What is the correct order for learning algebra, analytical geometry

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BUMP

>>9162455
i read larson-hostelter precalculus but skipped the additional analytical geometry topics (ch10)

then you need to learn limits and hyperbolas, cause some calc textbooks omit them. after that you go into calculus.

i went from knowing 0 math to finishing calc 2 in 2 months flat, it's not that hard. good algebra is basically the most important thing to know

>>9162455
I think it goes

calculus -> real analysis -> complex analysis-> topology -> smooth manifolds -> differential geometry -> complex manifolds and Hodge theory

calculus -> algebra -> commutative algebra -> algebraic geometry (classical) -> algebraic geometry (postmodern)

and then you have the proper prereqs for analytic geometry

>>9162717
Why would one want to learn this shit?

>>9162731
I mostly posted this as a joke. Analytic geometry is a high school topic, but also a (no longer active) research-level field in mathematics. I guess you'd want to learn it because you get exposure to a lot of beautiful theorems and ideas.

>inb4 the inevitable 1) education should be purely vocational 2) how does this help da reel whirruld"
1) Back to /pol/.
2) Stay mad, brainlet.

>>9162743
Not mad, nor a pol faggot. If one excels in mathematics to that degree. How could one use it without being a programmer, scientist, etc. I always wanted to be good at higher level mathematics but what could I do with it besides tutoring? I'm a regular joe.

>>9162756
>what could I do with it besides tutoring?
Not much, honestly. It would give you a good and interesting perspective and sharpen your critical thinking skills. I would look at studying mathematics as being like studying art history, you are studying the work of great minds, and you get to see a lot of beautiful things.

If you're a layman, i'm not sure you need to know math by heart. but you can watch some meme-tier lecture on youtube like the khan academy vids to have a basic grasp if you'd like to

Pls respond

>>9162756
My university offered a masters course called algebraic geometry in coding, so I'm pretty sure there's still a use for abstract math in the real world

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Pls

>>9162455
Algebra first. If you have the time, take analytic geometry first then calculus, however you could (and most people do) learn them independently. Good luck!

>>9164533
Thank you. Is analytical geometry included in pre calculus?

>>9164552
They give some fundamentals of analytic geometry, but not a full course.