connecticut State University

3:00
Solving ODE by Factoring the Differential Operator
Stela Mihneva, St. Francis College

Session on Analysis   Room: LV 103

Chairs: Krishnamurthi Ravishankar, SUNY New Paltz

2:00
Business Card Cubes and the Menger Sponge
Elizabeth Scherer and Andrea Orlando, Manhattan College

2:20
The composition of functions 
Hussain Gardezi, College of Mount St. Vincent

2:40
Minimizing Integrals of Constrained Polynomials 
Jean Cesarius, CUNY Queens College

3:00
What's The Largest Area One Can Bound With A Fixed Length of String
Joel Specter, Wesleyan University


Session on Combinatorics   Room: LC 104

Chair: Sean Cleary, The City College of New York

2:00
An Introduction to Ramsey Theory
David White, Wesleyan University

2:20
Rotation distance and binary trees
Rodion Kosovsky, John Passaro, and Yasser Toruno, The City College of New York

2:40
The shortest network problem
Sarah Janssen, Manhattan College

3:00
A brief introduction to the Stable Marriage Problem
Steven Dennett, Wesleyan University

Session on Complex Analysis   Room: LC 107

Chair: Vasil Skenderi, St. Joseph's College

2:00
Mobius Transformation
Kristi Burns, Brian Callen and Christine Turner, St. Joseph's College

2:20
Complex Integration and Causality
Natalie Cartwright, SUNY New Paltz

2:40
Conformally Yours, Rectangles
Joe Fera, Wesleyan University

3:00
Practical Applications of Conformal Mapping in the Complex Plane
Tim Ivancic and Ryan Vinson, SUNY New Paltz


Session on Geometry/Number Theory   Room: LC 108

Chair: Lauren Rose, Bard College

2:00
Voronoi Diagrams Flag Vectors
Liz Jimenez, Bard College

2:20
Out in left field...way out!
Andrew Lazowski, Wesleyan University

2:40
Finite Sums of Fibonacci-Based Sequences
Katharina Carella, Ithaca College

3:00
Toward an Encyclopedia of Finite and Infinite Sums and Products of Fibonacci and Lucas Numbers
Harvey J. Hindin, Emerging Technologies Group, Inc.

Session on Mathematics Education/ Operations Research

Room: LC 113 Chair: Robert Decker, University of Hartford

2:00
Qualitative Graphing Techniques
Fred Rickey, United States Military Academy

2:20
Collaborative projects in an undergraduate mathematical modeling course
Doug Fletcher and Aaron Elliott, United States Military Academy

2:40
Dynamic Java Applets for Mathematical Visualization the Easy Way
Victor Sklutovsky, University of Hartford

3:00
Methods in Operations Research
Desislava Slavova, Norwich University
Lecture Center Lobby


Poster Session
3:30 – 4:00   Lecture Center Lobby

An OpenMath Content Dictionary for Finite Quandles
Georgi Smilyanov, Bard College

Dynamical Analysis of the Quadratic Function "Q(x) = x2 + c"
Joseph Ruotolo, SUNY New Paltz

Effects of alpha-pinene on the Musca Domestica
Angela Acevedo, SUNY New Paltz

Enhancement of Understanding Algebraic Concepts using Cryptographic Algorithm
Casey Kondelka, Mayra Avila, Stephanie Bann and Jose Valerio, Mercy College

Euler Circuits
Kyle Bryant, Stephanie Delgado and Pedro Hernandez, SUNY New Paltz

Modeling the Energy Usage of Cell Phones
Sebastian McDaniel, Jennifer Goldfuss, and Daniel Radil, Southern Connecticut State University

New Paltz Waltz
Jessica Mandia, SUNY New Paltz

Planning and Scheduling
Natalie Teresa Medrano and James Vazquez, SUNY New Paltz

QuanDLe
Jackie Bow and Bella Manoim, Bard College

Visualizing Quandles in Mathematica
Aleksandar Chakarov, Adina-Raluca Stoica and Petar Stojanov, Bard College

Voronoi Diagrams Face and Flag Vectors
LizJimenez,BardCollege