This video playlist covers the topic of: 1. PDE 1 | Introduction 2.PDE 2 | Three fundamental examples 3.PDE 3 | Transport equation: derivation 4.PDE 4 | Transport equation: general solution 5. PDE 5 | Method of characteristics 6. PDE 6 | Transport with decay and nonlinear transport 7.PDE 7 | Wave equation: intuition 8.PDE 8 | Wave equation: derivation 9.PDE 9 | Wave equation: general solution 10.PDE 10 | Wave equation: d'Alembert's formula 11.PDE 11 | Wave equation: d'Alembert examples 12.PDE 12 | Wave equation: characteristics 13.PDE 13 | Wave equation: separation of variables 14.FA 1 | Fourier series introduction 15.FA 2 | Computing Fourier series 16.PDE | Heat equation: intuition 17.PDE | Finite differences: introduction