Holistic Numerical Methods: Unabridged

整体数值方法：未删节

• 批准号: 0717624
• 负责人: Autar Kaw
• 金额: $ 50.02万
• 依托单位: University of South Florida
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2008
• 资助国家: 美国
• 起止时间: 2008-01-01 至 2012-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0717624&HistoricalAwards=false
• 关键词: Holistic; Numerical; Methods; Unabridged

Computer Science (31)This project is developing five educational modules to teach the following numerical methods topics: Partial Differential Equations, Optimization, Fast Fourier Transforms, Differentiation, and Fundamentals of Scientific Computing. Under prior support six additional modules: Nonlinear Equations, Simultaneous Linear Equations, Interpolation, Regression, Integration, and Ordinary Differential Equations were created. The project is developing online audiovisual content for all eleven modules and customizing each module for the following majors: Chemical, Civil, Computer, General, Electrical, Industrial, and Mechanical, and mathematics programs: Maple, Mathcad, Mathematica, and Matlab. Instructional modules are being designed to enhance the student educational experience by including reviews of the prerequisite mathematical background information, demonstrations of the need for and use of numerical solutions through real-life examples, multimedia illustrating the algorithms, and explanations of the advantages, pitfalls, errors, and convergence criteria for the numerical techniques. The impact of the modules on student learning, student satisfaction, and acceptance at each institution is being evaluated using formative and summative evaluation techniques that are quantitative as well as qualitative. Self-sustaining dissemination avenues for project materials are being used which include the application centers for the software packages Maple, Mathcad, Mathematica, and Matlab and a textbook.

计算机科学 (31) 该项目正在开发五个教育模块来教授以下数值方法主题：偏微分方程、优化、快速傅里叶变换、微分和科学计算基础。 在先前的支持下，创建了六个附加模块：非线性方程、联立线性方程、插值、回归、积分和常微分方程。 该项目正在为所有 11 个模块开发在线视听内容，并为以下专业定制每个模块：化学、土木、计算机、通用、电气、工业和机械，以及数学程序：Maple、Mathcad、Mathematica 和 Matlab。 教学模块的设计旨在增强学生的教育体验，包括对必备数学背景信息的回顾、通过现实生活中的例子演示数值解决方案的必要性和使用、说明算法的多媒体以及对优点、陷阱的解释。误差和数值技术的收敛标准。 正在使用定量和定性的形成性和总结性评估技术来评估这些模块对每个机构的学生学习、学生满意度和接受度的影响。 正在使用项目材料的自我维持传播途径，其中包括软件包 Maple、Mathcad、Mathematica 和 Matlab 的应用中心以及一本教科书。