Engineering and Science Modules in First Year Calculus Curriculum

微积分课程正在被一系列独立的工程和科学模块扩展到第一年微积分课程的实验部分。这些模块是专门为挑战学生而设计的，要求他们应用基本原理并对物理系统进行数学描述。这些模块的独特之处在于，它们将由工程和科学教师呈现，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，它提供了一种呈现实际应用的方法，并且能够适应较大的学生与教师比例。与每个模块相关的练习都被设计成要求学生在计算机上使用电子表格进行结果分析。这允许使用真实数据（有噪声），但它也要求学生的技术复杂性最小。所提出的方法是专门为适应较大的学生与教师比例而设计的。虽然许多课程都是为了向学生介绍应用程序和建模而设计的，但课程中添加的一个重要组成部分是能够用最少的资源有效地实现。每个模块包括对基本物理系统的介绍，并集中于基本原理的应用（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，并且使用最少的资源。

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.