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.

该项目正在开发教育模块来教授以下数学程序；联立线性方程组；回归；一体化;和常微分方程。这些模块为教师和学生提供基于工程专业（化学、土木、计算机、通用、电气、工业和机械）和计算系统（Maple、Mathcad、Mathematica 和 Matlab）的定制。每个教学模块都增强了教师的准备和发展以及学生的教育经历，方法是：a) 回顾必要的数学背景信息，b) 通过现实生活中的例子展示数值解决方案的必要性和使用，c) 结合文本和交互式自主模拟来说明算法、示例和优点,数值技术的陷阱、错误和融合，d) 将历史信息与数值方法联系起来，以及 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、主要大学的网站中心课程管理提供商、数字图书馆和计算系统应用中心。 结果在主要工程教育会议上分享并在工程教育期刊上发表。将使用形成性和总结性评估技术来评估这些模块对三个不同机构的学生学习、学生满意度和教学接受度的影响。