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UCLA modeling class
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Добавлен 23 авг 2018
Teaching Dynamics to Life Science students
This is a talk given at the 2023 IES Math Summit. The theme of the Summit was "Leveraging STEAM Applications for In-Demand Careers"
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Видео
Teaching statistics in the 21st century
Просмотров 17814 дней назад
19th- and early 20th-century statistics was devoted to trying to derive analytical formulas to describe statistical distributions. In order to derive these formulas (t-test, chi-square, etc.), extremely stringent assumptions had to made (means only, Normal distributions, etc.). Modern computation frees us from these limitations, and also provides a much more intuitive introduction to the fundam...
Teaching Dynamics to Biology Undergraduates
Просмотров 7114 дней назад
We describe a course for freshman biology students that introduces them to dynamical systems modeling in medicine, epidemiology, molecular biology and ecological systems. The course, which has NO calculus prerequisite, uses "change equations" (a/k/a ODEs) to set up vectorfields from which dynamical properties can be easily inferred. Teaching Dynamics to Biology Undergraduates: the UCLA Experien...
Newton Abraham Lecture
Просмотров 7 тыс.4 года назад
University of Oxford 2020 Newton Abraham lecture Prof Alan Garfinkel
19.1 Route to Chaos in Logistic Model 8 30 2019 V2
Просмотров 1,2 тыс.5 лет назад
19.1 Route to Chaos in Logistic Model 8 30 2019 V2
16.5 Extreme Sensitivity Butterfly Effect 8 30 2019
Просмотров 9865 лет назад
16.5 Extreme Sensitivity Butterfly Effect 8 30 2019
12.2 feedback control of gene expression
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12.2 feedback control of gene expression
19.2 Route to Chaos in Food Chain Model 8 14 2019
Просмотров 9655 лет назад
19.2 Route to Chaos in Food Chain Model 8 14 2019
19.3 Review of Chaos, Chaos in Nature 8 14 2019
Просмотров 4445 лет назад
19.3 Review of Chaos, Chaos in Nature 8 14 2019
20.2 Periodically Stimulated Cardiac Cells
Просмотров 3745 лет назад
20.2 Periodically Stimulated Cardiac Cells
6.2 Stable and Unstable Equilibrium Points
Просмотров 10 тыс.5 лет назад
6.2 Stable and Unstable Equilibrium Points
17.1 Discrete Time Dynamical Systems
Просмотров 5 тыс.5 лет назад
17.1 Discrete Time Dynamical Systems
17.3 Sensitive Dependence in Logistic Model
Просмотров 8135 лет назад
17.3 Sensitive Dependence in Logistic Model
17.4 Cause of Chaos in Logistic Function
Просмотров 5615 лет назад
17.4 Cause of Chaos in Logistic Function
17.5 Routes to Chaos in Discrete Logistic Function
Просмотров 5425 лет назад
17.5 Routes to Chaos in Discrete Logistic Function
17.6 Lowering R as an intervention, therapy for chaos
Просмотров 2975 лет назад
17.6 Lowering R as an intervention, therapy for chaos
18.1 Variability as internal or external-candle flame
Просмотров 4425 лет назад
18.1 Variability as internal or external-candle flame
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. :))
hey, thanks,!!!
I just how lucky are we to know where to go
What an excellent lecturer you are. Thank you for sharing your talent of making the complex understandable.
thank you so much!
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.
so sorry, yes it should. little brain freeze there on my part
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!
hah hah, that's a huge compliment! thanks!
You just won't be able to understand how this video speaks to an engineer.. Unless you have the background.. Salute from the Philippines!!!
thanks so much!!
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.
you're very welcome!
Thank you for the lectures. I like the way you teach. The flow of information is pretty frictionless :)
You're very welcome!
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 ...
Many thanks
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.
The whole "Euler's method" scene was the screenwriters invention. RK4 was well-known. I like the fiction because using numerical methods instead of going searching for analytic formulas is the key to applied differential equations, which is what I do
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 have to confess that I know absolutely nothing about the actual history of those computations. I doubt that there was a specific aha moment when Johnson exclaimed "Euler's method". They were probably doing RK4 in real life. But the Hollywood story is wonderful, isn't it?
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?
no, it was flipped in post-production
Very good explanation, thank you Professor.
How did the Russians do it ?
Remember how dunes chang due to the wind thats how the russian did it
How did the Soviets solve the same problem?
Remember how dunes change in time due to win