Omg! i can't believe it stopped there! So beautiful and excellent! It's like Dr. Brunton was on a roll, and the clock ran out. I fully imagine from this point, he could go in multiple directions. I had this class under a Syrian professor educated in France, but also spoke English, but the accent was so thick, all we students had difficulty (and we all liked the professor). So wonderful to find this! Thank you, Dr. Brunton!
Hi: thanks for all the videos you post. I am an old, 74, retired electronic engineer from Chile. I love to learn these things, with nice color, graph and very clear teachings. I learn some of them in Chile in black and white blackboards, using sometimes copies of books we had to borrow for limited time at the Library, or use to buy a photocopied material. Thanks, no need to use this, just to have fun learning, and you do a great job teaching. From Surrey, B.C. Canada
5:10 : man, full respect. I'm literally addicted to your lectures. Thank you so much for all the tons of effort you put in those. I'm following this lectures for the mere pleasure I find in re-understanding similar lectures old from college. But thanks to you, I'm understanding it even better. And this topic was one of my favourites during my physics degree. I wish you the best, and thank you again for all this marvelous contents.
You are the only one I would call "a genious". Thank you soooo much for sharing your knowledge. PS: you wrote the most PERFECT book in my entire career as a student.
I have watched all the videos in your PDE, ODE, Complex Analysis, FFT, SVD, and Dynamical Systems series, and I finally got to understand how those courses I studied as an undergraduate connect to each other. Your lectures are super clear, intuitive and inspiring. They do help a lot. Tons of thanks to you! By the way, do you have plans to teach more about the dynamical system, especially the bifurcation and chaos? I'm eager to learn more about them. Thanks again.
Hi Steve. Thanks so much for your lectures. I’m really enjoying them and learning loads. I also had a question. In this solution the magnitude of the height of the rope at a given time and position is the same as that of the forcing function. I believe that in the real world, as the kid waves the rope around, the signal would attenuate as it moved along the rope. Am I correct in thinking that modelling this attenuation would involve a damping term of some description being added to the initial equation? My understanding of damping terms is that they are generally terms related to the first derivative, but I’m unsure as to whether this would be the first derivative wrt time or space in the equation you’ve presented. Do you know which it would be and why? Forgive me if my question is trivial or poorly formulated
Laplace transform! awesome! the squeakiness doesn't bother me.... but for math exercise maybe we can use Laplace transform to filter out the squeakiness? That would be fun!
Hi Steve, I am interested in a high confidence model for a transition from the current economy to a two tier sustenance and cultural economy. Could you point me in the right direction?
At 22:20, your equi-temporals have the wrong slope. This is related to your mistaken Heaviside inversion. The first signals (largest t) have propagated the furthest (largest x). x-ct=constant is the equation of these.
Sir, my question is arbitrary from this topic you are lecturing. Am confused by Maclauren series representation of Sin(x)= (x- x^3/3! +x^5/5! - x^7/7!+...+x^n/n!), let say x=2 then Maclauren of is = 0.9079365079 and sin(2)=0.0348994967 using calculator. My question why is these two answers different, if Maclauren represents sinx??
The argument of the sin function of your calculator may be based on deg , not rad... I think you got the sin of 2 deg, not sin of 2 rad... sin (2 deg) = 0.0348994967 sin (2 rad) = 0.9079365079
Omg! i can't believe it stopped there! So beautiful and excellent! It's like Dr. Brunton was on a roll, and the clock ran out. I fully imagine from this point, he could go in multiple directions. I had this class under a Syrian professor educated in France, but also spoke English, but the accent was so thick, all we students had difficulty (and we all liked the professor). So wonderful to find this! Thank you, Dr. Brunton!
Hi: thanks for all the videos you post. I am an old, 74, retired electronic engineer from Chile. I love to learn these things, with nice color, graph and very clear teachings. I learn some of them
in Chile in black and white blackboards, using sometimes copies of books we had to borrow for limited time at the Library, or use to buy a photocopied material. Thanks, no need to use this, just to have fun learning, and you do a great job teaching. From Surrey, B.C. Canada
5:10 : man, full respect. I'm literally addicted to your lectures. Thank you so much for all the tons of effort you put in those.
I'm following this lectures for the mere pleasure I find in re-understanding similar lectures old from college. But thanks to you, I'm understanding it even better. And this topic was one of my favourites during my physics degree.
I wish you the best, and thank you again for all this marvelous contents.
You are the only one I would call "a genious". Thank you soooo much for sharing your knowledge.
PS: you wrote the most PERFECT book in my entire career as a student.
Go ahead and share the title of that book!
You are the man of the hour. Thank you for the clean and precise explanations!
Thanks for watching!
Incredibly helpful, engaging, and informative of all aspects. Great stuff!
Thank you for making PDEs interesting and making this course. I will try to finish your other playlists too.
This is great stuff. Thanks a million, professor Brunton!
You are literally the best, this stuff is so helpful!
Glad you think so!
I have watched all the videos in your PDE, ODE, Complex Analysis, FFT, SVD, and Dynamical Systems series, and I finally got to understand how those courses I studied as an undergraduate connect to each other. Your lectures are super clear, intuitive and inspiring. They do help a lot. Tons of thanks to you!
By the way, do you have plans to teach more about the dynamical system, especially the bifurcation and chaos? I'm eager to learn more about them. Thanks again.
Thank you, professor
Love this series! Any chance of you going through the derivation of the NS equation(s)?
Great Content.
Thank you very much.
Didn't know Harrison wells had a UA-cam channel
I'm learning this at night, but I also feel squeaky
😂👍
Hi Steve. Thanks so much for your lectures. I’m really enjoying them and learning loads.
I also had a question. In this solution the magnitude of the height of the rope at a given time and position is the same as that of the forcing function. I believe that in the real world, as the kid waves the rope around, the signal would attenuate as it moved along the rope. Am I correct in thinking that modelling this attenuation would involve a damping term of some description being added to the initial equation? My understanding of damping terms is that they are generally terms related to the first derivative, but I’m unsure as to whether this would be the first derivative wrt time or space in the equation you’ve presented. Do you know which it would be and why? Forgive me if my question is trivial or poorly formulated
Laplace transform! awesome! the squeakiness doesn't bother me.... but for math exercise maybe we can use Laplace transform to filter out the squeakiness? That would be fun!
Hi Steve, I am interested in a high confidence model for a transition from the current economy to a two tier sustenance and cultural economy. Could you point me in the right direction?
At 22:20, your equi-temporals have the wrong slope. This is related to your mistaken Heaviside inversion. The first signals (largest t) have propagated the furthest (largest x). x-ct=constant is the equation of these.
Kolsky textbook reference or what?
Oh man I coulda used this last semester in grad EM lol
Hey, just one question: at 7:15 I think the order of u_t and u is wrong. in this case it doesnt matter but I just wanted to point that out.
Sir, my question is arbitrary from this topic you are lecturing. Am confused by Maclauren series representation of Sin(x)= (x- x^3/3! +x^5/5! - x^7/7!+...+x^n/n!), let say x=2 then Maclauren of is = 0.9079365079 and sin(2)=0.0348994967 using calculator. My question why is these two answers different, if Maclauren represents sinx??
The argument of the sin function of your calculator may be based on deg , not rad...
I think you got the sin of 2 deg, not sin of 2 rad...
sin (2 deg) = 0.0348994967
sin (2 rad) = 0.9079365079
@@hoseinzahedifar1562 thanks a lot it actually make more sense
at 11:00 you say Bbar is zero, but you dont say anything about s which is complex number and can be negative.
Hi Steve, this is in Latin, please translate: Quaeso vigilate solum meum video in alveo meo. Quaere Joshtmoody.
Meae glossae deletae sunt.
Also in German, please translate: Meine Kommentare wurden gelöscht.