/sci/ - Science & Math

[Anonymous No.10506194]

Explain uni level math to me like I'm 5 years old.

[Anonymous No.10506228]

[Anonymous No.10506241]

>>10506228
Excuse me sir, but I prefer the word "homosexual".

[Anonymous No.10506246]

>>10506194
Suppose you're on one side of a line and the only thing that happens to you is that you walk. Also suppose you find yourself at the other side of the line at some later time, then that means you've crossed the line at some point. This is known as the mean value theorem.

[Anonymous No.10506252]

>>10506246
>mean value theorem

[Anonymous No.10506256]

>>10506252
are you trying to pick a fight?

[Anonymous No.10506265]

>>10506246
isn't that called the intermediate value theorem?

[Anonymous No.10506268]

>>10506246
retard

[Anonymous No.10506271]

>>10506265
fuck you're actually right

[Anonymous No.10506283]

>>10506271
so ya didn't mean it huh

[Anonymous No.10506289]

>>10506283
i-i just call every result which looks like that as the mean value theorem

[Anonymous No.10506301]

>>10506194
>Explain uni level math to me like I'm 5 years old.

"Read this book until you understand it, or there'll be no dinner, no TV and no birthday present for you. You little shit."

[Anonymous No.10506408]

>>10506246
I hope this is bait. You made me laugh regardless

[Anonymous No.10506416]

>>10506194
The McLaurin series is basically saying "We don't really know how this works, but we can create something which works very similarly".

[Anonymous No.10506421]

>>10506194
Calculus is just 95% algebra and 5% calculus

[Anonymous No.10506425]

it's magic

[Anonymous No.10506429]

>>10506416
maybe for a physicist, terminating the series after two terms

[Anonymous No.10506456]

>>10506289
you're a mean person

[Anonymous No.10506485]

>>10506421
I wish there was more actual algebra in calculus tho

[Anonymous No.10506486]

>>10506421
Calculus is not math.

[Anonymous No.10506488]

>>10506194
algebra isn't algebra

[Anonymous No.10506498]

>>10506416
>absolute state of murican education

[Anonymous No.10506938]

>>10506416
...no?

[Anonymous No.10506944]

>>10506194
Let's think about a simple example, the circle. I can break up the circle into two slightly overlapping pieces, such that if I glue them back together (with the overlap) I get back the circle. We call this a "union" of the two pieces (line segments).

Now let's think about that little bit of overlap: they overlap at the ends of each pieces, so there are two disconnected bits if we only think about those overlaps. We call that the "intersection".

Now, recall that the kth de Rham cohomology of a manifold M is the kernel of the exterior derivative on the k-forms on M mod the image of (k-1)-forms. There is a short exact sequence from the 0 vector space into the kth de Rham cohomology of the circle, into the (outer) direct sum of the kth de Rham cohomologies of each piece of the circle, into the kth de Rham cohomology of their intersections, and then back into 0. We can see this existence intuitively by thinking about cutting apart and the patching back together these particular pieces of a circle: there should be a map that lets us preserve properties on each of those pieces.

The Mayer-Vietoris sequence, then, is the existence of connecting maps that connect each kth short exact sequence of this form with the (k+1)th short exact sequence of the same form. That is, as we move up cohomology degree (in de Rham theory, that is the degree of the exterior forms that describe the geometry of the manifold), we have a cochain of maps which such that we can relate each kth cohomology with the next, and thus compute them all efficiently via this cutting and patching method.

[Anonymous No.10506949]

>>10506944
Very simple indeed.
>Mfw reading this

[Anonymous No.10506956]

College level math is mindlessly cramming all the derivative and anti-derivative rules for the entire year and then applying it to optimization problems.

[Anonymous No.10506966]

>>10506421
If [100%] calculus is (just) 95% algebra and 5% calculus, then:

(100% - 5%) calculus = 95% algebra
95% calculus = 95% algebra
calculus = algebra

So you're basically saying calculus is just algebra?

Well, you're not wrong... Calculus is basically just a glorified set of basic rules for solving differential and integral equations, so basically algebra.

[Anonymous No.10506979]

>>10506416
Yikes.

[Anonymous No.10506990]

>>10506429
>>10506498
>>10506938
>>10506979
Then give a better explanaiton

https://en.wikipedia.org/wiki/Taylor_series

[Anonymous No.10506997]

>>10506966
Cringe.

[Anonymous No.10507004]

>>10506966
>So you're basically saying calculus is just algebra?
Algebra has the fundamental theorem of algebra in it but not the fundamental theorem of calculus.

[Anonymous No.10507023]

>>10506997
>Cringe.
Cringe.

[Anonymous No.10507066]

>>10507023
>>Cringe.
>Cringe.
Cringe.

[Anonymous No.10507068]

>>10506194
>like I'm 5 years old
All the math you'll be taught over the next 13 years can be condensed into a singular theorem.

[Anonymous No.10507137]

>>10507066
>>>Cringe.
>>Cringe.
>Cringe.
Cringe.

[Anonymous No.10507154]

>>10506246
>calculus
>uni level

[Anonymous No.10507157]

>>10506997
>>10507023
>>10507066
>>10507137
>Reddit comment strings
Upvoted and followed :D

[Anonymous No.10507168]

>>10506194
everything in math is just tricks, shortcuts, secret codes, to finding an answer, using a system of reasoning/logic and numbers.

Its just a brain teaser, and if you can't solve the brain teaser, well I guess you really suck.

[Anonymous No.10507190]

>>10506956
You study liberal arts or woman studies probably

[Anonymous No.10507259]

>>10507157
>everything I don't like is reddit
Nice to see kids still follow all the latest meme trends on 4channel.

[Anonymous No.10507458]

>>10506966
>If [100%] calculus is (just) 95% algebra and 5% calculus, then:

>(100% - 5%) calculus = 95% algebra

No you fucking nigger. It s

>(100% - 5%) calculus = 100% algebra

Now go make yourself a milk shake with bleach and ammonia, you ll get the IQ you lack to participate in this board

[Anonymous No.10507475]

>>10507168
>to finding an answer
answer to what?

[Instant Creation No.10507962]

>>10506194
Doing weird math to let you make spots in the equation which you can put numbers you know into to find number(s) you don't know. Most of the time its weird and no normal person will ever need it.

[Anonymous No.10507985]

>>10506416
>>10506990
You realize that you can use McLaurin series to actually prove things about functions, right?

[Anonymous No.10507988]

>>10507004
>fundamental theorem of algebra
>being a theorem of algebra

[Anonymous No.10507996]

Don't know how it's done in other unis, but basically the first year of uni-level maths is all you need for any science undergrad (working through linear algebra and vector calculus, discrete math, set theory) then the next 2 years involved the rug getting swept out from beneath you to redo the whole of the material in accordance with standards of "mathematical rigor" (which will vary wildly depending on your professor) and then 4th year you take really interesting classes and kill yourself because you didn't get into a decent grad school with any sort of scholarship and a BsC in maths is totally useless and you'll never get to unlock the secrets of the universe

[Anonymous No.10509444]

>>10507137
>>>>Cringe.
>>>Cringe.
>>Cringe.
>Cringe.

<3

[Anonymous No.10509458]

>>10507985
Yeah I'm aware that McLaurin series is a way of proving e or something like that. Newton did it, I think. But that doesn't change the fact that stuff isn't the mclauring series, the mclaurin series is just an approximation approaching infinity so you _say_ that it is the same thing.

An atom is not identical to another atom. But they're so similar that it's more convenient to simply say they are.

[Anonymous No.10509477]

>>10507988
>theorem that states that the complex numbers are algebraically closed is not a theorem of algebra

[Anonymous No.10509481]

>>10509458
No wait that was euler who did, ofc.