The kind of math taught in this this class generally covers the same topics as Calculus I-III, Linear Algebra, and Analysis. But it starts completely from the beginning, from first principles. So you have to start with number theory, set theory, and other fundamentals and build up to things like derivatives, the fundamental theorem of calculus, the various theorems of linear algebra, etc, proving everything with complete rigor. You really get super solid understanding of all the intricate, abstract details that are glossed over in math classes designed for science and engineering majors.
And like I said, for most people, even most people in highly qunatiative fields, that kind of stuff is useless. It's only useful for people who want to spend their lives proving thoerems.
You really get super solid understanding of all the intricate, abstract details that are glossed over in math classes designed for science and engineering majors. That sounds like it would have been for me. I passed Calc, but I never have understood why it works or what it is synthesizing. For me to use it, I need to know what it's doing.