Uploaded August 2016 | Updated September 2026, 2 weeks ago
In this video, I prove the Sturm-Liouville Theorem and explain the ideas of eigenvalues and eigenfunctions. It's a particularly useful video that's going to be referenced when we begin solving PDEs, so pay attention (particularly to the statement, not so much the proof)!
Questions? Ask me in the comments below!
Prereqs: Basic ODEs, Calculus. Linear Algebra (particularly eigenvalues and eigenvectors) helps because there's one occasion when I reference them. It's not mandatory though.
Lecture Notes: drive.google.com/file/d/0B_urJu4cgDhMZEJnZlR1d3g4eFk/view?usp=sharing&resourcekey=0-t0TEreNg5HlM0Nb-olgV7Q
Patreon Link: patreon.com/user?u=4354534
In this video, I prove the Sturm-Liouville Theorem and explain the ideas of eigenvalues and eigenfunctions. It's a particularly useful video that's going to be referenced when we begin solving PDEs, so pay attention (particularly to the statement, not so much the proof)!
Questions? Ask me in the comments below!
Prereqs: Basic ODEs, Calculus. Linear Algebra (particularly eigenvalues and eigenvectors) helps because there's one occasion when I reference them. It's not mandatory though.
Lecture Notes: drive.google.com/file/d/0B_urJu4cgDhMZEJnZlR1d3g4eFk/view?usp=sharing&resourcekey=0-t0TEreNg5HlM0Nb-olgV7Q
Patreon Link: patreon.com/user?u=4354534
