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amazing video! eager to watch more of these

Thankyou. Professor

Sap in a tree has its best math.

What I want to know is how do they write in reverse on this glass in front of them as it is nothing, so we can see the writings as it should appear?

In Second Life, we use Euler's to fly.

You made it so easy to understand

I'm glad you reposted this. Thank you.

You are an excellent Educator

I have no biology or chemistry education

In the movie, she used Euler's Method to compute the change from an elliptical orbit to a parabolic path for John Glenn's capsule to come back to earth.

🙏Nicely explained...Had heared EULERS METHOD in Movie HIDDEN FIGURES and now I was able to understand in detail

Pass😂

It is amazing how a 300 year old formula solved a problem that modern math couldn't

I couldn’t see giving up such beautiful structures. But I do understand

Thankyou

I did good in Berry phase. Total loss of contact with molecular and so on. Just lost

Thankyou.

Thanks a.lot for the video, I just watch the movie for the 3rd time, and decided to check on the accuracy on the Euler's method scene... I am far from being a Math perso, did it ok at school... Still was impressed by all the problems and situations described in the movie... Thanks again...

🇮🇳 Well, Mathematical Science is to be fastinating subject, simply says Mother of all subjects, while opting her my Major Graduation, I felt her love.

An excellent easily understood educator.

Probably already been mentioned….but this problem can also be applied to the discovery of Quasars. Pulsing Radio signals from quasars had been “received” before, but were not “visible” because astronomers were integrating too long. It was perceived as noise. When they started running the charts faster, the quasar pulses began to be visible as a valid signal as opposed to noise.

very useful! I studied this stuff as an engineering undergrad but it's clearer to me now than before.

I have no doubt that Euler is one among the gods in heaven as he keeps blessing us until this day.

17:33 unless the punch not being perpendicular is important to the explination. Which I feel like its not because the leaking faucet does have this sort of issue with a different angle punch it more so has to do with it still returning to the same state not that the faucet is "pushing" at a different angle. I feel a better way to explain it would have been a surface on a spring that is always punched in the same direction if you punch and let it return and then punch and let it return the system oscillates steadily. But if you punch it while it is on its way back, you create weird oscillation. no difference in angle of punches.

WOW!!!...Amazing

I have seen lot of videos of professionals, but this one is at another level. Huge information with an easy and clear way... Thank you Professor

It's almost criminal that I've been losing my mind for past week trying to start somewhere with these topics while RUclips would constantly recommend the same bloody RUclips videos that don't know how to explain anything and not recommend me your channel:') Great work. :))

What an excellent lecturer you are. Thank you for sharing your talent of making the complex understandable.

the scene in the movie about Glenn and Garfinkel's description don't match -- in the movie the computer tech results were off and Katherine corrected them.

baie dankie professor!

What a beautiful explanation. Thank you Prof.

THANKS ALOT

4:40 Shouldn't the change vector end at (25, -15)? I'm confused by the correction.

does he still teach at ucla?

After scavenging RUclips for anyone who was able to dumb-down Euler’s method for me to understand, I have finally found it. Thank you!

You just won't be able to understand how this video speaks to an engineer.. Unless you have the background.. Salute from the Philippines!!!

Who’s Raylay? Isn’t it Raalee? Like the tobacco! Great lecture!🙏

Thanks for the actual referenc to the article of the original author of this model. Nice explanations as usual.

Thank you for the lectures. I like the way you teach. The flow of information is pretty frictionless :)

How do we know that k is exactly the probability that a successful reaction occurs?

Is it just algorithm

Crazy, we were doing some of these trajectories in HS. I didnt know people did all this for a living.

Excellent..enjoyed so much listening ...

So why use Euler's method? There is an improved version that is much better and then there is Runge-Kutta that is better yet. Runge-Kutta requires about 40% of the evaluations to get the same accuracy. Runge-Kutta has been known since the early 1900s. RK45 is better yet.

Thee is Euler's method, improved Euler's method but I would have used Runge-Kutta. It was known back then. It is easy to get RK4 to work on a computer. The problem with using a lot of small steps is that round off error accumulates. So I wonder what was the precision of the computers they had back then and did it even have floating point? Probably not so the floating point was probably programmed in a custom way so it would have enough precision.

I wish this man was my mentor he reveals this that are not easy to find and talk about concepts, applications modelling, i wish i have meet this man in my life, who knows maybe i could have influenced the world with innovations or worked for cia or ussr

Are you writing backwards?

Very good explanation, thank you Professor.

How did the Russians do it ?

How did the Soviets solve the same problem?