You can skip to 17:14.

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!

lecture starts from 16 min guys. :)

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!

17:12 Dont waste your time

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

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. :)

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!

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

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

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

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

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

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

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

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

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

This is a great informative refresher. Thank you.

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

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

his handwriting reminds me of the Davinci Code

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

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

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

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

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.

Great Lecture! Thanks Prof. Osgood.

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

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

Fantastic set of lectures. And lecture notes help a lot

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.

By far the best course on fourier theory.

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

The most charismatic professor since Richard Feynman :)

This is a fantastic idea, thank you Stanford.

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

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!

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.

Such a great engaging lecturer

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

Very informative on basics, very interesting.

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"

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

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.

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

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.

fantastic , love the sense of humour.

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.

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.

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.

we all are very greateful for your efforts thankyou

LOL, "got to dress well", looks like a brand new out of the box shirt!

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.

Fluid, great teacher.

Really awesome lectures by an awesome man

Great lecture.

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

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

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

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

Awesome! A great ride..

great idea. good work stanford

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

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

Good Lecture!! I appreciate ..

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

This was very helpful!!!

This is great!

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

Exceptional!

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.

love this professor.

after 9 words... "Okay, next chalkboard!"

very good initiative ,sir.....

@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.

tank you for this Stanford. Regards from Iran

Thank you Stanford

really good lecture

Great lecturer

Unfortunately, I can't find homework papers for this course. I've seen something on CourseHero, but those papers are not structured at all. By the way you can google for notes on the lectures, they are available. Can someone provide with the information about homework papers? Thank you

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

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.

Thank you!

@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.

Where can I download the notebook for the lecture that professor holds in his hand?

It seems like the course page, referenced by the link in the video comment, no longer has the course materials available to download. The are at the "Stanford Engineering Everywhere" site. Seems like KZfaq does not allow me to post a URL in a comment so you will have to google the above. Hope this helps.

@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.

It is good to start with.

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

I'm a student from math. I prefer professors to use chalk and blackboard(or markers and white board). I hate projectors! Prof. Brad's lecture is so great~

Is this the first year Electronic Engineering course? Like i could pick this lecture up now with no previous experience in the subject?

"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

This is fantastic! I just wonder why blackboard and chalk is still used today. Distracting to me. Why not a big screen LCD, point and click, and the pre-typed in material prints out at the rate of handwriting, which might be cool, then you could make these notes available online later, or even before the lecture for review.

actual lecture about Fourier Series (transition into Fourier transform) begins at 17:13 folks.

For anyone interested in the materials for the class (lecture notes, assignments, answers, exams, etc), as of 1/26/21 you can find them here: see.stanford.edu/Course/EE261

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.

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!!!

I love this guy ! x)

48:10 There are other trigonometric function which is also periodic namely tan and cot (period of pie) and sec and cosec (period of 2pie)?

The lecture actually starts at 17:15 for those that want to actually here the relevant stuff