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Private Notes
Solution to the block collision puzzle from last video.
The third and final part of the block collision sequence.
This rule seems random to many students, but it has a beautiful reason for being true.
How do you study what cannot be solved?
The heat equation, as an introductory PDE.
And to continue my unabashed Strogatz fanboyism, I should also mention that his textbook on nonlinear dynamics and chaos was also a meaningful motivator to do this series, as you'll hopefully see with the topics we build to.
(Sine waves / boundary condition) + linearity + Fourier = Solution
Fourier series, from the heat equation to sines to cycles.
Because why not?
Euler's formula intuition from relating velocities to positions.
The famous (infamous?) Problem 2 on the 2011 IMO
A story of the value in mathematical play.
