Electronic Classroom for Mathematics Instruction

该项目将PowerMac计算机作为主动教学工具纳入微积分I， II和III；多变量微积分;和数值分析I和II，使用Mathematica软件。这些课程利用了Mathematica的图形和编程功能，使学生能够深入了解主题的核心。Mathematica支持“笔记本”的开发；作者可以呈现文本段落、嵌入方程、表格和图形。学生可以阅读文本，操作方程，生成新的图形，并对参数值进行实验。学生可以以更积极和创造性的方式使用这些材料。在微积分课程中，基本概念，如函数和极限，连续性和可微性，以及瞬时变化率，都是通过图形和数值处理来阐明的。当使用Mathematica作为工具时，多元微积分的学生可以很容易地使用三维绘图和旋转来可视化三维问题。在数值分析课程中，现在有可能涉及更多相关的问题，否则这些问题将由于其极端复杂性而无法涵盖。Mathematica可以轻松处理课程中固有的复杂、重复的计算，让学生专注于更困难的概念；因此，学生、工程师和数学家更适合做研究。

This project incorporates PowerMac computers as instruments of active teaching and learning into Calculus I, II, and III; Multivariable Calculus; and Numerical Analysis I and II, using the software Mathematica. These courses take advantage of the graphics and programming capabilities of Mathematica, allowing students to gain insight into the core of the subject matter. Mathematica supports the development of "notebooks;" a writer can present paragraphs of text, embedded equations, tables, and graphs. The student can read the text, manipulate the equations, generate new graphs, and experiment with parameter values. Students can use the material in more active and creative ways. In Calculus courses, fundamental concepts, such as function and limit, continuity and differentiability, and instantaneous rates of change, are greatly illuminated by graphical and numerical treatments. When Mathematica is used as a tool, students of Multivariable Calculus can easily visualize three-dimensional problems using 3D plot and rotation. In the Numerical Analysis course, it is now possible to take on more relevant problems that otherwise would not be covered because of their extreme complexity. Mathematica can easily deal with complex, repetitive computations that are inherent to the course, allowing students to concentrate on more difficult concepts; thus, students, engineers, and mathematicians are better equipped for research.