I am wondering if anyone can offer any advice: I currently am an adjunct and teach a bunch of undergrad math classes, like Calc, ODE, etc.
What I want to do is to create a YouTube channel and show people how to do Calc, ODE, and other undergrad math topics. I want this channel to be for personal gain and not affiliated with my university. I would create the channel completely separate from my university, using a personal account only.
My question: is there anything potentially unethical about this? Can I create (public) math content on YouTube that is similar to the content that I am teaching? Any advice is helpful.