A Unified Approach to Pre-Engineering Education.

将设计和实施为期两年的团队授课、协调良好的课程序列，将线性代数、微积分和基于微积分的课程的主题整合到典型的工程前期课程中。这一系列课程将整合微积分、矢量微积分、线性代数、微分方程、物理学入门课程和工程课程(如静力学、动力学、热力学和电路)中通常涵盖的主题。从几何和数学分析到物理原理再到工程应用的过渡将看起来是无缝的。数学、物理和工程方面的共同思想将及时地与相互支持的观点一起提出，并相互促进。计算器和计算机的能力将作为项目的一个组成部分，帮助学生撰写报告和口头陈述，以及可视化物理定律的几何和解析相互关系和相互依赖，以及这些物理定律在解决实际工程问题中的应用。适合商业出版的课程材料是可望的。

A two year, team taught, well coordinated sequence of courses will be designed and implemented that will integrate topics in linear algebra, calculus and calculus based courses in the typical pre-engineering curriculum. The sequence will integrate topics normally covered in calculus, vector calculus, linear algebra, differential equations, introductory physics, and engineering courses such as statics, dynamics, thermodynamics, and circuits. The transitions from the geometry and analysis of mathematics to the principles of physics to the engineering applications will appear seamless. Common ideas in mathematics, physics, and engineering will be presented with mutually supporting viewpoints in a timely and mutually reinforcing way. The capabilities of calculators and computers will be used as an integral part of the project to assist the student in report writing and oral presentations as well as in visualizing the geometric and analytic interrelations and interdependences of the physical laws, and the application of these physical laws in solving practical engineering problems. Course materials suitable for commercial publication are anticipated.