Mathematical Applications in the Modern World: A Math Modeling Alternative to Precalculus

现代世界的数学应用：初级微积分的数学建模替代方案

• 批准号: 9150440
• 负责人: Bernard Fusaro
• 金额: $ 18.2万
• 依托单位: Salisbury University
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1991
• 资助国家: 美国
• 起止时间: 1991-07-15 至 1994-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9150440&HistoricalAwards=false
• 关键词: Mathematical; Applications; Modern; World; Math

The project is developing materials for a course in mathematical applications as a modern alternative to existing precalculus and related courses. The course is an introduction to mathematical models at the precalculus level and is a counterpart to the mathematical modeling course offered to upper division mathematics majors. The models developed in the course are primarily based on discrete mathematical topics such as difference equations, systems of linear equations, networks and probability. It involves a considerable degree of computer and/or graphing calculator work to explore the implementation of most of the mathematical models. It also involves a variety of live classroom experiments to investigate the accuracy of the mathematics in predicting the results of actual processes or to help develop mathematical models based on observed experimental data. The course features a series of student investigations to provide a real life dimension and provides students with the motivation and impetus to continue on in mathematically related fields by exposing them to the wide applicability of mathematics.

该项目正在开发数学应用课程的材料，作为现有微积分和相关课程的现代替代品。 该课程是微积分初级数学模型的介绍，是为高年级数学专业提供的数学建模课程的对应课程。 课程中开发的模型主要基于离散数学主题，例如差分方程、线性方程组、网络和概率。 它涉及相当程度的计算机和/或图形计算器工作来探索大多数数学模型的实现。 它还涉及各种现场课堂实验，以研究数学在预测实际过程结果方面的准确性，或帮助根据观察到的实验数据开发数学模型。该课程以一系列学生调查为特色，提供现实生活的维度，并通过让学生接触数学的广泛应用性，为学生提供继续从事数学相关领域的动机和动力。