Perhaps the MA here is a bit different from that of other countries.I've found that compared to the book of Rudhin,The textbook here emphasizes less on abstract concepts such as set theory and topology and more on calculus.
Plus,it seems that the two courses are taught during the first 3...
I don't know much about what courses American freshmen take,but here,we don't have any pre-reqs,and I think the intro to proofs was learned in high school classes,as there are such stuffs in the textbook.
I am in my freshman year majoring mathematics,which I chose independently right after the entrance examination.I really admire the well-constructed logic and symbolic system in math,and I hope to have a good graps of it.
During the first year, I take the mathematical analysis and advanced...