Differential equations (2019)
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1. Overview of differential equations
How do you study what cannot be solved?
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0min
March 31, 2019
2. But what is a partial differential equation?
The heat equation, as an introductory PDE.
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0min
April 21, 2019
3. Solving the heat equation
Boundary conditions, and setup for how Fourier series are useful.
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0min
June 16, 2019
4. But what is a Fourier series?
Fourier series, from the heat equation to sines to cycles.
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0min
June 30, 2019
5. Understanding e to the i pi in 3.14 minutes
Euler's formula intuition from relating velocities to positions.
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0min
July 7, 2019
6. How (and why) to raise e to the power of a matrix
General exponentials, love, Schrödinger, and more.
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27min
April 1, 2021