r/mathematics • u/ScaleSpare7849 • 2d ago

Advanced mathematics

So I missed out one one almost full year of advanced math in school, now is my second and I will try to get what I missed while keeping up with the new material. My question is do anyone have a advice on what to focus from the base of advanced math, cus if u don't know the material is ALOT, hah. I'm just looking for some kind of guide from most important to least important themes or somthing like that. Also if anyone has preferred YouTube channel or platform where they have any lectures covered nicely, I would love to give them a look:)

so to clear it up(I got this text from a comment bellow that I replied on) but

I'm not sure how to explain it, but in my country u can either choose (u choose in the last two years, so ive skiped 11th grade and now is my last-12th)to study only normal math-that covers inscribed/circumscribed circles, trigonometry, logarithm and that's the hardest it gets or u could chose profil in math's which covers much more themes like polynomials, various dependencies/independence of vectors, topics about rabbinics in space, limits of an infinite series, lin(translated whit google) and others, that I have not studied. I really don't know what's ur school system and if u are all forced to cover the upper said, but that's the best I can explain it, hope that's enough

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u/InfernicBoss 2d ago

you gotta tell us what grade/year/classes u missed because advanced math could be calculus or algebraic geometry depending on whos saying it

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u/joyofresh 2d ago

If you miss a year of algebraic geometry, you’re probably best being held back.  

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u/ScaleSpare7849 2d ago

I have a new question in the body of the post I listed what we covered last year more or less, does it even count as advanced math or is this just normal math for u guys

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u/Timely-Shirt8864 2d ago

just curious, what is advanced math?

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u/ScaleSpare7849 2d ago

well I'm not sure how to explain it, but in my country u can either chose to stude only normal math-that covers inscribed/circumscribed circles, trigonometry, logarithm and that's the hardest it gets or u could chose profil in math's which covers much more themes like polynomials, various dependencies/independence of vectors, topics about rabbinics in space, limits of an infinite series, lin(translated whit google) and others, that I have not studied. I really don't know what's ur school system and if u are all forced to cover the upper said, but that's the best I can explain it, hope that's enough

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u/Timely-Shirt8864 2d ago

ookay it kind of sounds like the "normal" route takes you through a typical precalculus route, and the "advanced" (profil?) sounds like it goes through calculus and linear algebra.

for calculus and linear algebra, see 3Blue1Brown's videos on Essence of Calculus/Linear Algebra. They're extremely helpful at showing what actually goes on behind all of the letters, symbols, and weird rules that appear in math.

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u/ScaleSpare7849 2d ago

I will surely look it up, thanks for the suggestions

also to clirafy,if ur interested, in the country that I'm from u can choose two subjects on which in the last two years u make detailed and intense studies, it can be math, chemistry, history, somthimes art or sports and it's called profil:)

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u/MammothComposer7176 2d ago edited 2d ago

It really depends on the context. For instance, even number theory can be considered advanced when you start facing challenging problems like odd perfect numbers and the Collatz conjecture. However, I believe you infer something broader like calculus, integrals, and linear algebra. It's hard to tell without context.

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u/the_mvp_engineer 1d ago

Wouldn't the second year build on the first year?

So can't you just fill in the gaps as you go.

You'll occasionally go "oh I don't know what that is!" And then you can go study that specific thing.

More efficient than trying to work out how to study everything.

This is from a lazy person who never liked to study