Calculus in a nutshell 

Is this hard? Are you in elementary perhaps? EDIT:- Yes Hate me. Sorry for being honest.

@@Kay_R by hardest, I mean like its really good

@@Kay_R yeah its hard

@@Kay_R Seems like you were in elementary English class, heyy. (Though I guess my joke doesn't work since the initial comment was slang, but still obvious enough for common sense and you to not be a smart ass.)

@@Kay_R you are slow

frr

factsss this just gave me a whole different perspective and view. i love when this happens.

And a life where you never learn anything new is frankly quite boring

haha. no

If only exams were not there

Me being an asian surrounded by millions of people who can do that: "I don't feel good Mr Stark"

A omori fan in the wild

@@leozarf they’re everywhere but only show they’re Omori fans once you do something stupid like: “Close”

Eh. Almost all slightly above average people can understand it.

@@kato_dsrdr well, at least in my country, it's not too common

That's elementary/middle school maths which helps you understand the high school/college maths which in turn applies in the real world.

I wish schools would adapt to the student's needs as opposed to students adapting to what the school needs. Tests and exams are fine, but when you're in 7th grade and life gets in the way and stunts your ability to learn, catching up is a nightmare as the school/teachers wont adapt to your needs. I used to excel in mathematics in elementary, I loved it. However, I did fall behind. I'm now in my senior year planning on redoing my last 2 years of high school after I graduate so I can get back into Math. Not everyone who has a desire to learn has the support needed for it, this can be Emotional or Academic support.

this is exactly what i feel! math is super fascinating and the fact that it's been so boxed into the premise of "school" and obligation that the first thing that would come up in one's mind when thinking about math is dread instead of wondrous interest just saddens me so much. i used to be the smart kid who could not do maths, and it frustrated me so much. like, days that had math in their schedules gave me so much anxiety, because i hated how i did not understand anything and how the teacher seemed to just be scrutinizing those who don't understand instead of actually helping them understand. but as i went into high school, i had different teachers, and i actually started to understand it. i realized soon enough that it was the way our education system administered such knowledge in that it kind of just spoon feeds processes and formulas without ever diving deeper into it. i feel like teachers should also understand this-that they should at least take their time to let these things marinate in our heads, because again they're so interesting and it's actually such a privilege to know of these discoveries. but then again it's mostly the way schools set such a rigid quota that it's just about reaching the quota instead of learning at this point. now, i try to help my classmates as much as i can when they're confused or struggling with math concepts, because i know how it feels to not understand. it just makes me so sad too how this knowledge is literally just a good teacher away; some people actually think that it's impossible to understand and love math, when in reality, it actually makes so much sense. it's literally everywhere, and it's actually so beautiful. i hope someday this will change and everyone would actually get to enjoy learning as much as i have come to.

@@Nabee_H you articulated what i've exactly been feeling about our school system :( the fact that it's students adapting to the schools' needs instead of the schools adapting to the needs of the students just makes it a point that education has quite literally become a mindless routine, and it's all somehow rooted in the greed for money: education became a business. and at the end of the day, what students get is exhaustion instead of comprehension and appreciation.

Nothing stopping you of applying math to real life.

Agreed! Too bad they stopped posting

@Niagara Falls Technician they is a pronoun..? and this voice can arguably be interpreted as a pretty gender-neutral voice, so they probably don't know the creator's gender. stop being stupid and edgy

@Niagara Falls Technician they don’t know if it’s a guy or girl so they said they, it’s that simple

@@mauve2483 True Ted-Ed is something else but they sre a media company, not a small youtube channel who usually do everything on their own :)

This is just basic visualization of calculus. Any teacher who teaches calculation gives the exact same examples to begin with.

3Blue1Brown, cannot recommend them enough!

Look up "physics for the birds" you'll love it.

(tangent) youtube feeds you what already eat, that can sometimes become an unhealthy spiral

The rate of change we see leaves us optimistic.

Are people on internet so uneducated that they think this is deep understanding of calculus? This is the example *every single teacher* gives to his/her students when he/she introduces calculus to them. This is literally just an introduction video for calculus

@@Warlord_Megatron A) Yes actually. B) My teacher didn't do this for me, which is too bad, because I otherwise liked her instruction style. C) It's still nice tho. Pleasant animation, color choices and sound design. I'm down to relearn math that way.

@@normanclatcher That's a questionable teaching style. Math can't be grasped just by mugging up operations and formulas. You need to understand how to apply them in scenarios as well.

Personally it wasn’t taught to me in such a way. Yes it’s a questionable teaching style, and people are as uneducated on the internet as they are in real life, and I’m one of them. You should look up more on how people learn maths. Pretty awfully, really. For me who’s a simple high school country student, I had to spend great effort, multiple hours to come to this simple « rate of change » concept show in this video,back then when I studied it for the first time, no matter how simple it now looks to me. In class no one seemed to give such a big deal about it tho. We don’t even realize that we don’t realize anything anymore. But , It’s that kind of videos which helped me out; simple yet fundamental: the core sense of maths I would say. They gave me answers for the questions I didn’t dare to ask

Are you doing engineering?

I wish I could gain this sort of understanding when it comes to math. I feel like I'm able to gain a very decent hollistic understanding on every subject, but math always eludes me. Maybe it's thanks to all those kurzgesagt , game theory, and History videos on youtube that prepared me beforehand. They grabbed these complex topics and simplified them using storytelling techniques and familiar allegories. This way, I was able to use this oversimplified abstract understanding as a "foundation" that made it much easier to understand the more complex mechanisms later. Kurzgesagt does that with science. Exurb1a did it with philosophy. Game / Film Theory and Mark Rober did it with physics. Oversimplified did it with history. But I've yet to encounter any sort of online resource that is able to dumb down math in any sort of useful way. It's almost like there's something innate about math that makes it impossible to use storytelling techniques to explain it, it is at the same time too abstract and too precise. It's weird, I can't quite describe why. Something about math always fell off, it felt like you just used random procedures out of nowhere for no reason. I never really understand the abstract reasoning of why the procedures are used and why they work. Which is weird because that doesn't really bother me with science, but it always bothered me with math. There's also the fact that in math you're always dealing with values that don't have any real world significance. The numbers and variables don't actually mean anything, when you're using them in math problems you're never actually using them as symbols or standings for real world things. They always just exist in this sort of void detached from reality. At least with science, everything you learn has an observable real world effect. The concepts actually represent something in real life that you can relate to. Even if you can't see them, you understand that molecules exist. You can imagine the effects a physics equation will have on an object. But the concepts in math just represent...themselves. Maybe if we actually did more word problems and real world examples they would make sense. But math textbooks are just filled with a lot of empty problems that don't mean anything and don't symbolize any real world value...

Yeahhh I can do a lot of that and I suck at math so 🤷

@@DeathnoteBB what makes you think that you can do a lot of this?

@@marcosenarosa4877 Living…? ??? How am I supposed to answer “How I know I have skills”? I just have them, idk

no. solving actual meaningful problems is helpful, not this psychotic gibberish.

Maybe you've never actually studied calculus because this is what teachers teach in the first lecture of calculus. Just an introduction video to what calculus actually is.

This explanation is literally from ANY math book. Stop complaining about your teachers and try pickup a book once in a while.

^^ wtf why are they so pretentious? this is an exceptional video, it genuinely presents the information in such an articulate and pleasing manner that even a 10 year old could understand, I've taken calculus courses and never felt inspiration to study it further than what was required but this video makes me feel encouraged to do so, I'm also grateful to the creator

Math is the purest subject there is.

Logic, reasoning, and observations only. No subjectivity within it.

Haha lmao i got it

@@MrCrystal09 You just described the scientific process

For some, learning a new language can be hard as is learning calculus can be hard. The numbers and formulas may be easy to some but for others there is no way to get it. I get the math used for electricity and electronics but calculus wasn't in the books. This video explained calculus in a way I never thought of. Having said that, how do I learn more about the subject? I'm 64 and retired with lots of time to spend leaning new things. And I love learning.

ok, can you explain what does it run

@@yt-sh A few examples of calculus being used are: In the development of cars; fuel efficiency requires the measurement of different speeds of the car and other functions. CGI in video games and movies; ray tracing, the reflection of light requires knowing how light bounces and diffuses from one surface to another Building architecture; measuring the area of the buildings, calculus is used to prove the area of a circle, measuring buildings that are circular needs calculus Was trying to give very specific examples, there are much more ways calculus is used, even in the same 3 fields I stated.

@@yt-sh a calculator uses Taylor and Maclaurin series to approximate the values of trig functions

42

@@thebcwonder4850 If my memory serves me right calculators don't use Taylor or Maclaurin series to approximate values of trig functions because it's memory-inefficient. Rather, they use another method, which I don't remember lol

Wish that my calculus teacher had shown this video (or a similar overview) on the first day of class when I was studying engineering.

Not really difficult. Math needs time and practice just like anything else to be good at. Teenagers nowadays have attention span of 5 nano seconds which is why they cry about studies being hard.

@@Warlord_Megatron ok boomer

@@h2q8 what are you doing here bozo?

It’s difficult because for how much the system pushes STEM, they sure can’t teach it well. Us Art kids are also sort of tired of being defunded and ripped off from learning anything other than STEM. We get it. STEM is important. Guess what? So are the Humanities!

@@DeathnoteBB Huge difference between importance of art and stem

Simply no.

I am in Computer Science and will have to take calculous at some point. This comment gives me hope.

@@JoyDavidson All the best! You'll do great if you don't listen or let others talk you into math is terrible or impossible mindset. It's just getting the understanding at the start and practicing a lot in the case of calculus which was what I have to master because of what I majored in (I don't know much about other branches, ie: stats, etc for me to tell you though). You can also start early and watch online lectures (some are hidden gem ngl) or get a good calculus book if you want a more relaxed journey throughout your degree.

Gosh you're so lucky. I wish I could have found some sort of video like this one back when I was about to start my 3rd semester. Good luck on your exams!

@@notherenorthere65 thank you dearly!

You're taught calculus in University?

@@Warlord_Megatron yes, as a first year physics undergrad student I do get taught calculus. Is that weird?

@@prismaux5168 We're taught calculus in high school so it is kinda weird to see someone learning it in University.

Thanks captain obvious!

Because you need to learn the basic elementary and middle school maths to understand calculus which you probably hated ;(

try Khan Academy videos.

Three blue one browns calculus series is incredible Pretty sure that guy worked at Khan academy too so explains a lot

It's not that easy buddy. This video is solely an introduction to what calculus can do.

No . Calculus was invented by an indian mathematician Madhav from Kerala

No newton discovered America

@@joraversinghsingh-vo1gm now I know that ain't tru