Introduction to PDEs | Chapter 1 Differential Equations

In the first video in this series on differential equations, we'll extend the ideas we've developed in our unit on linear algebra: https://www.youtube.com/watch?v=WobpU1a2uYA&list=PLEbdLhb9LymSAZC2bz72V3W1lfwpGSgln We use this to define differential operators and explore what sort of equations you can get from using them. Then, we look at a technique for solving partial differential equations called separation of variables. This has deep roots in linear algebra, especially the spectral theorem. Music "Everything" by Vi Hart https://soundcloud.com/vihartvihart