There is one great university that teaches every carpenter – it’s called HandsOn U.
“Do or do not. There is no try.” – Yoda.
But there are subdivisions as well.
You can become a Journeyman Carpenter by taking a test and undergoing a few years of apprenticeship. Beyond that level is the Master Carpenter – more expertise, more detailed test, more years of apprenticeship. You learn everything from how to pick out wood that isn’t naughty (or knotty) to how to bid for a job so that all of your costs and risks are considered.
But the biggest qual is just knowing what you’re doing. And for a good general contractor who might hire you for a gig, it’ll take five minutes of him watching you to figure out that you do or don’t know your shizzel from your shim.