/sci/ - Science & Math

>>10080199
Wouldn't surprise me if cathegory theory swallowed up the rest of mathematics.

>>10080199
>Calculus
>de facto standard

i want this meme to die

sure maybe who cares, calc is one of many mathematical constructs - and it's position within academia reflects its usefulness in many disciplines - the symbology and some details may change, but the general ideas will likely remain a pillar of beginner mathematical understanding

Maybe simple real analysis would be a good replacement?

>>10080199
https://www.amazon.com/Linear-Geometric-Algebra-Alan-Macdonald/dp/1453854932/
https://www.amazon.com/Vector-Geometric-Calculus-Alan-Macdonald/dp/1480132454/

>>10080199
isn't it now? I live in a third world shithole and even here most decent schools teach calculus in the 12th year

>>10080199
Certain basic abstract algebra is part of common core already. And I think easy linear algebra should replace calculus at high schools.

>>10080199
Single variable calculus is already standard in most yuropoor and azn highschools.
>>10080468
Same for this. We learned the basics (Gauß elimination, determinants, trace, eigenvectors, basis) of lingebra in last year of highschool.

>>10080547
Visited my old High School a couple years ago, Pre-AP Algebra 2 teacher said Texas schools are taking linear algebra out of the curriculum

>>10080199
We could currently, but since it has few practical applications compared to calculus, we are happy if someone in high school appreciates calculus. There are the exceptions and those who want to know more on more advanced topics, but they should get tutors or find a professor/good student to talk to.

>>10080618
No surprise, the west is killing itself and has been for a couple decades already. The same cuckening is going on in most yuropoor, the EU aparatchiks can't afford to have intelligent, critically thinking people that see them for what they are.
I took ODEs in highschool (non-mandatory intro, but these classes aren't even being offered now), which disappeared few years ago. Now the highest you can go is said calc and lingebra, the additional math classes were taken out, same for physics, chemistry and biology. "Good" thing they offer "social science" instead of them now...
The quality of STEM students is pathetic, even my year was full of retards and barely 5% got through BSc in the 3 years it's supposed to take. And that's after the curriculum has been infantized. My father used Landau for their 3rd semester intro QM, we used the retard-friendly Griffiths, not even Sakurai. And that was 4th semester. Instead of producing capable undergrads, the unis now shit out barely literate monkeys. If you want to be anything more, you have to ditch classes and study on your own.

>>10080211
This. It's standard because it's, outside of basic algebra, the most far reaching field of mathematics. No one that isn't autistic gives a fuck about lie groups if it's not related to their job.

calc 1 student here.

is calc really only "beginner" level?

what is moderate?

i was under the impression calc 1 was moderate level

>>10082565
depends on your major
if you only have to take multivariate then i guess it's "moderate"

>>10082565
In terms of analytical maths, calculus is literally your first baby step.
You begin with single variable differentiation (typically), then follow with single variable integration. After, you will essentially just generalize these concepts to greater complexity, leaving single variable functions, and introducing multivariable functions, and then generalizing real valued functions to vector valued functions, and so on and so forth for tensors and functionals.

Tangentially related is the study of differential equations, which are equations containing derivatives whose solutions are functions. You first study ordinary differential equations (for single variable functions), then partial differential equations (for multivariable functions).

In tandem with this is a rigorous background and examination of what you're actually doing when you do calculus, which usually starts with real analysis (only concerning real numbers), and has complications for complex numbers, discrete sets, matrices, functions, etc.

And then you stumble upon topology and realize everything is fucking Möbius strip.

>>10082658
>And then you stumble upon topology and realize everything is fucking Möbius strip.
lol it reminded me of this