What will be the education standard for math in a century?

Two centuries ago, calculus was typically taken at the end of undergraduate programs at universities. A century ago, it starting being taken earlier in college course plans. Now, high school graduates typically have taken calculus or at least have been exposed to some of the underlying concepts, and I imagine this trend will continue.

In a century, what will be the "normal" starting point for college mathematics? Linear algebra? Real analysis?

Will this trend continue? Will college freshmen eventually be taking what we see as graduate courses?

Linear algebra and graph theory

Linear Algebra or ODEs

...

>10th grade
>topology
>differential geometry
>SR

Of course this is a meme, but let's think about its legitimacy in the future.

I propose we would have to get rid of schools and create virtual reality learning tools in order to even hope accomplishing something like this. We would be expecting far too much for middle school and high school teachers, that school would either cost a fortune, or we find an alternative.

Nice but I would add "Morality and Good Manners" in 1st thru 4th grades, "Ethics and Personal Responsibility" in 6th grade, "Biology" in 7th grade, "The Dangers of Being a Whore or Man-Whore; and the Glory of Wizard-hood" in 8th grade, "Civics, Police, and the Law" in 9th grade, "Medicine, Drugs, and Pathology" in 12th grade, and a class on "Pyramid Schemes, Snake Oil, Social Engineering Awareness, and Other Common Scams" sometime before they graduate.

Did you guys not take linear algebra your first year of college?

people will be superintelligent and have immediate neural access to all knowledge in a century

>"Pyramid Schemes, Snake Oil, Social Engineering Awareness, and Other Common Scams"
>the final lesson of the school system deconstructs the school system
its genius in its retardation

You're in the know:)

Couldn't have put it better myself

linear algebra is a freshman course, wtf

i imagine it will not move much from this.
education will not just force the entirety of the population into completely useless math when most pupils will end up doing a social sciences degree or whatever

pretty much this
i imagine segregation of prospective STEM candidates (or just people with high IQ) will begin earlier to focus them properly and give them appropriate resources
the rest is just taught enough math (algebra, stats, geometry) to increase their chances of being useful members of society and less prone to being duped by stupid shit like multi-level marketing

>8th grade
>c++
It's actually kind of horrifying to think of what would happen with C++ in 100 years, especially without Stroustrup to direct its development.

>programming languages
>in 100 years

user by then we may not have AI but I am quite sure we will have computers with the ability to process natural language and convert that into code - ironically we may reach a point where the coding languages that built such devices are forgotten or unnecessary. I have a buddy who works in software design and according to him they have recently started using a QA system where they type in test cases in near-natural language (i.e. - "When x and y happen, the result should be z") and the computer can run the program, figure out if the result is correct, and if not give some possible parts of the code where the error occurred. probably some proprietary software or something but if that is NOW 100 years from now is going to be bonkers.

wut? I took linear algebra first semester and graph theory second semester

The thing about elementary algebra and calculus is that it can be made accesible easily. The calculus we take today is pretty watered down from the original but it is as useful.

Can you water down real analysis without losing its usefulness? Probably not. We've had analysis and topology for hundreds of years and no one has yet found the brainlet way to teach it.

But maybe I'm wrong, but there is a limit. It may not be analysis but at one point we will not be able to water down math even more, and the population isn't getting that much smarter with the years.

Yeah, Cucumber, Specflow, all that stuff. But it's just some fancy regular expression parsers. We could've done that 20 years ago, but nobody cared for such kinds of tests back then. And you still have to code the actual actions performed by these "natural" statements.

I believe that the mundane process of writing code wouldn't go away for a very long time. Yeah, maybe 100 years is a stretch, but it's still possible.

Humans are steadily "evolving" to be smarter through selective breeding, and so will be able to learn more of mathematics in high school, but I think the quick increase in calculus teaching is more a result of it being easier to teach. As I can't see non-linear differential equations being taught in high school in the near future, I suspect high school will aim to teach a wider basis to prepare for university, perhaps introducing matrices and vector algebra and aiming to provide an intuitive understanding for these and the current curriculum instead of introducing more and more foreign concepts.

Always assembly language.

>tfw not even Veeky Forums high school yet

>We've had analysis and topology for hundreds of years
>hundreds of years
>hundreds

Jesus you're fucking retarded

Topology dates back to Papa Euler like 400 years ago.

If you are too salty to accept that then at least you can't deny it goes back to Papa Riemann 200 years ago.

They're not your dads.

Yes they are.

How do you pronounce Papa Euler's name then?

Pa-pa Oi-rah san