Computing in Mathematics Courses After Calculus: A Discovery-Based Approach

小行星9452194 一个网络化的Sun工作站实验室为150多名大二和高年级学生提供10门不同的数学课程的计算机支持。 根据过去的经验，在编写计算机课件微积分和使用PC的微积分，教师在数学系有系统地扩大使用计算机的二年级和上师产品在向量微积分，微分几何，拓扑，复杂的分析，常微分方程，应用数学和数值分析。 该项目建立在部门教师在开发和测试课件，包括一套实验室模块向量微积分，练习和微分几何，应用数学和常微分方程项目，以及微分几何的交互式电子文本以前的工作。本课件采用基于发现的方法，鼓励学生共同努力，制定和测试基于数字，符号和图形的调查主要是与软件包Mathematica。这种方法简化和加强了专业和非专业的学习过程。 购买20个配备Mathematica的Sun Sparc站，可以在实验室环境中全面实施新的课件，从而在主要的高级课程中充分利用计算机。课件将通过NECUSE、AMS、MAA和MER网络传播。 实验模块和课程材料将提交出版的文本和实验手册。

9452194 Damiano A laboratory of networked Sun Workstations provide computer support in ten different mathematics courses servicing majors and non-majors for over 150 sophomore and upper division students. Based upon past experience in writing PC courseware for calculus and using PC's in the calculus, the faculty in the Department of Mathematics are systematically extending the use of the computer to the sophomore and upper division offerings in vector calculus, differential geometry, topology, complex analysis, ordinary differential equations, applied mathematics and numerical analysis. The project builds on previous work of department faculty in developing and testing courseware, including a set of laboratory modules for vector calculus, exercises and projects in differential geometry, applied mathematics, and ordinary differential equations, and an interactive electronic text for differential geometry. This courseware utilizes a discovery-based approach, encouraging students to work together to formulate and test conjectures based on numeric, symbolic and graphic investigations primarily with the software package Mathematica. The approach invigorates and strengthens the learning process for majors and non-majors alike. The purchase of 20 Sun Sparc Stations equipped with Mathematica allow full implemention of new courseware in a laboratory environment which achieves full utilization of the computer in major upper division courses. The courseware will be disseminated through NECUSE, AMS, MAA and MER-Network outlets. Laboratory modules and curriculum material will be submitted for publication in texts and lab manuals.