/sci/ - Science & Math

>>10483431

Hey /sci/ it's been over a year since finishing the calculus sequence (I/II/III) and I'm a little rusty. My major doesn't use calculus that much but it might be useful in the future. Is there an online service I can do calc problems for free?

For reference I used webassign when I took the classes and liked that format

>>9406324
>That's not how the folks at the time thought of it
No shit, but that's why it was able to give moderately accurate results. If they had added an infinite number of the correct epicycles it would have given perfect results.

/brainlet/ here currently taking calc in college
I've just passed taylor series to give you some info on my math level

What's the best way to learn fourier series via online resources? I want to know how to find them, take their nth derivative, and take their nth integral

>>8910637
>Babbys first anal course.

Welcome to the big leagues son.

Anyway hardest course ever was Point set topology. Fuck that course.

>>8822600
>Math doesn't model reality anymore?
It often "models" reality in the sense that you get a syntactic framework that you can use for stuff you encounter in "reality". Both classical geometry as well as quantum electrodynamics is sucha use-case. Just because you personally don't use quantum electrodynamics, doesn't make it not physics.

Whenever you add two positive integers x and y, the result x+y is positive. Formally proving stuff for infinite sums is most likeleven beyond the capability of OP, it's epsilon-delta-shizzle.

It's a way of representing a function as a sum of sine waves. The series doesn't always converge (note the "spikes" on the edges of the square wave in the gif) but it's a pretty good approximation for most applications, even if it doesn't converge.

If every wave is a combination of (potentially infinite) sine waves with different frequencies and amplitudes due to the Fourier series, and every sine wave can be represented by a infinite sequence of polynomials due to the Taylor expansion of sine, does that mean that any piece of audio in WAV form can be represented by an infinite number of terms of a polynomial?
Assuming you can quantize to a spefic bit rate, can this now be a finite series?

My favorite .gif

Alright /sci/ level with me here.

Going off to The Ohio State University next year for freshman year. Orientation is set for me as Chem E. Always loved Chemistry and world definitely love to make a career out of it.

However.

I have also really enjoyed mathematics and have thrived in my AP calc class. That mixed with the news of Fermat's Last being solved makes me want to go into mathematics and just get a degree in it. Is it worth going into a mathematics based field versus Chem E and/or what is the job potential for a mathematician?

>>7759280

Right. Of course the deep punch line in calculus is that finding rates of change and areas under geometric curves turn out to be related.

But how do you intuitively graphically relate the two (if in fact they can be legitimately related? Just because the two numbers here happen to be equal is no confirmation.

I set an exercise: if feasible describe an animation a la pic related to relate the area of a sine function's "sector" to "2".

yes math is about visualisation

I recommend you to Google Image Search every term that interests you and put the image query to animated

there are tons of beautiful animated visualisations of functions, equations and so forth

pic related is what helped me understand the fourier transform which I found this way

good luck OP