Episode #103 - Transport Me to the Wave Equation

1

Introduction

00:00 • 2min

2

PDE Courses

01:52 • 3min

3

Is There a Subset of the General PDEs?

04:36 • 2min

4

Partially Differential Equation

06:52 • 2min

5

Partially Differential Equations

08:26 • 3min

6

How to Impose a Condition

11:21 • 3min

7

How to Solve a Partially Differential Equation

14:38 • 4min

8

What Is the Convection Equation Really Defining?

18:15 • 4min

9

The Transport Equation and the Integral Curves

21:46 • 3min

10

Getting the Integral Curves

25:12 • 4min

11

Is Integral Curves Like Contours?

29:41 • 2min

12

How to Solve a Wave Equation?

31:19 • 3min

13

The Power of the Transport Equation

34:04 • 2min

14

The General Transport Equation, It Doesn't Matter What Your Coefficient Is

36:08 • 2min

15

What Is the Source of the Transport Equation?

38:34 • 4min

16

Is Your Light Cone Going From the Past to Now?

42:44 • 3min

17

Is There a Time Derivative for a Wave Equation?

45:20 • 2min

18

Why Do You Need a Time Derivative for a Wave Equation?

46:57 • 2min

19

The Heat Equation Is Another Partial Differential Equation

48:34 • 2min

20

What Is the Schrödinger Equation?

50:07 • 3min

21

The Probability Density Problem

52:47 • 2min

22

Is It a Complex Exponent?

54:22 • 3min

23

Partially Differential Equations - Partitional Spectral Equations

57:12 • 2min