Calculus, Linear Algebra, and ODE's in a Real and Complex World

真实复杂世界中的微积分、线性代数和常微分方程

• 批准号: 9352828
• 负责人: Frank Wattenberg
• 金额: $ 7.99万
• 依托单位: University of Massachusetts Amherst
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1993
• 资助国家: 美国
• 起止时间: 1993-09-01 至 1996-02-29
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9352828&HistoricalAwards=false
• 关键词: Calculus; Linear; Algebra; ODE; Real

9352828 Wattenberg Being continued is the development, dissemination, and assessment of an integrated two-year sequence to replace five courses-- Calculus I, II, and III, Linear Algebra, and Ordinary Differential Equations. The motivating idea driving and project is that these subjects should be taught in the context of real and engaging problems. By studying these subjects in context, students are better able to understand them and to use them outside the mathematics classroom. Pedagogically, the most important feature of this sequence is the participation of students at a higher level than is typical of traditional courses. Emphasized are very substantial and realistic problems that require the application of a combination of mathematical techniques and that are open-ended, often without clean, simple solutions. Computers and writing are essential parts of the approach. Computers make it possible to deal with more realistic applications and facilitate the experimental approach that is emphasized. There is a synergy between writing and meaningful problems that engages on a high intellectual plane requiring them to understand and articulate the mathematics, the applications, and the connections between them.

9352828 Wattenberg 正在继续开发、传播和评估一个为期两年的综合序列，以取代五门课程——微积分 I、II 和 III、线性代数和常微分方程。 想法驱动和项目的激励因素是这些科目应该在真实且引人入胜的问题的背景下进行教授。 通过在上下文中学习这些科目，学生能够更好地理解它们并在数学课堂之外使用它们。 从教学上讲，该序列最重要的特点是学生的参与水平高于传统课程的典型水平。 强调的是非常实质性和现实的问题，需要应用数学技术的组合，并且是开放式的，通常没有干净、简单的解决方案。 计算机和写作是该方法的重要组成部分。 计算机使得处理更现实的应用成为可能，并促进所强调的实验方法。 写作和有意义的问题之间存在着协同作用，这些问题涉及高智力层面，要求他们理解和阐明数学、应用程序以及它们之间的联系。