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My apologies, I should have clarified this: part 2 and 3 cover important math concepts we use in later videos to understand the classical wave equation (part 4-9). Part 2 covers the concept of complex numbers and part 3 covers an introduction to probability theory. Here is the link for video 2: th-cam.com/video/h4wVlEXsuOY/w-d-xo.html, if you cannot find part 3 let me know and I will post the link for it as well.

Thank you so much and I wish you the very best in your research and school

Thanks for the support! I am using "The Principles of Quantum Mechanics" by Paul Dirac, 4th edition. This is a really useful book, and has good comprehensive definitions.

To give people a basic functional understanding of the classical wave equation, I decided to solve it by the method of differential equations (something a lot of people taking introductory QM are familiar with). One could also derive the CWE using Fourier series theorem, by imposing the boundary conditions we set up. I did not take that approach as it would bring two very difficult concepts, and would have confused people even more. Nonetheless, observe that for each t> 0, the function u(x,t) is a function of one variable "x", and that the function vanishes at the imposed boundaries (x=0; x=L). Using this information one could set up the following expansion for u(x,t)=(Sigma- k=0 to infinity )b(t)sin (k*pi*x/L), where the coefficient "b" is understood to have unique values at different k values. Using this, one could derive the CWE equation with Fourier series. Lastly, use the odd periodic expansion (could use even too, but makes the derivation more complex) to get the equation. Hope this helps.

Yes it helps thanks. Your video of CWE using separation of variables was very helpful too. Continue the way you are helping, it is very organized and easy to follow. I just subscribed toy your channel, though I have taken thermo but I will watch your videos on thermo as a review; Great work!

You're welcome! I have more videos coming up so stay tuned :)