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**Math 450 Senior Seminar Presents**

**"Optimal Bluffing Strategies in Poker"**

**by: Joel Moseman**

**Tuesday, April 28, 4:30 p.m.**

**in Patterson 301**

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Every square matrix has a determinant but computing a matrix that is larger than

2 x 2 can be difficult. Most students learn the Laplace expansion and Gaussian method for computing these determinants. These methods are effective but are prone to many mistakes especially when fractions show up in the Gaussian method.*Alice's Adventure in Wonderland's *author, Lewis Carroll, invented a method to compute the determinants for these large matrices. It is named after his given name, Charles Lutwidge Dodgson. The Dodgson Condensation comes across some issues when working with zeroes in the matrix. This talk will cover the original method, theorem and solution for the zero issue. Then it can be determined whether the Dodgson Condensation is an easier method for computing these determinants.

**Math 450 Senior Seminar Presents**
**"Computing Determinants Using the Dodgson Condensation Method"**
**by Kylee Bogner**
**Tuesday, April 21, 4:30 p.m.**
**in Patterson 301**

**All are Welcome!**

2 x 2 can be difficult. Most students learn the Laplace expansion and Gaussian method for computing these determinants. These methods are effective but are prone to many mistakes especially when fractions show up in the Gaussian method.

Markov chains have been used in a wide variety of areas such as computer, science, linguistics and finance. After an overview of Markov chains is presented, the talk will focus on the application of Markov chains to the popular board game

The seventy-fifth annual William Lowell Putnam Mathematical Competition was held on Saturday, December 6, 2014. The results are in: Ashland University had two students receive non-zero scores. They were

The William Lowell Putnam Mathematical Competition began in 1938 and is designed to stimulate a healthy rivalry in mathematical studies in the colleges and universities of the United States and Canada. Mr. William Lowell Putnam, a member of the Harvard class of 1882, believed in the "merits of an intellectual intercollegiate competition." Elizabeth Lowell Putnam created a fund in 1927 in honor of her late husband known as the William Lowell Putnam Intercollegiate Memorial fund. The first competition was in the field "of English and then a few years later another competition was held in mathematics between two institutions." It was not until after her death in 1935 that "the examination assumed its present form and was placed under the administration of the Mathematical Association of America" (The Mathematical Association of America, Exam Brochure).

This year a total of 4,320 students from 577 colleges and universities in Canada and the United States participated in the competition. Pernici did better than 76.1% of students taking the exam and McCourt did better than 42.4% of students taking the exam. Andrew Rowe, a 2006 graduate, still holds the record for the highest percentile rank, doing better than 76.2% of students taking the exam.

This year's top 5 teams were: 1.) MIT, 2.) Harvard, 3.) Rensselaer Polytechnic, 4.) Waterloo, and 5.) Carnegie Mellon. Thank you to all of the AU students who participated in this year's exam.

Joel Moseman Passes Exam P |

Actuaries are professionals who provide expert advice and relevant solutions for business and societal problems that involve economic risk. The actuarial profession is consistently ranked as one of the top 5 careers in the United States.

Congratulations, Joel, and good luck!

For more information about the actuarial Science Program, contact Dr. Christopher Swanson, at cswanson@ashland.edu or visit the website www.beanactuary.com.

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