Student Laboratories for Application Motivated Calculus

该项目将支持购买计算设备，这些设备将用于为目前正在开发的微积分新程序创建实验室。该项目由仪器和实验室改进计划（ILI）资助，该计划的目标是通过支持开发新的或改进的仪器为基础的本科实验室和/或科学、数学或工程领域课程的项目来提高本科课程的质量。特别是，微积分课程将使用(1)少量的原型问题区域来激励数学概念的介绍，(2)一个基于探索的计算机实验室，以及(3)写作作业。计算机实验室的实验模式将是通过引导探究来发现学习；该实验室将允许学生探索建模现实世界问题的固有问题，并培养对单变量和多变量函数性质的直觉。关于这些实验经验的书面报告将构成本课程写作作业的主要部分。

This project will support the purchase of computing equipment which will be used to create laboratories for a new program in calculus which is currently under development. It is being funded under the Instrumentation and Laboratory Improvement (ILI) Program, which has the goal of improving the quality of the undergraduate curriculum by supporting projects to develop new or improved instrument-based undergraduate laboratory and/or field courses in science, mathematics, or engineering. In particular, the calculus program will use (1) a small number of prototype problem areas to motivate the introduction of mathematical concepts, (2) an exploration-based computer laboratory, and (3) writing assignments. The mode of the computer laboratory experiments will be discovery learning through guided exploration; the laboratory will allow students to explore the questions inherent in modeling real-world problems and to develop intuition for the properties of functions of one and several variables. Written reports on these laboratory experiences will constitute a major portion of the writing assignments in the course.