Holistic Numerical Methods

整体数值方法

• 批准号: 0341468
• 负责人: Autar Kaw
• 金额: $ 36.33万
• 依托单位: University of South Florida
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 2004
• 资助国家: 美国
• 起止时间: 2004-03-01 至 2007-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0341468&HistoricalAwards=false
• 关键词: Holistic; Numerical; Methods

The project is developing educational modules to teach the following mathematical procedures; simultaneous linear equations; regression; integration; and ordinary differential equations. The modules are providing faculty and students customization based on engineering major (Chemical, Civil, Computer, General, Electrical, Industrial, and Mechanical) and computational system (Maple, Mathcad, Mathematica, and Matlab).Each instructional module enhances instructor preparation and development, and student educational experience by a) reviewing pre-requisite mathematical background information, b) demonstrating the need for and use of numerical solutions through real-life examples, c) combining text and interactive self-directed simulations to illustrate algorithms, examples, advantages, pitfalls, errors and convergence of numerical techniques, d) relating historical information to numerical methods, and e) providing self-assessment tools and problem sets.Self-sustaining dissemination avenues of project materials include the Numerical Methods website at USF, website hubs of major course management providers, digital libraries, and application centers of computational systems. Results are shared at major engineering education conferences and published in engineering education journals. The impact of the modules on student learning, student satisfaction, and instruction acceptance at three diverse institutions will be evaluated using formative and summative evaluation techniques.

该项目正在开发教学模块，教授下列数学程序：联立线性方程;回归;积分;和常微分方程。这些模块为教师和学生提供基于工程专业的定制（化学，民用，计算机，通用，电气，工业和机械）和计算系统（Maple、Mathcad、Mathematica和Matlab）。每个教学模块通过a）回顾先决的数学背景信息，B）通过现实生活中的例子证明对数值解的需要和使用，c）结合文本和交互式自我导向模拟来说明数值技术的算法、例子、优点、陷阱、错误和收敛，d）将历史信息与数值方法相关联，e）提供自我评估工具和问题集。项目材料的自我维持传播途径包括USF的数值方法网站、主要课程管理提供商的网站中心、数字图书馆和计算系统应用中心。 研究结果在主要的工程教育会议上分享，并发表在工程教育期刊上。这些模块对学生学习、学生满意度和三个不同机构的教学接受度的影响将使用形成性和总结性评估技术进行评估。