Foundations of Engineering: The Mathematics of Shape and Motion

This is an introductory course for single variable calculus. The material will be presented in a manner that shows how calculus combined with analytic geometry is the language of expression for quantitative ideas in science, technology, engineering, and mathematics itself. We will cover differential and integral calculus, series and sequences, as well as Taylor series to discuss topics such as information and probability, the physics of planetary motion and statistical mechanics, and development of computational algorithms. This course can be used to satisfy BSE freshman year requirements.