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Full-Text Articles in Physical Sciences and Mathematics
A Pedagogic Analysis Of Linear Algebra Courses, Andrew Taylor
A Pedagogic Analysis Of Linear Algebra Courses, Andrew Taylor
Mathematics & Statistics ETDs
This project is concerned with investigating the question, "Do our applied linear algebra courses (at the University of New Mexico) adequately prepare STEM students for future work in their respective fields?" In order to explore this, surveys were issued to three groups (sections) of students (among two different instructors) at the conclusion of their applied linear algebra course, as well as STEM professors/instructors from a variety of STEM fields. Students were surveyed regarding their perceived mastery of given topics/ideas from the course and professors/instructors were surveyed about the level of mastery they felt was necessary (referred to as ``desired mastery") …
A Deep Learning Approach To Uncertainty Quantification, Mst Afroja Akter
A Deep Learning Approach To Uncertainty Quantification, Mst Afroja Akter
Mathematics & Statistics ETDs
In this thesis we consider ordinary differential equations (ODEs) with random parameters. We focus on Monte Carlo (MC) sampling for computing the statistics of some quantities of interest (QoIs) given by the solution of the ODE problems. We use the 4th order accurate Runge-Kutta (RK4) method as the deterministic ODE solver. We then develop a hybrid MC sampling method that combines RK4 with neural network models to efficiently compute the statistics of QoIs within a desired accuracy. We present several numerical examples to verify the accuracy and efficiency of the proposed hybrid method compared to classical MC sampling. The hybrid …
Assessing The Efficacy Of Home-Based Renal Care Using Propensity Scores, Eunice Choi
Assessing The Efficacy Of Home-Based Renal Care Using Propensity Scores, Eunice Choi
Mathematics & Statistics ETDs
This study investigated the efficacy of Home-Based Renal Care (HBRC) in diabetic Zuni Indians with Chronic Kidney Disease (CKD) in New Mexico using propensity scores. Home based intervention as opposed to standard clinical care is a pragmatic treatment approach that incorporates the preference of population in hopes of addressing a cultural barrier to healthcare in this high risk population. This study uses a logistic regression model and a linear regression model to estimate the average effect of HBRC on increasing the likelihood of participants taking a more active role in the management of their chronic condition compared to the control …