The Richard V. Andree Awards


The Richard V. Andree Awards are given annually to the authors of the papers, written by undergraduate students, that have been judged by the officers and councilors of Pi Mu Epsilon to be the best that have appeared in the Pi Mu Epsilon Journal in the past year.

Until his death in 1987, Richard V. Andree was Professor Emeritus of Mathematics at the University of Oklahoma. He had served Pi Mu Epsilon for many years and in a variety of capacities: as President, as Secretary-Treasurer, and as Editor of this Journal.

The following is a list of past recipients of the Richard V. Andree Award:
Year Place Author School Paper Title
2012 1Austin Buscher US Air Force Academy

Approximating Trigonometric Functions with Sums of Generalized Binomial Coefficients

1 Samantha Campbell University of Richmond From Graphs to Determinants to Matrices
1 Yiran Duan University of Richmond From Graphs to Determinants to Matrices
1 Hristiyan Hristov Ernst & Young From Graphs to Determinants to Matrices
1 Max GrinchenkoUniversity of Richmond From Graphs to Determinants to Matrices
2011 1 Robert Thijs Kozma SUNY Stonybrook Julia Sets of Perturbed Quadratic Maps Converging to the Filled Basilica
2010 1Matt Alexander Youngstown State University

A Curiously Rational Result

1 Dan Emmendorfer Hope College Classification of Geometric Spirals
1 Martha Precup University of Notre Dame Classification of Geometric Spirals
1 Ashley Warren Otterbein College Classification of Geometric Spirals
1 Alex CameronHendrix College Counting Ring Homomorphisms
2009 1Giulia Fanti Olin College of Engineering

Habitats on Costa Rican Jaguar Populations

1 Brian Nowatowski Princeton University Habitats on Costa Rican Jaguar Populations
1 Adam Shull Valparaiso University Properties of Ideal Divisors
1John Holmes Wabash College Properties of Ideal Divisors
2008 1Joseph David Gastenveld Northern Kentucky University Extensions that Yield Quasi p-Groups
1Sharon J. Sternadel Oregon State University Circles in a One-Way Street Taxicab Model
1Melissa Wasson Hartwick College Scaling Ratios and Self-Contact in Planar Asymmetric Trees
2007 1Sarah Baker and Larisa Perolli The George Washington University Log concavity in lattice path matroids
2006 1Colleen HughesDenison UniversityLinked Triangle Pairs in a Straight edge K_6
1Sara Zasada Elmhurst College Working with Block Products
2005 1Aja JohnsonElon UniversityStrategies of a Sequenced Game of Chance
1David NashSanta Clara University Cayley Graphs of Symmetric Groups Generated by Reversals
1Jared WilliamsHendrix CollegeExtending Wilson's Theorem
2004 1Stephen W. Hruska Wheaton College An Alternating Series Expansion for (ln(2))^2
1Rebekah B. Johnson Wheaton College An Alternating Series Expansion for (ln(2))^2
1Ryan L. Yates Wheaton College An Alternating Series Expansion for (ln(2))^2
1Molly McGinty Washington & Lee University Geometric Probability for the Space-Time Plane
1Peter Horn Hendrix College Modelling the Impact of Forest Fragmentation on Predator-Prey Populations
1Ryan D. Westbrook Texas A&M University Modelling the Impact of Forest Fragmentation on Predator-Prey Populations
2003 1Patrick Hummel California Institute of Technology Solid constructions using ellipses
2John M. Zobitz St. John's University Pascal matrices and particular solutions to differential equations
3Stephanie Libera St. Olaf College Some Perfect Order Subset Groups
3Paul Tlucek St. Olaf College Some Perfect Order Subset Groups
2002 1Andrea Douglas Hope College Expected Areas of Randomly Generated Triangles
1Courtney Fitzgerald Niagara University Expected Areas of Randomly Generated Triangles
1Scott Mihailik University of Michigan Expected Areas of Randomly Generated Triangles
1Kimberly L. Patti Saint Louis University Randomly Generating a Finite Group
2001 1Emilia Huerta-Sanchez Mills College Iteration of an Even-Odd Splitting Map
1Aida Navarro-Lopez University of Puerto Rico in Humacao Iteration of an Even-Odd Splitting Map
1David Uminsky Harvey Mudd College Iteration of an Even-Odd Splitting Map
1John Griesmer Miami University Results Involving Continuity of the Derivative
2000 1Nitish Dass St. Olaf College The Determinant of a (m,n) Pretzel
1Jonathan McGrath St. Olaf College The Determinant of a (m,n) Pretzel
1Erin Urbanski St. Olaf College The Determinant of a (m,n) Pretzel
1Brett Alan Enge James Madison University The Search for Tri-Operate Fields
1Matthew J. Hale St. Xavier High School Circular Functions of Multiple Integral Angles
1999 1Xiaolong Ron Yu Worcester Polytechnic Institute Curious Numbers
2Jack Samuel Calcut III Michigan State University Single Rational Arctangent Identities for Pi
3Gina Garza Western Michigan University Which Graphs Have Planar Shadow Graphs?
3Natascha Shinkel Western Michigan University Which Graphs Have Planar Shadow Graphs?
1998 1Johanna Miller Duke University Mauldin-Williams Graphs with Unique Dimension
1C. Ryan Vinroot North Carolina State University Mauldin-Williams Graphs with Unique Dimension
1Tricia Stone John Carroll University Where Do My Sequences Lead?
1Loi Nguyen University of North Florida Seeing is Not Always Believing
1Tu Tran University of North Florida Seeing is Not Always Believing
1997  1Marc Fusaro University of Scranton A Visual Representation of the Sequence Space
 1Danica A. Nowosielski Russell Sage College Change Ringing: A Connection Between Mathematics and Music
 1Kerry Smith Seton Hall University Rearrangement of Series
1996 1Rick Mohr Rose-Hulman Institute of Technology Nearness of Normals
2Ryan Bennink Hope College Red Light, Green Light: A Model of Traffic Signal Systems
3Carolyn Farruggia University of Scranton The Elimination of a Family of Periodic Parity Vectors in the 3x+1 Problem
3Michael Lawrence University of Scranton The Elimination of a Family of Periodic Parity Vectors in the 3x+1 Problem
3Brian Waterhouse University of Scranton The Elimination of a Family of Periodic Parity Vectors in the 3x+1 Problem
3Mark Tomforde Gustavus Adolphus College Self-Similarity and Fractal Dimension of Certain Generalized Arthimetical Triangles
1995 1Scott M. Wagner Hendrix College Group Generators and Subgroup Lattices
2Kevin Dennis Michigan State University Sierpinski n-Gons
2Julie Varbalow University of Kentucky An Application of Partitions to the Factorization of Polynomials over Finite Fields
2Lars Seme Hendrix College Automorphisms of Hasse Subgroup Diagrams for Cyclic Groups
1994 1Gina Aurello Seton Hall University On the Rearrangement of Infinite Series
2Rychard J. Bouwens Hope College Who Gets the Washers? A Problem in Dividing Resources
3Michael J. Reske Carthage College The Secret Santa Problem
1993 1Jennifer DeBoer Michigan Technological University Non-Existence of Certain Unitary Perfect Numbers
2James R. Murphy Michigan State University Uniform Embeddings of Graphs
2Mohammad P. Shaikh Western Michigan University Uniform Embeddings of Graphs
3Carol Clifton Middle Tennessee State University Some Operations on Matrix-Valued Expressions
3Jeremy M. Dover Worcester Polytechinic Institute and The University of Delaware Outerplanar Graphs and Matroid Isomorphism
1992 1Nataniel S. Greene Yeshiva University Fractorial!
2Michael H. Lin Stanford University Rings of Small Order
3Mark J. Lancaster Hendrix College On the Number of Invertible Matrices Over Zpe
1991 1Amy Pinegar Middle Tennessee State University Inversions and Adjacent Transpositions
2Shannon Spittler Miami University A Math Problem Within an Antique Clock Label
3Judy Marie Kenney College of St. Benedict Turning Triangles into Circles
1990 1Amy Dykstra Western Michigan University A Generalization of Odd and Even Vertices in Graphs
1Michelle Shultz Western Michigan University A Generalization of Odd and Even Vertices in Graphs
2Eric Berg A Family of Fields
3Joel Atkins Rose-Hulman Institute of Technology Regular Polygon Targets
1988 1James E. Georges California Polytechnic State University Maximal Polygons for Equitransitive Periodic Tilings
1Annette M. Matthews Portland State University Maximal Polygons for Equitransitive Periodic Tilings
2Melanie L. Butt Middle Tennessee State University Automorphism Groups of Hasse Subgroup Diagrams for Groups of Low Order
3Robert A. Coury University of Washington A Continued Fraction Approach for Factoring Large Numbers
1987 1Wah Keung Chan McGill University On the Largest RAT-Free Subset of a Finite Set of Points
2Jennifer Zobitz College of St. Benedict Fractals: Mathematical Monsters
3Kelley Ann Chambers University of Dayton The Isomorphism of the Lattice of Congruence Relations on a Group and the Lattice of Normal Subgroups of a Group
1986 1Kirk Weller Hope College Lattices of Periodic Functions
2John Reid Perkins Oakland University The Adequacy of { ~ , Æ,?} for Gödel Many-Valued Logics
3Janet Eckoff Albion College Random Cantor Sets
1985 1Donald John Nicholson Iowa State University A Ubiquitous Partition of Subsets of Rn
2Ruth Brisbin Plant H.S. Taxicab Trigonometry
2Paul Artola University of South Florida Taxicab Trigonometry
3Julie Yancey Fort Lewis College Edge-Labelled Trees
1982 1Bradley D. Strand Carleton College Vector Subspaces of Magic Squares
2Karen Cunningham University of Texas at Arlington A Simple Model for Two Interacting Species and the Principle of Competitive Exclusion
3Ravi Salgia Loyola University of Chicago Volume of An n-Dimensional Unit Sphere
1981 1Gary Ricard South Dakota School of Mines and Technology A Comparison of Computer Algorithms to Solve for Knight's Tour
2Sandra L. Cousins Hendrix College Singular Functions
3Michael L. Orrick, Jr. Macalester College The Area of a Triangle Formed by Three Lines
1980 1Ziad Haddad UCLA Two Remarks on the Quaternions
2Robert C. Smith University of Arkansas Uniform Algebras and Scattered Spaces
3Alma E. Posey Hendrix College Rolling Cones
1979 1Deborah L. Massari University of Akron The Probability of Generating A Cyclic Group
2Julie D. Anderson Hendrix College Non-linear Additive Functions
3Michael J. Young Portland State University A Matrix Model for Use in Population Ecology
1978 1Robert Antol Iowa State University The Perfect Numbers and Pascal's Triangle
2Debra Lea Gutridge Muskingum College Mathematical Curiosities
3Jackie L. Lawrence Western Kentucky University Numerical Integration by Polynomial Interpolation
1976 1Brent Hailpern University of Denver Continuous Non-differentiable Functions
2Philip D. Olivier Texas Tech University Two Applications of Pseudoinverses
3Karen M. Lesko Central Missouri State University A Generalization to Almost Divisible Groups
1975 1Daniel Minoli & Robert BearPolytechnic Institute of New YorkHyperperfect Numbers
2Mary Zimmerman Western Michigan State UniversityMatrix Multiplication as an Application of the Principle of Combinatorial Analysis
3Lonnie J. KussTexas Tech UniversityA Conformal Group on an n-Dimensional Euclidean Space
1974 1Charles D. Keys Lousiana State University Graphs Critical for Maximal Bookthickness
2S. Brent Morris Duke University The Basic Mathematics of the Faro Shuffle
3H. Joseph Straight Western Michigan University Applications of Finite Differences to the Summation of Series
1973 1S. W. Talley Western Kentucky University Niceness of the Socle and a Characterization of Groups of Bounded Order
2Daniel Minoli Polytechnic Institute of New York Use of Matrices in the Four Color Problem
3Roseann Moriello Seton Hall University Partial Differentiation on a Metric Space
1972 1Sidney Graham The University of Oklahoma On "Almost Unitary Perfect" Numbers
1Christopher Scussel Michigan State University Goldbach's Conjecture
2Joseph J. Buff New York University Characterization of an Analytic Function of a Quaternion Variable
3Lee Ratzan Courant Institute of Mathematical Sciences Comments on the Properties of Odd Perfect Numbers
3Frank L. Capobianco College of the Holy Cross Spec (R) for a Particular R
1971 2Martin Swiatkowski John Carroll UniversityWronskian Identities
3Thomas R. Bingham State University of the New York College at Fredonia Newton and the Development of the Calculus
1969 1Robert L. Devaney College of the Holy Cross Lens Spaces as Coset Spaces
2Michael Kopkas John Carroll University Partial Sums of Certain Infinite Series of Polygonal Numbers
3Douglas Townsend Ohio State University A Generalization of Subnet with Some Resulting Improvements in Moore-Smith Convergence Theory
3George Benkart Ohio State University A Generalization of Subnet with Some Resulting Improvements in Moore-Smith Convergence Theory
1968 1Daniel E. Putnam University of Illinois An Easier Condition Than Total Boundedness
2Jerome M. Katz Brooklyn College An Interesting Mapping of Two Fields
1967 3Dennis Spellman Temple University On Hula Hoops
1966 1James Williams Carleton College A Multiplication-Free Characterization of Reciprocal Addition