Engineering and Science Modules in First Year Calculus Curriculum

微积分课程正在增加一系列独立的工程和科学模块到第一年微积分课程的实验室部分。这些模块是专门设计来挑战学生，并要求他们应用基本原理和开发物理系统的数学描述。这些模块是独一无二的，因为它们将由工程和科学教师提出，目的是展示微积分是课程的一个重要方面。 所提出的方法的优点是，它提供了一种方法来呈现真实的应用程序，并能够适应大的学生与教师的比例。与每个模块相关联的练习的设计，使学生被要求在计算机上使用电子表格的分析结果。这允许使用真实的数据（带有噪声），但它也需要学生方面的最低限度的技术复杂性。 所提出的方法是专门设计的，以适应大的学生与教师的比例。虽然许多课程的设计是为了向学生介绍应用程序和建模，但课程中任何附加内容的重要组成部分是能够以最少的资源有效地实施。每个模块包括对基本物理系统的介绍，并集中在基本原理的应用（例如，能量或动量守恒）。通过设计，这些模块提供了一种有效的方法来呈现开放式的应用问题，并以最少的资源来完成。

The calculus curriculum is being augmented with a series of self contained engineering and scientific modules into the laboratory sections of the first year calculus course. These modules are specifically designed to challenge students and require them to apply basic principles and develop mathematical descriptions of physical systems. These modules are unique in that they will be presented by engineering and scientific faculty with the purpose of demonstrating how calculus is a vital aspect of the curriculum. The advantage of the proposed approach is that it offers a method to present real applications and be able to accommodate large student to faculty ratios. The exercises associated with each module are designed so that students are required to employ spreadsheets on computers in the resulting analysis. This allows the use of real data (with noise), but it also requires a minimal amount of technological sophistication on the part of the students. The proposed method is specifically designed to accommodate large student to faculty ratios. While many programs have been designed to introduce applications and modeling to students, a vital component of any addition to the curriculum is the ability to be effectively implemented with a minimal amount of resources. Each module consists of an introduction into a basic physical system and concentrates on the application of a basic principle (for example, conservation of energy or momentum). By design, the modules offer an effective method to present open ended, applied problems and do so with a minimal amount of resources.