differential equations

Resource Description

This is a set of lecture notes for MATH 251H, Honors Ordinary and Partial Differential Equations. Differential equations (along with Linear Algebra and Complex Analysis) form the basis of all theoretical science and engineering. In a sense, differential equations represent the ultimate fulfillment of the initial work of Newton and Leibniz — a complete mathematical description of continuously changing phenomena. Without differential equations, we may not have walked on the moon, developed cell phone technology, seen black holes or have GPS systems. For whatever reason, differential equations seem to be the only way to coherently understand the universe.