I'm curious about the need for a teacher. Because I'm learning math by myself and I don't have a teacher. Except for math.stackexchange.com, essentially. How many hours of tutoring/hour of self-study do you recommend? What can tutors help you with that is hard or impossible to learn on your own?
An experienced teacher, in a one-on-one situation, can identify the areas you're struggling with much more quickly than you can, and can guide you on a path out that you might not be able to see.
I've found that sole self-study can make it easy to convince yourself you're more comfortable with some set of material than you are, which can make it hard to see why you're struggling with the next conceptual layer up.
