Rational Acoustics



Jens Brewer
March 26th, 2009, 01:59 AM
Since there is no Lounge on these forums, this seemed as good of a place as any.

http://academicearth.org/courses/the-fourier-transform-and-its-applications

What a great age we live in when something like this can be had for free.

Langston Holland
March 26th, 2009, 10:25 AM
Holy Cow Jens - thank you. Watching part 1 of 30 I found they even have the handouts with solutions at https://ccnet.stanford.edu/ee261/?cc=ee261. The lectures are a little under an hour each. Should take about 2 weeks. :)

The prof. asked for us not the send email to him - just his students. This free web class is an experiment for them. One positive aspect of this is that he works hard to speak well unlike the case of school discussions that are web cast as a routine as they do these days at many schools. He polled the class and lots of students are not EE majors, thus the discussion may be reasonably understandable if you have a good math background in other areas. TBA...

sweepableQ
March 29th, 2009, 12:42 PM
Thank you for sharing!

Ben Clarke
March 30th, 2009, 09:56 PM
awesome... perhaps a pre-requisit to a Smaart Course ;)

FILO4PRES
March 31st, 2009, 12:21 AM
I would recommend reading "Who is Fourier, a Mathematical Adventure"

http://www.amazon.com/Who-Fourier-Mathematical-Transnational-College/dp/0964350408

It was written for 10 year old kids in Japan...

Ferrit37
April 6th, 2009, 05:45 PM
Hey Guys,
I couldn't Get the link from lecture #1 to link but if you go here and scroll down: http://see.stanford.edu/see/courseinfo.aspx?coll=84d174c2-d74f-493d-92ae-c3f45c0ee091

There's a zip file of all the course materials, sans video files, or you can get individual bits from the links on the left side.
Great resource.

phasetransitions
April 8th, 2009, 05:25 PM
I watched the first three, this guy is great! So much more lucid than the fellow I had teach this.

And, yes, you are going to need calculus to hack this.

Ferrit37
April 9th, 2009, 12:58 PM
Calculus <sigh>

Hey Phil got any good links for a rusty ferrit??

phasetransitions
April 9th, 2009, 11:34 PM
Calculus <sigh>

Hey Phil got any good links for a rusty ferrit??

I have book called "Calculus Made Easy" for single variable stuff

http://www.amazon.com/Calculus-Made-Easy-Silvanus-Thompson/dp/1409724670/ref=sr_1_1?ie=UTF8&s=books&qid=1239333406&sr=8-1

and a book called "Div Grad Curl" and all that for multivariate stuff:

http://www.amazon.com/Div-Grad-Curl-All-That/dp/0393925161/ref=sr_1_1?ie=UTF8&s=books&qid=1239333513&sr=1-1

Through three lectures you have needed the following:

1. Concept of complex numbers, specifically complex conjugates:
http://en.wikipedia.org/wiki/Complex_conjugate

2. Linear combinations of sine functions with arbitrary phase, developed from the angular addition trigonometric relationship:
http://en.wikipedia.org/wiki/List_of_trigonometric_identities#Linear_combinatio ns

3. The Euler Identity:
http://en.wikipedia.org/wiki/Euler%27s_formula

4. "The integral of the sum is the sum of the integrals"
http://en.wikipedia.org/wiki/Sum_rule_in_integration

5. Integration using Euler's Formula:
http://en.wikipedia.org/wiki/Integration_using_Euler%27s_formula

6. Finally the Fourier series, though I don't think Fourier used the complex exponential form (I don't even know if Euler had cooked it up yet!):
http://en.wikipedia.org/wiki/Fourier_series

Honestly, as long as you vaguely remember and understand the Euler identity, you probably don't need any of the rest above; he walks through it in a very clear way. Those are the links if you need a refresher, though.

Along the way he makes several nice insights to the physical world that I had never thought of or tied together before. I guess it makes sense that Stanford would only want good lecturers up for free on the web...

Ferrit37
April 10th, 2009, 09:12 AM
Hey Phil,
Thanks for the links, got me some cipherin' to do :)

phasetransitions
April 27th, 2009, 04:44 PM
Somebody report back at the end of the class, ok? I had to stop watching after 3 episodes to focus on the thesis....

ragol
July 28th, 2009, 05:47 AM
Seems more than interesting. I've taken one Fourier's method course during my current M.Sc. (eng) studies, but our professor was not a good teacher... :(

Has anyone of you found out any way to download those videos? It would be nice to watch them when travelling by train etc. When I have a network connection, I don't have enough time to watch and concentrate...

Yours,

Olli Rajala