Fourier Analysis 2: Fourier Series of a 'broken' function

[nay1978miles]

This bloke thinks faster than he speaks...

[bur7ama1989]

After long hours of staring at the horrible examples from my Signals and Systems text book and reviewing class notes, I watched your video. It took me half an hour (including viewing time) to gain what I needed to know about Fourier Analysis. Your just as fast as my professor, but I can't rewind my professor. Thanks, keep it up.

[wrinklywitwicky]

this function is an even function right?

[mosaren]

i like your style, thank you :)

[sanetejas]

He is speaking fast but teaching slow........

[jstone98]

I love this guy! Great explainor.

[ronalddlelariarte]

at 5:58 to 6:01 he was speaking Chinese..

[sanetejas]

@ronalddlelariarte No he spoke in English. He said we are moving here using identity.

[Formslip]

at first i was like o wow hold on lightning speed i dont even...

then i watched it. you sir, are the leading teacher of the Fourier series on the interwebs, no lie.

i thank you. my knowledge has gone from "0" to "at least a little bit."

[kelantangirl]

great! i like it..

[translation314]

you need a bigger board

[bitrex]

And this is why square waves only have odd-order harmonics!

[bankabanga]

very nicely explained...

[AcousticSpade]

good pace, i only need to recap my knowledge on this stuff before exams...the less waffle the better

[alextuesday]

Good explanation indeed.. ive seen a few comments saying slow down but i think your speed is good as it allows us to recap the lecture without wasting time.. those who dont grasp every word, just rewind?

[FurlowFurlow]

@alextuesday Yeah, but its to fast. If he dragged this out to 15 minuets it would only waste an extra 5 mins. Time isn't that scarce, but it would be a whole lot easier to follow.

[zqkun]

Good explanation, and if you could speak slower, it'll be much better.

[mametz]

Excellent explanations, thank you very much sir!

[vkpillay]

Use harr wavelets instead of fourier

[rafastv]

I believe the reason you can do m=n is because all even cases are zero as you have shown. Excelent lesson :)

[bluesrunthegame]

You end by finding the fourier series for odd cases of n but made an error in erasing the even cases of n. The even cases don't collapse, only the part connected to a(sub n) and b(sub n) coefficient; i.e we keep the dc component of 3/2 for even cases of n.

[crocoscar1993]

yeah I noticed it too, Donny has probably forgotten it ^^ not really that important anyway, the result isn't really the point of this lecture imo :P

[Delboy6188]

I would just like to say thatthe textbook iam using to study advance engineering mathematics state in every case that a0=1/pi not 1/2pi . Just wanted to see what others think too.cheers

[2BobSaget3]

That's because the Fourier series is sometimes defined as a_0/2 + Sum... etc., so Donny just defined it in a equivalent but slightly different way. =)

[doomon]

Engineer cannot live without Math, thank you for your lecture :D

[kacin87]

you are good, right. but you speak very fast. more slowly is better

[superdan006]

donny man

you are so helpful and doing a wonderful service for the youtube community...

it needs more people like you

PS. i thought it was really funny when you said do not be alarmed when an = 0 :P

[illusion422]

Whats the point of fourier series, since most series we cannot find the sum?

[donylee]

Well, I'm certainly not an expert in Fourier series, but what I can say is this. Firstly, yes, we cannot explicitly write the sum to infinity. Still, it is substantial progress that we write a function in terms of trigonometry functions. This way, we can analyze otherwise complicating functions by looking at them in the perspective of cosine and sine functions, which them uses the results of frequency, amplitude, differentiate and integration etc.

[donylee]

Second, Fourier series is one of the ways which facilities writing a function FROM a piecewise continuous graph. This idea is important in modeling many phenomena in physics and engineering such as computing and the CAT scan diagnostic technique of modern medicine.

[freakloulou]

nice work!!!but i didnt understand why would i need the graph to find "f" coz i 've already found its expression by determination of the coefficients!!plz help me im confused!

[thefuturebird]

So helpful!

[ioxaos23]

sweet dude, keep it comin'! greetz from AGH/Poland :)

[XxxfanaticxxX]

This is some pretty heavy stuff you're dealing, yet very interesting. Looking forward to getting back into this, it's been awhile since I studied.

[sphawk39]

auesome, great... beautiful...

I am gonna wait partial different equation.

[Aro2220]

i love this guy, he's awesome. i study biochemistry but i'm interested in fourier series now.

[ahmednader122]

thanks realy thanks

[fjyb]

Excellent! from Venezuela