Mathematics and its Applications in Engineering and Science:Building the Links

William E. Boyce DUE 9552465 RPI请求$5,420,454特洛伊，NY 12180-3590数学倡议标题：数学及其在工程和科学中的应用：建立联系课程分为许多不同的部门，往往使学生难以掌握数学及其在工程和科学中的应用之间存在的密切联系。为了使这些联系更加清晰，我们建议开发一个超文本文档库，将重要的数学主题与工程和科学各个领域的当代有趣应用联系起来。该图书馆将涵盖工程和科学本科学生通常学习的数学领域，包括微积分，微分方程，力学和线性系统，先进的数学方法，以及概率和统计。最初创建的图书馆将构成不断扩展资源的基础，这将支持伦斯勒和其他地方不断增长的运动，从以讲座为主导的教学模式转向我们所谓的工作坊或工作室模式。这些材料的开发将涉及伦斯勒学院和其他一些机构的教师之间的合作，包括特拉华大学、锡耶纳学院、弗吉尼亚理工学院、中央州立大学、哈德逊山谷社区学院和马里兰大学。通过客座教授的方式，其他几个机构的教师也将随着项目的发展而参与其中。经过仔细的测试和评估，超文本文件库将以万维网、cd和印刷形式提供。伦斯勒和其他直接参与该项目的机构的额外好处之一是，在许多不同的学术部门教授相关课程的教师之间的合作水平大大提高。

William E. Boyce DUE 9552465 RPI Requested $5,420,454 Troy, NY 12180-3590 Math Initiative Title: Mathematics and its Applications in Engineering and Sciences: Building the Links The division of courses into many different departments often makes it difficult for students to grasp the intimate connections that exist between mathematics and its applications in engineering and science. To make these connections clearer we propose to develop a library of hypertext documents that will link important mathematical topics with contemporary interesting applications in various fields of engineering and science. This library will cover the mathematical areas normally studied by undergraduate students in engineering and science, including calculus, differential equations, mechanics and linear systems, advanced mathematical methods, and probability and statistics. The library that is created initially will constitute the basis for a constantly expanding resource that will support a growing movement, at Rensselaer and elsewhere, to move away from a lecture-dominated mode of instruction to what we call a workshop or studio mode. The development of these materials will involve a collaboration among faculty at Rensselaer and at a number of other institutions, including the University of Delaware, Siena College, Virginia Polytechnic Institute, Central State University, Hudson Valley Community College, and the University of Maryland. By means of Visiting Professorships, faculty at several other institutions will also become involved as the project develops. After careful testing and evaluation, the library of hypertext documents will be made available on the World Wide Web, on CDs, and in printed form. Among the added benefits to Rensselaer and the other institutions directly participating in the project is a much enhanced level of cooperation among faculty who teach related courses in many different a cademic departments.