/sci/ - Science & Math

[Anonymous No.9683174]

>mfw calc3
what in the fuck am I doing
why are functions suddenly vectors now

[Anonymous No.9684446]

>>9683174
calc 3 was way easier than calc 2

[Anonymous No.9684558]

>>9683174
the function produces the vector
the function produces the vector

[Anonymous No.9685228]

>>9683174
calc 3 was easiest calc pls respond

[Anonymous No.9685268]

>>9685228
>>9684446

the people who say this seriously make me wonder what the fuck your calculus 2 and 3 classes were like. taylor series, divergence tests, integration by parts, trig sub, volume by rotation, those are so easy compared to the clusterfuck of differential geometry, double integrals and changing bounds, doing all these fucking cross products and partial derivatives and sketching three dimensional figures based on slices

[Anonymous No.9685300]

I don't believe orthogonal projections are well-defined

[Anonymous No.9685312]

>>9685268
>clusterfuck of differential geometry, double integrals and changing bounds, doing all these fucking cross products and partial derivatives and sketching three dimensional figures based on slices
Just imagine it in your head and it makes sense. The other stuff you have to memorize.

[Anonymous No.9685316]

>>9685268
Its literally just intuition and spatial reasoning based on what you already learned in calc I and II and trig. You might be a brainlet.

[Anonymous No.9685329]

>>9685300
Why?

[Anonymous No.9685400]

>>9685316
Wrong.
Guess you went to a brainlet uni.

[Anonymous No.9685405]

>>9685400
If you seriously took Calculus 3 at a university instead of high school, your IQ isn't higher than 110.

Neck yourself.

[Anonymous No.9685408]

>>9685268
>differential geometry
You do that in calc 3?

[Anonymous No.9685409]

>>9683174
>he didnt realise it in alg 1
how much of a retard are you pls tell me?
is amerifat education so bad they dont even teach you working with linear maps as functions?

[Anonymous No.9685411]

>>9683174
I actually thought calc3 was harder than calc2 and nobody I know ever seems to agree with me this makes me feel better.

[Anonymous No.9685418]

>>9685408
yes. americans do at least. half the class is vector calculus and applications and the other half is differential geometry

[Anonymous No.9685429]

>>9685405
I seriously don't understand people who brag about taking calculus in high school. You know your tests ask brainlet-tier questions, right? You know your high school teacher curved every exam by 20 points right?

But taking calculus in high school is probably the only remarkable thing you've done in your life and your entire ego is tied to the fact you did babby's first partial derivative slightly earlier than most people.

[Anonymous No.9685446]

>>9685418
since when did your vector calc class cover tensors. do you have any proof of this?

[Anonymous No.9685470]

>>9685329
because i dont understand it

[Anonymous No.9685563]

>>9685429
I took calc 3 at a top 20 uni junior year of high school

[Anonymous No.9685622]

To answer OP's question, the reason is that there are many physical situations that can be described by a vector field, or a function which assigns a vector to every point in space. Examples: Gravitational, electric, and magnetic fields, currents in a river, wind, etc.

[Anonymous No.9685759]

>>9685563
I don't believe you. I accuse you of lying on the internet.

[Anonymous No.9685767]

Why do they teach Stoke's and Green's theorem when most brainlets don't even remember it?

[Anonymous No.9686026]

>>9685767
So that you can appreciate the generalized version when you learn it in differential geometry.

[Anonymous No.9686035]

>>9685767
wtf is the point of the minus in the gradient theorem in that image?

[Anonymous No.9686054]

>>9685767
You arent suppose to teach at brainlet standards

[Anonymous No.9688014]

[math] \displaystyle
\\
1 = (1-p) + p = 1 \cdot (1-p) + 1 \cdot p
~~~~~~ \underset{1}{\underline{|(1-p)|~~~~~~~p~~~~~~~|}} \\
\dfrac{1-p}{p}=\dfrac{p-x}{x} \Leftrightarrow x-px=p^2-px
~~~~~~ \underset{p}{\underline{|(p-x)|~~~~~~~x~~~~~~~|}} \\
\Rightarrow x=p^2 \\\Rightarrow p-x=p-p^2=p(1-p)
\\ \\
p = p \cdot (1-p) + p \cdot p = p(1-p)+ p^2
~~~~~~ \underset{p}{\underline{|p(1-p)|~~~~~~~p^2~~~~~~~|}}

[/math]