Mathematical Modeling Prompts in the Illustrative Mathematics Algebra 2 Course Kyle Piontek Graduate Student University of Wisconsin-Milwaukee An analysis of the mathematical modeling in the modeling prompts from the Illustrative Mathematics Algebra 2 curriculum. In this presentation we will discuss …
Bootstrap-Based Robustness Analysis of Parameter Optimization in Climate Models Using QuadTune Luis Hasenauer Graduate Student University of Wisconsin-Milwaukee Tuning the parameters of climate models is essential for improving their performance, but this process is often complicated by structural limitations, overfitting, …
A Mini History of Geometry with an Emphasis on Transformational Geometry and an Analysis of Illustrative Mathematics Geometry Curriculum Mrs. Jennifer Hartzheim University of Wisconsin-Milwaukee A brief look at the history of geometry, with special attention to transformational geometry. Followed …
Compartmental Ordinary Differential Equation Model of the Amyloid-beta Cascade Hypothesis in Transgenic TgF-344AD Rats Mr. Micah Hesketh Graduate Student University of Wisconsin-Milwaukee Alzheimer’s disease is a devastating neurodegenerative disease whose etiology is poorly understood and for which current treatments provide …
Exploring the Development of Function Concepts in the Illustrative Mathematics Curriculum Mr. Cheri Janardhanan Graduate Student University of Wisconsin-Milwaukee This thesis examines the evolution of function concepts within the Illustrative Mathematics (IM) curriculum, focusing on how these concepts are introduced, …
Convergence Of A Numerical Scheme For Optimal Stopping Of A Diffusion Over A Finite Time-Horizon Mr. Steffen Domke Graduate Student University of Wisconsin-Milwaukee This dissertation establishes an approximation scheme for finite time-horizon stopping problems involving a singular stochastic process on …
Theory of Z_n - Structures Mr. Joe Paulson Graduate Student University of Wisconsin-Milwaukee In this defense, we discuss the boundaries of Type F_n groups; those being groups whose K(G,1) complex has a finite n-skeleton. The boundaries we develop extend the …
Doubly Stochastic Model With Covariates For Replicated Poisson Point Processes Mr. Shenyan Pan Graduate Student University of Wisconsin-Milwaukee Poisson point processes (PPPs) are powerful tools for modeling random point occurrences in multidimensional spaces, with applications across various fields. Although the …
A Bootstrap Goodness-of-Fit Test for Parametric Survival Models Mr. Marco Vaassen Graduate Student University of Wisconsin-Milwaukee In many scientific disciplines, finding a suitable model compatible with real-world observations is the basis for statistical inference and prediction. In survival analysis, this …
Juggling Counts Presented by Prof. Steve Butler, Morrill, Professor of Mathematics at Iowa State University Mathematics is a language which can help us describe and explore patterns. One source of patterns that mathematicians have been exploring comes from juggling (the tossing …