PrimeFlix

Episode 1

Overview of differential equations

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Synopsis

How do you study what cannot be solved?

Episode 2

But what is a partial differential equation?

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Synopsis

The heat equation, as an introductory PDE.

Episode 3

Solving the heat equation

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Synopsis

Boundary conditions, and setup for how Fourier series are useful.

Episode 4

But what is a Fourier series?

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Synopsis

Fourier series, from the heat equation to sines to cycles.

Episode 5

Understanding e to the i pi in 3.14 minutes

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Synopsis

Euler's formula intuition from relating velocities to positions.

Episode 6

How (and why) to raise e to the power of a matrix

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Synopsis

General exponentials, love, Schrödinger, and more.