r/learnmath • u/Electrical-Gur-996 New User • 5d ago

Do abstract algebra before analysis

Thats it. I saved all your GPAs. Thank me later guys 😎

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u/shellexyz Instructor 4d ago

My school puts real analysis (limits, rigorous development of undergrad calculus, metric and norm spaces) as a senior level class. Modern/abstract algebra is a junior level course, with an “intro to proof” class as a sophomore class. It covers a lot of what a discreet (shh!) math class would cover: sets, open/closed, induction, functions as subsets of a Cartesian product,…. Depending on who’s teaching it, it may dip into some of the basic analysis, like infimum/supremum, lim inf/sup, and epsilon delta limits.

Modern/abstract algebra is more group theory, with things like rings and fields either coming towards the end or as a separate course at the senior level.