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!
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.
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!
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!
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
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!
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"
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.
"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
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.
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.
I have been enjoying watching university lectures here on RUclips. I have noticed something about male science professors: They buy new shirts, unfold them, and put them on without ironing. Anyone else notice this?
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.
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.
So when you try to measure the heights using trigonometric functions and triangle it is assumed you are alignment is on a circle. Or a circular topology. Topology means symmetry. Or three point symmetry. One frequency one wavelength and the other velocity. Topology can be measured by any two. Something like if you have a tall pole you can hit and measure the frequency and velocity to get height. Is energy a measurement of topology. That's why energy exists. You can always measure energy using 3 circles like focus.
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
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.
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.
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.
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...😢
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.
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.
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.
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.
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
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.
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
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
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.
@27:20 Troble is that everytime I make a statement I Feel llike I have to qulify it. well its often true but its not completely true and sometimes its not really true at all. but most of the time it is true that its helpful but not always helpful but most of the time helpful occassionally helpful to classify periodicity.
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!!!
@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 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 RUclips does not allow me to post a URL in a comment so you will have to google the above. Hope this helps.
Shouldn't that be Sin (t+pi/2) = Cos (t) and Cos (t+pi/2) = Sin (t) rather than Sin (t+2pi) = Cos (t) and Cos (t+2pi) = Sin (t) as he wrote it on the board?
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~
i think writing on chalk board encourages students to write the stuff down, while with screens and projectors the material is practically always downloadable elsewhere and makes the students much more passive. I think it's better to encourage writing stuff down on complex subjects (math etc), since you tend to process the information at the same time, but with simple subjects where you don't need to understand as much as remember (eg history) writing it down doesn't serve too much of a purpose
@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.
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.
@Briggie I would disagree, you want a good foundation of why this was developed so a course in differential equations would help a lot. A good background in Laplace Transforms would help a lot.
If all lecturers started with the very basics, students would not run away from maths and physics lectures. This is very basic and very easy to understand. Before I watched this video I knew only the awful symbols that the use.
Osgood is a brilliant instructor! I love his lectures & was so excited several years back to find this lecture series when I discovered fourier transforms in my personal self-study of quantum mechanics! And of course I've always loved the ideas and methods of summations of infinite series since dicovering them as a young student. This area of mathematics is so beauftiful & far-reaching that I can not believe some asshole stated here he used this material "to sleep"; he must be a total cretin😂
Hey how many lectures in this series will be good enough to easily get through Quantum Mechanics I (till Potential Wells/Barriers & Reflection Transmission coefficient) because thats how much I have in my course. I came here because I was stuck when these things started appearing inevitably. Please let me know Thanks! ☺️
Hmmm ... there is a problem with this "spacial periodicity" where time is not involved ... since the term period (from the greek periodos) implies observations through time ...I would better say "spacial repeating pattern" ... however in the example of the circle, time has to be involved ...
+Antony Quigley You need: Math through ODEs, Fourier series at the level of Signal and Systems, and Linear Algebra. I got this information from Stanford's paid version of the online course.
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!
This made me smile. How is your self-propelled continued education going?
You can skip to 17:14.
up you go
+CNVideos thanks man
lol haha
thanks :))
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.
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!
I think this is one of the best teachers I have ever come across
lecture starts from 16 min guys.
:)
burak ayan holy shit, thanks man
burak ayan You are the real MVP¡¡
burak ayan Thanks a lot. The wait would have been awful. LOL
+burak ayan I should have read this comment before, haha
Jazzmin Blues ahaha :D I wish someone wrote that before I experienced :D
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. :)
17:12
Dont waste your time
Ty ;)
Thanks
CHEERS
thanks :)
thanks. jeez put a sock in it
0:00 Syllabus Stuff
17:19 Introduction to Topic
25:39 "Lets get Launched" - Topic Start
Thanks a lot
Thanks man
51:30 lecture punchline
Lmao, I am laughing in the library when I heard let’s get launched after watching this ten minutes
I just bought a Fourier book. I'm going to enjoy working through this course.
I have visited Stanford it's a beautiful campus but the real treasure are the courses!!
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!
These lecture videos are pure gold. Thank you for sharing Stanford.
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!
It was very satisfying to watch that explanation of periodicity and the unit circle and trig functions
By far the best course on fourier theory.
This is the most useless video
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
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!
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"
Thank you
Thanks, this course saved my butt as an EE student. :D
The best course I have ever met!
Respect!!!
his handwriting reminds me of the Davinci Code
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.
"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
"...it's helpful but not always helpful - most of the time helpful, occasionally helpful to ..." :)
@@Hexanitrobenzene yeah and all in one breath :P
This is a great complement to my studies of Fourier series/transforms in a course I'm taking.
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.
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.
I have been enjoying watching university lectures here on RUclips. I have noticed something about male science professors: They buy new shirts, unfold them, and put them on without ironing. Anyone else notice this?
+KnowJesusKnowPeace yay i did but thats just fine ;)
KnowJesusKnowPeace He He LoL true
Why.. WHY did you write this? Now I pay my attention to lecturers shirts all the time...
funny comment haha
some things are more important than ironing shirts ;)
This prof's a machine! Thanks a lot Stanford.
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.
@13:01 "I can do that - but I won't" 🙂... Thanks prof Osgood for the entire series.
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.
sadly, outdated
This is true - learning some of these concepts is difficult enough without also struggling to understand the lecturer's actual words.
Fascinating. Thanks. Just watched it all the way through taking notes.
So when you try to measure the heights using trigonometric functions and triangle it is assumed you are alignment is on a circle. Or a circular topology. Topology means symmetry. Or three point symmetry. One frequency one wavelength and the other velocity. Topology can be measured by any two. Something like if you have a tall pole you can hit and measure the frequency and velocity to get height. Is energy a measurement of topology. That's why energy exists. You can always measure energy using 3 circles like focus.
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
This is a fantastic idea, thank you Stanford.
i like that he speaks before he writes, because i don't understad his writing LOL
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
thanks! Prof Osgood does a great job lecturing. Thanks for sharing!
The most charismatic professor since Richard Feynman :)
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.
DERSE ÖĞRENCİYİ KATMA İŞİ ÇOK GÜZEL..prof style is wonderful:The contributions of students are wonderful.
It’s the fundamental but deep understanding of its concept and beginning.
Thanks a million it is very useful lecture which showed me the benefits of FT to solve the dynamic problems.
he is like Indiana Jones of Mathematics. I just love his lectures...
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.
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.
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...😢
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.
The most basic intuitive video about how very simple rule governs the all things including the most complex phenomena.
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.
In the video in Brief:
- There are periodic phenomenon (in space, in time)
- What's frequency
- explanation why cos(x + 2*pi) = cos(x)
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.
@@hichamsabah31 thanks. I know.
I posted this for other viewers - that's a brief content of the video. So I edited the comment.
I like the subtle jabs you see in science, math, and engineering disciplines about the rigor or lack of rigor in the others…
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.
This is a great informative refresher. Thank you.
Fantastic set of lectures. And lecture notes help a lot
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
Great Lecture! Thanks Prof. Osgood.
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.
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
thanks
Thanks so much
Great lecture, thanks for posting it and put the math into context,in which is useful to be applied.
Lecture starts from 52:01
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
Is there anywhere we could get hold of a PDF of that booklet of lecture notes by chance?
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.
@Nyocurio No it requires higher math, especially Laplace transforms which is pretty vital if you want a good grasp on Fourier transform.
Former engineer, biochemist with experience in x-ray diffraction, now MD
This is a great review. Love it.
I would pick a different symbol for frequency. Otherwise it could be mistaken for velocity .
@27:20 Troble is that everytime I make a statement I Feel llike I have to qulify
it. well its often true but its not completely true and sometimes its
not really true at all. but most of the time it is true that its helpful
but not always helpful but most of the time helpful occassionally helpful
to classify periodicity.
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!!!
@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.
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)?
February 2019. Middle-aged. In Chicago. Basic math. Here just because. Thanks for YT.
Really awesome lectures by an awesome man
wonder how fourier analysis is used in the complex plane, especially with exponential function, parameterised to t (\gamma(t)=re^{it}).
Someone tell me a minute where the Fourier transform is written on the board.
fantastic , love the sense of humour.
Can the information in this course be applied to music and the study of sound?
+Greg Moberg yes of course. standart tuning of notes A=440hz
tank you for this Stanford.
Regards from Iran
The lecture actually starts at 17:15 for those that want to actually here the relevant stuff
Which book should i get to follow along this lecture series?
Search for his book. It is available online
we all are very greateful for your efforts
thankyou
Nothing useful until 47:00 then use settings speed 2 as he is not succinct at all. But info useful at that time slot onwards.
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 RUclips does not allow me to post a URL in a comment so you will have to google the above. Hope this helps.
Shouldn't that be Sin (t+pi/2) = Cos (t) and Cos (t+pi/2) = Sin (t) rather than Sin (t+2pi) = Cos (t) and Cos (t+2pi) = Sin (t) as he wrote it on the board?
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~
i think writing on chalk board encourages students to write the stuff down, while with screens and projectors the material is practically always downloadable elsewhere and makes the students much more passive. I think it's better to encourage writing stuff down on complex subjects (math etc), since you tend to process the information at the same time, but with simple subjects where you don't need to understand as much as remember (eg history) writing it down doesn't serve too much of a purpose
Yes, and I think it can have an added benefit for the lecturer of slowing the lecturer down, ie pacing.
@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.
Lecture starts somewhere after 16min. If you can spare the time, this video is a must watch!
- via YTPak(.com)
20:32 'A good idea is a good idea forever.' - D. Brent
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.
Thank you Stanford
@Briggie I would disagree, you want a good foundation of why this was developed so a course in differential equations would help a lot. A good background in Laplace Transforms would help a lot.
If all lecturers started with the very basics, students would not run away from maths and physics lectures. This is very basic and very easy to understand. Before I watched this video I knew only the awful symbols that the use.
Very informative on basics, very interesting.
Osgood is a brilliant instructor! I love his lectures & was so excited several years back to find this lecture series when I discovered fourier transforms in my personal self-study of quantum mechanics! And of course I've always loved the ideas and methods of summations of infinite series since dicovering them as a young student. This area of mathematics is so beauftiful & far-reaching that I can not believe some asshole stated here he used this material "to sleep"; he must be a total cretin😂
Hey how many lectures in this series will be good enough to easily get through Quantum Mechanics I (till Potential Wells/Barriers & Reflection Transmission coefficient) because thats how much I have in my course.
I came here because I was stuck when these things started appearing inevitably.
Please let me know
Thanks! ☺️
I listen to the Grateful Dead to sleep sometimes, that doesn't mean I think the Grateful Dead sucks or is boring!
Hmmm ... there is a problem with this "spacial periodicity" where time is not involved ... since the term period (from the greek periodos) implies observations through time ...I would better say "spacial repeating pattern" ... however in the example of the circle, time has to be involved ...
I feel little confused on space periodicity.. I feel every shape in space is periodic if we have become to define how to move over that space.
Is this the first year Electronic Engineering course? Like i could pick this lecture up now with no previous experience in the subject?
+Antony Quigley You need: Math through ODEs, Fourier series at the level of Signal and Systems, and Linear Algebra. I got this information from Stanford's paid version of the online course.
The course webpage is no longer available.
Apparently the page has been moved to see.stanford.edu/Course/EE261 You'll find everything there
after 9 words... "Okay, next chalkboard!"
actual lecture about Fourier Series (transition into Fourier transform) begins at 17:13 folks.
@21:18 analysis and function