What Are Differential Forms: differential k-forms

Hi everyone! I started a shorts-series about differential forms. This is part 2 so far. I also have a part 1: youtube.com/shorts/J20AI3iE4OM These videos are supposed to be short, concise and most importantly fun, while still being correct! (If you spot a mistake, please let me know) I have so far introduced differential 1-forms in the previous video, and now I defined the exterior algebra which I used to introduce differential k-forms. Next up, I wish to define the exterior differential and hopefully some day I will also get to Maxwell's equations and de Rham cohomology (but this might take a while). All feedback is warmly welcome! (None of the videos are AI generated)