Abstracts for presentations    Additional Abstracts for presentations

Abstracts for student poster presentations  Additional student poster abstracts

Full PDF program listing (23 pages)

Thursday Evening , 15 March 

 
Project NExT-SE Activities, 3rd floor Professional Development Center, ITB

Executive Committee Dinner and Meeting, 3rd floor Professional Development Center, ITB

7:30 - 10:00 pm Math Treasure Hunt - an Activity for Students.  Meet in the Entrance Atrium, ITB

 

Friday Morning, 31 March

 

7:30—4:30  Registration, ITB Lobby

 

8:00—11:30    Project NExT, 3^rd floor Professional Development Center, ITB

 

8:00—12:00  Math Jeopardy Preliminary Rounds, Room 1005 ITB

Participating institutions and sponsors

Augusta State University, Cornelius Stallmann

Belmont University, Sarah Ann Stewart

Berry College, Ron Taylor

The Citadel, Mei Chen

Coastal Carolina University, Andrew Incognito

Columbus State University, Brian Muse

Davidson College, Irl Bivens

East Tennessee State University, Deb Knisley

Furman University, Tom Lewis

Georgia College & State University, Amy Kelley

Georgia Southern University, Yan Wu

Lagrange College, Jenny Langdon

Methodist University, Shivappa Palled

University of Tennessee at Knoxville, David Anderson

University of Tennessee at Martin, Sarah Holliday

Western Carolina University, Julie Barnes

 

 

8:30—11:30 Short Courses

 

*    Inquiry-Based and Problem-Based Learning in the Mathematics Classroom, Patrick Bahls (University of North Carolina, Asheville), Amy Kelley (Georgia College and State University), Barry Spieler (Birmingham-Southern College), and Cornelius Stallmann (Augusta State University), Room 2201 ITB

*    Active Learning Strategies for the College “Liberal Arts Mathematics Course,” David Cochener and Nell Rayburn (Austin Peay State University), Room 2202 ITB

*    Codes, Cards, and Cryptography, Jeffrey Ehme (Spelman College), Room 2203 ITB

*    Undergraduate Research for All, Anant Godbole (East Tennessee State University), Room 2205 ITB

 

 

11:00—12:30              TA Rush, 3rd floor Professional Development Center, ITB

 

11:30—12:30              Liaisons’ Luncheon, Room 2206 ITB, Ellen Kirkman, presider

 

 12:40—1:50  General Session I, Room 1004 ITB,  Martha Abell, Section Chair-elect, presiding.  Welcome and opening remarks.  Invited address, Using Groups and Graphs to Create Symmetry Patterns, Joe Gallian, University of Minnesota Duluth

  

2:00—5:15      Exhibits and refreshments, ITB Lobby 

  

2:00 – 4:00  Concurrent Special and Contributed Sessions

 

1.  Special Session on Optimization I, Goran Lesaja, organizer, Room 2201 ITB

 

2:00  1.1.  A New Class of Polynomial Interior-Point Algorithms for P*(k)- Linear Complementary  Problems, Yanqin Bai, Goran Lesaja*, Kees Roos, Georgia Southern University

2:40  1.2.  Primal-Dual First-Order Methods with O(1/e) Iteration-Complexity for Cone Programming, Guanghui Lan*,  Zhaosong Lu, Renato D.C. Monteiro, Georgia Institute of Technology

3:20  1.3.  The Parallel Approximation Problem, and Integer Programming, Gabor Pataki and Mustafa Tural*, University of North Carolina at Chapel Hill

 

2.  Special Session: Presentations by Beginning Faculty, David Stone, Georgia Southern University, organizer, Room 2202 ITB

 

2:00  2.1.  Searching for Exotic Structures, Ryan Brown, Georgia College and State University

2:20  2.2.  A Geometric Property of Circles with an Application to Paper-Folding, Andrew Miller, Belmont University

2:40  2.3. Inference on Overlapping Coefficients in Two Exponential Populations Using Ranked Set Sampling, Hani Samawi, Georgia Southern University

3:00  2.4. Is this an English course? A PBL Approach to a Second Statistics Course for Mathematics Majors, Ayesha Delpish, Elon College

3:20  2.5. Omnibus Testing and Gene Filtration in Microarray Data Analysis, Hongying Dai, Columbus State University

3:40  2.6. Graphing Functions by Transformations: Does Order Make a Difference? John Hawkins, Georgia Southern University

 

 

3.  Special Session on the Graduate Content Courses for the Mathematical Education of Secondary and Middle School Teachers, Betty Rogers, Piedmont College, organizer, Room 2203 ITB

 

2:00  3.1. What is a Challenging Mathematics Course? John C. Mayer, University of Alabama at Birmingham

2:20  3.2. ETSU’s MS Degree Program for In-Service Teachers, Anant Godbole, East Tennessee State University

2:40  3.3. Out of the Mouth of Babes:  Lessons Learned from Teaching Geometry to Post Baccalaureate Teachers, Angela Humphrey Brown, Piedmont College

3:00  3.4.  Incorporating Writing Projects into  Mathematics Content Courses, Betty Rogers, Piedmont College

 

 

4.  Special Session on the Mathematical Heritage of Leonhard Euler, Joe Albree, Auburn University Montgomery, organizer, Room 2205 ITB

 

3:00  4.1. Euler’s Formula for Polyhedra:  A Historical Investigation, Tom Ottinger, Reinhardt College

3:20  4.2. The Great Teacher of Europe:  Euler’s Letters to a German Princess, Joe Albree, Auburn University at Montgomery

3:40  4.3.  Euler as a Pioneer in the Mathematics of Finance, Michel Helfgott, East Tennessee State University

 

 

5.  Contributed Session on Linear Algebra, Room 2206 ITB, Moderator:  Bruce McLean, Georgia Southern University

 

2:00  5.1.  An Iteration Method for a Special Linear System, Joshua Du, Kennesaw State University

2:20  5.2.  What is a matroid?  Rigoberto Florez, University of South Carolina--Sumter

2:40  5.3.  The G-Translativity of Logarithmic Transformation, Mulatu Lemma, Savannah State University

3:00  5.4.  Residual Minimization By use of Cosine Values, James Shoaf* and Melonie Lewis, North Carolina Central University

3:20  5.5.  Using Contra Dancing to Introduce Matrices to College Algebra Students, Richard Summers, Reinhardt College

3:40 5.6   Structure Theorems for Matrix Rings over Moore-Penrose Two (Mp2) Rings, Gregory Battle, Morehouse College

 

 

6.  Contributed Session on Statistics, Probability, and Number Theory, Room 2207 ITB, Moderator:  Jim Vandergriff, Austin Peay State University

 

2:00  6.1.  Estimation of Hazard Function Under Shape Restrictions, Desale Habtzghi*, Georgia College and State University; Mary Meyer, University of Georgia; Somnath Datta, University of Louisville

2:20  6.2.  An Optimization Problem with a Surprisingly Simple Solution, William M. (Mac) Priestley*, Doug Drinen and K. Grace Kennedy**, University of the South--Sewanee

2:40  6.3.  An Introduction to Statistics for the Mathematically Inclined, Ron Lamb, High Point University

3:00  6.4.  Lucas Numbers and Golden Triangles in the Regular Pentagon, Steven Edwards, Southern Polytechnic State University

3:20  6.5.  Large Counterexamples in Number Theory, Michael Mossinghoff, Davidson College

 

 

7.  Contributed Session on Dynamics, Differential Equations, Analysis, and Topology, Room 3202 ITB, Moderartor: Julie Barnes, Western                                                                                                                                                                                     Carolina University

 

2:00  7.1.  Families of Ergodic and Exact One-Dimensional Maps, Julia Barnes*, Western Carolina University; Jane Hawkins, University of North Carolina—Chapel Hill

2:20  7.2.  Asymptotic Stability for Scalar Linear Volterra Integro-Differential Equations, Leigh Becker, Christian Brothers University

2:40  7.3.  On the Increments of Katsuura’s Continuous Nowhere Differentiable Function, Thomas M. Lewis, Furman University

3:00  7.4.  Tightness of Closed Random Sets in Polish Spaces, Hussain Elalaoui-Talibi*, Tuskegee University, and Lisa D. Peterson

3:20  7.5.  The Minimum of the Upper Convex Density of the Product of the Cantor Set with Itself, Li Feng, Albany State University

3:40   7.6  Multidimensional Quadrature Techniques and Applications, James Ruff, Western Carolina University

 

 

 

8.  Contributed Session on Algebra and Logic, Room 3302 ITB, Moderator:  Greg Michalski, Georgia Southern University

 

2:00  8.1.  Classifying Quadratic Fields:  An Update, Brian Beasley, Presbyterian College

2:20  8.2.  Generalizing Scholz’s Reciprocity Law, Mark Budden, Armstrong Atlantic State University

2:40  8.3.  Refactoring and Lattice Theory, Jeff Clark, Elon University

3:00  8.4.  A Class of Groups Related to Sudoku, Curtis Herink, Mercer University

3:20  8.5.  Pseudo-Local Rings, Jason P. Huffman, Georgia College & State University

3:40  8.6.  A Coherent and Ramifiable Set of “How to Prove It” Rules, Damon Scott, Francis Marion University

 

 

9.  Contributed Session on Mathematical Pedagogy and Curriculum I, Room 3216 ITB, Moderator:  Sharon Taylor, Georgia Southern University

 

2:00  9.1.  How to Teach Calculus, Tom Barr, University of Alabama Birmingham

2:20  9.2.  Have Your Algebra Students Play the Part, Deborah Bell and Cynthia Sikes, Georgia Southern University

2:40  9.3.  An Approach to Teaching an Introductory Proof Class, Jim Beuerle and Ellen Mir, Elon University

3:00  9.4.  Enhancing Instruction in a Remedial Math Course, Lisa Carnell, High Point University

3:20  9.5.  Not Your Mother’s College Algebra?, Ray Collings, Georgia Perimeter College

3:40  9.6.  Creating and nurturing a mathematics education community: A bottom-up and top-down approach, Carrie Diaz Eaton, University of Tennessee, Knoxville

  

 

10.  Undergraduate Paper Session A, Luis Cueva-Parra and Karen O’Hara, organizers, Room 3204 ITB, Moderator:  Karen O'Hara, High Point                                                                                                                                                                                                     University

 

2:00  10.1.  A Statistical look at the language development of children that are deaf/hard of hearing in oral programs, Edith Garrett, Rhodes College

2:20  10.2.  Determining Threshold Probabilities, Tim Rankin* and Andrew Ruth, Davidson College

2:40  10.3.  An Elementary Approach to Least Squares, Laura Nunley* and Carlos Almada, Columbus State University

3:00  10.4.  Analysis of a Random Walker Method for Ranking NCAA Football Teams, Matthew Christian, Elon University

3:20  10.5. A study of the effects of deforestation in the Amazon rainforest on both global and latitudinal climates, Victoria Frost* and Kristen Dale, Spelman College

3:40  10.6.  Learning by doing: Increasing student engagement through innovative pedagogy and technology in Basic Statistics course, Zephyrinus C. Okonkwo and Jerome Myricks*, Albany State University

 

 

11.  Undergraduate Paper Session B, Luis Cueva-Parra and Karen O’Hara, organizers, Room 3206 ITB, Moderator:  Luis-Cueva-Parra, Auburn                                                                                                                                                                                 University Montgomery

 

2:00  11.1.  Multiple Error-Correcting Codes, Amanda Jordan , Spelman College

2:20  11.2. Generating Some Properties of a Class of Generalized Fibonacci Numbers using Determinants, Matthew C. Cockrell* and Kokou Y. Abalo, Erskine College

2:40  11.3. The Sierpinski Numbers Base b, Amy Brunner, Dan Krywaruczenko and Chris Lownsdale*, University of Tennessee Martin

3:00  11.4. Lucas Primality Test, Christina McIntosh, Spelman College

3:20  11.5. Pascal’s Carousel, Kristy L. Beam, Lenoir-Rhyne College

3:40  11.6. Scaled Structures and Self-Similarity in the Morse-Thue Sequence, Nathan Vish, Appalachian State University

 

 

12.  Undergraduate Paper Session C, Luis Cueva-Parra and Karen O’Hara, organizers, Room 1206 ITB, Moderator:  John Long,  Midlands Tech.                                                                                                                                                                                                 College

 

2:00  12.1.  Nim sums and Two’s Complement Subtraction in Sprague-Grundy Game Theory, Christopher Corriere, Southern Polytechnic State University

2:20  12.2. Five Fundamental Regions of Wallpapering Groups, Braxton Carrigan, Samford University

2:40  12.3.  Exploring the Rubik’s Cube, John Helms, Davidson College

3:00  12.4. Upper Bound for Ropelength of Pretzel Knots, Safiya Moran, Columbia College

3:20  12.5. The Possibility of Impossible Pyramids, Kristin Souther, Elon University

 

 

13.  Vendor Presentations, Room 3314 ITB

 

2:00  13.1  Using Online Technology in the Calculus Classroom, Susan Coughlin, Addison Wesley

3:00  13.2  Content on Demand: Complete, Textbook-Free, Online Mathematics Courses, Rori Reber, Key College Publishing

 

 

4:10 – 5:20 General Session II, Room 1004 ITB, Charlotte Knotts-Zides, presiding.  Awards.  Invited Address, Circular Irrationalities:  From Galois to Kummer and Back Again, John Swallow, Davidson College

 

 

 

Saturday Morning, 17 March

 

7:50—8:35  Business Meeting, Room 1005 ITB

  

8:00—1:00      Exhibits and refreshments, ITB Lobby

 

 8:45—9:50      General Session III, Room 1004 ITB, Tom Barr, Program Chair, presiding.  Announcements.  Invited address, Surprises, William M. (Mac) Priestley, University of the South at Sewanee

 

10:00 – 11:30  Department Chairs’ Meeting, Charlotte Knotts-Zides, presider, Room 3302 ITB

  

10:00 – 11:00  Workshop on the MAA Math Gateway and Math Digital Library, Bruce McLean, Georgia Southern University, and Ann Bingham, Peace College, Room 1201 ITB

10:00 - 11:00    Vendor Presentation   Maple 11, The Next Generation, Andrea Spirou, Maplesoft, Room 3314 ITB

  

11:00—11:50  Vendor Presentation  Mastering Math with Online Homework featuring Enhanced WebAssign from Thomson Brooks/Cole, Andrea Kesterke, Thomson Learning, Room 3314 ITB

  

10:00—12:00  Poster Session, Crista Coles, Aprillya Lanz, and Catherine Matos, presiding ITB Lobby

 

UPS.1. Deal or No Deal:  Do Contestants Really Make a Good Deal?,  Casey Bishop, Alabama State University

UPS.2.   Can a Non-circular Wheel Provide a Smooth Path?,  Olivia Bolen, Elon University

UPS.3.  Analysis of a Random Walker Method for Ranking College Football Teams, Matt Christan, Elon University

UPS.4.  Cayley Connections, Christa Conner and Polly Rudoff, Western Carolina University

UPS.5.  When is the Product of Two Oblong Numbers Another Oblong Number?,  Patrick Davis, Elon University

UPS.6.  Dessin Genus of a Knot,  Parisa Fatheddin, Belmont University

UPS.7.  A Slice of Pi, Robert Gove, University of North Carolina at Greensboro

UPS.8.  Where is the Center?, Sarah Holmes, Elon University

UPS.9.  Reed-Solomon Error-Correcting Codes,  Amanda Jordan, Spelman College

UPS.10.  Mathematical Approaches to Quantum Mechanics, Anna Kamphaus, Western Carolina University

UPS.11.  No Way Out:  the Prisoner’s Dilemma, an Introduction to Symmetric Normal Form Games, Joseph Krenicky, University of North Carolina at Greensboro

UPS.12.  Residual Minimization by use of Cosine Values, Melonie Lewis, North Carolina Central University

UPS.13.  Estimation of the Exponentiated Weibull Distribution using a Lower Level Language such as Java, Thomas Lewis and Brandon Walker, Georgia College and State University

UPS.14.  Integer Programming using Gröbner Bases, Nicole Mack, Spelman College

UPS.15.  Who Pecks Whom?, Kristin Mandella, Elon University

UPS.16.  Andrew Wiles and the Holy Grail, Constance Markley, Western Carolina University

UPS.17.  Identifying the Best-fit Model of Mosquitofish Population Dynamics, Andrew McDonald, University of Alabama at Birmingham

UPS.18.  Miller Rabin Test for Finding Large Primes, Christina McIntosh, Spelman College

UPS.19.  Upper Bound for Ropelength of Pretzel Knots, Safiya Moran, Columbia College

UPS.20.  Minimizing the Area Between a Graph and its Tangent Lines, Shatina Morgan, Winston-Salem State University

UPS.21.  The Possibility of Impossible Pyramids, Kristin Souther, Elon University

UPS.22.  Analysis of a Galton Board’s Distribution through Modeling in a Virtual World, Jessica Stewart, Elon University

UPS.23.  Red Light, Green Light, Not Just Child’s Play, Joanna Zanetto, Elon University

UPS.24.  Applications of the Fourier Transform in Imaging, Brandon Beevan, Georgia Southern University

 

 

10:00 – 12:00  Concurrent Special and Contributed Sessions

 

14.  Special Session on Optimization II, Goran Lesaja, organizer, Room 2201 ITB

 

10:00  14.1.  Global Optimization in Clustering Using Hyperbolic Cross Points, Yinkang Hu, Yingping Hu*, Georgia Southern University

10:40  14.2.  Alternating Optimization in Fuzzy Clustering, Richard Hathaway, James Bezdek, and Jacalyn Huband*, University of West Florida

11:20  14.3.  Maximizing Profits of a Fishery, John Baxley, Wake Forest University

 

 

15.  Special Session on Issues in Mathematics Education, Sharon Taylor, Donna Saye, and Susie Lanier, Georgia Southern University, organizers, Room 2202 ITB

 

10:00  15.1.  Improving Student Learning in the Precalculus Environment, Cynthia Young, University of Central Florida

10:20  15.2.  Using Applications, Modeling, and Technology to Enhance Precalculus Mathematics (Part 1), Ron Harshbarger, University of South Carolina-Beaufort, and Lisa Yocco, Georgia Southern University 

10:40  15.3. Using Applications, Modeling, and Technology to Enhance Precalculus Mathematics (Part 2), Ron Harshbarger and Lisa Yocco

11:00  15.4. Symbiosis: The Integration of Calculus, Statistics, and General Biology, Jeff Knisley-East Tennessee State University

11:20  15.5.  Using a Classroom Response System – Lessons Learned in Two Years of Developmental Mathematics Teaching, Cathie Aust. Clayton State University

11:40  15.6.  APPROPRIATE Use of Calculators in Middle and High School, Tom Ottinger, Reinhardt College

 

 

16.  Contributed Session on Mathematical Modeling, Room 2203 ITB, Moderator: Mark Cawood, Clemson University

 

10:00  16.1.  An Inverse Eigenvalue Problem Arising in Population Dynamics, Mark Cawood*, Clemson University; Carlos Camp, Piedmont College

10:20  16.2.  A Simple Genetic Algorithm for the Vehicle Routing Problem with Time Windows, Yaw Chang* and Lin Chen, University of North Carolina—Wilmington

10:40  16.3.  Investigating an Extended Predator-Prey Model Using Systems Dynamics and Agent-Based Modeling Tools, Erin McNelis, Western Carolina University

11:00  16.4.  A Situation in which a Local Nontoxic Refuge Promotes Pest Resistance to Toxic Crops, Jemal Mohammed-Awel*, Valdosta State University; Karen Kopecky, University of Western Ontario; John Ringland, Sunny Buffalo

11:20  16.5.  HIV Infection and CD4+ T cell Dynamics, Liancheng Wang* and Sean Ellermeyer, Kennesaw State University

11:40  16.6.  Flying Your Computer, Jack Pace, Southern Polytechnic State University

 

 

17.  Undergraduate Paper Session D, Luis Cueva-Parra and Karen O’Hara, organizers, Room 3204 ITB, Moderator:  Luis-Cueva-Parra, Auburn                                                                                                                                                                                 University Montgomery

 

10:00  17.1. The Balaban Index of Families of Graphs, David Simpson, East Tennessee State University

10:20  17.2. Minimum Coverings of D_m,n with Directed 6-cycles, Brenna McGuffey, Samford University

10:40  17.3.  Who Pecks Whom?, Kristin Mandella, Elon University

11:00  17.4. PL boundaries of surfaces which immerse isometrically in R², Andrew Gainer, Mercer University

11:20  17.5. An Algorithm for the Independent Set Problem, David Roberson, NC State University

11:40  17.6. A Network Approach to the Gene Expression Puzzle, Nicole Sims, Agnes Scott College

 

 

18. Undergraduate Paper Session E, Luis Cueva-Parra and Karen O’Hara, organizers, Room 3206 ITB

 

10:00  18.1. Harry Makowitz’s Modern Portfolio Theory, Stephanie Webster, High Point University

10:20  18.2. STEM Research Progress Report, Joshua Knight, Alabama State University

10:40  18.3. Using Parametric and Nonparametric Smoothing Techniques to Improve Estimation with the EM Algorithm, Angela Edwards, North Carolina Agricultural and Technical State University

11:00  18.4. Can a Non-Circular Wheel Provide a Smooth Ride? Olivia Bolen, Elon University

11:20  18.5. Applications of the Central Limit Theorem, Shirlette Chambers, Winston-Salem State University

11:40  18.6. Negative Dependence of Bivariate Distributions, Denise V. Haynes, Winston-Salem State University

 

 

19.  Contributed Session on Geometry, Room 2205 ITB

 

10:00  19.1.  Chicken or Egg or Proof by Assumption, Paul Baker, Catawba College

10:20  19.2.  Sculptures Which Stellarize Non-Planar Hexagons, Douglas Burkholder, Lenoir-Rhyne College

10:40  19.3.  Generalizing a Coring Property of the Sphere, Jeff Dodd, Jacksonville State University

11:00  19.4.  Counting Flexagon Pats and Faces:  Computer vs. the Fundamental Theorem of Counting, Bruce McLean*, Thomas Anderson**, Chasen Smith**, and Homeira Pajoohesh, Georgia Southern University

11:20  19.5. Counting Flexagon Pats and Faces:  An Algebraic Approach, Homeira Pajoohesh*, Thomas Anderson**, Chasen Smith** and Bruce McLean, Georgia Southern University

11:40  19.6.  Bisections and Reflections, Ronald D. Taylor, Jr,*, Berry College and Jorgen Berflund, California State University Chico

 

 

20.  Contributed Session on History, Games, Combinatorics, and Graph Theory, Room 2206 ITB, Moderator: Cynthia Sikes, Georgia Southern University

 

10:00  20.1.  Sir Henry Savile, Merton College, and the Savilian Professorships, Doug Daniel, Presbyterian College

10:20  20.2.  The Apex of Native American Mathematics, Doy Hollman, Lipscomb University

10:40  20.3.  Analysis of a Two-Player Game that Opens Undergraduate Research Opportunities, Tim Howard*, Eugen Ionascu, and David Woolbright, Columbus State University

11:00  20.4.  Maximum k-Non-Attacking Sets of Kings on Chessboards Via Binary Linear Programming Analysis, Eugen Ionascu*, Columbus State Univeristy, D. Pritkin, and S. E. Wright, Miami University, Ohio

11:20  20.5.  A Note on the Parity of the Ordinary Partition Function, Louis Kolitsch, Univeristy of Tennessee-Martin

11:40  20.6.  Laplacian Eigenvalues and Hamiltonicity of Graphs, Rao Li, University of South Carolina—Aiken

 

 

21.  Contributed Session on Mathematical Pedagogy and Curriculum II, Room 2207 ITB, Moderator:  Marshall Ransom, Georgia Southern                                                                                                                                                                 University

 

10:00  21.1.  Reading for Success in Mathematics, Andrew Incognito, Coastal Carolina University

10:20  21.2.  How Does Technology Affect Statistics in the Classroom?, Keshav Jagannathan, Coastal Carolina University

10:40  21.3.  Multiple Representations of Functions Using a Touchscreen Calculator, Ben Klein, Davidson College

11:00  21.4.  A Call From Second Life, Todd Lee, Elon University

11:20  21.5.  Enhancing Instruction, Learning, and Assessment Through Item Analysis of Assessment Instrument:  The Case of College Algebra, Zephyrinus Okonkwo* and Jerome Myricks, Albany State University

11:40  21.6.  Email and Bad Luck:  A Counting Problem Which Leads to an Interesting Limit of a Sequence, Marshall Ransom, Georgia Southern University

 

 

12:10—1:00  Math Jeopardy Final Rounds, Room 1005 ITB