What does it take to learn linear algebra and differential equations? Do you need all the comon core: algebra...

Brackets wouldn't be necessary if people weren't retarded, and if common core didn't say they are "both right".
Multiplication and devision have equal precedence, meaning that, when left with only multiplication and devision, you do them from left to right. 16 is the correct answer, and it is the ONLY answer.

So....Americans don't want to be called racist so they dumb down all the subjects in school so the old wrong answers are now the new right ones? Not even Sweden does this.

you need to know equations

> if common core didn't say they are "both right".
image is shopped.

My country, South Africa, is dropping the Mathematics pass rate to 20%, if they havnt already. Its not so much that the students are stupid and lack the interest or motivation to atleast get a pity pass. Its that my government thinks its a good idea. Especially when we have maths literacy

>answer is 16
But the brackets user
20/5(2*2)
20/5(4)
Left to right as you said
4(4)=16 oops my bad
Why are they saying both are right?

>Do you need all the comon core: algebra, trigonometry, analytic geometry and calculus?
No.
That isn't nearly enough.

yes it is

Differential equations without linear algebra and atleast some advanced calculus is not possible.

op mentioned calculus and linear algebra, and anyway you often learn what linear algebra you need in an ODE course anyway

What?
In college, we took Differential Equations before Linear Algebra just fine.

linear algebra is easy. it doesn't even take calculus.

differential equations require a lot of calculus.

calculus takes algebra, trig, (and i think analytic geometry falls under trig category)

ya.

differential requires minimal linear algebra if any at all (iirc), certainly not a whole course in linear algebra.

Not true. We took differential equations parallel with linear algebra, and the physics students took differential equations without linear algebra. The book we used has a whole section dedicated to the little linear algebra you needed (this is a matrix, this is how you find eigenvalues) for differential equations.

You are both ridiculous. Even our second semester courses which involved DEs needed ATLEAST solving systems of linear equations, determinants and the exponential function of matrices.

Additionally to gain any meaningful insights something like functional analysis and the topology of function spaces are required, but that is obviously not a first year course.

>has a whole section dedicated to the little linear algebra you needed (this is a matrix, this is how you find eigenvalues) for differential equations.
Yes. This is exactly what I said. You need linear algebra for DEs.

Okay, fair enough. You don't need to take a linear algebra course, though.

matrices used in differential equations don't really get that big. 2x2 rarely 3x3. iirc

but its been a while admittedly

All thlse except the exponetial matrix isn't really college level linear algebra. Hell, I saw that shit in HS and it's more of a general algebra course. In analytical geometry I saw the operational aspects of diagonalization which is really easy and can be covered in a day if you only care about the practical stuff. Though I have taken two linear algebra courses covering in great detail all of the aspects of a college level course and I didn't really see the exponetial matrix which I think "needs" analyisis. And yea we are talking about baby's first ODEs.

Went through the book (DiPrima/Boyce), and this is the linear algebra they presented:

>matrices and operations on them, including invertible matrices, transposing one etc
>gaussian elimination
>matrix/vector equation, linear independence (for the Wronskian, perhaps?), eigenvalues, eigenvectors

Covered in about 15 pages. The book presents it as review, though.

because there are practically no real world applications of 3rd order differential equations

or something along those lines....

>All thlse except the exponetial matrix isn't really college level linear algebra.
So what?
You still need it for DEs.
Whether or not it is part of your highschool education is irrelevant (although I doubt you covered it rigoursly there), you still need to know it and that was all I was arguing.

I can't even remember what book.

Its been so long.

I think the eigen vector stuff went into derivations in pdes but you don't need to know that to solve problems.

even the most complicated problems in fluids/quantum never had that many variables even.

its would be easy to go crazy with linear algebra

But I doubt you weren't exposed to the operational methods before your linear algebra course. As I said, many unis have some sort of "general algebra" which presents most of what you say.

You don't even need calc2 for linear algebra desu. Fuck Calc2. You can do linear algebra or Calc3 right after Calc1

but ya I learned all that too.

It did not come up much in odes/pdes is all I remember

certainly not the way makes it seem

But I never argued whether or not you need to take a specific linear algebra course.
I just argued that you need some linear algebra to take a course about DEs.

After the 2's multiply to 4's, you are still left with the parentheses around the 4, which you multiply with the 5 (PEMDAS its literally the first fucking letter)
Agree with BracketAnon, about brackets and that people/common core are fucking retarded.

here again

The only thing we really needed (this was a year and a half ago) from the section was how to find eigenvalues/eigenvectors so we could find solutions of 2nd order systems and sketch their phase portraits. We might have needed to know a thing or two about linear independence for the Wronskian? Think we just used Abel's formula for that, though. So, with that in mind, at least for the course I took, all you needed to do was a) find eigenvalues of matrix, b) find eigenvectors, done. No more linear algebra needed. More emphasis was put on the wave/heat equations, desu.

I'm trying to figure out how "the old way" is supposed to work here. I mean it doesn't even matter what order you do the operations in this case. How the fuck would you not get 16?

sounds familiar for pdes

Legendre polynomials for solutions those in spherical coordinates too

(I think)

lol

Its a tongue in cheek way of undermining our ancestors. We do it all the time by saying oh shame so primitive, oh shame they didn't know better. Atleast we're smarter now right, so very smart. Its Hubris

>the slide literally says "both answers are equally correct"

And what do you think when you find out its not?

Would it be feasible to take diff eq, linear algebra, and calc 3 all at the same time? (Pls say yes im going to have to next spring so i can finally transfer to uni)

>You can Calc3 right after Calc1

but who was integrals

if you can handle all fo the work it should be fine

sometimes calc 1 includes integrals and in calc 2 you just talk abotu taylor series and some other stuff. but that stuff is important and shouldn't be missed

>not learning integration in calc 1