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Differential equations
March 31, 2019

Differential equations

An overview of differential equations.

Overview of differential equations

01. Overview of differential equations

How do you study what cannot be solved?

March 31, 2019
But what is a partial differential equation?

02. But what is a partial differential equation?

The heat equation, as an introductory PDE.

April 21, 2019
Solving the heat equation

03. Solving the heat equation

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

June 16, 2019
But what is a Fourier series?

04. But what is a Fourier series?

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

June 30, 2019
Understanding e to the i pi in 3.14 minutes

05. Understanding e to the i pi in 3.14 minutes

Euler's formula intuition from relating velocities to positions.

July 7, 2019
How (and why) to raise e to the power of a matrix

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

General exponentials, love, Schrödinger, and more.

27min
April 1, 2021