Lecture 1 | The Fourier Transforms and its Applications

Lecture by Professor Brad Osgood for the Electrical Engineering course, The Fourier Transforms and its Applications (EE 261). Professor Osgood provides an overview of the course, then begins lecturing on Fourier series.
The Fourier transform is a tool for solving physical problems. In this course the emphasis is on relating the theoretical principles to solving practical engineering and science problems.
Complete Playlist for the Course:
kzbin.info_play_list...
EE 261 at Stanford University:
eeclass.stanford.edu/ee261/
Stanford University:
www.stanford.edu
Stanford University Channel on KZbin:
/ stanford

[@burakayan1429]

lecture starts from 16 min guys. :)

[@reichplatz]

burak ayan holy shit, thanks man

[@purific11]

burak ayan You are the real MVP¡¡

[@denisjohnson1591]

burak ayan Thanks a lot. The wait would have been awful. LOL

[@nancyjazmin105]

+burak ayan I should have read this comment before, haha

[@burakayan1429]

Jazzmin Blues ahaha :D I wish someone wrote that before I experienced :D

[@criskity]

You can skip to 17:14.

[@anonymoose3423]

up you go

[@azamquraishi]

+CNVideos thanks man

[@alexandraandrei7738]

lol haha

[@georgegvishiani736]

thanks :))

[@JamesNewton]

Arhg... just spent several minutes skipping through housekeeping while thinking "I should make a comment on this video about where the class actually starts"... got to the beginning... scrolled down... your's is the top comment. So... um... thanks.

[@Raikaska]

This man is a beast. I mean he is really REALLY good. I'm not near putting a foot in Stanford anytime in my life since I live so far away, heck, I'm not even a math or engineering student, but I've been studying from the course reader he wrote for these lessons and, man. Can't be grateful enough for that amazing material. Clear, clever, well presented, important, goes straight to the point, meaningful examples, elegant derivation - he just knows what is important to non math majors and what is interesting. Just today I learned that the distribution of the sum of i.i.d. random variables is the convolution of their pdfs. And now I find out the actual lectures are online? So grateful!

[@Soulful_Pizza]

This made me smile. How is your self-propelled continued education going?

[@kamdemmathurin9564]

this course is perfect! I had already attended a course on Fourier transform but this one is the one that have opened my mind on the subject: great thank you!

[@HamidSafeerChannel]

Thanks for going through everything for those of us who need to hear the whole story, and baring the discomfort of knowing that you may be trying the patience of some of the more knowledgable students present, for the sake of those of us who need it. :)

[@chuffmunky]

well worth the patience required! If only we'd had this fundamental overview at my uni

[@metabog]

Man it's so great that they have the lectures for everyone to download!

[@jfstaggs1]

I found this lecture to be an excellent start of the subject. The introductory presentation of Fourier Transforms and Applications is crucial to understanding more advanced material. As a student to a new subject, we do not need to be overwhelmed, that will most certainly come later (along with much more exciting phenomena.) thumbs up!

[@andyralph9495]

I think this is one of the best teachers I have ever come across

[@RodneyAr]

0:00 Syllabus Stuff 17:19 Introduction to Topic 25:39 "Lets get Launched" - Topic Start

[@minhkhoitranle4276]

Thanks a lot

[@naruttamkumarpaul3170]

Thanks man

[@manfredpseudowengorz]

51:30 lecture punchline

[@olivermechling2337]

thanks! Prof Osgood does a great job lecturing. Thanks for sharing!

[@realpoems]

Fascinating. Thanks. Just watched it all the way through taking notes.

[@GibranKhalil1969]

Great lecture, thanks for posting it and put the math into context,in which is useful to be applied.

[@petrolhead8822]

It was very satisfying to watch that explanation of periodicity and the unit circle and trig functions

[@lyubomirmateev9497]

The best course I have ever met! Respect!!!

[@pourya1398]

These lecture videos are pure gold. Thank you for sharing Stanford.

[@jasonkho985]

17:12 Dont waste your time

[@confuciuscalculus388]

Ty ;)

[@dbuezas]

Thanks

[@Zak.f]

CHEERS

[@LiudvikasTaluntis]

thanks :)

[@Captain_Rhodes]

thanks. jeez put a sock in it

[@greywolf271]

This is a great informative refresher. Thank you.

[@MexterO123]

Thanks, this course saved my butt as an EE student. :D

[@maxdominate2481]

I just bought a Fourier book. I'm going to enjoy working through this course.

[@lakshminarayan6727]

Very nice to note that Stanford University has opened a few Lectures online to the World. Congrats. Dr Osgood is a fantastic Lecturer simplifying the dry / difficult to comprehend Fourier Transforms. Should frequency be defined in cycles per second or cycles per Unit time ( per second / per hour / per day / per year / per Light year ) If Fourier Analysis is applied to PERIODIC WAVES of Typhoons/ Floods / Cyclones / Tornedos striking the southern Coast of USA, Anti Tornado Systems may be designed to TAME TORNADOS

[@90s_revolution]

Godbless the Professor & Stanford for this fourier course. I may be going too far preparing for my amateur radio license, but it sure is an amazing class.

[@gmcenroe]

Thank you Stanford and Prof Osgood for the excellent lectures. I like the chalk board better for math classes, but have to get used to his handwriting. Looking forward to see how many lectures I can get through before the subject goes over my head, lol

[@dhlshovel]

Great Lecture! Thanks Prof. Osgood.

[@noobmartin]

This is a great complement to my studies of Fourier series/transforms in a course I'm taking.

[@ShubhamBhushanCC]

I have visited Stanford it's a beautiful campus but the real treasure are the courses!!

[@feraudyh]

By far the best course on fourier theory.

[@kakaliroy4747]

This is the most useless video

[@dhaliacarter2855]

a great lecture dr brad ;) thank you Stanford university you've helped me here in Kuwait :)

[@hanihaneen7995]

Thanks a million it is very useful lecture which showed me the benefits of FT to solve the dynamic problems.

[@DanPolhamus80]

This is a fantastic idea, thank you Stanford.

[@olegz5261]

Fantastic set of lectures. And lecture notes help a lot

[@jandejongh]

@13:01 "I can do that - but I won't" 🙂... Thanks prof Osgood for the entire series.

[@liftgallon]

This prof's a machine! Thanks a lot Stanford.

[@JonHeckendorf]

I enjoyed the introductory subject presentation of Fourier Transforms and Applications. I found this lecture to be an excellent start of the subject which I studied and applied so many years ago. I shall joyfully continue with the course. It was also refreshing to hear English in the Lecture Hall instead of difficult to understand foreign accents. Just an observable fact and not a racist statement.

[@minasdemetriou5608]

27:19 JUST LISTEN TO IT "Well, it's often true, but it's not completely true, and sometimes it's not really true at all, but most of the time it's true, that it's helpful, but not always helpful, but most of the time helpful, occasionally helpful"

[@marilenaapavlidou]

Thank you

[@TheDavidlloydjones]

Brad, Small note on top of the customary thank you #1: Thank you also for publishing the "playlist" on a separate page. I download stuff in bulk, because I have a lousy Internet connection and don't really have video in real time. Then I end up with a bunch of files with names like "~yp456BD79.tmp" to convert, and I have no idea what goes with which. So your playlist, and your title at the beginning of each lecture make it all doable. Good work: Thank you 2.0. -dlj.

[@quantummath]

his handwriting reminds me of the Davinci Code

[@HomerJay48]

Such a great engaging lecturer

[@billybobthornton8122]

Fluid, great teacher.

[@mikenicolay2483]

Reminds me of a Professor that gave me a "D" on a math test - that had all correct answers - when I asked him WHY he said, "because you used a theorem I didn't teach!" He smiled and said, 'BTW "D's" are not transferable!' I loved academia!

[@muhittinselcukgoksu1327]

DERSE ÖĞRENCİYİ KATMA İŞİ ÇOK GÜZEL..prof style is wonderful:The contributions of students are wonderful.

[@cayezara8110]

It’s the fundamental but deep understanding of its concept and beginning.

[@enisten]

The most charismatic professor since Richard Feynman :)

[@dheerajkrishna2647]

Very informative on basics, very interesting.

[@ghazanfarkhan4986]

we all are very greateful for your efforts thankyou

[@DineshKumar-nm2jh]

Awesome! A great ride..

[@emilthomas1]

fantastic , love the sense of humour.

[@godknowsstanley6513]

this course is really cool... thank to you sir

[@AyoubChouak]

Exceptional!

[@bendedneurons]

Harish. I second your point. When he first mentioned about periodicity in space I was thinking more like, for instance, an apartment pattern repeating itself in the building or a unit cell in a crystal where the apartment and the unit cell are the physical variables but here it seems that he has taken a variable(temp) in equilibrium with space and upon reaching the spatial co-ordinate has found the variable to be the same value.

[@amitray75123]

Great lecture.

[@AbuSayed-er9vs]

The most basic intuitive video about how very simple rule governs the all things including the most complex phenomena.

[@user-ur1hw4ge8p]

Really awesome lectures by an awesome man

[@Ensign_Cthulhu]

This is true - learning some of these concepts is difficult enough without also struggling to understand the lecturer's actual words.

[@carlodenaro]

great idea. good work stanford

[@MetalMilitia5488]

Fourier wanted to solve partial differential equations to obtain analytical functions for the transient temperature distributions in objects. There weren't any good approaches for solving such complicated PDE's in his day, so he assumed that the final function T(t,x,y,z) could be represented as an infinite series of periodic functions (sines and cosines), allowing him to break up the problem into simpler parts that can be solved separately.

[@MetalMilitia5488]

Many of the problems that can be solved using Fourier transforms involve highly symmetric geometries, like modeling transient diffusion of some chemical species through a stagnant fluid between two parallel plates. The initial concentration profile could be some arbitrary asymmetric function, but the geometry of the system leads to eigenvalue problems for the linear operator that have solutions in the form of sines and cosines, which are periodic functions.

[@Zumerjud]

This is great!

[@vedikathapliyal3090]

Good Lecture!! I appreciate ..

[@CyberwizardProductions]

love this professor.

[@manoj464]

This was very helpful!!!

[@rcomid]

tank you for this Stanford. Regards from Iran

[@Docipede]

This is exactly like my university lectures! Apart from the fact that i can eat, drink and smoke during them, and the lecturer knows what they're talking about.

[@pabitrajana5866]

Thank you Stanford

[@waleedtahir2072]

Lecture starts somewhere after 16min. If you can spare the time, this video is a must watch! - via YTPak(.com)

[@twentyflights]

i've had a decent amount of first-rate professors teach sophomore, even freshman, level classes. so goes the university system. i think it's awesome for younger students to learn from such great minds. at my university, one of the foremost minds in M-Theory occasionally teaches the first course in mechanical physics. that said, he also takes the bus to and from Central LA to get to campus :P

[@doug112244]

Excellent Introductory lecture. I'd listen to another lecture tonight but I have to go to bed. To everyone that commented on his poor hand writing, I thought it was quite good for a science, math or engineering professor. His speed is about average and he only writes with one hand at a time. There was one calc professor that I had that wrote with both and a physics professor that swapped hands and even after you figured it out you couldn't tell by his hand writing.

[@sytk3694]

Thank you!

[@tesseraktik]

@DestinyQx Indeed, lecturers that use PP tend to have a hard time responding to students' questions and comments. Furthermore, the time one spends writing one's calculations on the blackboard can be used to explain in detail what it is one is doing (and give students time to take notes), whereas such explanations tend to get zipped past in PP-presentations. Also, seeing one's professor practice what he/she teaches is helpful to many students. I'm sure one can do good PP:s, but it's rare.

[@sumirangeela]

The official site for this course seems to be see.stanford.edu/see/courseInfo.aspx?coll=84d174c2-d74f-493d-92ae-c3f45c0ee091 One can find all the handouts there.

[@BohdanTrotsenko]

sadly, outdated

[@Alejandropallares]

i like that he speaks before he writes, because i don't understad his writing LOL

[@bonbonpony]

Someone should make an edited version with all the moments he scribbles on the blackboard cut out and save us all some time of our lives :q

[@BohdanTrotsenko]

In the video in Brief: - There are periodic phenomenon (in space, in time) - What's frequency - explanation why cos(x + 2*pi) = cos(x)

[@hichamsabah31]

At any given point on the unit circle, radius 1, If you’re moving around a Cirle, whose circumference is 2pi, you’ll end up at your original starting point. Draw a circle and verify for yourself.

[@BohdanTrotsenko]

@@hichamsabah31 thanks. I know. I posted this for other viewers - that's a brief content of the video. So I edited the comment.

[@afshanagul6373]

It is good to start with.

[@Anagramrice]

@Nyocurio No it requires higher math, especially Laplace transforms which is pretty vital if you want a good grasp on Fourier transform.

[@pzorsky]

Former engineer, biochemist with experience in x-ray diffraction, now MD This is a great review. Love it.

[@varshneydevansh]

amazing

[@f.osborn1579]

I like the subtle jabs you see in science, math, and engineering disciplines about the rigor or lack of rigor in the others…

[@schmetterling4477]

If you want to be rigorous about this, then you have to work through one or several textbooks about functional analysis. You will learn a lot of things about mathematics that way and nothing about its applications.

[@yuemingshen2566]

"This subject is so rich that whenever I make a statement I'd have to qualify... well it's often true, but not completely true, and sometimes not true at all, but most fo the time it's true..." I like this professor. And gosh he certainly has got “long breath", and no punctuation in talking long sentences :P

[@Hexanitrobenzene]

"...it's helpful but not always helpful - most of the time helpful, occasionally helpful to ..." :)

[@yuemingshen2566]

@@Hexanitrobenzene yeah and all in one breath :P

[@kandidio464]

really good lecture

[@IvanovInf]

Using a blackboard allows things to progress in a methodical manner. The Prof is prepared, at each point, to take the discussion to the nth degree, but he cannot do that. Joseph's little thing is too rich; the intent of the course is to cover the bases in the modern sense and then go toward modeling. That someone like the Prof spent his time getting a grasp of the subjects is real nice to see. I'm more than 1/2 way through and have enjoyed the ride (as he says) -- also, thanks to Stanford.

[@stw_2024]

hello, what's the book mentioned in the lecture? Anyone knows?

[@LvtLoshi]

Is there anywhere we could get hold of a PDF of that booklet of lecture notes by chance?

[@trulucy]

February 2019. Middle-aged. In Chicago. Basic math. Here just because. Thanks for YT.

[@Athrodios]

Thanks Stanford :)

[@Eudaimonia239]

@acatisfinetoowut Fourier series and transform was my favorite subject in the math curse i did on my engineering university, thou i wont use it as much it was really interesting to see all the different applications it have.

[@alexandredaubricourt5741]

I love this guy ! x)

[@johnle1723]

wonder how fourier analysis is used in the complex plane, especially with exponential function, parameterised to t (\gamma(t)=re^{it}).

[@Briggie]

@MasterThief1324 Yes it is common. I had to take all but like 3 classes that are required to get a math minor. I personally did not because my course schedule was already crowded when I switched majors. Then again it depends on the school as well.

[@Briggie]

@Anagramrice That is true, but I meant to say that integral calculus is the bare minimum to understand this. Calc II courses usually go over fourier series and a little bit of simple differential equations, at least the calc II course I took did.

[@buffplums]

Great lecturer

[@jairotorregrosa]

Best teacher

[@dbss206]

he is like Indiana Jones of Mathematics. I just love his lectures...

[@BohdanTrotsenko]

Thanks for sharing, Stanford, but: You could do a way better influence with little work by: - keeping links up to date - having some outline (or an abstract) of what's spoken during an hour.

[@Anasfrag89]

I hope that one i could change the educational system in my country and improve it to be something like this .

[@KJKP]

I have been enjoying watching university lectures here on KZbin. I have noticed something about male science professors: They buy new shirts, unfold them, and put them on without ironing. Anyone else notice this?

[@kaadshah7737]

+KnowJesusKnowPeace yay i did but thats just fine ;)

[@ahmedsalafap5898]

KnowJesusKnowPeace He He LoL true

[@DmytroMishagli]

Why.. WHY did you write this? Now I pay my attention to lecturers shirts all the time...

[@JujubeO5]

funny comment haha

[@compphysgeek]

some things are more important than ironing shirts ;)

[@XboxTheBeatboxer]

Go to lecture 2 for fourier stuff. all you get from this one is: A) you use a fourier to break down a signal into constituents, fix certain signals, then reassemble B)you have periodicity in time (pendulum motion) & periodicity in space (heat on ring) C)freq=nu, wavelength=lambda,, nu*lambda=velocity, D)Notice reciprocal relationship between nu and lambda. If you are trying to use fourier to analyze something you should look for quantities that are reciprocally related to one another. NEXT!!!

[@ripperduck]

Man, I wish I had this guy for my physics courses. Stanford is extremely expensive but you get some of the best profs in the business. Too bad that you don't get them often enough for undergrad, this is a grad class which is where profs want to teach.

[@pramuanchutham7355]

I took EE261 from Professor Joseph Goodman in 1979, amazing lecturer, teacher and human-being. Only mathematical equations the whole classes and not so verbage as Prof.Osgood. Very different approaches.

[@pramuanchutham7355]

My Advanced Freshmen Physics in 1976 was Melvin Schwartz, who won Nobel Prize in 1988 for his 1966 work on Positrons at Columbia U. Man, he changed many Physics-to-be major with his addition of Relativity to Mechanics and Electricity...😢

[@saugatadas5518]

very good initiative ,sir.....

[@muttleycrew]

He is insanely good.

[@bimboblacky]

Doctor Osgood, that is EXACTLY what part of this videotaping is, competition with the Massachvsettes Institvte of Technology (sic). ;) Yale University also has 7 courses up on OpenCourseWare format AS WELL as of the time of this writing.