State of Jefferson Mathematics Congress
October 2-4, 2015
Whiskeytown Lake, CA
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.
|James T. Smith||SFSU|