Differential Equations and Dynamical Systems: Overview

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This video presents an overview lecture for a new series on Differential Equations & Dynamical Systems. Dynamical systems are differential equations that describe any system that changes in time. Applications include fluid dynamics, elasticity and vibrations, weather and climate systems, epidemiology, biomechanics, space mission design, and control theory.
I assume that students have taken some calculus (but might not remember it) and are interested in modeling the real world.
Playlist:
Course Website [will be updated soon]: faculty.washington.edu/sbrunto...
@eigensteve on Twitter
eigensteve.com
databookuw.com
This video was produced at the University of Washington
%%% CHAPTERS %%%
0:00 Introduction and Overview
3:54 Overview of Topics
10:41 Balancing Classic and Modern Techniques
13:11 What's After Differential Equations?
17:18 Cool Applications
22:38 Chaos
26:32 Sneak Peak of Next Topics

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7 июл 2024

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Комментарии : 182

@HackionSTx Год назад

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

@yevgeniyterekhin3711 Год назад

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 Год назад

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

@erikgutierrez3613 Год назад

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

@kenankenan6371 Год назад

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.

@marioskokmotos8274 Год назад

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!

@AleeEnt863 Год назад

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

@andrewnorth7000 Год назад

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!

@christofferfink5049 Год назад

Someone give this guy a medal! Or maybe three.

@ec6895 Год назад

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

@novelspace Год назад

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

@brunoduartegomes2689 Год назад

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.

@YenPitchayen Год назад

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!

@CodyKoehler Год назад

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!

@ibrahimalotaibi2399 Год назад

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

@abdussamad4982 Год назад

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.

@alejandrocarbon5483 Год назад

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.

@kennethodhiambo1803 4 месяца назад

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

@iheavense Год назад

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

@kalpitkatpara4363 Год назад

Steve Brunton is the legend, period!

@robvp71 Год назад

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

@Elizabeth-nq9ly Месяц назад

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!!!

@riteshparmar4687 Год назад

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

@moisesbeyond Год назад

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.

@lioneloddo Год назад

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 !

@goodfty Год назад

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

@lksmac1595 Год назад

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

@seivansalimibabamiri5268 Год назад

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

@ahmadoqda1327 Год назад

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

@user-yr9ti4qz7f Год назад

Just can't wait, thank you Professor.

@mostafaatalla71 Год назад

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

@johnkim1048 Год назад

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!

@khaldibel Год назад

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.

@fabioragazzi5917 Год назад

This channel is simply incredible

@vijaykrishnamenon Год назад

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.

@albertogarcia1278 Год назад

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 :-) )

@dimpap9659 Год назад

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

@jerimiah593 Год назад

Perfect timing since I’m about to start Math207!

@prashkd7684 Год назад

Perfect. Looking forward to the full course.

@muhammadsaadkhan9701 Год назад

Awesome . Thank you Professor Steve

@ManiKandan-zj2lr Год назад

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

@AbidAli-bv2gl Год назад

Excellent video, I was student of Real and Complex mathematics

@hasibulhaque9452 Год назад

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

@naimaware Год назад

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.

@maxberghofer4775 Год назад

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

@murraypatterson9190 Год назад

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.

@tikarambhusal8657 Год назад

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

@Piipolinoo Год назад

Exciting! Looking forward to follow it!

@AlexanderRodriguez-lk3hy Год назад

You are awesome. Plain and simple.

@mehndiwalibaji6688 Год назад

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

@magicalblade9503 Год назад

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.

@stevenbacon3878 Год назад

Looking forward to it!

@lorenzosalomone8635 Год назад

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

@jb3065 Год назад

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

@mattijuntti7367 Год назад

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

@user-su4jh4sp9b 3 месяца назад

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 Год назад

Sooooo excited for this!

@sal7391 Год назад

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

@adekunlerenner7675 Год назад

Can't wait to get started

@balajiadmile496 Год назад

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

@bernardorinconceron6139 Год назад

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

@kolapopoola3114 Год назад

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

@gean7917 Год назад

a course like that on youtube is just insane

@AnimationsJungle Год назад

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

@plekkchand 10 месяцев назад

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

@tinkeringengr Год назад

Awesome, thanks for being my professor!

@usmanmuhammad5061 Год назад

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

@Eigensteve Год назад

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

@Mede_N Год назад

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

@alicanakca8116 Год назад

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

@dancollins1012 Год назад

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

@maifilms Год назад

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

@mohamedghazali Год назад

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

@neurodiversidadetdah9599 Год назад

I felt in love with Differential Equations too!!

@rudypieplenbosch6752 Год назад

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 Год назад

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

@science_engineering Год назад

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

@yashthakre Год назад

just what I needed today. Thanks!!

@drgali7230 Год назад

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

@marklondon9004 Месяц назад

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

@drgali7230 Месяц назад

@@marklondon9004 of course

@drgali7230 Месяц назад

@@marklondon9004 yes let's do this

@michapeka2800 Год назад

Looking foward to!

@martinsanchez-hw4fi Год назад

The double pendulum stabilized was shocking!

@hurstcycles Год назад

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

@markusm2538 Год назад

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

@amaarquadri Год назад

Love your videos! Looking forward to the series.

@ichaa3tech Год назад

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

@mingusbingus6746 Год назад

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

@michaelwood2292 11 месяцев назад

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.

@uddipanbaruah6021 Год назад

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

@benceweisz1063 Год назад

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!

@muhammadmobeen8682 Год назад

you are always impressive... looking forward..

@Lucas_Sid Год назад

Muito Obrigado pela aula Dr. Brunton esse assunto é fascinante.

@TheChemicalProcessEngineer 7 месяцев назад

you made me more than just excited! thank you!

@yanjnus Год назад

Thanks for the excellent lectures!

@thawinhart-rawung463 Год назад

Good job Prof.

@faridaahadli1504 Год назад

Just in time, I am going to start my PhD!

@marcfruchtman9473 Год назад

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

@bebarssolnmay7650 Год назад

Fantastic explanation. 😀

@jimlbeaver Год назад

Awesome…this is going to be great! Thanks very much

@josematas6278 Год назад

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

@neoness1268 Год назад

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! 🙏🙏🙏

@eduardocarmona8157 3 месяца назад

I'm a film production professor, but this is addictive!

@rdewar69 Год назад

Thank you for all ur lectures. Truly inpirational.

@rdewar69 Год назад

That's inspirational

@janferkl7649 Год назад

Thank you very much.

@xaverpfk Год назад

Great explanations

@terrym2007 Год назад

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