The purpose of this conference is to bring together leading regional and national researchers in probability theory and its applications, along with graduate students and others, to foster interactions and stimulate research activity. The organizing committee spreads among three universities in the Intermountain West region: Oregon State University, University of Arizona and the University of Utah. The registration is free. For more information visit http://www.math.utah.edu/~firas/FPD18/
Techniques from harmonic analysis play a crucial role in understanding problems in analytic number theory. For example, in 1916 Hermann Weyl initiated the study of the equidistribution of sequences on the additive circle, connecting fourier analysis to number theoretic dynamics.
Such techniques can be extended to other locally compact abelian groups, leading to some interesting number theory. We look at the p-adic unit ball as one such example. The talk is primarily intended to give a general mathematical audience a flavor and appreciation of this type of mathematics, and only a basic knowledge of analysis will be assumed.
Active learning has many documented benefits both for students and instructors. Moreover, there is increasing evidence that it disproportionately benefits women, students of color, and students who previously denied the same learning opportunities as others. However, the empirical evidence for this disproportionate benefit doesn't explain why it happens, nor does it guarantee that all students will benefit from active learning. In fact, my own experience with active learning is that it is difficult to do well and sometimes it can have detrimental effects on students if we're not careful. So, we should aim not just for active learning, but learning that is both active and inclusive. We'll discuss some principles and practical strategies for making active learning more inclusive. (If you are able to, please watch David Pengelley's EMES presentation on active learning before this session.)
NOTE: This video presentation is part of MIT's Electronic Mathematics Education Seminar (EMES) series.
Cecilia will discus a poster that she will be presenting at ORATE (which stands for the Oregon Association of Teacher Educators, http://www.wou.edu/~girodm/orate/).
Some optional background reading for Cecilia's presentation is: Chazan, D., Herbst, P., & Clark, L. (2016). Research on the teaching of mathematics: A call to theorize the role of society and schooling in mathematics instruction. In D. Gitomer & C. Bell (Eds.), Handbook of research on teaching (5th ed.) (pp. 1039-1097). Washington, DC: American Educational Research Association.
Note: This is a long paper - pages 1064-1079 are most relevant to the presentation.
This tutorial on gradient-based methods begins with Newton and Steepest Descent methods, and culminates with Levenberg-Marquardt. Along the way we will discuss variants such as Gauss-Newton, Inexact Newton, Quasi-Newton, and damped Gauss-Newton, as well as techniques including Line Search Strategies and Trust Regions (time permitting). Some theory on convergence rates will be presented. However, we will be primarily concerned with comparing and contrasting the various methods, and their particular applicability to nonlinear least squares objective functions in parameter identification problems. Simple numerical demonstrations will be presented.