Mathematics

The Hudson Colloquium Series

In 1988, at the initiative of Dr. Anne Hudson, the then Department of Mathematics and Computer Science at Armstrong State College began a near-weekly luncheon colloquium. Students and faculty would gather in the luxurious confines of Hawes 203 for hot dogs, spaghetti, taco salad, etc., and an enjoyable talk on some topic in mathematics or computer science. In 2003 this luncheon-colloquium series was named in honor of Anne and Sigmund Hudson.

Today, the colloquium is sponsored by the Department of Mathematics and takes place on Wednesdays at 12:15pm in University Hall, room 157 (unless otherwise noted). For a donation of a dollar—$2 for faculty and other non-students—you can enjoy a delicious snack and drink, invigorating conversation with students and faculty members, and a lecture, demonstration, or other event arranged by faculty, students and/or visitors. Please come.

Please contact Dr. Tricia Brown if you are interested in giving a presentation. Also, please send your email address to Dr. Brown if you would like to be added to the mailing list. If you're interested in helping with lunch preparation, please contact Dr. Brown. Her email is Patricia.Brown@armstrong.edu

Spring 2014

April 16 - Dr. Michael Tiemeyer
Flippin' Calculus

Abstract: My ambitions and the realities of introducing a flipped-classroom model of instruction in first semester calculus.

April 4 - Dr. James Coykendall, Clemson University
How big is big?

Abstract: The advent of modern computation has deadened our perspective. Even simple, hand-held scientific calculators make computations with large numbers relatively easy. In this general interest (and elementary) talk, we will try to give the audience perspective on what "large" really is. We will also sprinkle in some probability and give some very non-intuitive results.

April 2 - Putnam Team - Dr. Sungkon Chang, Joseph Dinatale, and Nicolas Smoot
Reflections on the 74rd Annual Putnam Mathematical Competition

Abstract: In December 7, 2013, an intrepid team of Armstrong students spent most of their Saturday working on a dozen frighteningly challenging mathematical problems. Why? Just another installment of the notoriously difficult William Lowell Putnam Mathematical Competition. Members of the team and faculty members will discuss solutions of their favorite problems from the most recent competition.

March 5 - Dr. Lorrie Hoffman
Use of the Quandt Method: A Personal Retrospective

Abstract:  Professor Richard Quandt (Senior Research Economist at Princeton) published a paper in the Journal of the American Statistical Association in 1958.  Presently, it has 423 citations according to Thomson Reuters Web of Science.  The topic of interest was the creation of a statistically valid method to identify the “join/break/split/change point” for data sets indexed over time.  This author (with others:  W. Baird, J. Hudson, H. King, G. Knofczynski, A. Rogers, J. Rowell, J. Schlieper, B. Waters, and G. Wimer) has adapted, utilized and applied the Quandt method and also created an alternate methodology to approach problems of this type.  Over the past 8 years the work has resulted in at least five local (two Armstrong Hudson, three Student Research Symposiums), one regional (MAA), and two national (JSM in DC and in Miami) presentations, two travel grants (NSF funding for J. Rowell in 2013 and for L. Hoffman in 2009), two proceedings papers (for the ASA), an accepted refereed abstract (for the American College of Sportsmedicine), and one journal paper in Communications in Statistics - Simulation and Computation (2010).  And there is much more work to be done.  This talk will touch on the past 8 years and offer opportunities to pursue open questions related to this type of statistical modeling activity.  

February 19 - Nicolas Smoot* and Dr. Travis Trentham
On the Stability of Ring Structures in Direct Limits

Abstract:  In this talk all rings are commutative with 1.  Given a collection of algebraic structures, it is often possible to construct a new structure with algebraic properties that depend on the constituent sets.  The direct sum and tensor product are important examples of these types of constructions.  Another example is the direct limit, which is the subject of our talk.  It turns out that the direct limit of a directed system of rings often inherits significant properties that are shared by the other rings in the system, including a ring structure.  We wish to begin by defining the notion of a directed set, a direct system of rings, and the corresponding notion of a direct limit.  We can then describe several ring properties that are stable under construction of the direct limit, as well as several unstable properties.

February 5 - Elijah Allen
Visualizing the Collatz conjecture

Abstract: Also known as the 3n+1 conjecture, if we iteratively take a positive integer and if it is even divide by 2 and if odd multiply by 3 and add 1 then Collatz conjectures that we will always reach 1. Our approach to this problem is to create an image for any given starting number in order to create an intuitive understanding and then using this to fuel the a mathematical understanding.

January 22 - Dr. Tricia Brown* and Dr. Eric B. Kahn
American Football and an Unexpected Introduction into Upper Level Mathematics

Abstract: Guiding undergraduate mathematics majors through the transition from calculation based courses to proof based ones is arduous for the instructor as well as frustrating for the student. In this talk, we will discuss how an application of concepts from abstract algebra and enumerative combinatorics to American football can ease these tensions. First focusing on the rules of the game and how they can be used to define an equivalence relation, we set up a discussion of how to classify and count structurally different offensive formations. The talk will be accessible to undergraduate mathematics students and football and non-football fans alike.

Hudson Colloquium Archives

SEE ALSO

CST Colloquium