Why single variable analysis is easier

Jadagul writes: Got a draft of the course schedule for next year. Looks like I might get to teach real analysis. I probably need someone to talk me out of trying to do everything in R^n. A subsequent update indicates that the more standard alternative is teaching one variable analysis. This is my second go around teaching rigorous multivariable analysis — key points are the multivariate chain rule, the inverse and implicit function theorems, Fubini’s theorem, the multivariate change of...