Episode 3: Derivatives - The Mechanical Universe

[@theallseeingmaster]

I used to wake up early on weekends to watch this series; it just grabbed me and held on to me until the end.

[@Dopaaamine27]

Nice. Miss old days.

[@ariellubonja7856]

Did it inspire you in your college years? :)

[@theallseeingmaster]

@@ariellubonja7856 Well after college.

[@albertqhumperdinck]

I love hearing that, because I`m waking up early on Saturdays to watch this on youtube, so thanks for the indirect encouragement!

[@lanepotts1046]

This is a better intro to calculus and physics than any of my professors could do

[@josueghirghi]

This is by far the best explanation of a derivative I’ve had

[@hemm2333]

After spending days and days, 100s of videos on slopes and derivatives, Here lies the simple, elegant & perfect explanation. Thanks 🙏

[@brian_mcnulty]

We are using this in my Physics class this Summer and we have to write a half page paragraph on at least 10 of these things. I am very much excited!

[@leonsantamaria9845]

Caltech is one of the best in teaching physics......in ..the world is relaxing... watching....l love it....❤️ .... better than politicians drama....😀.

[@noahtellier921]

I love math, especially when they seduce you with calming background music

[@ulisesfonseca7937]

an a beautiful woman´s voice saying the laws

[@razzdazzjazz92]

3blue1brown ftw

[@davidcabreramartinez4892]

Math does no seduce you creep

[@clcmoreira2]

Thank you, Caltech!

[@ajhollobaugh]

O.M.G. I finally found it. My physics teacher in high school made us watch these all through physics and AP physics, and that was in 2014!!

[@rafaeadil3709]

I'm going through that rn

[@YouTube_HQ]

Mr.Rod

[@ScottPettigrew]

We watched it in 1990! I still love this series.

[@ann_soup]

same. Shoutout Mr. P

[@philipsankot8003]

David Louis Goodstein (April 5, 1939 - April 10, 2024) I just looked up the professor....he just recently died.... RIP 🙏🏽

[@papawhiskeybravo]

Great video. Thanks Dr. Goodstein and Cal Tech for creating it.

[@philipsankot8003]

David Louis Goodstein (April 5, 1939 - April 10, 2024) I just looked up the professor....he just recently died.... RIP 🙏🏽

[@Oxygenationatom]

@@philipsankot8003wtf

[@aydinjamshidi7795]

i learn 4 years high school mathematics and physics with this video

[@sarathkumar-tz3jd]

Absolutely stunning ever and forever

[@nidurnevets]

I am enjoying watching these one at a time from the beginning. Great series!

[@bookofproofs]

Great video series! :-)

[@drizer4real]

Wachted this in the eighties, loved it then and still love it now. Makes me wanna study math again

[@Dopaaamine27]

Study again. No age of learning.

[@beoptimistic5853]

kzbin.info/www/bejne/joGmmHqKbqefqLM 👍💐💐💐

[@priyanshashrestha5484]

My mind just exploded from the many realizations, really helpful.

[@iamsargon]

I remember watching this on the original Learning Channel when I first got cable in the early 80’s

[@letsimage]

amazing movies, thank you very much! Unfortunately I can't see them during my physics lectures. But at least I can now heh

[@felixhe9338]

In fact, I think Archimedes also made important progress in connecting math with physics.

[@brainstormingsharing1309]

Absolutely well done and definitely keep it up!!! 👍👍👍👍👍

[@beoptimistic5853]

kzbin.info/www/bejne/joGmmHqKbqefqLM ..💐

[@stanleycates1972]

Freeman Dyson made me happy when he stated gravity will never be integrated into quantum mechanics, thus there will never be a grand unifying theory. 👍 Classical and quantum mechanics can each stand on it's own.

[@LTLT-zg3us]

Stark contrast to the crap on TV now, isn't it ?

[@pulseengine3746]

Exactly.

[@luiscadcam1]

how I envy nowadays students, with this and Walter Lewin and other good 'explainers'

[@louisjohnson7441]

Hey! i like the music, makes me feel like a captain lol !

[@codym8897]

Can you upload all 26 episodes of Personal Finance and Money Management with Bob Rosefsky from 1982?👍

[@roberttelarket4934]

Neither Fermat and certainly not overrated Decartes had a general method of determining the tangent line to a curve at a given point. Decartes claim to fame was one of the most important concepts in history that any point in the plane can be uniquely described by two numbers from two axes which contrary to popular belief do not have to be perpendicular! That no one else discovered this is remarkable!

[@Dopaaamine27]

He plagiarized from some arab mathematician.

[@roberttelarket4934]

@@Dopaaamine27:Bullshit!!!!!

[@Dopaaamine27]

@@roberttelarket4934 He copied from al khuraizmi

[@roberttelarket4934]

@@Dopaaamine27: The mathematician and mathematics historian that I knew personally in the 1960's never mentioned it in his well known book if I recall correctly otherwise we'd all be citing this Arab! Further the genius Oresme had some notion of coordinates centuries before.

[@liamhoward2208]

Reminds me of my childhood

[@forward876]

And thiS is how math is taught AND TRULLY LEARNED

[@michaelspurlock3096]

Does anyone know the prerequisite math level needed to understand this "Mechanical Universe" series? Thanks, Michael Spurlock

[@indianpride8545]

Check out the book Calculus for dummies.

[@michaelspurlock3096]

@@indianpride8545 Thanks for the tip.

[@whirledpeas3477]

@@indianpride8545 drunken pride, lol 😆

[@KareemSaid--]

I really like this animation. It is brilliant.

[@jasonabc]

Great lecture

[@philipsankot8003]

David Louis Goodstein (April 5, 1939 - April 10, 2024) I just looked up the professor....he just recently died.... RIP 🙏🏽

[@ShreyasYT7]

Rest in peace 🙏💐

[@kingsurya3215]

In 3 days ,whole series completed

[@whitebraed5448]

Can anyone explain what pythagorean harmonies are? Surely they can't just be the lengths of the strings. I feel like there has to be more to it, especially since it took so long to rediscover

[@abcdef2069]

mathematician is the guardian of precision and clarity of thought.... this is why math is so hard to understabnd, it is so abstarct in their definition, theorem and all writings. why so many weird symbols and no words. can someone explain this to me, why faraday's magnetic induction's total derivative becomes a partial derivative in the maxwell's eq? faraday's total derivative even considers the possibility of changing the area by moving the loop, while maxwell's partial derivative ignores it.

[@ericzeigler8669]

Multivariable systems are more complex than systems involving one variable. Partial differential equations are needed to describe multivariable systems. Math symbols are just abbreviations of real words that could be spelled out, but lazy humans used symbols to shorten the drudgery of math. Math is the language of understanding the universe around us. It is a language not stagnant, but alive and changing as we gain knowledge. Take one math topic at a time and it will be less overwhelming. I am studying tensors and abstract vector space as I follow the topics of General Relativity. Check out different KZbin teachers until you find the one that explains math topics in a way you comprehend. As Feynmann said, "If you can't explain a topic in simple terms that most could understand, then you really don't have a grasp on the subject."

[@Char_603]

05:55 derivatives begins

[@siannak6967]

Didn’t understand anything. Thanks caltech.

[@deepand1798]

After 10 years of pursuing Engineering finally I understood Differentiation 😂😂😂

[@verysimplephysicsinthamil1436]

Outstanding,Fantastic, CALTECH=CALTECH

[@philipsankot8003]

David Louis Goodstein (April 5, 1939 - April 10, 2024) I just looked up the professor....he just recently died.... RIP 🙏🏽

[@Stickman_Productions]

I will never see derivatives the same way again.

[@Stickman_Productions]

Well, at least I found an answer to my question: why do the equation for derivatives and antiderivatives exist

[@werds1392]

It’s amusing to me that the crank on the machine is shaped like a cross

[@dharmendraagrawal9697]

Amazing...

[@mnada72]

25:05 I didn't understand what Eisenstein meant , can anybody help ?

[@user-cl3mp5ey2t]

He goes on to say that what Einstein meant was that he had been treating mathematics like a physicist, as solely a tool to accomplish a goal, but the beauty of mathematicians is that they attempt to make a thought so succinct and carefully formed that it is always true.

[@universocalculado4639]

Se y = mx + b então dy / dx = m , se y = sen x então dy / dx = cos x , se y = cos x então dy / dx = - sen x , d( y + z ) / dx = dy / dx + dz / dx , d(yz) / dx = y dz / dx + z dy / dx , dx^n / dx = nx^n - 1 , dy / dt = dy / dx . dx / dt . Pelo que entendi é só usar essas regras ? ou tem algo mais ?

[@German1184]

Colega, não sei que idade vc tem, mas recomendaria vc estudar dois ou três livros de Cálculo. Ajuda muito saber Cálculo antes entrar na graduação.

[@beoptimistic5853]

kzbin.info/www/bejne/joGmmHqKbqefqLM 👍💐💐💐

[@physigami]

very cool

[@roberttelarket4934]

Where the hell is episode 2?

[@Pelicanarecool]

you can research it the KZbin channel is a playlist

[@ggbin8092]

since 1985?!!

[@mikecartermulcy]

Did a mathematician just call physicists arrogant, or is a modest physicist trying to act like a lowly mathematician? (Save u time, 25:43)

[@sivakumar-oh2if]

At 18:47 CHANGE IN AREA EXPRESSED WRONGLY THE CORRECT ANSWER IS CA=CL*B+CB*L-CB*CL U CAN CHECK IT BY YOUR SELF

[@GaurangAgrawal0]

Yeah that's what I've been thinking the whole time. I thought I might be wrong. 😅

[@Yousof2044]

Technically you are correct. But the expression you wrote at the end is negligible. When the change is very small, CB*CL is much much smaller than the other two terms. This is why it gets omitted.

[@Yousof2044]

Also it's +CB*CL not -CB*CL to correct your expression.

[@whatthehey4046]

could any one tell me what is the word the man said at 11:10 ...> connet the two points with a straigt line. that line is called what??

[@narutosaga12]

it's formally called a 'secant line'

[@shadowdog500]

“As used in mathematics, the word chord refers to a straight line drawn between two points on a circle (or more generally, on any curve)”. www2.clarku.edu/~djoyce/trig/chords.html

[@roger72715]

It's a chord

[@roberttelarket4934]

He says chord but the correct word should be secant!

[@YouTube_HQ]

Applewood anyone?

[@davidporowski9512]

Like & Subscribe GR8 Review, Thanks,

[@liamhoward2208]

17:00 munchkin on a butt. Oh...the good ole days. When you could show people smoking in an educational video! Just gives you an intuition for how sanitized our society has become

[@carlasouza5194]

Prof Goodstein has 82 yo today... he worked with Condensed Matter Physics.... so cooll

[@ulisesfonseca7937]

Wow

[@421sap]

In Jesus' Name, Amen. G-d bless you ✨

[@___xyz___]

8:56 "fuck the system"

[@universocalculado4639]

Se y = mx + b então dy / dx = m , se y = sen x então dy / dx = cos x , se y = cos x então dy / dx = - sen x , d( y + z ) / dx = dy / dx + dz / dx , d(yz) / dx = y dz / dx + z dy / dx , dx^n / dx = nx^n - 1 , dy / dt = dy / dx . dx / dt . Pelo que entendi é só usar essas regras ? ou tem algo mais ?