What you are doing is so important! The way you do it is so cool! I wish I had access to resources and lectures you deliver in my time, about 25+ years ago. Great respect!
Totally agree. Unfortunately in Soviet space this type of lecturers was in deficit and intuitive approach which is almost vital for math and engineering almost wasn't.
As a student in aerospace engineering, I can’t fully express how much I love this series of lectures given by Dr. Steve Brunton. These lectures, along with others, have greatly helped me understand engineering mathematics better and appreciate the amazing applications in the field. Thanks for the entire series! For all students in engineering, I highly recommend this channel!
Professor Brunton's excellent lectures consolidate at least 3 years of undergraduate (with a lot of graduate influences) mathematics and enhance it with fantastic example applications and even code! I wish I had these resources back in university. Everything would have made so much more sense! One of the best educators out there. We are forever grateful for this treasure professor!
Thanks Dr. Brunton, I’m looking forward to this series! Your description of applied mathematics is inspiring and helps motivate my own journey of understanding on the subject. Love the historical framing and focus on modern applications and techniques. Also appreciate the black background, makes screen time way easier on the eyes!
Sounds very interesting. I am teaching Modeling and Simulation and am looking forward to this series of lectures. Thanks for sharing this to a wide audience.
Dear Steve Brunton, your videos are beyond great. In addition to your good teaching, there are also nice visual dynamics which really help with learning. Please continue and be aware that we will be always here supporting you and eager to learn more and more. Thank you very much indeed.
Gosh! I wish I could have your lecture when I studied engineering class. I never knew the differential equation is fascinating and utilizing in every dynamic movement around us like this. Kudos to you Prof.Brunton! Your technique and the materials are very very awesome!
thanks for you time , effort and excellent information, from a former lover of Math now an engineer dealing with mundane things but always willing to learn , greetings from the Dominican Republic.
I pretty much make my living with exactly the same stuff you teach .... Extraordinary .... Its like all Engineering in a formula... a Grand unification of all of Engineering Math.
This is Gold! I am one of them who studied these concepts about a decade ago and do not remember, but now I find myself in a situation where I need to understand them! Thank you very much! Best regards from Nairobi, Kenya
Wow, the teaser was already more plausible than all the explanations I've already received from professors and teachers why an eigenvectors and eigenvalues are used. thanks for that
Amazing series. Thanks for compiling it. I am engineer aiming at refreshing concepts that I had forgotten or did not learn properly the first time around.
Thanks Prof. Brunton for this fantastic set of lectures. Amazing as a refresher for an engineer that got out of college 20 years ago. Also beautifully produced! (audio, slides, black background with 'glass' blackboard - all impeccable :-) )
Steve, I'm excited as you are about the upcoming videos! As an engineer rediscovering this material, may I emphasise a few high priorities? First and foremost: the intuition on all things eigen. I can use them, but lack the deep understanding as to what they're telling me about the system. Secondly, applications are critical - ideally I'd like worked examples of each topic across electrical, mechanical and fluid systems. Thirdly, the computational aspect is extremely welcome, but I urge you to include Julia language examples - its ease of use and outstanding performance make it a natural for these computations. I would trade it for Python in a heartbeat. Finally, thankyou in advance for engaging with students via UA-cam comments, by doing so you will stand as a giant amongst global teachers. Onwards and upwards!
Looking forward into following this series, especially the practical examples you mention for Matlab and machine learning and control systems. I have been following your previous lessons and am amazed by the quality and the work you put in them 👏. Wow stabilising a double pendulum, this I never saw before, amazing.
i was trying to study diff for last 3 weeks and let me tell you this is literally the only thing that motivated me... thank you teach you've changed the life of a chemcial engineering student from the other side of the world in just half an hour.
I am second year undergraduate student I have read ordinary differential equation in 3rd semester and with partial differential equation course of 4th semester I will watch this masterpiece made by you. Thanks sir, for this wonderful course lectures
I can't say enough good things about your videos. I just finished the vector calc series as a refresher after quite a few years. You are a wonderful professor, and these videos are such a nice way to share the information with the world. Thank you!
why they did not use this metholodology while teaching mathematics. It makes so much sense listening to Professor Brunton. It is never too late to learn. Thanks Professor. I am learning.
Great Stuff. I would love to get your ideas on two important books..1. Where Mathematics Comes From, Lakoff, Nunez. 2. Godel Escher Bach, Douglas Hofstadter. Thanks again
Does someone feel, like Leibniz, that differential equations are out of the world ? Poincaré explains very well the different approches between Newton and Leibniz about differential equations. The Leibniz approach is so beautiful ! Leibniz invents the differential calculation but also the monadology. And it's so instructive to read the monadology with the idea of differential calculation in mind !
18:37 ( also acid ) Thank you for this awesome sharing of knowledge from you. It's really hard to find good educational purpose videos ( non divulgation ) Especially in math and physics. Thank you again! 🙏🙏🙏
I agree with all the positive comments provided here... If you are taking additional requests, I'd REALLY love to see more vidoes like the "Gental Introduction to Modeling with Matrices...." This is the first video I watched and I can't explain to you how much it made sense and how all the components "linked" to oneanother... Thank you for your time and energy for making these videos and hopefully more in the future.
This is the best course I have seen on Engineering math , thankyou! I am reviewing those concepts after I studied time ago and now are getting more clear.
Wow again I am so freaking exited of having access to this content I cannot even thank You enough, god bless every thing You do professor my absolute gratitude and respect for You
Thank you so so much I’m taking a course right now with this exact course title and I’m struggling, looking forward to actually understanding stuff after this video
Thank you so much for a MODERN course on differential equations. This is how it should be taught in universities. Can you do a lecture series on Calculus of Variations and maybe one on Continuum Mechanics?
Super excited for this series! I'm hoping to do research in physics based animation so I think this series is going to help me a lot with understanding the models. Also I was wondering where I saw that cylinder fluid flow model and remembered I saw it at a talk your student gave at the UofT Geometry Colloquium. Great work!
Steve, I think it'd be awesome if you highlighted the similarities of the Fourier and Laplace transforms when written in exponential form. I think most classes don't connect these two very well or at all
I cheer you and your work. Continue to share your knowledge. Sometime we are not in mood to work hard but with this kind of sharing we can comeback when we are ready.
Never ceases to amaze me how practitioners of “dynamical systems” and “systems dynamics” are both others existence … particularly as they both purport to model nonlinear systems. We live so often in narrow minded worlds.
What you are doing is so important! The way you do it is so cool! I wish I had access to resources and lectures you deliver in my time, about 25+ years ago. Great respect!
This! Thank you so much on behalf all life long learners
@@onurkurum Thank you for all your paintings, Mr. Ross!
Totally agree. Unfortunately in Soviet space this type of lecturers was in deficit and intuitive approach which is almost vital for math and engineering almost wasn't.
As a student in aerospace engineering, I can’t fully express how much I love this series of lectures given by Dr. Steve Brunton. These lectures, along with others, have greatly helped me understand engineering mathematics better and appreciate the amazing applications in the field. Thanks for the entire series! For all students in engineering, I highly recommend this channel!
Hi!, which courses do you recommend for mechanical engineering maths
@santiagonaranjogallego4592 Hi defeniftely this one and the one for PDE + data science one
I can't believe you give us these invaluable resources for free prof. Brunton. I wish you all the success in the world.
You are the future of the educational system.
Keep doing what you are doing!
As someone who's country's educational system is lacking in so many ways, I cannot thank you enough for this series. Thank you, truly.
Professor Brunton's excellent lectures consolidate at least 3 years of undergraduate (with a lot of graduate influences) mathematics and enhance it with fantastic example applications and even code! I wish I had these resources back in university. Everything would have made so much more sense! One of the best educators out there. We are forever grateful for this treasure professor!
The amount of resources, clarity, examples, graphics, and quality of the presentation. This is incredible! I think you got me hooked on ODE's
Ive never hear of a rocket landing described as a pendulum. So simple and elegant. Brilliant. Thank you Steve
This is the kind of teacher I always wanted but never had. Thank you so much professor.
Thanks Dr. Brunton, I’m looking forward to this series! Your description of applied mathematics is inspiring and helps motivate my own journey of understanding on the subject. Love the historical framing and focus on modern applications and techniques. Also appreciate the black background, makes screen time way easier on the eyes!
Someone give this guy a medal! Or maybe three.
Sounds very interesting. I am teaching Modeling and Simulation and am looking forward to this series of lectures. Thanks for sharing this to a wide audience.
52 now... And again motivated to learn this beautiful subject! Great to see you being so enthusiastic and thanks so much for this material.
Dear Steve Brunton, your videos are beyond great. In addition to your good teaching, there are also nice visual dynamics which really help with learning. Please continue and be aware that we will be always here supporting you and eager to learn more and more. Thank you very much indeed.
I admire your passion for share such greatness of mathematics, you make it much easier and more glorious, thank you.
The way you deliver and share your knowledge is impressive, Professor.
Thanks a lot.
Gosh! I wish I could have your lecture when I studied engineering class. I never knew the differential equation is fascinating and utilizing in every dynamic movement around us like this. Kudos to you Prof.Brunton! Your technique and the materials are very very awesome!
thanks for you time , effort and excellent information, from a former lover of Math now an engineer dealing with mundane things but always willing to learn , greetings from the Dominican Republic.
I'm actually a dentist but this set of lectures are ughh , I'm so obsessed ❤️
I'm a data scientist, but my crown just broke off. Could we exchange skills?
@@marklondon9004 of course
@@marklondon9004 yes let's do this
Wow 😳 where have you been all my life? This is exactly how I want to be taught. With everything linked together. Thank you so much!!!
Thank you so much for your invaluable contribution to having free access to science. Your are an amazing teacher. these topics are very helpful.
I pretty much make my living with exactly the same stuff you teach .... Extraordinary .... Its like all Engineering in a formula... a Grand unification of all of Engineering Math.
Absolutely brilliant. Wish I could have had a professor like him 30+ years ago. Thanks for providing this content, it's wonderful.
This is Gold! I am one of them who studied these concepts about a decade ago and do not remember, but now I find myself in a situation where I need to understand them! Thank you very much! Best regards from Nairobi, Kenya
Wow, the teaser was already more plausible than all the explanations I've already received from professors and teachers why an eigenvectors and eigenvalues are used. thanks for that
Amazing series. Thanks for compiling it. I am engineer aiming at refreshing concepts that I had forgotten or did not learn properly the first time around.
Thanks Prof. Brunton for this fantastic set of lectures. Amazing as a refresher for an engineer that got out of college 20 years ago. Also beautifully produced! (audio, slides, black background with 'glass' blackboard - all impeccable :-) )
Steve Brunton is the legend, period!
Steve, I'm excited as you are about the upcoming videos! As an engineer rediscovering this material, may I emphasise a few high priorities? First and foremost: the intuition on all things eigen. I can use them, but lack the deep understanding as to what they're telling me about the system. Secondly, applications are critical - ideally I'd like worked examples of each topic across electrical, mechanical and fluid systems. Thirdly, the computational aspect is extremely welcome, but I urge you to include Julia language examples - its ease of use and outstanding performance make it a natural for these computations. I would trade it for Python in a heartbeat. Finally, thankyou in advance for engaging with students via UA-cam comments, by doing so you will stand as a giant amongst global teachers. Onwards and upwards!
An application perspective focused on PDE, is going to be a game changer for PDE teaching!
Looking forward into following this series, especially the practical examples you mention for Matlab and machine learning and control systems. I have been following your previous lessons and am amazed by the quality and the work you put in them 👏. Wow stabilising a double pendulum, this I never saw before, amazing.
Yes, that was quite the spectacle; to think that that is secretly built into our brains is even more remarkable.
i was trying to study diff for last 3 weeks and let me tell you this is literally the only thing that motivated me... thank you teach you've changed the life of a chemcial engineering student from the other side of the world in just half an hour.
I am second year undergraduate student I have read ordinary differential equation in 3rd semester and with partial differential equation course of 4th semester I will watch this masterpiece made by you. Thanks sir, for this wonderful course lectures
Continuity in your progressive teaching has helped globally,thanks a lot.
Thank u prof. Steve. You doing an excellent job. I don't know how to appreciate ur noble efforts
I can't say enough good things about your videos. I just finished the vector calc series as a refresher after quite a few years. You are a wonderful professor, and these videos are such a nice way to share the information with the world. Thank you!
Please continue the great job you are doing for the world of learners!
You are the best lecturer I have ever learned from!! (and I learned many years from many lecturers). Thank you so much for this course!
This is exactly what I was looking for as a civil engineering trying to get ahead for college during my summer break. Thank you so much!
What you do is amazing for all engineering students! Love it, thank you!
why they did not use this metholodology while teaching mathematics. It makes so much sense listening to Professor Brunton. It is never too late to learn. Thanks Professor. I am learning.
Just Love for the Professor, You are a blessing no doubt for math lovers.
Thanks so much for all the playlists of courses. I am eternally grateful for your teaching and lectures
Just can't wait, thank you Professor.
This channel is simply incredible
Thank you so much Professor Brunton. I am learning a lot from your lectures, they are a million times better than the courses I took in university.
Awesome . Thank you Professor Steve
Oh thank God, I'm so happy for this. Thank you so much!
Great Stuff. I would love to get your ideas on two important books..1. Where Mathematics Comes From, Lakoff, Nunez. 2. Godel Escher Bach, Douglas Hofstadter. Thanks again
I am looking forward to this. You motivated it well. The codes will definitely make it a worth while experience for me.
Does someone feel, like Leibniz, that differential equations are out of the world ?
Poincaré explains very well the different approches between Newton and Leibniz about differential equations.
The Leibniz approach is so beautiful !
Leibniz invents the differential calculation but also the monadology.
And it's so instructive to read the monadology with the idea of differential calculation in mind !
I really like that fact that this video other than just being a nice introduction is also an amazing motivational video
Perfect. Looking forward to the full course.
18:37 ( also acid )
Thank you for this awesome sharing of knowledge from you. It's really hard to find good educational purpose videos ( non divulgation ) Especially in math and physics.
Thank you again!
🙏🙏🙏
you are a great person and great teacher indeed.
respect and love.
waiting for this program as well.
Thank you for starting this lecture series........lots of love ❤️
I agree with all the positive comments provided here... If you are taking additional requests, I'd REALLY love to see more vidoes like the "Gental Introduction to Modeling with Matrices...." This is the first video I watched and I can't explain to you how much it made sense and how all the components "linked" to oneanother... Thank you for your time and energy for making these videos and hopefully more in the future.
This is the best course I have seen on Engineering math , thankyou! I am reviewing those concepts after I studied time ago and now are getting more clear.
Oh my god what beautiful explaination we want more videos with visual animation
Perfect timing since I’m about to start Math207!
Excellent video, I was student of Real and Complex mathematics
This will be absolutely fantastic! Thank you so much Dr. Brunton
I will have taken this course this year. Looking forward to see your videos, thank you sir! ^^
Wow again I am so freaking exited of having access to this content I cannot even thank You enough, god bless every thing You do professor my absolute gratitude and respect for You
Honestly i didn't think I'm a math person, however your courses fit well into my brain. Great thanks.
Thank you so so much I’m taking a course right now with this exact course title and I’m struggling, looking forward to actually understanding stuff after this video
I felt in love with Differential Equations too!!
Thankyou very much Prof. Brunton. I find your videos really interesting and very well-delivered lessons.
Hi Professor, it is really cool that you share all this material. I now follow you.
We love you 💓💓💓💓💓
Sounds interesting! Looking forward to the series, thank you!
Thank you so much Steve. What you are doing is a great thing.
Please upload all videos fast. I need this course desperately.
Top secret tip: if you go to the playlist, all videos are there now, even before they are publicly released.
Sooooo excited for this!
You are awesome. Plain and simple.
Fantastic, really looking forward to this series, Python at the ready!
Thank you very much for this class and for the clarity of your overview.
Thank you for all ur lectures.
Truly inpirational.
That's inspirational
Exciting! Looking forward to follow it!
Thank you so much sir.. I know thank you is not enough but I really appreciate your work.. Really excited for the course sir
Awesome. I'm so looking forward to this course. Thanks a lot!
Thank you so much for a MODERN course on differential equations. This is how it should be taught in universities. Can you do a lecture series on Calculus of Variations and maybe one on Continuum Mechanics?
Can't wait to get started
Super excited for this series! I'm hoping to do research in physics based animation so I think this series is going to help me a lot with understanding the models. Also I was wondering where I saw that cylinder fluid flow model and remembered I saw it at a talk your student gave at the UofT Geometry Colloquium. Great work!
Looking forward to it!
Awesome, thanks for being my professor!
Love your videos! Looking forward to the series.
Steve, I think it'd be awesome if you highlighted the similarities of the Fourier and Laplace transforms when written in exponential form. I think most classes don't connect these two very well or at all
More chaos, more chaos, more chaos:) favorite topic :)
just what I needed today. Thanks!!
a course like that on youtube is just insane
really excited to start this journey with you. very interesting indeed
I cheer you and your work. Continue to share your knowledge. Sometime we are not in mood to work hard but with this kind of sharing we can comeback when we are ready.
Wonderful, generous, sane, intriguing, brilliant....
You the man. I’m trying to learn more DEs to apply to ecological modeling. Very fun
you are always impressive... looking forward..
Is any reference book available as told in the video .
Never ceases to amaze me how practitioners of “dynamical systems” and “systems dynamics” are both others existence … particularly as they both purport to model nonlinear systems. We live so often in narrow minded worlds.
Sounds amazing. Thank you for making this educational video series.
Looking foward to!
Awesome…this is going to be great! Thanks very much