This collection represents a sample of faculty work from the Mathematics and Computer Science Department. Mathematics and computer science provide the critical foundation required to answer some of the most pivotal and complex questions of our time. Mathematicians design the models that enable us to understand and improve the structure of transportation networks, computer networks and physical processes, making them more efficient, effective, and versatile. Computer scientists build the invisible layer of software that drives significant advances in scientific research and improves everyday life.

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Submissions from 2014

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Chapter 91: Sage, Robert A. Beezer, R. Bradshaw, J. Grout, and W. Stein

Calculus with Sage, Robert A. Beezer, Sang-Gu Lee, Eung-Ki Kim, Yoonmee Ham, and Ajit Kumar

Submissions from 2013

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Extended echelon form and four subspaces, Robert A. Beezer

The Geometry Of Markov Chain Limit Theorems, James Bernhard

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The Lah Numbers And The $n$th Derivative Of $e^1/x$, Siad Daboul, Jan Mangaldan, Michael Z. Spivey, and Peter J. Taylor

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Optimal Discounts for the Online Assignment Problem, Michael Z. Spivey

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The Lah Numbers and the nth Derivative of Exp(1/x), Michael Z. Spivey, Siad Daboul, Jan Mangaldan, and Peter Taylor

Submissions from 2012

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Formulas in Physics Have a “Standard” Form, Matthew J. Moelter and Martin Jackson

Change Stories, Brad Richards, Sally Fincher, Janet Finlay, Helen Sharp, and Isobel Falconer

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Stories of change: How educators change their practice, Bradley Richards, Sally Finchner, Janet Finlary, Helen Sharp, and Isobel Falconer

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Enumerating Lattice Paths Touching or Crossing the Diagonal at a Given Number of Lattice Points, Michael Z. Spivey

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Mathematical Modeling in the Undergraduate Curriculum, Carl Toews

Submissions from 2011

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Review of: Assignment Problems by Rainer Burkard, Mauro Dell'Amico, and Silvano Martello, Robert A. Beezer

Explorations in Algebraic Graph Theory with Sage, Robert A. Beezer and Chris Godsil

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Asymptotic Integration Of Nonoscillatory Differential Equations: A Unified Approach, Sigrun Bodine and D. A. Lutz

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It Seemed Like A Good Idea At The Time, Jonas Boustedt, Robert McCartney, Josh Tenenberg, Stephen Cooper, Daniel D. Garcia, Michelle Friend Hutton, Nick Parlante, and Brad Richards

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Applying Data Structures In Exams, Briana B. Morrison, Mike Clancy, Robert McCartney, Brad Richards, and Kate Sanders

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The Epq With Partial Backordering And Phase-dependent Backordering Rate, David W. Pentico, Matthew J. Drake, and Carl Toews

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Asymptotic Moments of the Bottleneck Assignment Problem, Michael Z. Spivey

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On Solutions to a General Combinatorial Recurrence, Michael Z. Spivey

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The Poisson Process and Associated Probability Distributions on Time Scales, Michael Z. Spivey, D. R. Poulsen, and R. J. Marks

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The EPQ with partial backordering and phase dependent backordering rate, Carl Toews, Matthew J. Drake, and David W. Pentico

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Using the EPQ for coordinated planning of a product with partial backordering and its components, Carl Toews, Matthew J. Drake, and David W. Pentico

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The Deterministic Eoq And Epq With Partial Backordering At A Rate That Is Linearly Dependent On The Time To Delivery, Carl Toews, David W. Pentico, and Matthew J. Drake

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The deterministic EO Q and EPQ with partial backordering at a rate that is linearly dependent on the time to delivery, Carl Toews, David W. Pentico, and Matthew J. Drake

Submissions from 2010

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Review of: Pearls Of Discrete Mathematics by Martin Erickson, Robert A. Beezer

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Equivariant Cohomology and Reflections, James Bernhard

Raoul Bott As We Knew Him, James Bernhard, Nancy Hingston, Jim Stasheff, and Victor Guillemin

On second order nonoscillatory scalar linear dynamic equations on time scales, Sigrun Bodine

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Asymptotic integration under weak dichotomies, Sigrun Bodine and D. A. Lutz

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Making sense of data structures exams, Brad Richards, Beth Simon, Mike Clancy, Robert McCartney, Briana Morrison, and Kate Sanders

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Making sense of data structures exams, Beth Simon, Mike Clancy, Robert McCartney, Brad Richards, and Kate Sanders

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Cycles in War, Michael Z. Spivey

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Deranged Exams, Michael Z. Spivey

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Letter to the editor, Michael Z. Spivey

On the Expected Value of the Bottleneck Assignment Problem, Michael Z. Spivey

The Euler-Maclaurin Summation Formula, Michael Z. Spivey

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Visualizing Continued Fractions, Michael Z. Spivey

Submissions from 2009

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Review of: Vector Calculus by Michael Corral, Robert A. Beezer

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Sage (version 3.4); The Princeton Companion To Mathematics, Robert A. Beezer

Featured Review: Sage (Version 3.4), Robert A. Beezer

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The truly free textbook, Robert A. Beezer

Visual Assessment: Statistical Graphics for Grading and Evaluation, James Bernhard

From Isaac Newton to William Trench: To Oscillate or Not to Oscillate: That is the Question, Sigrun Bodine

On nonoscillatory second order linear differential equations, Sigrun Bodine

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Exponentially Asymptotically Constant Systems Of Difference Equations With An Application To Hyperbolic Equilibria, Sigrun Bodine and D. A. Lutz

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Representation Of Women In Cs: How Do We Measure A Program's Success?, Brad Richards

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Representation of women in CS: how do we measure a program's success?, Brad Richards

Can War Last Forever?, Michael Z. Spivey

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Staircase Rook Polynomials and Cayley's Game of Mousetrap, Michael Z. Spivey

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Female-specific Ornamentation Predicts Offspring Quality In The Striped Plateau Lizard, Sceloporus Virgatus, Stacey L. Weiss, Eileen A. Kennedy, and James Bernhard

Submissions from 2008

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Review of: Graph Theory by J. A. Bondy and U. S. R. Murty, Robert A. Beezer

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Review of: The Art of Mathematics: Coffee Time in Memphis by Béla Bollobás, Robert A. Beezer

Characterization of No-Show Patients and Their Impact on the Efficient Delivery of Endoscopic Services in the Ambulatory Endoscopy Center, James Bernhard, William H. Holderman, Marshall Nickel, Bev Mansanarez, and Susie Ross

Exponentially asymptotically constant linear systems of difference equations with an application to nonlinear systems with hyperbolic equilibria, Sigrun Bodine

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A Hartman-wintner Theorem For Dynamic Equations On Time Scales, Sigrun Bodine and D. A. Lutz

Characterization Of No-show Patients And Their Impact On The Efficient Delivery Of Endoscopic Services In The Ambulatory Endoscopy Center (aec), William Holderman, Marshall Nickel, Bev Mansanarez, Susie Ross, and James Bernhard

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DCER: Sharing Empirical Computer-Science Education Data, Brad Richards, Kate Sanders, Jan Erik Moström, Vicki Almstrum, Stephen Edwards, Sally Fincher, Kat Gunion, Mark Hall, Brian Hanks, Stephen Lonergan, Robert McCartney, Briana Morrison, Jaime Spacco, and Lynda Thomas

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Dcer: Sharing Empirical Computer Science Education Data, Kate Sanders, Brad Richards, Jan Erik Mostrom, Vicki Almstrum, Stephen Edwards, Sally Fincher, Kat Gunion, Mark Hall, Brian Hanks, Stephen Lonergan, Robert McCartney, Briana B. Morrison, Jaime Spacco, and Lynda Thomas

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A Generalized Recurrence for Bell Numbers, Michael Z. Spivey

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Symmetric Polynomials, Pascal Matrices, and Stirling Matrices, Michael Z. Spivey and Andrew M. Zimmer

Submissions from 2007

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Review of: A Java Library of Graph Algorithms and Optimization by Hang T. Lau, Robert A. Beezer

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The Topology Of Surface Mediatrices, James Bernhard and J. J. P. Veerman

Asymptotic Integration Revisited: The Legacy Of Levinson's Method, Sigrun Bodine and D. A. Lutz

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On Asymptotic Equivalence Of Perturbed Linear Systems Of Differential And Difference Equations, Sigrun Bodine and D. A. Lutz

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Combinatorial Sums and Finite Differences, Michael Z. Spivey

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Quadratic Residues and the Frobenius Coin Problem, Michael Z. Spivey

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Counting Functions and Finite Differences, Michael Z. Spivey and Natalio H. Guersenzvaig

Submissions from 2006

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Sylow Subgraphs In Self-complementary Vertex Transitive Graphs, Robert A. Beezer

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Handbook of Graph Theory, edited by Jonathan L. Gross and Jay Yellen, Robert A. Beezer

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Sylow subgraphs of self-complementary vertex transitive graphs, Robert A. Beezer

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Asymptotic Analysis Of Solutions Of A Radial Schr\odinger Equation With Oscillating Potential, Sigrun Bodine and D. A. Lutz

Ricci Flow On Locally Homogeneous Closed 4-manifolds, James Isenberg, Martin Jackson, and Peng Lu

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Women catch up: Gender differences in learning programming concepts, Laurie Murphy, Brad Richards, Renée McCauley, Suzanne Westbrook, and Timothy Fossum

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Fibonacci Identities via the Determinant Sum Property, Michael Z. Spivey

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Problem 1737, Michael Z. Spivey

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The Euler-Maclaurin Formula and Sums of Powers, Michael Z. Spivey

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Some Inversion Formulas for Sums of Quotients, Michael Z. Spivey and Natalio H. Guersenzvaig

The $k$-binomial Transforms And The Hankel Transform, Michael Z. Spivey and Laura L. Steil

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The k-Binomial Transforms and the Hankel Transform, Michael Z. Spivey and Laura L. Steil

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Different approaches to the programming languages course, Sharon M. Tuttle, Liz Adams, Carol Zander, and Brad Richards

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Minimally Separating Sets, Mediatrices, And Brillouin Spaces, J. J. P. Veerman and James Bernhard

Submissions from 2005

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Review of: Combinatorics of Permutations by Miklós Bóna, Robert A. Beezer

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Combinatorics of Permutations, by Miklos Bona, Robert A. Beezer

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Finite Stationary Phase Expansions, James Bernhard

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Models for computer science K-12 outreach activities, Laurie Murphy, Tammy VanDeGrift, Brad Richards, and Brent Wilson

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A multi-institutional investigation of computer science seniors' knowledge of programming concepts, Brad Richards, Laurie Murphy, Renée McCauley, Suzanne Westbrook, Timothy Fossum, Susan Haller, Briana B. Morrison, Kate Sanders, Carol Zander, and Ruth E. Anderson

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A multi-institutional investigation of computer science seniors' knowledge of programming concepts, Brad Richards, Laurie Murphy, Renée McCauley, Suzanne Westbrook, Timothy Fossum, Susan Haller, Briana B. Morrison, Kate Sanders, Carol Zander, and Ruth E. Anderson

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A multi-institutional, multinational study of programming concepts using card sort data, Brad Richards, Kate Sanders, Dennis Bouvier, Sally Fincher, Gary Lewandowski, Briana Morrison, Laurie Murphy, Marian Petre, Josh Tenenberg, Lynda Thomas, Richard Anderson, Ruth Anderson, Sue Fitzgerald, Alicia Gutschow, Susan Haller, Raymond Lister, Renée McCauley, John McTaggart, Christine Prasad, Terry Scott, Dermot Shinners-Kennedy, Suzanne Westbrook, and Carol Zander

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Solution to Problem 1, 32nd Austrian Mathematics Olympiad, Michael Z. Spivey

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The Humble Sum of Remainders Function, Michael Z. Spivey

Submissions from 2004

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48 Hours of Putnam, Robert A. Beezer

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Proofs that Really Count: The Art of Combinatorial Proof, by A. T. Benjamin and J. J. Quinn, Robert A. Beezer

Asymptotic Behavior Of Solutions Of Dynamic Equations, Sigrun Bodine, Martin Bohner, and Donald Lutz

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Asymptotic Solutions And Error Estimates For Linear Systems Of Difference And Differential Equations, Sigrun Bodine and D. A. Lutz

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Teaching Wireless Networks with Minimal Resources, Brad Richards and Benjamin Stull

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Teaching Wireless Networks with Minimal Resources, Brad Richards and Benjamin Stull

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Solution to Problem 2826, Michael Z. Spivey and P. Bornsztein

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Solution to Problem 2834, Michael Z. Spivey and C. Curtis

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The Dynamic Assignment Problem, Michael Z. Spivey and Warren B. Powell