There are several reasons. Importance of Differential Equations. They tell you the underlying rule for the interactions, not the result of them. I am an EE student. Thanks, that is really a new view on ODEs I haven't considered before... Perhaps a good idea to expand BCH to Baker-Campbell-Hausdorff. Forward domain to a specific port and IP while using the forwarded domain in the URL. What is the significance of learning ''cadences" in music composition? Differential equations have a remarkable ability to predict the world around us. One way that I've seen it explained by non-mathematicians (electrochemists, in this case) is with equivalent impedances in the frequency domain. People won't understand what you mean, but then you remind them that acceleration is just the derivative of velocity, which is just the derivative of position. Any videos or demonstrations I can show are a plus. I am a differential geometer, so I need them: to construct diffeomorphisms from vector fields. And then, once we understand ordinary differential equations, we can then start look for ordinary differential equations — like the old adage goes, if you have a hammer, everything looks like a nail. Linear algebra, or perhaps matrix theory, when combined with calculus provides abstractions of ordinary functions which behave in ways similar yet fantastically different than ordinary functions. Baby proofing the space between fridge and wall.

Looking for a function that approximates a parabola.