I never "got" maths until I discovered calculus, and now I'm hooked
@tirthampal89426 жыл бұрын
Wow
@patriciaa42606 жыл бұрын
how
@dusathemaid5 жыл бұрын
now
@Ggd075 жыл бұрын
bow
@fluxpistol36085 жыл бұрын
Same
@j.c.12775 жыл бұрын
In one min and 53 seconds you explained calculus better than any teacher I ever had.
@subscribefornoreason5425 жыл бұрын
If you have more time .....watch Eddie woo's channel.
@Hi_Brien4 жыл бұрын
I mean, better than the teacher I've never had. Calc is hard when the textbook is your only teacher, and then you got all your other classes thrown at you.
@shashank.s14923 жыл бұрын
They themselves don't know what will they explain you that's the problem with our system 😔😔😭😭
@zBPS Жыл бұрын
@Rudraksha Dwivedi It is your fault you were no able to learn grammar
@kiky7968 Жыл бұрын
@Rudraksha Dwivedi guess you're still typing in anger 1 year later then...
@Victor-tl4dk Жыл бұрын
3:59 I love that you point this out. I've found that a big problem in learning is intimidation. A lot of the concepts are extremely simple and intuitive once you know the vocab. And anything can be broken into easier parts.
@yichern43515 жыл бұрын
3:19 Never forget to +C
@5t3v3n123432114 жыл бұрын
Peter Bergmann unless ur dealing w a definite integral
@revenger2114 жыл бұрын
@@elenildodossantos8629 I see you're a fellow man of culture
@lilygurllovemuzic4 жыл бұрын
the bane of my existence in calc one was forgetting the constant
@harsh95584 жыл бұрын
My maths sir cut 1 marks for it last year😓
@coleabrahams93314 жыл бұрын
I’m in school and I’m learning calculus. We have never simply been given formulas to memorize but rather focus on understanding how the formulas are derived
@thasleeena99782 жыл бұрын
that's actually really cool because in our school all we have to do is memorize and none of us know what calculus actually is
@rexroyulada6267 Жыл бұрын
That's how schools are supposed to do (Which, unfortunately, doesn't do often)
@3dsaulgoodman Жыл бұрын
I'm currently in 11th grade, my math teacher is simply the best teacher that has ever taught me, but unfortunately, since she had focused a lot on lessons before calculus like functions, and had spent a long time to teach it to us, we barely, and I mean barely, were able to finish the book right before the finals, so yes, she did breifly explain what calculus is, but still I couldn't understand from just two lessons, and today as I'm writing this, I'm actually having that exam about two hours later, and I don't know what to hope for, I'm actually pretty good at math, but pretty bad at memorizing, so calculus is gonna be a big pebble in my shoe!
@katie-mz6si11 ай бұрын
@@3dsaulgoodmanhow did it go? I hope you did well
@MenyeMC9 ай бұрын
we are cramming the stuff o'er here -_-
@sanalalemci6 жыл бұрын
First time I am watching a video of yours. I have to say the quality is simply amazing. No silly background noise or music, no rush, no unnecessary crap. Just what people need in a smooth voice and language with a great quality video. Keep up the great job man!
@cup_check_official6 жыл бұрын
Calculus, what is it good for? Good for lowering my gpa...
@androidkenobi6 жыл бұрын
at what rate tho?
@ms-zr5fz6 жыл бұрын
He skipped class to know that.
@awkweird_panda6 жыл бұрын
well thats not good at all.
@douglasmuthamia7736 жыл бұрын
Software Man 0great
@RAndrewNeal6 жыл бұрын
Absolutely nothing, sing it again! lol (
@tear7286 жыл бұрын
Taught myself a decent amount of calculus 1 and 2 during the fall. Really an amazing topic to dive into; incredibly useful. I think linear algebra is also as mind blowing, just in a different way.
@bealu945910 ай бұрын
after finding the slope(m) and the intercept(b) and graphing that is there more to linear algebra
@devpoodle10 ай бұрын
@@bealu9459despite its name, linear algebra doesn’t have anything to do with graphing lines. it’s mainly about two things: vectors and matrices. Vectors are like a fancy way of storing coordinates. And matrices are a way of representing certain transformations you can do to those coordinates. linear algebra has a ton of fun applications, so I’d really recommend you learn more about it.
@gwho Жыл бұрын
this video actutally expaining what calculus, differentiation, integration IS and how it's basically slope and sum of curved functions is SO much clearer, less stressful, and is better for deeper understanding in a shorter amount of time than the confusing non-explanations in school class with stress homework, reading difficultly worded textbooks, spending so much time on an example that doesn't make sense to try to extract the core concept of calculus.
@prashantdubey94304 жыл бұрын
we need more teachers and professors like u who know what they talking about
@ronielvaldez60096 жыл бұрын
Your video popped up on my feed literally when I checked KZbin after taking my integration test. All of you're saying is amazingly simple but true (which is something really hard to achieve) and made me love Calculus even more. Keep up the good work
@ritaprasad92486 жыл бұрын
Calculus is easy to understand, but hard af to master.
@erichuddleston46116 жыл бұрын
Sushant Prasad preach
@awesometico6 жыл бұрын
When you're at calculus 1 the hardest thing is the algebra but once you get to cal 2 and other classes that have integration techniques you realize integrals can be a bish
@96nikecha6 жыл бұрын
Either you are brilliant or you don't really know what calculus is.
@robertmelvin79086 жыл бұрын
Really? You need a good teacher and a good reference book. In my first year of calculus we had neither; anything above 40% was considered an A, and that was 40 years ago. Ironically that did not stop me. Over the years I too have come to the belief that calculus can be easy with the correct resources.
@tianhaowang50126 жыл бұрын
That's so true!!!!
@Smiles_McGeee5 жыл бұрын
Bro that first minute blew my mind. I need to start applying what I know in one area and apply it to other areas of my life
@mariana_reads4 жыл бұрын
The most interesting college course I have had so far, I got 15/20 on my first exam because I was lazy on that day, 20/20 on my last exam which include the whole theory the professor taught during the semester. I give credits to my calculus teacher, she was one of the best math professors I’ve had and she made sure she gave us real scenario problems to solve in order to truly learn and understand the theory.
@kevin_delaney6 жыл бұрын
I haven't watched this yet, I certainly look forward to any and all of the content you post. I thought I'd never use Calculus, or Trigonometry (which is kind of REALLY important in many areas of calculus, wish I discovered that sooner) in high school because none of my teachers really knew how to apply it outside of teaching, or at least few gave real-world examples if they did. I took an interest in additive manufacturing, electronics, and robotics. Computer Science in general interests me personally, so AI in general of course, but that tends to use more linear algebra in my own personal experience. In 3D printing and robotics, a common "tuning" algorithm is PID feedback loop. A Proportional-Integral-Derivative control loop is used to "tune" Servo motors (brushless AC and DC multi-pole, multi-phase motors, not the cheap DC three word RC 'servos') as well as heaters, fluid pumps, fans, and a ridiculous amount of applications in many different industries. It is a relatively simple control algorithm that gets fantastic results after a few cycles and really improves efficiency and reduces error. Another use I've come across is how my 3D printer (running with a Duet 2 controller with dc42's fork of Reprapfirmware, an OSH and OSS project) auto calibrates itself using a "root mean square" algorithm after probing the print bed. Had I known how useful some of these concepts were in computer science and robotics, I would have paid MUCH better attention in high school. I was never exposed to it as a kid. Not only is your content educational and high-quality (as far as editing and scripting is concerned) but it is also [high-quality education]. Being 25 years old, I can assure you and anyone else that education, especially in America, is not always high-quality. That cannot go unnoticed, I find tremendous value in the content you post and only wish you uploaded content more frequently.
@domainofscience6 жыл бұрын
Thanks for that Kevin, much appreciated.
@15october916 жыл бұрын
Holly crap it’s taken me longer to read this comment then the length of the video. LOL
@SouravTechLabs6 жыл бұрын
Yes this video motivated me as well to learn calculus. I'm too, a student of Computer Science. I've keen interest in programming. But without calculus, as far as I'm concerned of, my journey will end one day. I've to teach calculus myself. I don't care about the grade I got in maths. But really, our professors don't know how to teach maths. Thus, this channel is my inspiration.
@kevin_delaney6 жыл бұрын
Sourav Goswami Have you ever heard of Khan Academy? The Domain of Science's channel is not so much about specifics, although he does indeed give some fantastic examples and simplifies it to an easy to understand, far less intimidating, and potentially enjoyable subject. For him to legitimately teach some of these subjects would require much longer videos. He seems well-educated enough, I am unsure if he will take it that far. I am working, so perhaps this video is more in-depth, I don't know. Nevertheless, EdX, MiT Open-Courseware, and specifically Khan Academy should be more than enough for you for now. Really look at Khan Academy, I cannot stress that enough. You could legitimately replace school with the amount of education that is in there.
@SouravTechLabs6 жыл бұрын
Kevin Delaney I love Khan Academy, and of course I see other KZbin channels as well... Thank you for the suggestion you gave me... I will try to see more...
@ShawwwHa6 жыл бұрын
This is by far the best! Video I've seen on the topic. You have no idea how much your explanation has helped me see the connection between what I'm learning and how it's applied. I'm beginning to realize why many see math as an art. A million thanks to you sir!
@derlinclaire17785 жыл бұрын
In some natural science applications,Calculus can be used to quantify the rates of change in some natural processes.
@adrianhalvorsen70134 жыл бұрын
used it yesterday. the calculate the time something takes to cool down in temperature. if a glass of water is 21celsius and is going to cool to 20celsius in a 10 celsius room. the difference in temperature between the glass will change as the glass cools down. so its rate of change will be smaller. here we used integrals and differential equations
@flywittzbeats4008 Жыл бұрын
You are the epitome of Einsteins quote, “if you cannot explain it simply you do not know it well yourself” ❤❤
@fernautilus98636 жыл бұрын
I also love 3blue1brown, and I can't wait to become a physics wizard like you!
@15october916 жыл бұрын
fefe he’s great!
@azrafrahman84565 жыл бұрын
Physics Wizard more Like, Physics Scientist.
@kinghados5 жыл бұрын
Wish I had this explanation from my teacher at school, so easy to understand now
@dracula3997 Жыл бұрын
The love and appreciation Isaac Newton must've had for physics and mathematics is absolutely astonishing,what a brilliant dude.
@Vk-gv3sc6 жыл бұрын
Been waiting for ages for your videos.
@domainofscience6 жыл бұрын
Thanks, and apologies I have had a deadline to hit on writing the next Prof Astro Cat book, which delayed my video production. But on the plus side I'll definitely have the next few videos out quicker, one more this month at least.
@IM-wc5eh6 жыл бұрын
And are you going to make also map video's?
@domainofscience6 жыл бұрын
Yes but not as frequently because they take so long to make. I'm planning on making several videos like this in a row and then a map video every so often.
@AA-ge6vo6 жыл бұрын
It's worth the wait
@内田ガネーシュ6 жыл бұрын
Ninjas need calculus too. How will they explain it to their children. Magic?!! uuhumm I don’t think so...
@bimanh.saikia66006 жыл бұрын
Sir please start a series for teaching integration and differentiation..
@hrckhm6 жыл бұрын
3blue1brown has a series
@hrckhm6 жыл бұрын
Its Wednesday my dudes preach
@subhamtigrania83616 жыл бұрын
Check out Professor Leonard's Series it is amazing
@restitutororbis9646 жыл бұрын
Its Wednesday my dudes Integration is by far the hardest part of calculus, and that is because its super mysterious. When do you use integration by parts, when do you use trig sub? Can you use both at the same time? These questions make integration harder than any other calculus topic.
@agustinusbravy64596 жыл бұрын
The Gaming Army Generally you use integration by parts when there's a product of two functions that are not all polynomials. For example ln(x)*sin(x). If you're confused just ask yourself "what is the derivative counterpart to this method of integration?" For example the integration by parts above is derived from the product rule, so it must involve multiplication that cannot be solved by other rules
@tanndlin11845 жыл бұрын
I had no idea that KE was the integral of Momentum
@jeerdace86254 жыл бұрын
DaStormBringa And force is the derivative of momentum.
@Jorji_FCS4 жыл бұрын
Only in systems that the mass doesn't variates
@yiumyoumsan69974 жыл бұрын
You can literally found many physics equations that were derived from calculus.
@chewinggum55503 жыл бұрын
KE is the integral of momentum WITH RESPECT TO VELOCITY .... u gotta mention that and know that here, Mass does not varry........... Here’s my question if someone know, is there something like integral of KE with respect to Variable Mass, when velocity is constant ?
@zoeyxu74783 жыл бұрын
The math series from “how does it tick” also goes over the history mathematics - the story for math deserves some glamour too!
@robertmelvin79086 жыл бұрын
I can't recall ever seeing the triangle method as an approach to demonstrate the derivative - I like it.
@darkmage40502 жыл бұрын
this gets me excited for university! lol will be a chemistry major and can kind of tell that calculus will be used a lot in something like kinetics or physical chemistry probably other things that i don't know of yet which is exciting to be honest!
@pubuduweerakoon71745 жыл бұрын
This video is highly significant for the learners learning Physics in a philosophical aspect. Thanks.
@enoshsubba58755 жыл бұрын
Calculus is hard. Real Analysis : Hold my Beer Topology : Hold my Mathematics
@yusufabubakar31125 жыл бұрын
Enosh Subba REAL ANALYSIS😡😡
@heavenstomurgatroyd70335 жыл бұрын
Enosh Subba why do millennials all follow stupid speech patterns like sheep?
@trevorphilips93995 жыл бұрын
@Another Random Cuber r/iamverysmart
@gauravproton19565 жыл бұрын
π : am I joke to you?
@stungun04 жыл бұрын
Heavens to Murgatroyd Ok boomer
@kennithlambert2563 Жыл бұрын
I'm a retired electrician and I wasn't really that good with math but I learned trigonometry in reverse by learning to bend conduit by using the 30, 45 , 60 degree offsets and 90 degree stub up . The UGLY book was helpful in learning trig ratios and 6 trig functions by remembering Oh Hell Another Hour of Andy. I find the unit circle a really good method for learning trig and I still have fun drawing it to visualize the beauty in the patterns and repetition as it changes from one quadrant to the other. It lifted my confidence a lot so now I dabble with light calculus and find projectile motion very interesting. At 64 yo I find algebra more difficult to grasp than trig but that's just me. Any way thanks for your video.
@picknikbasket6 жыл бұрын
These are some of the best science and math videos on KZbin. Great job, Dominic!
@noisytube58066 жыл бұрын
: “The secret of getting ahead is gettingstarted
@WildmanYino4 жыл бұрын
Not the normal type of video I watch but liked and subbed because I love that your spreading information keep it up man I respect all teachers
@janibeg32475 жыл бұрын
I took a year of calculus in college and a year of statistics. Over the next 40 years i rarely used calculus but did use statistics - life sciences.
@afriendofafriend57664 ай бұрын
As much as I hate *doing* calculus, I do greatly appreciate taking the time to understand it.
@theresa58x3 жыл бұрын
Here I am in my mid-sixties and retired, and I always wanted to understand the use of calculus. I can't tell you how satisfying this is. Thank you very much.
@richardlinsley-hood71496 жыл бұрын
Nyquist taught us that the best way to derive the value of a curve was to take the value at the beginning of the sample and the value at the end of the sample and average them together to produce the best result. The finer the samples, the better the accuracy. The same holds for most/all of calculus too I think.
@possamei6 жыл бұрын
"what is it good for?" literally everything
@AruhiShah-x8v Жыл бұрын
This video is sooo nostalgic for me, I first watched it in class 9, when calculus was not in our syllabus. This video made me learn a bit of calculus in my own. Thank you very much.
@BlissOn476 жыл бұрын
A great video. I finally see the use of calculus! It brought out my interest for maths through physics
@zed48514 жыл бұрын
Dude why did not i watch this 2 year ago . This kind of explanation u wont expect from ur high school teachers.
@tekneiq6 жыл бұрын
Could you make a video describing the order in which different fields of math are related and what ordered they should be studied? (Should I study linear before discrete, what should I brush up on before going into calc 2, etc)
@kryptobash972811 күн бұрын
Its crazy because I thought I was so good at math in school, but as I got older I realized I did not understand it as much as I thought I did. I knew enough to get by and get great grades, but lacked the deeper understanding of why we are doing the calculations and how they apply to other things. I was failed in my education, but I will take it into my own hands now!
@eriktempelman20973 жыл бұрын
Great stuff! Suggestion: add the second differential i.e. curvature. It would add so much more, and needs not take a lot of time.
@PundrikUpadhyay5 жыл бұрын
like the way you explain, no hastiness and no hindering music. thanks for making it interesting.
@aal629765 жыл бұрын
How many of us could have ACTUALLY UNDERSTOOD calculus if the education system had bothered to teach us some of this. I'd have rathr not gotten so far in math and more thoroughly understood what we did. This is what we need. Thanks for the video!
@JavedKhan-lx2gz Жыл бұрын
Excellent presentation I come across on integration & differentiation. We learned at school but never were told why we do integration & differentiation. In school we had to just solve an equation involving integration (single, double or triple) and differentiation (full or partial). Both are very interesting specially when you try to convert these equations into linear system of equations and solve them by forming matrices and solving it using certain boundary equations. I hope you hv such vlogs at an advance level e.g. solving an electromechanical problem using finite element method,
@2TheAbbeyClinic6 жыл бұрын
The plays of Shakespeare, the symphonies of Beethoven, the art of Renaissance Italy, these are the highest points of our culture, and calculus fits right in among them. Brilliant. Beautiful, Powerful. I often think, "Here I am struggling to understand calculus, and these guys freakin' invented it, using quill pens and candlelight."
@daveherbert62155 жыл бұрын
Great video, keep up the good work. I was not taught calculus at school, I did not know that it even resisted, but I have been fascinated even since I discovered it. A really brilliant explanation
@colinmccarthy79215 жыл бұрын
The Question should be,What is Calculus not good for? When you have the answer to that Question,you will then know,what is Calculus good for. The Alpha is the Omega.
@nanettetablizo56825 жыл бұрын
Feeding you :D
@Avant-garde16116 ай бұрын
This is so fascinating to watch. Really maths is beautiful.
@nuwang23814 жыл бұрын
I NEVER UNDERSTOOD THE EQUATION FOR KENETIC ENERGY AND YOUR TELLING ME I DIDN'T UNDEESTNSD BECUSE NO ONE TAUGHT AS MOMENTUM IN GR 11
@canyadigit62744 жыл бұрын
I love your channel. I’m gonna start formally learning calculus thanks to you
@pranjalvw2193 Жыл бұрын
Bad thing about calculus is that not everyone knows its application....
@hansulrichjohner26943 жыл бұрын
Another job was in a gun propellant factory, I was the only physicist under a lot of chemists. The chemists new some of the physical laws but not the details. For instance, the combustion speeds of propellant is expressed as v = beta * p^alpha as physicist it is obvious that this is the differential equation for an exponential v proportional to dp/dt = beta * p^alpha, I wondered why do these guns not explode but then learned, that this was the art of judging the size of the propellant grains so that the bullet has enough time to start to move. As most of the exponents are integers or brocken integers and alpha was close to one, so I told the chemists to put it to one, in addition this gave a very, very simple linear expression to calculate the first approximation for the propellant dimensions involving only the velocity and weight of the bullet, both known very precisely. I later read in a defence book, that actually alpha is equal to one above pressures of around 300 bars compared to 3000 to 7000 bars of peak pressure, so it was a good approximation.
@sutapasbhattacharya94715 жыл бұрын
Did you know that Calculus was invented in India centuries before Newton - in fact, most of what the modern West called Modern Mathematics 500 years ago was Ancient Indian Maths. Arithmetic is the Indian Decimal Place-Value Number System with Zero - which Cambridge profesor John Barrow wrote is the greatest intellectual invention ever made by humans. When this Indian system reached medieval Italy [Leonardo of Pisa translated Al Khwarizmi's Arab translations of Indian works], people paid to watch mathematicians do calculations such as 27 x 14 in their heads at fairs - prior to this system, doing long calculations was much more complicated and error-prone. Laplace wrote that we do not appreciate the genius of the Indian Number System as it is so simple, yet it was beyond the abilities of the greatest Greek mathematicians, Archimedes and Apollonius. Back in 1817, Henry Colebrooke showed that modern Algebra is derived from the ancient Indian Algebra (bijaganita). The Persian Al Khwarizmi who translated Indian Arithmetic into Arabic also translated Indian Astronomy texts which utilized the Indian bijaganita. Colebrooke pointed out that the Greeks inherited Babylonian Algebra and did not make much improvements on it. Late on in the Greek world (4th Century c.e.) Diophantus did develop algebra somwhat but the Indian Algebra was far more sophisticated and advanced than the work of Diophantus. Modern Trigonometry owes much to the work of Indian Aryabhatta known as the Aryabhatiya (499 c.e.)which also contained a heliocentric model of the solar system and was translated into Greek and Latin centuries before Copernicus. Of course Aristiarchus of Samos had proposed heliocentrism long before Aryabhatta - but note the mythology surrounding Copernicus. Even Calculus originated in India centuries before Newton and Leibniz - see theconversation.com/five-ways-ancient-india-changed-the-world-with-maths-84332
@sutapasbhattacharya94715 жыл бұрын
@cmiller8492 LOL -In your little mind perhaps. Just because you have not heard of it does not mean that no one else has. Eurocentric Westerners hide this stuff but educated people have heard of it! And you use the word 'meaning' as if only what is known to you is meaningful to others! The Iberian Voyages of Discovery used Indian Astronomy inherited from the Moors for navigation [Nothing important indeed to your racist mind]. Astronomical questions supposedly resolved first by the likes of Tycho Brahe etc. had already been solved by Indian astronomers. The so called 'Fibonacci Series' [named after Leonardo Bonacci of Pisa] and other such maths, supposedly discovered in Europe was well known in Ancient India. In the 18th Century, French astronomer Bailly and Scot Playfair showed that the ancient Brahman Astronomy was just as good for practical purposes [predicting eclipses etc.] as the latest Western work of Cassini. As US mathematician Charles Seife stated in his 'Zero'; the mathematical Physics of Descartes and Newton would have been impossible without Indian Mathematics especially the Zero! The Westerners have peddled colonial myths that the rise of Science was due to Greek knowledge. In fact Colonial Westerners concocted their racist Classics and the myth of the Greek Miracle in Science and Philosophy falsely presenting Shamans such as Pythagoras, Empedocles and Parmenides and mystics such as Democritus and Heraclitus as if they were somehow 'scientists'. In fact most Greek Philosophy was no different from mystical Oriental Philosophies [Plato's philosophia meant Love of the Light of Cosmic Wisdom - or seeking Divine Illumination/Enlightenment] and, as numerous scholars have shown, all the elements of Miletian Monism were already well-established in Indian philosophy, Empedocles' '4 elements' were copied from older Indian versions which are actually more in tune with modern Physics than his etc. I myself have identified the physical correlate of what Plato called 'Sophia' - the Inner Light with the brainwaves of the Reticular Activating System - demonstrating the scientific basis of Ancient Yogic knowledge of Consciousness [www.sutapas.com ] In fact the Hindu Nyaya Logic surpassed all formal logic in the West until the work of George Boole in the 19th Century. Robert Oppenheimer wrote that ancient Indian logician Dignaga resolved logic problesm which stumped Frege and Russell in the 20th Century. Panini's ancient Sanskrit Grammar inspired the development of Linguistics in Europe. BTW - if you are British - you probably don't know that as late as the 1790s English experts pronounced Indian wootz steel to be the best in the world and the English copied its techniques. Note that the Brits looted $45 Trillion (£36 Trillion) from India and this loot financed the Industrial Revolution as well as much other Western development whilst killing tens of millions of Indians as they also looted India's foodgrains: www.express.co.uk/news/world/1059012/india-news-bombshell-how-british-empire-stole-36trillion-from-india-lied-spt www.aljazeera.com/indepth/opinion/britain-stole-45-trillion-india-181206124830851.html As H.H. Wilson wrote in 1853, the likes of Manchester could not have risen - not even with steam power - had the British not systematically destroyed the competition from Indian textiles which were both cheaper and superior in quality - this included breaking the fingers and cutting the thumbs off Indian weavers.
@sutapasbhattacharya94715 жыл бұрын
@cmiller8492 LOL Again - Great logical thinking from you there - that development is correlated with the use of Calculus! Oh- I bow to your 'genius' - and your deluded claims to argue with facts! Who except for you is claiming such absurd things! I was responding to your claim that Ancient Indians were not advanced - and showed you that, relative to Ancient and medieval Europeans, they were advanced. Note also that Hindu India was invaded by Muslims from 1200 c.e. and again by the Mughals in 1515 and this led to decline in Indian scientific achievements. But even in 1616 English Ambassador Thomas Roe described Delhi as the Treasury of the World - and the British takeover of India was motivated by the silver drain [much of the gold and silver looted by Europeans from the Americas ended up in India] due to India's world-dominant textiles industry, spices etc. So how comes France which was widely recognized as the world's leading scientific nation in the 18th Century - doing all the decimal/metric standardization and producing the greatest scientists of the era - did not industrialize as discussed in famous works such as Musson and Robinson's 'Science and Technology in the Industrial Revolution'. How comes Egypt was the 2nd most industrialized country in the 1830s - it was not a scientific nation? What about the fact that in the 1840s Paraguay became the first industrial and the richest nation in Latin America but, as this threatened Britain's exports, Britain funded an invasion by Brazil and Argentina which killed 5/6 of the Paraguayans, seized some of its territory and stopped further industrialization [see 'Open Veins of Latin America' by Eduardo Galeano]. It is Politics [not Calculus!!!!] that determines industrial development. The fact that Britain industrialized first had to do with numerous non-scientific factors such as lack of wood due to shipbuilding and the need for coal and numerous other historical accidents! If you bother to read the links I sent about how Britain stole $45 Trillion from India, you will also find that the Industrial Revolution depended upon the massive surplus capital that Britain attained from looting India [prior to this loot and the opium peddling to China, the Atlantic Slave Trade was Britain's biggest earner]. As also indicated, even after the Industrial Revolution started, in the 1790s English experts pronounced wootz steel the best in the world. The fact was that Britain undertook a policy of systematic deindustrialization and plantationization of India to turn it into a source of raw materials. The oldest seaworthy ship in the Royal Navy is HMS Trincomalee in Hartlepool - built by Indian shipbuilders in Bombay in 1817 - and built of hardwood teak so it was superior to British oak. British shipbuilders lobbied Parliament to prevent shipbuilding in India, just as with textile industrialization and other industries. It was only with the 1914-18 Great War in Europe that Britain eased some of its deliberate deindustrialization policies. BTW, I have lived in Britain since 1967 and it is amusing to see how Britain has declined over this period - without the loot from the empire. In the meantime India has risen economically and is currently about to overtake Britain in nominal GDP - and by 2030 will become the 3rd largest economy. By 2050 things will be returning to historical normalcy with India and China probably as the top two economies as they have been for millennia - with the newcomer the USA also a contender.
@Crimsonfireball4 жыл бұрын
That sure makes you D so big now does it? Good for you.
@sutapasbhattacharya94714 жыл бұрын
@@Crimsonfireball I know right - winding up people like you makes 'me D' even bigger!
@Crimsonfireball4 жыл бұрын
@@sutapasbhattacharya9471 Dont take other people accomplishment as your own tho. Your just a loser to me
@NickyNustar5 ай бұрын
I missed out on calculus in a good education. Thank you for being interesting, erudite and well spoken.
@Themagiciangr5 жыл бұрын
In my country we learn calculus at high school math
@redyoutubelover36175 жыл бұрын
Samee
@SiWaZ5 жыл бұрын
Same
@bernd86085 жыл бұрын
Same
@dibbidydoo43185 жыл бұрын
Which country is that? and what grade? 12th grade or 9th grade.
@tinmuffin27385 жыл бұрын
Asia?
@rodnattrass70216 жыл бұрын
Thank you so much for finally explaining to me what the actual thing was that we were supposed to be calculating . Had you been my first year calculus teacher my life would have been very different.
@michaelproctor81005 жыл бұрын
If you want to be a fighter pilot you have to know advanced calculus. The irony is that you will probably never use it unless your onboard computer goes down.
@ΧρήστοςΝικολόπουλος-ψ3θ4 жыл бұрын
QUINDI RFFCGGGBHHGXZZFGFFDDOKK
@maurirodriguez87533 жыл бұрын
So what? You do the calculus while you're flying and under enemy fire?
@michaelproctor81003 жыл бұрын
@@maurirodriguez8753 Your the reason why Trump built the wall.
@devinotero17983 жыл бұрын
@@michaelproctor8100 lmao you have no idea what youre talking about
@adilmohammed68973 жыл бұрын
Ha ha fenny fellow
@HunterBelkiran6 жыл бұрын
I took calculus in college, but before that, I had never taken pre-calculus. After talking with some people, they told me that pre-cal wasn't really necessarily a prerequisite for calculus, which I found odd. Anyways, it was an interesting class. I actually began to enjoy finding derivatives, but determining limits confused me a bit. It'd be so amazing to gain a mastery of calculus. I never continued with it past just the very basics, but maybe someday I will.
@pdes_5 жыл бұрын
Precalc is essentially a recap of Algebra two and trigonometry. When doing calculus on trig it is beneficial to understand how trig works.
@BangMaster965 жыл бұрын
I am just wondering, say there is an alien civilization just as advanced as us, what kind of mathematical concepts did they invent to describe the universe. Do you think their math would be similar to our math, but just with different symbols for representing numbers, addition, subtraction, multiplication, and division. Or, they have invented some new form of arithmetic and a different way of doing the same thing calculus does.
@anaccountmusthaveaname91104 жыл бұрын
A lot of mathematics arise quite naturally from simple concepts, so I believe that aliens would have similar ideas behind their mathematics. Of course the way of representing those ideas could be very different. Also, a civilization could not be as advanced as us without knowing quite a lot of mathematics.
@raghavmundra2006 Жыл бұрын
Sir you gave words to my feeling at 5:42
@kcwidman6 жыл бұрын
You didn’t explain how we know the integral of momentum with respect to velocity is Kinetic Energy. You explained how you got the equation, and I get that, but how do we know it’s for KE?
@bumpty98306 жыл бұрын
To show that in full generality would take a long series of videos. You can get some insight from an example problem, though. The most important feature of energy is that it's conserved (in many systems). If we start with an example system, say a weight of mass *m* on a spring of stiffness *k*. The motion of the simple system could be, with a particular starting condition, x=x0 cos[sqrt(k/m) t]. This described a simple oscillating motion, the frequency depending on the spring stiffness and mass. If you calculate the kinetic energy of this system [1/2 m (dx/dt)^2], you'll see that it varies with time. If you calculate the potential energy of the system [1/2 k x^2] you'll find that it also varies with time. The sum of the two, though, does not change with time. In other words, it is conserved. This fact (more or less) justifies calling these two quantities "energies." And, of course, you can verify that the derivative of kinetic energy with respect to the velocity (= dx/dt) is, indeed, *m v*. If you want a totally general answer to this question, you can study up on Lagrangian mechanics. Fair warning, though, this view of things is much more abstract, and also requires comfort with calculus.
@LongNguyen-pv9sm6 жыл бұрын
you can deduct that using the original equation, the slope is dy/dx and integral, in the simplest term, is y * x (the area under) it's an established fact that Momentum * Velocity = Kinetic Energy so in the graph of Momentum vs Velocity, if you find the integral (y * x) you get the Kinetic energy it's not the exact explanation, but it serve well as a visualization
@Earwaxfire9094 жыл бұрын
Conservation laws are the reasons why we forge these equations. Conserved properties like momentum and energy allow prediction and their meaning is derived from that. "Super kinetic energy" might be valuable if it is conserved in a reaction. Emmy Noether showed that symmetry gives rise to conservation properties. So there would need to be a symmetry condition to make that so.
@hsharma39335 жыл бұрын
Momentum, p, is lowercase. Uppercase P is pressure.
@imthedarknight-87554 жыл бұрын
H Sharma and curvy p is density
@hsharma39334 жыл бұрын
IMTHEDARKNIGHT - thats Greek rho
@zoeyxu74783 жыл бұрын
I appreciate this channel. It’s always nice to know why I’m doing something before I do it… feeling very excited to learn Calculus now!
@RamadaArtist5 жыл бұрын
I honestly think they should start teaching calculus a lot younger, and with a more conceptual basis to prepare students for the technical hard bits, so that most people should at least have a handle on it by the end of high school. Because the degree to which people (or, I guess, from my experience, Americans) don't understand calculus is a TRAVESTY, and so many things in every day life would be easier if people thought about them in calculus terms instead of arithmetic terms.
@quantumsoul34955 жыл бұрын
Why would they want to make people smart? Population os supposed to be a bunch of sheeps. Ot's why education sucks. Thanksfully, there is Internet where there is a lot of websites to learn everuthing like math and programming.
@nicolaskoukoutsis85625 жыл бұрын
@@quantumsoul3495 Since you seem like a person who wants to learn and become better, it is thankfully not thanksfully and everything is with a y not u but i guess that one is just a typo.
@quantumsoul34955 жыл бұрын
@@nicolaskoukoutsis8562 thanks
@sarthakbajaj92345 жыл бұрын
In india, we learn to do advanced calculus in high school
@quantumsoul34955 жыл бұрын
@Another Random Cuber It depends, it's the only true way to learn programming and khanacademy is actually quite efficient for math
@tristanmoller94985 жыл бұрын
Please teach us calculus! Or anything for that matter, I’d listen every day!
@Nemo-wc3yd5 жыл бұрын
You start learning calculus in university ? I was taught in the 11th grade .
@karolina6475 жыл бұрын
Omg same. He got me confused ;__;
@arush67785 жыл бұрын
You are also asian i assume
@karolina6475 жыл бұрын
@@arush6778 nah eastern European hahaha
@Astitva5 жыл бұрын
10th grade
@nightbot.23415 жыл бұрын
7th grade.Ye're all amateurs
@waltermaurel1693 Жыл бұрын
Not the 1st time I cross one of your videos... Besides being very instructive and practical teacher... you are beautiful, such a nice expression... I bet many would watch you while completely charmed in the classroom... I just had to say it... 🤗
@gracefool6 жыл бұрын
3Blue1Brown fans checking in :)
@saiavinash74326 жыл бұрын
I have the exact same reason as you as to why I chose physics as my career, cause it is so cool when you feel like a wizard with the the tools. But I think education system should start teaching calculus at earlier age than University to help them understand why physics is just amazing and why people should go for it, I think this is the reason for people not choosing scientific careers because they just thought it would be memorizing stuff but after they know this, they probably will make a better career choice than a SoundCloud rapper. In India, we start calculus at ages of 14. I think other countries should step up too if they are already not.
@StratosTitan6 жыл бұрын
Im more surprised you learned calculus at uni. I was taught calculus when I was 16 (through to 18). That was still part of mandatory education. Now Im at the first year of uni in an engineering degree and we started with a very brief recap of calculus (1-2 classes) and then we did Analysis for the rest of the semester. In the second semester we had linear algebra. Also when we had physics at school we were always taught the derivations of the equations so we would understand them toroughly. Anyhow, great video
@domainofscience6 жыл бұрын
That is great! You went to a good school. The UK system is a little different and we do '6th form college' ages 16-18 where you do learn calculus, but only if you take mathematics. So I did learn calculus before University, but only the derivations at University.
@justin602226 жыл бұрын
My high school didn't require calc or physics so my first 2 years of engineering were a bitch. You then get into your junior year and all you did algebra with short cuts to skip the calculus lol.
@kristiansagia56376 жыл бұрын
It brought back to me lovely memories of high school...It applies also to economy if you a cost function of x2 +3x +4 (just and example, the first derivative would be 2x +3 and the area between two points on the curve would be the total cost . Thank you for that memory
@peterxyz35416 жыл бұрын
Sadly, my mind does NOT "work that way", I have trouble learning calculus without applying to something real. You're right, the pathetic American school system doesn't have time to teach application of calculus, instead we get "just do the formula"...my mind need to connect it with something (the motion of stars). What's more sad, I'm MORE prone to use advance math on a daily basis than any of my classmate from high school due to the type of hobby I have (designing airplanes, foils and hulls). Today, I still don't get calculus and hoping someone can explain it in such a way that my mind can connect it with "getting things done" in my life.
@SneeuwPoesjes6 жыл бұрын
It's not only american education the same happends in western Europe. Even more sad was that half of the students on my school stopped their physics study at an university (which costs alot and takes away 1 full year of potential studying) after realising it was alot of math, because highschool fails to give a view of what physics is really about. About your calculus problem I think that 3blue1brown has an awesome way of explaning it (you prob tried already since it get mentioned by everyone), but I also like the channel 'Michel van Biezen' this guy has alot of videos where he explains not specific calculus but he uses it alot and explains why he does that , this guy really helped me.
@ubaidshah19106 жыл бұрын
I think youre just slow, keep trying. I guarantee if you spent 12 hours of honest study you would learn it to a great degree
@insearchofpeace21516 жыл бұрын
Hey, the country suffering most from unexplained Calculus is India.
@IWantToStayAtYourHouse6 жыл бұрын
Calculus is basically the rate of change. It basically plots out the gradient of a function. The basics are not that hard to understand.
@mohammedshoaib55086 жыл бұрын
this problem doesn't exist in India. here in india high level mathematics is taught at high school itself.
@elangovanramalingam9084Ай бұрын
I am 61 years old retired Mechanical Engineer from Chennai India.,i am still learning calculus as I like and dislike both.sometime very interesting and othertime frustrating., Indian has the knack of learning without understanding the basics., that is our education is all about.never ever had pictorial during our days but now lot of changes as many people write GRE or SAT ., keep it up my boy.,
@PreciseVids6 жыл бұрын
I'm thinking about civil engineering, will I have to do calculus?
@n00bie966 жыл бұрын
LegendofVII I dont know about you but I recommend learning calculus from now just in case. It wont hurt to learn besides you might change your mind about engineering
@superbros16906 жыл бұрын
Il be honest with you. I am a dumbass at math but I am still going for engineering. I am in Calc 2 now and its hell. The amount of understanding needed is crazy. Calc 1 is not hard compared to calc 2. Dont be afraid and dont let anyone tell you, you cant do it. Who cares if you fail calc 5 times, at the end you will get your degree and you will be the winner. If you want to succeed, first dont worry about money, but still be considerable about it.
@IizUname6 жыл бұрын
YUP
@IizUname6 жыл бұрын
I got an EE but honestly calculus is used in all engineering.
@evaggelosantypas51396 жыл бұрын
Hash you are goint to need a lot of math especially integrals derivatives matrixes ( or tensors ) and of course differntial equations
@mangosorbet8183 Жыл бұрын
This video explains much more clear than my uni professors
@buttergives82525 жыл бұрын
My brain clocked out at the 47th second
@wisdombro3162 жыл бұрын
Thanks, for introducing me to 3B1B, It changed everything.
@philamras37326 жыл бұрын
Calculus Huh, yeah What is it good for? Absolutely everything. say it again.
@twilightgaming40076 жыл бұрын
I've been looking for this equation the other day and uh THANK YOU FIRST FEW SECONDS!
@davidjin97135 жыл бұрын
By the way, the pronunciation for p in p=mv is wrong. P is actually the Greek alphabet which is pronounced as Rho.
@BoldOne87605 жыл бұрын
Either way you can use any letter under the sun. ρ is just the norm. You could use d for density if you want.
@hocuscantfocus53755 жыл бұрын
Man I think it's just P Rho denotes density And P momentum
@gilbertoraple15545 жыл бұрын
I'm a math teacher and i like to learn calculus. Thakyou it is very clear 😀 greetings from papua
@ev4rcroft6 жыл бұрын
Map of Engineering please!
@IizUname6 жыл бұрын
That map might be a little too big. Each branch of engineering has tons of subdivisions.
@nope1105 жыл бұрын
@Swarthy One that's a real train wreck of a comment
@illlanoize235 жыл бұрын
Good video some youtubers won’t shut the hell up and get carried away but this is all exactly what you need to hear
@Ricocase Жыл бұрын
Calculus isn't hard. It's just taught horribly. Many just regurgitate what sone dry teacher or book told them. Relate it to real life, then everyone will love calculus.
@ripplegaming73935 жыл бұрын
Ive done calculus at school. Easy to learn hard af to be good and get very confusing. But like coding, it take time to learn and you can master it.
@telemundoenthusiast98266 жыл бұрын
What is it good for? . . . . . . . . . . . . Absolutely everything (Except for my gpa)
@tan_ori2 жыл бұрын
Right, deriving physics equations you have memorized for years without knowing why is so satisfying
@agungwidi7995 жыл бұрын
...... absolutely NOTHING !!!! bam bam bam its just a song, chill
@crispi945 жыл бұрын
Got em! Lol
@jamesgroomes18126 жыл бұрын
I cant wait to get my niece a book of yours when she's a little older. get her it early. I feel this video is for me, all your videos. THE ABC'S OF CALCULUS byAngelo B. Mingarelli and I have half of ilya prigogines books, thermodynamic theory and textbooks, the calculus should help articulate these textbooks. To me I think a description of the basic 'physics tools' that every man should learn. I am a blacksmith and I make my own tools, so you resonated HF waves with that plumber analogy. Lets say I learn Calculus, now can I read therm, or do I next need some other math, like algebra, where does it end, how do I build a physics tool kit as a non physicist. Im trying my man, I appreciate you.
@quantumsoul34955 жыл бұрын
What age is her ?
@noisytube58066 жыл бұрын
: “The secret of getting ahead is gettingstarted
@bryanfuentes14524 жыл бұрын
i remember when i was in high school, at first I wasn't truly convinced that a derivative can compute the slope of a curve at any point...so i tried to prove it by manually computing, first select any x-value (X1) then get corresponding y-value (Y1) by plugging x to the function and solve y. Now you have 1st point (X1,Y1). To get a nearest point (X2,Y2) to my (X1,Y1) just do the same process but with X2=X1+0.01, then compute the slope of these two points. It will be approximately equal to the value of derivative at that point (X1,Y1).
@shis106 жыл бұрын
Awsome video
@jerrysun444 жыл бұрын
Great explanation, very easy to understand, thanks!
@ceskehry5 жыл бұрын
*YOU ARE GOOD FOR NOTHING!!* - Sincerely, Linear algebra
@serrocsc4 жыл бұрын
hold my 0/0
@JakeRichardsong Жыл бұрын
I never knew summing the vertical rectangles inside the space with the curved part is the integral. Thank you.
@spacecowboy26095 жыл бұрын
Not good for your mental health if you are bad at math.
@PracticeMakePerfectMuslim93 Жыл бұрын
this give memories revision in physic and additional mathemathic 😢