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Quoting Steven Strogatz, Since Newton, mankind has come to realize that the laws of physics are always expressed in the language of differential equations. Of course, this language is spoken well beyond the boundaries of physics as well, and being able to speak it and read it adds a new color to how you view the world around you. In the next few videos, I want to give a sort of tour of this topic. To aim is to give a big picture view of what this part of math is all about, while at the same time being happy to dig into the details of specific examples as they come along. Ill be assuming you know the basics of calculus, like what derivatives and integrals are, and in later videos well need some basic linear algebra, but not much beyond that. Differential equations arise whenever its easier to describe change than absolute amounts. Its easier to say why population sizes grow or shrink than it is to describe why the have the particular values they do at some point in time; It may b
