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- Ache, Paul • Kutztown University
- Using Data to Teach Calculus Concepts
- A brief overview will be presented on how sets of data can be used to teach the concepts of calculus. This approach has been used by the presenter for a number of years when teaching calculus for the social sciences and business majors.
- Bateman, Bill • Kutztown University
- The Trouble with Being Department Chair
- Past, present, and future department chairs are invited to a discussion of problems that come from being a department chair. Come share your triumphs and tragedies.
- Bergman, Jen & Hogan, Doug • Juniata College
- I’m Leaving on an Overbooked Jet Plane
- The solution to Problem B (Airline Overbooking) of the 2002 COMAP Mathematical Contest in Modeling submitted by Juniata College’s team will be presented. This team was deemed “Meritorious.”
- Detlefsen, Michael • Slippery Rock University
- Linearization of The Lattice of Partitions of n
- For n at least 6 the lattice of partitions of n ordered by majorization is non-linear. We establish natural linear extension of these lattices for each n.
- Dimov, Jordan, Gramp, Pete, & Paszint, Cathy • Clarion University
- Cleaning up for Scrub Lizards (ICM Entry)
- The solution to the problem “If we SCRUB our land too much, we may lose the LIZARDs” of the 2002 COMAP Interdisciplinary Contest in Modeling submitted by Clarion University’s team will be presented. This team received the distinction of “Honorable Mention.”
- Early, Nick & Mooney, Brigid • Indiana University
- The Answer is Blowin’ in the Wind (MCM Entry)
- The solution to Problem A (Wind and Waterspray) of the2002 COMAP Mathematical Contest in Modeling submitted by Indiana University’s team will be presented.
- Fenwick, James • Millersville University
- Assessment of General Education Mathematics
- Assessment of General Education is one of the accreditation standards established by Middle States. I will present an outline of the math portion of the general Education program at Millersville University along with our attempts to assess General Education Mathematics. The session will end with a general discussion.
- Ferland, Kevin • Bloomsburg University
- Optimal Networks Have Maximum Toughness
- Given fixed numbers of computers and cables to connect them, what is the best way to link up the computers to form a network? We consider graph parameters which measure the strength of a network.
- Frank, D.H. • Indiana University
- Home Team Advantage: Fact or Fiction
- This presentation will examine some of the banal statistics given in sports and how they relate to the probability of victory using logistic regression.
- Gendler, Steve, & Rose, Jim • Clarion University
- Art in Perspective
- A “making connections” pairing from Clarion University consisting of introductory courses in Art and Mathematics and aimed at beginning Art majors. What we did, how students reacted, and what we will do differently next time.
- Guisse, Amadou • Edinboro University
- An Algorithm for Integration by Substitution
- This presentation is an algorithm on integration by u-substitution of indefinite Riemann integrals. I developed this teaching algorithm over the years, and refined it every semester. I hope it will be a great teaching tool for any professor teaching Calculus.
- Hartung, Paul • Bloomsburg University
- Incorporating a 5th Grade Arithmetic Test
into the Math Content Course
- An arithmetic test, consisting of questions from grade 4, 5, and 6 textbooks (Heath and Addison Wesley) is counted as a test grade in Math for Elementary Teachers. The results are astounding!
- Holben, Megan • Bloomsburg University
- Spouting Off About Fountains (MCM Entry)
- A solution to Problem A (Wind and Waterspray) of the 2002 COMAP Mathematical Contest in Modeling submitted by one of Bloomsburg University’s teams will be presented.
- Iseri, Howard • Mansfield University
- Impulse Gauss Curvatures
- It can be argued that the Gauss curvature captures the essence of two-dimensional geometry, but it is hard to understand. Paper models can make some aspects of the Gauss curvature accessible by concentrating the curvature into curvature singularities like the vertex of a cone.
- Juncos, Daniel • West Chester University
- Numerical Estimations of a Queueing Network
- I will be examining a queueing network consisting of an initial queue/server(Q/S) system , feeding into two intermediate Q/S systems, which then both feed into one final Q/S system. I will be investigating the flow of the entire network when variables such as queue size, and the distribution of service time for each Q/S are manipulated. The initial system will follow an M/M/1 system, in which arrivals follow a Poisson process, and service times are exponentially distributed. I will be using MATLAB to produce the flow of each model.
- Lattanzio, John • Indiana University
- Critical Cliques
- A critical clique is the generalization of a critical vertex of a graph. A couple of properties of critical cliques will be given and a relationship between critical cliques and a longstanding conjecture of Erdos and Lovasz will be given.
- Lee, Tom • Waterloo Maple, Inc.
- The Past, Present and Future of Mathematical Computing:
The Waterloo Maple Experience
- A survey of today’s computing landscape shows a wide range of different approaches to doing math on a computer. Deeply rooted in the “symbolic” branch of mathematical computing, the Maple system has evolved to be a much more diverse platform with significant developments in numerical computation, visualization, and programming. This presentation offers insight into the design and evolution of a principal element of mathematical computing. It looks at the general history of mathematical computation and the role that symbolic systems have played. Next, it offers an overview of current technology and places new developments in a general application context: general design philosophies, current strengths and challenges, and goals for the immediate future. Finally it offers a glimpse of what the math community might expect to see in the longer term future. Live demonstrations of various Maple technologies (current and forward-looking) will be presented throughout the talk.
- Lister, Lisa, & Polhill, John • Bloomsburg University
- Precalculus and Calculus: The Bloomsburg Experiment
- As in many universities, the students in Calculus at Bloomsburg have often struggled to survive. We will discuss the steps we have taken to make the Calculus sequence a gateway to, instead of a roadblock for, the math and computer science majors. In particular, we will talk about Placement, Precalculus, and Calculus Experiments.
- Loomis, Paul
- A Primer on Digit Product Sequences
- Let n be a natural number. Take the product of the non zero digits of n and add that to n. Keep doing this and you have a digit product sequence. For example: 1, 2, 4, 8, 16, 22, 26, 38, 62,... . There are many interesting questions (with a few answers) we can ask about the behavior of these sequences. (Suitable for undergraduates.)
- Lu, Youmin • Bloomsburg University
- Asymptotics of Solutions to a Non-linear Differential Equation
- The non-linear differential equation
 is derived from the famous Shrödinger equation. We study this equation and find the asymptotics of some of its solutions as  .
- Mauch, Elizabeth • Bloomsburg University
- Incorporating the PSSA into Math Ed Content Courses
- The PSSA mathematics assessment has changed the way mathematics in elementary school is presented ant thus the way preservice elementary teachers need to be taught. We will discuss methods to incorporate new mathematics strategies in these courses.
- McClintock, Scott • West Chester University
- A Radical Expression for Cos
 and Cos 
- This presentation will demonstrate how to use the concepts and techniques of abstract algebra in deriving precise, radical expressions for certain cosines. In particular, it will look at the cosines of 2pi/7, 2pi/13, and 2pi/19. These values will be attained using the basic concepts of Galois groups in addition to more basic algebra methods such as the manipulation of complex numbers and Cardano’s formula for solving cubic polynomials.
- McDevitt, Tim • Millersville University
- Teaching Undergraduate Mathematics with Mathematica
- I will discuss the ways in which I use Mathematica in a variety of courses including calculus, linear algebra, ordinary and partial differential equations, numerical analysis, and probability and statistics. I will demonstrate how mathematics can be made more intuitive for students by illustrating important concepts graphically, and I will conclude with a discussion of assessment issues related to teaching with computer algebra systems.
- Monroe, Lee • Addison Wesley
- My Math Lab
- My Math Lab is an online, multimedia product produced by Addison Wesley that combines course management, tutorial problems, and tutorial help for the students along with the textbook and supplements.
- Moser, Joseph • West Chester University
- Limit and Derivative of a Product – Without the “Tricks”
- These well-known results are obtained without the “add and subtract” trick.
- Moser, Joseph • West Chester University
- Qn and Ln
- A graph theoretic/combinatoric/probabilistic tour of the n-cube and the n-lattice.
- Noubary, Reza • Bloomsburg University
- Randomness and Its Role in Modern Physics
- The ideas of randomness are central to much of modern physics and have overthrown the “clockwork universe” conceptions of earlier centuries. The laws of probability and statistics received their first major application in physics in the kinetic theory of gases developed by Maxwell and Boltzmann. Here the use of statistics is necessary because the number of particles involved is too great for a deterministic calculation. With the advent of quantum theory, physics seemed to be based on an essential randomness, whose reality was debated by Bohr and Einstein. Only recently has a convincing demonstration been given that the inescapable randomness of quantum theory is a fact of nature. This presentation will discuss this approach and will demonstrate its effectiveness through a few examples.
- Packard, Earl • Kutztown University
- Preparing Mathematical Animations for the Web with Maple 6
- Preparing mathematical animations for the Web with Maple 6. I will describe the procedures necessary to:
- create mathematical animations with Maple 6,
- export the animation as a GIF file, and
- create movie clips with QuickTime.
- Phy, Lyn • Kutztown University
- Is Kutztown University a “Party School”?
- Kutztown University’s President’s Roundtable on Alcohol and Other Drugs challenged faculty members to develop and implement curriculum infusion projects aimed at reducing high-risk behavior among college students. This presentation will describe my project which involved my Introduction to Mathematics class.
- Pirnot, Tom • Kutztown University
- By George, Let’s Teach Some Fuzzy Math!
- A brief, low-level introduction to fuzzy logic and fuzzy decision making. The talk will be highly interactive, with plenty of handouts. Enough material will be covered that you can use it as an extension topic to the conventional logic coverage in the freshman liberal arts mathematics course.
- Rehn, Carol • Lock Haven University & David Henriques • Shippensburg University
- Alternative Mathematics Placment Tools:
PSSA, Accuplacer, SAT, etc., Panel Discussion
- A panel discussion session to revisit mathematics placement across the state and beyond. How can we use the results from the PSA tests? What does the College Board have to offer? How have SSHE schools changed their placement pocedures?
- Stoudt, Gary • Indiana University
- The History of the Mathematics Department at IUP
- In this talk we will take a look at the mathematics curriculum and faculty at IUP from its Normal School days to the near past. Included will be people, courses, and texts. We will also discuss how a similar study might be done at other schools.
- Sylvester, Marc • Edinboro University
- NSF CETP-PA Secondary Mathematics Workgroup
- Meeting of the Secondary Mathematics Workgroup of the Collaborative for Excellence in Teacher Preparation in Pennsylvania (CETP-PA); anyone else interested is invited to attend as well.
- Szymanski, Andrzej • Slippery Rock University
- Infimum Principles
- Results related to Nash’s Equilibrium Theorem, Gale-Nikaido Theorem in Economics.
- Vasko, Fran • Kutztown University
- Math Lends a Hand to Little League Baseball
- Recently a friend asked me if mathematics could be used to solve a problem that happens all too often with Little League baseball teams. With the current Little League season ending, he was frustrated with the problem of trying to get each team member to play about the same amount of time. He felt strongly that Little League baseball should be about developing the skills of all the team members, and that not just the best players should be on the field most of the time with the players who really need the practice and experience sitting on the bench.
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