Fourier Analysis 14: Fourier Sine Series

Another way of writing the Fourier Series of functions which are integrable on [0, L], is to do a half range expansion, this time with sine terms.

Please check out www.gaussianmath.com for a deeper look into this or other mathematics topics.

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[sacreebluee]

yea, the portion of the graph drawn for x < 0 isn't translated properly although i'm sure anyone this far along sees and ignores this.

[donylee]

Hello sacreebluee,

I was going through my video and you are indeed CORRECT. I somehow overlooked that mistake when I was sketching the graph. The right hand side supposed to be rotated 180 degrees about the origin.

Anyways, for clarification, odd functions have the property f(x)=-f(-x).

Good call!

[invaderjmgjerwin]

nice dedication!!

[fxeliminate]

why do you multiply by sin(n*pi*x) at the end of the sine series?

[nehaDJ]

thnx for the help!!! it really makes thing easy.thnx u

[walkingalonee]

dude...u r superb! make some videos for Laplace transformation & partial differential equation. God bless u

[twica2]

Thanks alot! I just started taking Partial Differential Equations and i am so lost in class. Although you speak fast, your explanation is superb! I will have to spend this semester watching your videos, hopeful you cover all the PDE materials in your videos :-)

[mifkmp]

Hey Dony thanx a lot for the great job you are oing , i simply learnt the whole thing ab fourier series so far from you videos and lessons. keep up the good work man ...grazie mille

[MrUtubeable]

this is why youtube is the best invention after internet :)

[jahdallah]

The area under the graph would be the same if the function was -f(x), but it wasn't -f(x), it was -f(-x).

[4txx]

haha yes we're watching even from ex yugoslavia

great vid

[bebechrissy]

i'm a girl donylee.....