Computational Methods for Numerical Analysis with R
This book is a treatment of the traditional numerical analysis course using R as the underlying programming language. The traditional numerical analysis outline begins with numerical error, then linear algebra, interpolation, integration, optimization, and differential equations. In this way, the outline covers the entire introductory mathematical sequence. This text will be suitable for the advanced undergraduate student or first-year graduate student. The book will require a solid understanding of linear algebra, differential and integral calculus, and differential equations. Students of mathematics, computer science, physics, engineering, and other mathematically intensive disciplines will have sufficient background to read and understand the book.
Socioeconomic Effects of the National Flood Insurance Program
In this book, I estimate the net the social benefit of the NFIP for the years 1996 through 2010, including the estimated consumer surplus for flood insurance using historical financial and survey data available from the NFIP. Using this estimate and other components of net social benefits, this analysis derives a sufficient statistic for the insurance component of the NFIP and is joined with other estimates of the benefits of the FMA to estimate the net social benefits of the combined program. A supplemental analysis is done using different income weighting scenarios in a distributionally weighted benefit-cost analysis. Finally, this study includes an analysis of the change in government revenue attributable to the NFIP and FMA programs. Sensitivity analysis is conducted on all results. Presented through each component of the analysis are models usable by others for extending and revising the analysis, or applying to other programs.
Teaching and Learning Mathematics Online
Online education has grown to be a major component of the higher education market in both the United States and worldwide. Students take entire degree programs online or selected courses online for convenience. In addition, many instructors have adopted online resources to support face-to-face instruction, either as a supplement or through “flipping-the-classroom,” which pushes most instruction outside the traditional classroom. Teaching and learning online introduces a number of complications ranging from effective assessment to managing student engagement. In mathematics and statistics courses, these complications emphasize already existing difficulties in working with students with math anxiety, the abstractness of the material, and notation. We will bridge these issues and present meaningful solutions for teaching and learning mathematics online.