Lec 6 | MIT 18.03 Differential Equations, Spring 2006

[dveyarangi]

good way to remember the formulae for cos(t1+t2) and sin(t1+t2) %)

[escudero231289]

Spam in a MIT video about differential equations... that's strange =/.

[waterskippers]

One person didn't hear the music.

[fateplus1]

@waterskippers hilariously creative

[NganaJHone]

I am very happy to see the vidoe Complex Numbers and Complex Exponentials from you, hopefully the others also are happy for You

[Ondelendo]

Steady I Really Like This Video Complex Numbers and Complex Exponentials.

[willamricard]

Nice Video Complex Numbers and Complex Exponentials. That You Share , So Very Nice Thanks You

[imegatrone]

I Really Like The Video From Your Complex Numbers and Complex Exponentials.

[bundawartini]

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[anakmudajaman]

after i watched this video Complex Numbers and Complex Exponentials, my insight is very open because the video is very good to give information 

[ShaniMerriebk658]

cool bin so einsam

[agapitoflores001]

Very well said. I'd be waiting for more videos.

[thebigfootme]

thanks for the lecture!

[h0wud0in2]

is this class for noobs or something? when do mit students do take that course (engineers say). it seems to be going really slow

[tjklemz]

@h0wud0in2 I believe it's a sophomore, fall term class. Also, it's going "slow" because he's going in-depth and it's semester based (instead of quarter based). And you're not getting everything, because MIT students have what's called "recitation" before class (not sure how often) that goes over applications, methods, homework, etc. MIT is more concerned with your thought process than with "here's how to solve this diff eq, let's move on" (at least, from what I've seen).

[MrBigEnchilada]

@h0wud0in2 this isnt necessarily the whole class, as i realized when i saw the berkeley lectures which are very detailed and nice.

[rinwhr]

Oh my god this guy is hilarious lol

[remuscariasonant]

the argument beats the angle :p

[MrAsiansunite]

Complex equaitions of 1 are good start to understand the Group Theory. I didn't understand a bit of Galois' Theory till I picked a high school book where they discussed how Gauss divided a unit circle into 17 parts

[YellowCakeKid]

33:27 just made my day

[YellowCakeKid]

somebody should keep this man supplied with buckets and buckets of pretty-colored sidewalk chalk

[RoboTekno]

11:50 It's funny that I'm listening to light music as he said all that.

[jimmylovesyouall]

21:29 C'est la vie :P

[smoothawperator]

He's an incredible teacher. My prof blows compared to this guy.

[tharinduuuu]

i dont have to sell Euler, he sells himself!!!!!!!!!!!!!! loooooooooooolz

[sikory]

I find these comments so strange: HE MENTIONED THE POWER SERIES!!

[gero1990]

@sikory For Eulers expansion, so you can summon the sines and cosines.

[soom66]

man I did this stuff in grade 8 in singapore!

[giovanni9107]

@soom66 you derivated euler's formula in 8th grade?! yeah sounds perfectly realistic to me

[giovanni9107]

@soom66 wait a second, I assumed he was going to derive it but he didnt... unbelievable... my bad

[thwei64]

@soom66 ur a bloody disgrace to singapore :)

[STEBEL48]

The professor has great lectures.

I am from Poland and I do not know English well. I understand perfectly lesson from the analysis.

I hope that more lectures Mr professor will YOU TUBE

[troponinnutrition]

Yeah, I'm sure he's ignorant to one of the most frequently used derivation in mathematics.....

[jahs389]

The man is a Math Professor for MIT. I am 100% certain that he knows the derivation by Taylor-Series expansion... but the use of complex coordinate system is the basis by which Euler first hypothesized and demonstrated the formula. You are in fact the ignorant one is you simply want to jump to taylor's theorem without a symbolic explanation.

[troponinnutrition]

Who's the geniuses here that can't realize sarcasm?

I suppose I should explain that the use of genius in this comment is meant with a sarcastic tone....

[yoyaya007]

@jahs389 well said. there are many fools on youtube, the guy just learned about taylor and want to manifest his knowledge all over the place. so lame !

[existentialfunk]

Excellent!