Multivariable Calculus from Graphical, Numerical, and Symbolic Points of View

从图形、数值和符号的角度来看多变量微积分

• 批准号: 9450765
• 负责人: Arnold Ostebee
• 金额: $ 15.01万
• 依托单位: Saint Olaf 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: 1994-09-01 至 1998-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9450765&HistoricalAwards=false
• 关键词: Multivariable; Calculus; Graphical; Numerical; Symbolic

9450765 Ostebee A curriculum and materials development project focusing on multivariate calculus builds on and extends the work by the PI's on single variable calculus. Faculty at St. Olaf College are writing, field-testing, and disseminating complete course materials, including a textbook, for a rethought multivariable calculus course that emphasizes the development of conceptual understanding and analytical reasoning skills. The course and its supporting materials share a pervasive mathematical theme and a consistent pedagogical strategy: to combine, compare, and move among graphical, numerical, and algebraic viewpoints on calculus. Graphical, numerical, and symbolic computing technology is used to support this emphasis. The materials use technology freely but are not bound to any specific hardware or software platform. The technology requirements are defined generically in terms of functionalities, rather than by brand name. The text assumes that students have access to technology that has at least the capabilities of a CAS. Specific applications to a particular CAS can be found in supplements and lab manuals.

一个以多元微积分为重点的课程和材料开发项目是在PI的单变量微积分工作的基础上建立和扩展的。圣奥拉夫学院的教师正在编写、实地测试和传播完整的课程材料，包括一本教科书，这是一门重新思考的多变量微积分课程，强调概念理解和分析推理技能的发展。本课程及其辅助材料共享一个普遍的数学主题和一致的教学策略：结合，比较，并在微积分的图形，数值和代数观点之间移动。图形、数值和符号计算技术被用来支持这种强调。材料自由使用技术，但不受任何特定硬件或软件平台的约束。技术需求一般是根据功能定义的，而不是根据品牌名称。本文假定学生能够使用至少具有CAS功能的技术。特定CAS的具体应用可以在补充和实验室手册中找到。