Thursday, December 10, 2015

Congratulations to the Students that Participated in the 76th William Lowell Putnam Mathematical Competition

On Saturday, December 5, Grace McCourt, Paul Pernici, Emily Marconi, Michael Woods and Charlie Michel participated in the 76th William Putnam Mathematical Competition. They worked on 6 problems from 10 a.m. - 1 p.m. and then 6 more problems from 3 p.m. - 6 p.m. Typically, 50% of the people who enter this competition nationwide (and in Canada) receive 0 points on it. The exam seemed particularly difficult this year, though it seems a few of the AU students made some progress  on a couple of the problems. We are expecting that there may have been some nonzero scores again this year. We hope to follow with some additional news on this at a later date. Keep posted and congratulations to the students that participated.

Thursday, December 3, 2015

Fall Study Break set for Thursday, December 10

Math and Computer Science Students you are cordially invited!

Math 450 Presents "Designing a Table Both Swinging and Stable"


In an article from the September 2008 edition of The College of Mathematics Journal, Greg N. Frederickson analyzes Howard Eves’ physical approach to designing a table both swinging and stable. The physical construction of this table was based off of Henry E. Dudeney/Charles W. McElroy’s geometric dissection discovery in 1902. The idea behind this discovery was to transform an equilateral triangle to a square using hinged dissection.

          Frederickson takes us through the history and thought process behind this idea as well as the difficulties faced by these men as they constructed this design. He also takes into account the improvements that needed to be made and those that have been made to the overall design. Who knew the construction of only one table could yield two entirely different shapes? By the end of this presentation you’ll be tempted to build this geometrically savvy table yourself!

Frederickson, Greg N., “Designing a Table Both Swinging and Stable.” The College Mathematics Journal 39.4 (2008): 

 
Math 450 Presents
Designing a Table Both Swinging and Stable
by Ashley Herman
Tuesday, December 8, 2015
1:40 p.m.
Patterson 301
 
Come join us! All are welcome.


Monday, November 23, 2015

Math 450 Presents "Deriving the Fair Price"


Deriving the Fair Price: Examining the Binomial Pricing Model and the Black-Scholes Formula

Actuaries: "Part super-hero. Part fortune-teller. Part trusted advisor" (www.beanactuary.org/what). However, in order to achieve this part super-hero status, actuarial students must first pass exams published by the Society of Actuaries. Ashland University provides classes for the first two out of nine professional exams, but during my talk, I will explore some topics covered on the syllabus for the third exam, Models of Financial Economics. After reviewing some background information on financial and derivative markets, I will explain the importance of a fair option premium. Then, using the Binomial Pricing Model and the Black-Sholes formula, we will examine these different techniques used in creating and evaluating the market price for Put and Call options with stocks listed on the New York Stock Exchange as the underlying asset.

Primary Sources: McDonald, Robert L. Derivatives Markets,Third Edition, Chapter 10 (sections 10.1 - 10.4) and Chapter 12 (section 12.1)

Math 450 Presents
Deriving the Fair Price
by Katie Hurley
Tuesday, December 1, 2015
1:40 p.m.
Patterson 301

Come join us! All are Welcome.

Crocheting Hyperbolic Planes

Linda Morales and Becca Stettin

Fun ways to learn math: Dr. Swanson's Modern Geometry class are crocheting hyperbolic planes in class today. Pictured are Linda Morales and Becca Stettin learning about hyperbolic planes through crocheting.

Thursday, November 19, 2015

Math 450 Presents "The Pioneering Role of the Sierpinski Gasket"

We will be looking at different aspects of the Sierpinski Gasket and how it relates to the different generations of the Ulam-Warburton Automation and the Hex-Ulum-Warburton Automation as shown in the September 2015 edition of Math Horizons.

Math 450 Presents
The Pioneering Role of the Sierpinski Gasket
by Zach Brown
Tuesday, November 24, 2015
1:40 p.m.
Patterson 301

Come join us! All are Welcome.

Friday, November 13, 2015

Math 450 Presents "The Mathematics Behind Spot It!"


In the game, Spot It!, each of the 55 cards have eight pictures and any two cards have exactly one picture in common. It may be easy to spot the similarity between two given cards, but how easily is this game created? In the April 2015 edition of Math Horizons, Burkard Polster wrote "The Intersection Game" to address that question. This talk will present how to build Spot It! decks and vaiations using point-line geometry, projective planes, t- (v,k,λ) designs.

 
 
Math 450 Presents
The Mathematics Behind Spot It!
by Grace McCourt
Tuesday, November 17, 2015
1:40 p.m.
Patterson 301
 
Come join us! All are Welcome.