"I have a friend who is interested in learning math. I suggested that he learns mathematical logic."
I do think that most mathematical logic courses presuppose some "mathematical maturity" (or at least the background knowledge you get from a good introductory logic course). So I rather doubt that math logic, properly so called, would be a good way in to "learning math".
If however you do want some suggestions of introductory logic books, some freely available online, look at early sections of the annotated Guide which can be obtained from http://www.logicmatters.net/tyl/ [And for beginners working by themselves, books will always trump online notes, let alone video courses, as they can be more expansive and detailed in a way beginners need. For example, Stephen Simpson online notes on mathematical logic are predictably excellent, but they are surely too terse as for stand-alone learning -- though they no doubt serve hist student brilliantly to back up his lectures, and will serve others very well as snappy revision material. See http://www.personal.psu.edu/t20/notes/logic.pdf ]
I leave it others to suggest other routes into mathematics.