Differential Equations and Dynamical Systems: Overview

[@tiangong6616]

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!

[@santiagonaranjogallego4592]

Hi!, which courses do you recommend for mechanical engineering maths

[@tiangong6616]

@santiagonaranjogallego4592 Hi defeniftely this one and the one for PDE + data science one

[@yevgeniyterekhin3711]

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!

[@onurkurum]

This! Thank you so much on behalf all life long learners

[@erikgutierrez3613]

@@onurkurum Thank you for all your paintings, Mr. Ross!

[@kenankenan6371]

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.

[@HackionSTx]

I can't believe you give us these invaluable resources for free prof. Brunton. I wish you all the success in the world.

[@macchiato_1881]

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.

[@AleeEnt863]

You are the future of the educational system. Keep doing what you are doing!

[@marioskokmotos8274]

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!

[@kangnianwang6124]

This is the kind of teacher I always wanted but never had. Thank you so much professor.

[@ec6895]

The amount of resources, clarity, examples, graphics, and quality of the presentation. This is incredible! I think you got me hooked on ODE's

[@andrewnorth7000]

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!

[@riteshparmar4687]

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

[@fabioragazzi5917]

This channel is simply incredible

[@novelspace]

Ive never hear of a rocket landing described as a pendulum. So simple and elegant. Brilliant. Thank you Steve

[@Elizabeth-nq9ly]

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!!!

[@robvp71]

52 now... And again motivated to learn this beautiful subject! Great to see you being so enthusiastic and thanks so much for this material.

[@ehsanulbarihome]

Thanks so much for all the playlists of courses. I am eternally grateful for your teaching and lectures

[@vectorautomationsystems]

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

[@christofferfink5049]

Someone give this guy a medal! Or maybe three.

[@brunoduartegomes2689]

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.

[@ibrahimalotaibi2399]

The way you deliver and share your knowledge is impressive, Professor. Thanks a lot.

[@rdewar69]

Thank you for all ur lectures. Truly inpirational.

[@rdewar69]

That's inspirational

[@usmanmuhammad5061]

Please upload all videos fast. I need this course desperately.

[@Eigensteve]

Top secret tip: if you go to the playlist, all videos are there now, even before they are publicly released.

[@YenPitchayen]

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!

[@khaldibel]

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.

[@moisesbeyond]

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.

[@dimpap9659]

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

[@drgali7230]

I'm actually a dentist but this set of lectures are ughh , I'm so obsessed ❤️

[@marklondon9004]

I'm a data scientist, but my crown just broke off. Could we exchange skills?

[@drgali7230]

@@marklondon9004 of course

[@drgali7230]

@@marklondon9004 yes let's do this

[@tikarambhusal8657]

Continuity in your progressive teaching has helped globally,thanks a lot.

[@totmatw]

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.

[@vijaykrishnamenon]

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.

[@mostafaatalla71]

Please continue the great job you are doing for the world of learners!

[@goodfty]

Oh thank God, I'm so happy for this. Thank you so much!

[@seivansalimibabamiri5268]

Thank you so much for your invaluable contribution to having free access to science. Your are an amazing teacher. these topics are very helpful.

[@alejandrocarbon5483]

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.

[@albertogarcia1278]

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 :-) )

[@ahmadoqda1327]

I admire your passion for share such greatness of mathematics, you make it much easier and more glorious, thank you.

[@neurodiversidadetdah9599]

I felt in love with Differential Equations too!!

[@ВладиславКонев-ъ2х]

Just can't wait, thank you Professor.

[@kalpitkatpara4363]

Steve Brunton is the legend, period!

[@אורהארבל]

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!

[@ryanj748]

Sooooo excited for this!

[@abdussamad4982]

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.

[@johnkim1048]

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!

[@lksmac1595]

What you do is amazing for all engineering students! Love it, thank you!

[@AnimationsJungle]

Thank you for starting this lecture series........lots of love ❤️

[@CodyKoehler]

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!

[@magicalblade9503]

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.

[@rudypieplenbosch6752]

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.

[@An_Attempt]

Yes, that was quite the spectacle; to think that that is secretly built into our brains is even more remarkable.

[@iheavense]

An application perspective focused on PDE, is going to be a game changer for PDE teaching!

[@josematas6278]

Hi Professor, it is really cool that you share all this material. I now follow you. We love you 💓💓💓💓💓

[@ManiKandan-zj2lr]

Thank u prof. Steve. You doing an excellent job. I don't know how to appreciate ur noble efforts

[@BHuman2024]

Just Love for the Professor, You are a blessing no doubt for math lovers.

[@kolapopoola3114]

I am looking forward to this. You motivated it well. The codes will definitely make it a worth while experience for me.

[@prashkd7684]

Perfect. Looking forward to the full course.

[@dancollins1012]

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 KZbin comments, by doing so you will stand as a giant amongst global teachers. Onwards and upwards!

[@lorenzosalomone8635]

I really like that fact that this video other than just being a nice introduction is also an amazing motivational video

[@AlexanderRodriguez-lk3hy]

You are awesome. Plain and simple.

[@AbidAli-bv2gl]

Excellent video, I was student of Real and Complex mathematics

[@mattijuntti]

Sounds interesting! Looking forward to the series, thank you!

[@mohamedghazali]

Thank you very much for this class and for the clarity of your overview.

[@muhammadsaadkhan9701]

Awesome . Thank you Professor Steve

[@maxberghofer4775]

This will be absolutely fantastic! Thank you so much Dr. Brunton

[@jb3065]

Absolutely brilliant. Wish I could have had a professor like him 30+ years ago. Thanks for providing this content, it's wonderful.

[@mehndiwalibaji6688]

you are a great person and great teacher indeed. respect and love. waiting for this program as well.

[@lioneloddo]

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 !

[@jerimiah593]

Perfect timing since I’m about to start Math207!

[@balajiadmile496]

Oh my god what beautiful explaination we want more videos with visual animation

[@naimaware]

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.

[@gustavodelgadillo7758]

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

[@Piipolinoo]

Exciting! Looking forward to follow it!

[@tinkeringengr]

Awesome, thanks for being my professor!

[@markusm2538]

Honestly i didn't think I'm a math person, however your courses fit well into my brain. Great thanks.

[@adekunlerenner7675]

Can't wait to get started

[@alicanakca8116]

I will have taken this course this year. Looking forward to see your videos, thank you sir! ^^

[@bernardorinconceron6139]

Thankyou very much Prof. Brunton. I find your videos really interesting and very well-delivered lessons.

[@hurstcycles]

Fantastic, really looking forward to this series, Python at the ready!

[@science_engineering]

More chaos, more chaos, more chaos:) favorite topic :)

[@sal7391]

Thank you so much Steve. What you are doing is a great thing.

[@stevenbacon3878]

Looking forward to it!

[@amaarquadri]

Love your videos! Looking forward to the series.

[@michaelwood2292]

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.

[@Mede_N]

Awesome. I'm so looking forward to this course. Thanks a lot!

[@maifilms]

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

[@yashthakre]

just what I needed today. Thanks!!

[@ichaa3tech]

really excited to start this journey with you. very interesting indeed

[@terrym2007]

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

[@plekkchand]

Wonderful, generous, sane, intriguing, brilliant....

[@neoness1268]

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! 🙏🙏🙏

[@uddipanbaruah6021]

Thank you so much sir.. I know thank you is not enough but I really appreciate your work.. Really excited for the course sir

[@JohnSmith-ut5th]

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?

[@muhammadmobeen8682]

you are always impressive... looking forward..

[@benceweisz1063]

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!

[@michapeka2800]

Looking foward to!

[@marcfruchtman9473]

Sounds amazing. Thank you for making this educational video series.

[@عبدالقادرعبدالرحمنعبدالله]

your voice makes this so interesting

[@mingusbingus6746]

You the man. I’m trying to learn more DEs to apply to ecological modeling. Very fun

[@gean7917]

a course like that on youtube is just insane

[@abdallaismail2191]

This fantastic I'm glad I stumbled upon your channel, much love

[@__--JY-Moe--__]

nice! super brush-up! U teach so well ! good luck!

[@murraypatterson9190]

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.

[@yanjnus]

Thanks for the excellent lectures!