Course and Materials Development for Second-Year Calculus

第二年微积分课程和材料开发

• 批准号: 9351272
• 负责人: Timothy Murdoch
• 金额: $ 7.78万
• 依托单位: Washington and Lee University
• 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: 1993-06-01 至 1996-11-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9351272&HistoricalAwards=false
• 关键词: Course; Materials; Development; Second; Year

Mathematicians at Washington and Lee are developing an innovative course in tensor calculus as a sequel to an existing course in vector calculus. They are creating computer laboratory and class materials that will support and supplement both the existing vector calculus course as well as its sequel. These subjects involve the study of quantifiable spatial relationships (as in physics) and related quantities plotted in an abstract space (as in economics). Mathematicians have devel- oped these concepts by quantifying their geometric intuition. This project plans to use mathematical computer graphics to cultivate such geometric intuition in students. Students will use computers as tools of investigation of vector calculus concepts and learn to visualize three dimensional shapes.

华盛顿和李的数学家们正在开发一门张量微积分的创新课程，作为现有向量微积分课程的续集。他们正在创建计算机实验室和课堂材料，以支持和补充现有的矢量微积分课程及其续集。这些主题涉及研究可量化的空间关系(如在物理学中)和在抽象空间(如经济学)中绘制的相关数量。数学家通过量化他们的几何直觉发展了这些概念。该项目计划使用数学计算机图形学来培养学生的几何直觉。学生将使用计算机作为研究向量微积分概念的工具，并学习可视化三维形状。