### Forty-Fourth Annual

State of Jefferson Mathematics Congress

October 2-4, 2015

Whiskeytown Lake, CA

PROGRAM

** Numerical Solution Techniques Applied to the Wave Equation**
by Tiernan Fogarty, Oregon Institute of Technology.

Undergraduate math students will most likely take a course in partial differential equations and be exposed to the one-dimensional wave equation. While exact solutions exist under various conditions, interesting applications often require numerical solution techniques. In this talk we give a brief reminder of the derivation of the wave equation followed by a discussion of circumstances where exact solutions can't be expected. Finite volume and finite difference methods for numerical solutions are introduced and compared via a set of examples chosen to demonstrate the methods' strengths and weaknesses.

** Let's Get Series about Calculus**
by Jeff Haag, Humboldt State University.

Infinite series contribute to calculus' reputation as being difficult. But, like most useful mathematics, series serve to simplify deep notions. We start with the Basel problem, that is, determine the sum

Our efforts to solve the Basel problem take us back to basic algebra,
then on to calculus, differential equations, physics, and beauty in these and other areas. Be
prepared to get *series* about calculus!

**Discussion Under the Oaks — Re-randomization Under the Oaks: a New Tool for an Old Test**
led by Jeff McLean, Sonoma State University.

George Cobb claimed that the standard introductory statistics course, employing methods of statistical inference based on the normal distribution, was "an unwitting prisoner of history." These methods were once necessary since much simpler approaches, such as re-randmization, were computationally out of reach. In this interactive discussion, we do simple physical simulations to demonstrate how the process of re-randomization capitalizes on visual learning and allows you to "see" key concepts of statistical inference.

PARTICIPANTS | |
---|---|

NAME | AFFILIATION |

Aaron Curfman | SU |

Adam Falk | HSU |

Adrian Smith | SSU |

Alex Scrobonia | SSU |

Andres Merlos | HSU |

Ariana May | SOU |

Ben Morales | HSU |

Caleb Hill | HSU |

Caylan Kolste | HSU |

Crystal Salas | SSU |

Elaine Newman | SSU |

Elise Hampton | SOU |

Elizabeth Feather | SU |

Greg Detweiler | SOU |

Gregg Waterman | OIT |

Heather Harrison | SSU |

Jacob Schultz | SOU |

James T. Smith | SFSU |

JaneEllen Barrow | SSU |

Jeff McLean | SSU |

Jim Fischer | OIT |

Joanna Beem | HSU |

Joe Collins | SOU |

Jonathan Hooper | SU |

Karen Castillo | SU |

Karlie Elliott | HSU |

Kemble Yates | SOU |

Ken Yanosko | HSU |

Kyle Hultquist | SOU |

Kylie Reich | HSU |

Larry Shrewsbury | SOU |

Maddalena Heisler | SSU |

Matthew Hall | HSU |

Michael Kelly | SU |

Miguel Otivares | HSU |

Mo Pfeifer | SOU |

Nick Franceschine | SSU |

Randall Paul | OIT |

Rick Luttmann | SSU |

Rick Spjut | UCSB |

Ross Jacobs | SSU |

Terris Becker | SSU |

Thomas Burns | SOU |

Tiernan Fogarty | OIT |

Walker Gemmill | SU |

Wenjing Li | SU |

Yesenia Torres | HSU |