Holistic Numerical Methods: Unabridged

计算机科学(31)这个项目正在开发五个教学模块，教授下列数值方法主题：偏微分方程式、最优化、快速傅立叶变换、微分学和科学计算基础。在以前的支持下，创建了六个额外的模块：非线性方程、联立线性方程、内插、回归、积分和常微分方程组。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、土木工程、计算机、通用、电气、工业和机械，以及数学程序：Maple、Mathcad、Mathcad和MatLab。正在设计教学模块以增强学生的教育体验，包括回顾必备的数学背景信息，通过现实生活中的例子演示数值解的必要性和使用，多媒体说明算法，以及解释数值技术的优点、陷阱、错误和收敛标准。正在使用形成性和终结性评估技术对每个机构的学生学习、学生满意度和接受度的影响进行评估，这些评估技术既有定量的，也有定性的。正在使用项目材料的自给自足的传播途径，其中包括Maple、Mathcad、Mathcad和MatLab软件包的应用中心和一本教科书。

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.