Seminars from spring semester 2013.

Sarah Urban – Math Talk – Long Talk

This semester I wrote my thesis on the determinants of municipal bond ratings. I created my own econometric model which may be used to forecast changes in future bond ratings. My math talk will discuss the regression techniques which I used in this model and analysis....

February 13, 2013, Natalie Battaglia

There are three basic "impossible" problems: (1) Trisecting an angle; (2) Duplicating a cube; (3) Squaring a circle. These problems have been solved since their development. We will look at the history of why some problems were considered impossible, given the...

Math Talk: Kuratowski’s Theorem – March 20

Kuratowski's Theorem may be stated as follows: [latexpage] Let $G$ be a graph.  $G$ is nonplanar if and only if $G$ contains a subdivision of either $K_{3,3}$ or $K_5$ as a subgraph. In the talk, we use the following definition of a graph: Let $V$ and $E$ be sets.  $G...

March 13th, Emilie Clark on the Tangram

A Theorem on the Tangram The article that I will be presenting on discusses a theorem about the number of convex polygons that can be created with a tangram set (an assortment of 7 polygons).  Leading up to the proof of the theorem, four lemmas are necessary to lay...

Jaci Luisi- March 13th

Introduction to Markov Chains A Markov Chain is a sequence of random values whose probabilities at the next states depend only on the state at the time, and no prior history. Shown below are two ways to represent a Markov chain: a transition matrix and its...

March 6, 2013, Kristin DeRose

The Perimeter of a Polyomino and the Surface Area of a Polycube A polyomino is the union of a collection of unit tiles that meet edge-t0-edge and are connected. A polyomino has no holes, so it's boundary is a single polygon. A natural question is whether the perimeter...

Long Talk by Sandra Jezuit

I am not entirely sure what I want to do my math talk on yet. However, I am leaning towards a topic in biostatistics. There are many applications of the topic, especially in medicine, genetics, and agriculture. I intend to pursue a Master's Degree in that field, and I...

Spring short talks (first round)

For next meeting, create a post listing date and topic of your short talk this semester.  If you are going to do a long talk, list a couple of possible topics, but we don't have dates set.  Here is the order of first short talks (according to my random number...