Experiment-Based Modeling and Computation in Applied Mathematics

该项目将支持购买实验室和计算设备，用于重组新罕布什尔大学应用数学课程的教学。该项目由仪器和实验室改进计划（ILI）资助，该计划的目标是通过支持开发新的或改进的仪器为基础的本科实验室和/或科学、数学或工程领域课程的项目来提高本科课程的质量。实验室的目的是建立一个环境，学生将面对数学应用的三个重要组成部分：(1)所研究系统的现实，(2)现实的数学模型，以及(3)用于将两者联系起来的计算算法。学生将能够(1)开发和探索显示基本物理和工程概念和过程的各种系统的数学模型，(2)基于这些系统进行实验室实验并收集描述系统行为的数据，(3)使用现代计算方法分析数据。(4)利用实验结果来探索其模型和分析中使用的算法的有效性。

This project will support the purchase of laboratory and computing equipment which will be used to restructure the teaching of applied mathematics courses at the University of New Hampshire. It is being funded under the Instrumentation and Laboratory Improvement (ILI) Program, which has the goal of improving the quality of the undergraduate curriculum by supporting projects to develop new or improved instrument-based undergraduate laboratory and/or field courses in science, mathematics, or engineering. The purpose of the laboratory will be to establish a setting where students will confront three important components of a mathematical application: (1) the reality of the system under study, (2) the mathematical model of that reality, and (3) the computational algorithms which are used to relate the two. Students will be enabled (1) to develop and explore mathematical models of a variety of systems which display fundamental physical and engineering concepts and processes, (2) to conduct laboratory experiments based on these systems and collect data describing the systems' behavior, (3) to analyze the data using modern computational methods, and (4) to use the results of the experiments to explore the validity of their models and the algorithms used in their analyses.