A Computer-Based Introductory Differential Equations Course

基于计算机的微分方程入门课程

• 批准号: 9450742
• 负责人: Robert Borrelli
• 金额: $ 25.01万
• 依托单位: Harvey Mudd College
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1994
• 资助国家: 美国
• 起止时间: 1994-08-01 至 1997-10-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9450742&HistoricalAwards=false
• 关键词: Computer; Based; Introductory; Differential; Equations

9450742 Borrelli The aim of this project is to design a syllabus, and modules to support that syllabus, which adds computing and mathematical modeling as essential components for the introductory ordinary differential equations (ODE) course. Many modules are be self-contained units whose main focus is a topic involving the construction and analysis of a mathematical model using a computer-based approach. Some modules are designed to shed new light on traditional topics found in introductory ODE courses. The material is being produced and field-tested by a Consortium of seven institutions and is being made available to the authors of the next generation of textbooks on differential equations. The overall administration of this project is at Harvey Mudd College, but the work will be done at all seven Consortium institutions: Cornell University, Harvey Mudd College (CA), Rensselaer Polytechnic Institute, St. Olaf College (MN), Washington State University, Stetson University, and West Valley College (CA). Building on the network and experience accumulated during a previous DUE grant on faculty enhancement, the Consortium is broadening the scope of its newsletter C ODE E to publish information about the new ODE course syllabus and modules before, during and after test-runs. In addition, C ODE E is disseminating information about other ODE projects around the country. A textbook publisher is adding additional support for workshops, computing programming expertise, and evaluation.

小行星9450742 这个项目的目的是设计一个教学大纲，和模块，以支持该教学大纲，其中增加了计算和数学建模的基本组成部分，介绍常微分方程（ODE）课程。许多模块是独立的单元，其主要重点是涉及使用基于计算机的方法构建和分析数学模型的主题。一些模块的设计是为了阐明在介绍性ODE课程中发现的传统主题。由七个机构组成的联合会正在编写和实地测试这一材料，并提供给下一代微分方程教科书的作者。该项目的总体管理工作由哈维穆德学院负责，但工作将在所有七个联盟机构完成：康奈尔大学、哈维穆德学院（CA）、伦斯勒理工学院、圣奥拉夫学院（MN）、华盛顿州立大学、斯泰森大学和西谷学院（CA）。 基于网络和在以前的教师增强DUE赠款期间积累的经验，该联盟正在扩大其通讯C ODE E的范围，在试运行之前，期间和之后发布有关新的ODE课程大纲和模块的信息。 此外，C ODE E正在全国各地传播关于其他ODE项目的信息。一家教科书出版商正在增加对研讨会、计算编程专业知识和评估的额外支持。