Calculus vs linear algebra

isnt linear algebra required to learn calc?

Only really basic shit. Taking the determinant of Hessian etc. That's high school stuff. For calc I-III you don't need any complicated lin alg

For a more complicated function you do need diagonalization and spectral theorem. Though you could just believe it werks and calculate.

linear algebra. calculus is boring desu

>you can only study one
Wrong again, retard.
I can study everything.
youtube.com/watch?v=k1yvvNvlXtg

I've already studied both faggot

that show is so unfunny. i cant believe the guy that made rick and morty made this crap

>LA has too much disgusting notation.

How's freshman year kiddo?

I don't think so. At least here in Germany you take linear algebra and calculus at the same time and linear algebra is usually taught without any topological concepts.

Linear algebra is pretty fundamental to mathematics in general. Vector spaces are __everywhere__. Linear independence. Spanning sets. Eigenvalues and eigenvectors.

One could be a successful mathematician without calculus, but not without linear algebra. A good bit of number theory, abstract algebra, combinatorics, cryptography....all relatively calculus-free.

My vector calculus course *was* linear algebra intensive, but also theory-and-rigor intensive. Maybe not so much if one's just going for computational ability.

is there any field in analysis which doesn't use linear algebra?

You really need both to handle any modern quantitative discipline.

analysis

Measure spaces in general have little structure (just a sigma algebra and a measure). So no linear algebra involved.

Wanna bet?

Calculus is a proper subset of Linear Algebra.

Linear algebra:
> mayke dank-ass gaymes
> know what an eigenvalue is

Cuckulus:
> know how much material you need to make a buttplug on a lathe
> make analog circuits like it's still the 1950s

this

both integration and differentiation are linear operators

That doesn't mean linear algebra tells you how to compute them.

Functional analysis, clearly.

you're literally wrong though, linear algebra is study of linear mapping between vector spaces, so calculus (the thing that tells you how to compute them) is part of the field of linear algebra

No, it's part of the field of banach spaces

Is this a joke right?

Linear Algebra is an actual subfield of mathematics.

Calculus is just a bunch of methods glued together. You can recover all its intents with Analysis, Measure Theory and Differential Geometry.

...

Does there exist a good, modern text on analog circuitry and computing?

"modern text" vs "analog computing"

Pick one.

No, you are wrong.
Linear algebra is only concerned with finite dimensional vector spaces, integration and differentiation of arbitrary function is not a part of linear algebra.
(Integration and differentiation of polynomials on the other hand is)

You are talking about functional analysis. That is both a proper super set of calculus and linear algebra and is concerned with infinite dimensional vector spaces and mappings between them.
Linear algebra is most often the trivial case for functional analysis.

Btw. the reasons that this is the case is that linear algebra between infinite dimensional vector spaces would require real analysis, because eg. not any linear mapping is continuous.

This might be the most embarrassing thread on Veeky Forums right now.

Who's the girl?

Skip the cuckery and just go straight to abstract algebra and learn about linear once you've had a nice taste of modules

Linear algebra.
Because its easier than calculus if we're talking about ugrad courses.
plus computers are capable of solving systems of equations/doing quaternion rotations, might as well go with the easier one unless you are a maths major

>bc deep learning
need a derivative for that activation senpai

Differential equations masterrace

intro linear algebra and intro calculus are most mind numbing courses.

if we are instead talking about a course in abstract linear algebra versus analysis, i would say the Algebra course would help you more. many problems in all the sciences can be reduced to linear algebra. knowing how to do that reduction is very important

what the fuck do you think qmech is? it is literally linear algebra

It is all yours my friend :)

For fuck's sake, it's like asking if you should learn addition or multiplication.

obviously people still make analog circuits

it's a cutting edge field with a very large impact

they just don't make analog computers

>Linear algebra is only concerned with finite dimensional vector spaces
not true

no ass nancy

Linear algebra because a lot of group theory involves it

But you also can't do physics without linear algebra. QM brah

linear algebra because a lot of calculus involves it

your use of 'kiddo' is almost as cringy as the post you quoted.

Does she go by a different alias? Not getting anything on google images

>teleports behind you
>how's freshman year, kiddo

You do realize that if we manage to create analog computers then we literally have solved every signal processing problem ever?

are ODEs still linear? they dont get funky until complex analysis right?

kek

ODE's and PDE's are some of the easiest subjects in math out there.
Source: Completed 5 ODE textbooks and 3 PDE textbooks.

The only shit we know how to solve is linear.

>if we manage to create analog computers then we literally have solved every signal processing problem ever?
Uh, what?
Analogue computers are really old technology. We've had them for ages.
en.wikipedia.org/wiki/Analog_computer