Wright State University Lake Campus/2020-1/Intro to imaginary numbers

Students have trouble appreciating the square root of minus 1, or

For this introduction, all you need is the following ideas:

Derivative of a polyomial

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Newton's law for an ideal spring

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The first step in understanding the solution to this is to imagine that k=m=1:

 

What function of time is the negative of it's own derivative?

The following infinite series famously equals it's own second derivative:

 

See