Differential equations
6 episodes · 2019
An overview of differential equations.
1Overview of differential equations
How do you study what cannot be solved?
2But what is a partial differential equation?
The heat equation, as an introductory PDE.
3Solving the heat equation
Boundary conditions, and setup for how Fourier series are useful.
4But what is a Fourier series?
Fourier series, from the heat equation to sines to cycles.
5Understanding e to the i pi in 3.14 minutes
Euler's formula intuition from relating velocities to positions.
6How (and why) to raise e to the power of a matrixfinale
General exponentials, love, Schrödinger, and more.
