Lec 15 | MIT 18.03 Differential Equations, Spring 2006

[saef911]

wow so lovely explain

[anakmudajaman]

I Love The Video Introduction to Fourier Series; Basic Formulas for Period 2 It Can Increase My Knowledge

[AntoMelta]

Good, I like that you share this video Basic Formulas for Period 2, I wish success always

[willamricard]

Nice Video Introduction to Fourier Series; Basic Formulas for Period 2 That You Share , So Very Nice Thanks You

[imegatrone]

I Really Like The Video Introduction to Fourier Series; Basic Formulas for Period From Your

[bundawartini]

Your Video Series; Basic Formulas for Period Is Very Useful Sharing

[paskavatta]

Mattuck is superb!

[beastmanrage]

Good stuff, the last example for the square wave fourier should of included a 1/pi in the "b_n" equation

[scttzwdrff]

I love this guy. And the subject matter. 

[pythonbyte]

would have loved to study at MIT

[FaithLovesMath]

I love him. I wish he was my professor. Well, he kind of is, because I guess if I were at MIT, I'd have to do all my interactions with a TA.

[kaishwaryak]

This person is so much similar to Dr. John Nash..

[7ycneil]

@kaishwaryak they were friends

[trese0000]

HAHAHA, its so funny how no one gives a care about the professor trying to start lecture. Everyone see him starting to write stuff on the board but no one still gives a shit LoL :). Everybody still talking and laughing. Funniest thing I ever seen in a classroom @ 0:57.. HAHAHA (Poor Guy) he just wanna stuff some good ol' ODE's in their cramped brains.

[rhysinater]

Mattuck is a boss!

[uraib20]

legend!!

[soundofmusicparis]

Very nice lecture

[pollardrho06]

He's the best!

[guancalvin]

I'd expect the Prof. Mattuck's to stress under what conditions, Fourier series exists given f(t) and explain when term-by-term integration is justified and valid. I don't expect it's proved in the class, but should be mentioned.

[hipstiff]

@guancalvin I'd say covering the complete fourier series theory including different conditions etc would take longer than 1 lecture.

[nemo1620]

I hadn't previously seen Prof. Mattuck's proof of the orthogonality of a set of solutions to an O.D.E. The proof is short, simple, and easily extended to solutions of other O.D.E.s.

[BaffledMath]

@nemo1620 Basically he took from fourier analysis

[Dedboy43]

man ur dumb

[eckz59]

thanks for your opinion, sorry I can't be as smart as you. it was easier to read about fourier series somewhere else (although the rest of these videos are really helpful). hope you feel good about yourself

[mountebank1]

i agree, examples are always needed

[mountebank1]

you have no friends.

[ahpacific]

I don't think you undrestand that the class is almost completely analytical. Using actual values is REALLY only for calculation & perdiction in the experimental sciences(the application of DE's). Before you apply them to real world situations, however, you must understand analytically, what they are & how they are to be solved.

[S201676]

In the actual classes, there is more than just the lectures. This class has 3 lectures and 2 recitations a week; the lectures designed to go over the concepts and all the "abstract" portions of the material, and the recitations are led by a mathematics graduate student and cover the solving of problems.

[DensityOfStates]

Whats with the mini-gong at the beginning?