4-010-UnderstandingResonance-ModelingScenario

<p>Resonance is one of the most striking and powerful topics in a standard differential equations course, but the standard treatment of resonance is unnecessarily complicated and far too limited. It makes resonance look like the result of algebraic quirks and educated guesses that apply to specific driving forces. In this unit we use only qualitative methods and linearity and we build a much better understanding that can be seen in one picture. This unit is intended for a standard differential equations class and especially one taught with SIMIODE's textbook <em>Differential Equations: A Toolbox for Modeling the World</em> by Kurt Bryan. It is also suitable for a standard first semester Calculus course.</p>