there is not good teacher get used to that idiotic school system which only make ready students for becoming good employees under big companies. It is basically a place where you but kid brains and get a employee brain working functions for companies according to the school system and other kind things. So we can say that there is "invisible" objects which putting your head to change your brain thinking. Maybe it is not invisible, it is the "voice" of teacher and the thing that you brain receives from that voice if we talk scientifically. Maybe school using some form of "Gaslighting" if we think about physiologically. The peoples who created this system didn't cared about details thats why they are succesful. Because they know that learning just 3.14 necessary than: 3.141592653589793238462643383279502884197169399375105820974944592307816406286 208998628034825342117067982148086513282306647093844609550582231725359408128481 117450284102701938521105559644622948954930381964428810975665933446128475648233 786783165271201909145648566923460348610454326648213393607260249141273724587006 606315588174881520920962829254091715364367892590360011330530548820466521384146 951941511609433057270365759591953092186117381932611793105118548074462379962749 567351885752724891227938183011949129833673362440656643086021394946395224737190 702179860943702770539217176293176752384674818467669405132000568127145263560827 785771342757789609173637178721468440901224953430146549585371050792279689258923 542019956112129021960864034418159813629774771309960518707211349999998372978049 951059731732816096318595024459455346908302642522308253344685035261931188171010 003137838752886587533208381420617177669147303598253490428755468731159562863882 353787593751957781857780532171226806613001927876611195909216420198938095257201 065485863278865936153381827968230301952035301852968995773622599413891249721775 283479131515574857242454150695950829533116861727855889075098381754637464939319 255060400927701671139009848824012858361603563707660104710181942955596198946767 837449448255379774726847104047534646208046684259069491293313677028989152104752 162056966024058038150193511253382430035587640247496473263914199272604269922796 782354781636009341721641219924586315030286182974555706749838505494588586926995 690927210797509302955321165344987202755960236480665499119881834797753566369807 426542527862551818417574672890977772793800081647060016145249192173217214772350 141441973568548161361157352552133475741849468438523323907394143334547762416862 518983569485562099219222184272550254256887671790494601653466804988627232791786 085784383827967976681454100953883786360950680064225125205117392984896084128488 626945604241965285022210661186306744278622039194945047123713786960956364371917 287467764657573962413890865832645995813390478027590099465764078951269468398352 595709825822620522489407726719478268482601476990902640136394437455305068203496 252451749399651431429809190659250937221696461515709858387410597885959772975498 930161753928468138268683868942774155991855925245953959431049972524680845987273 644695848653836736222626099124608051243884390451244136549762780797715691435997 700129616089441694868555848406353422072225828488648158456028506016842739452267 467678895252138522549954666727823986456596116354886230577456498035593634568174 324112515076069479451096596094025228879710893145669136867228748940560101503308 617928680920874760917824938589009714909675985261365549781893129784821682998948 722658804857564014270477555132379641451523746234364542858444795265867821051141 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975382437205835311477119926063813346776879695970309833913077109870408591337464 144282277263465947047458784778720192771528073176790770715721344473060570073349 243693113835049316312840425121925651798069411352801314701304781643788518529092 854520116583934196562134914341595625865865570552690496520985803385072242648293 972858478316305777756068887644624824685792603953527734803048029005876075825104 747091643961362676044925627420420832085661190625454337213153595845068772460290 161876679524061634252257719542916299193064553779914037340432875262888963995879 475729174642635745525407909145135711136941091193932519107602082520261879853188 770584297259167781314969900901921169717372784768472686084900337702424291651300 500516832336435038951702989392233451722013812806965011784408745196012122859937 162313017114448464090389064495444006198690754851602632750529834918740786680881 833851022833450850486082503930213321971551843063545500766828294930413776552793 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That's the result of ill teached Indian education!..I also never knew that!..I wonder if any school here doesn't focus on "passing or for marks", rather focusing on the deepness of the studies
We must have had the same cluster fu@k of teachers. I got a gentleman's C at an Ivy League University because some a$$hole named, Mr. Bloom, would meet with us two or three times per week and write a proof of some theorem or other on a chalk blackboard, say, "There it is.", and then, erase it. Imagine this scene: (15) eighteen year olds and one (17) year old (me) were bringing Polaroid cameras and tape recorders to class in an attempt to keep up with this flaming a$$hole. Our average SAT scores were 1400 for the Math & Verbal duet. My father paid about $9000 for the Mr. Bloom experience. I ended up memorizing all kinds of proofs, but I had no idea how to use the integral or the derivative in Chemistry, Physics, or Economics class. When they asked those teachers, they referred me to Mr. Bloom. When I asked him, he referred me to them. My father paid about $45,000 for that experience. I have a BA & an MA, I'm a published author, and I'm a member of Mensa. Today is the first day that I ever got a coherent explanation of "What is Calculus?". Now, if I could, I would go back to my alma mater with a bullwhip and beat those teachers who conned me and robbed my father. They were a bunch of freaks and frauds. This explanation is the real deal. The bottom line is that, during a critical time of my life, I worked my ass off only to get robbed by a bunch of fakers.
fuck, everywhere it is the same situation. If things were this much clearer in schools. More students would be interested in science and we would have thousands of scientists.
I've always been really frustrated because we start learning calculus from limits, while no one ever explained to us what we were actually doing. I'm glad I watched this video before finishing highschool! Thanks a lot.
The biggest frustration math students have, is not understanding what we're actually doing. Zero number sense. Just following nonsensical steps, converting this bunch of nonsense into that bunch of nonsense.
What is Calculus? Calculus is a method of studying the complex universe by cutting them into very small pieces which turn them into SIMPLE pieces like straight lines or cubes, making them easy to apply various math. This is called DERIVATIVE. Summing all the small pieces to represent the overall picture is called INTEGRAL. Explaining Calculus as 'slope and area' merely shows the PROPERTY of Calculus. This is why many students (and general public) do not understand the fundamental concept of Calculus.
I think I understand. Similar to how in drawing, you are taught to see and draw geometric shapes and how they relate each other in size and space before adding details and shading. I have to translate subjects and ideas into art and music in order to understand them.
It's fascinating that something that appears to be extremely complex is actually made up of such simplicity. Makes you realize how important the foundations of mathematics is. Complex problems = a lot of simple shit arranged in an overwhelming way.
Yeah I agree, such a thorough, in-depth, and easily understandable explanation for people who haven't taken Calculus yet. I watched Khan Academy's intro before taking Calc AB, and I was super confused. Now I'm watching this well into my year of Calculus and I'm wishing I watched this intro instead
Brilliant!...I have been teaching, tutoring and using high-level math for decades and have utilized analogies and visuals since the first lesson I gave...nothing is better than quality computer animation/graphics that an individual can watch, re-watch, pause or use to explain what or where they have become lost or confused...it is sad to say that universities don't reward TEACHING, but research dollars, which is why I prefer to do part-time instruction at Community College while maintaining a career in engineering. Damn well done!
I regret not finding your channel before I take calculus 1 and 2. Yet, it helps me to appreciate this subject more as I review my past lessons. I can say that the concepts in this video are very clear. As a visual learner, the animations and visuals in your videos really helped me to understand and see the big picture of calculus. I hope that you hit more than a million of subscribers ❤❤❤
I found this channel to be one of the best. Many people explain concepts with no base to plot the concept. While this channel does neither hype nor exaggerate itself to gain publicity. Teachers in here do come to the topic of interest very peacefully and explain any concept starting from its origin. This is true teaching.
This video, with its graphics and the narrator's calm, deliberate pace, is one of the best explanations of calculus I have ever seen. If only my calc professor had presented this on the first day, the pain and agony I experienced would have lessened immensely! Thank you!
I love you.Like seriously.this is so clear and so simply put.I literally just reconsidered dropping out of school because of this video hehe thanks a lot
hmmm? were u gonna stay in school.. but after seeing this u wanna quit? or were u gonna quit and now ur gonna stick it out? or do u mean quit thinking about quitting or quit thinking about not quitting? i see u posted this a year ago... i'm curious, did u quit or did u didnt?
i have been taking calculus for four years from now , and this is my first time to fully understand why we derive or even integrate ,so thank you ,sir for this magnificent explanation :)
This is what I needed. A good introduction to whatever the hell we are doing helps a long way in math. The teachers at my school just came in and start solving problems on the board and give assignments before leaving which we just copy from each other and the person whom we copied from either looked up the solution in the internet or he's getting private tution from someone outside the school sometimes I don't even know what chapter we are on
The word alone scared me. Never really understood at all what it was - Calculus. I watched this video on a whim and walked away feeling like I took the first step in opening my mind to a whole other side to what’s out there. Thanks for that!
Não tenho certeza mas acho que o pessoal do Socratica são brasileiros tbm pq tem o canal brasileiro do Socratica tbm.. eles só resolveram criar um canal gringo tbm kkkk... eu acho né... posso estar errado..
Not even in school or anything and this video gave me the confidence to take up learning calculus as a hobby. It's so much fun. Now I know why Newton and Liebniz were so giddy about lol
THANK YOU! I love math with visuals. In fact I want someone to teach the whole of everything in Maths with some kind of visual! I remember when I was younger I couldn't figure out the rules of multiplying positives and negatives until I read somewhere to just imagine it on the coordinate plane. It just made sense afterwards.
So I had a little thought. If Calculus is necessary because it's impossible to calculate the exact area of a curved surface, would this different approach work?: 1. Take any object and immerse it in paint. 2.Subtract the final volume of paint from the initial volume of paint 3. Given that the paint is thin, wouldn't the difference give a close approximation of the surface area of the immersed object? And given that Calculus is also an approximation, wouldn't this be a more intuitive method that skips a lot of the difficult math?
When I first took calculus back in school (long ago, now), the concept of what the goal of calculus IS and the initial concept of smaller & smaller rectangles were never really explained to us, making - for me - the learning of calculus very intimidating and difficult. I did poorly in calculus. Not until years later and after thinking about calculus at length did I have the required epiphany that allowed me to move ahead. Videos like this one are a wonderful resource. Thanks!
What an amazing explanation. I had no interest in the higher maths while in school; this definitely opened my eyes to its usefullness! Thanks and keep up the great videos!
Finally...a clear answer. This is the best explanation on the Internet I have found. Still wondering how to add the limit on the 1st try...is there a simpler way than trying 10 different numbers?
I was always intimidated by calculus purely on what others were saying. When I started it, I really enjoyed it. Along with conic sections, it was definitely a field of maths I wanted to learn more about.
Really happy to see, it was the thing which I reached over and over. To do graduation was little bit difficult to understand the concepts and to co-relate how it could be, but this one made it simple and fell in for once again. Really amazing. Thank you so much for such producing videos. I request you to keep on more videos. I thank and appreciate in advance.
My high school never actually taught math. We had to glue our faces to a website that threw math topics at us and if we didn't know the answer, we clicked "explain". Sometimes a math teacher could help on certain problems. There were no explanations on any terms or processes in any of the hundreds of topics that we needed to cover each year. Many of us cheated through much of it. The only math I didn't cheat on was geometry. YT videos are my best shot at understanding mathematics since school failed me terribly. The mere sight of a complex equation always intimidated me.
What a terribly unfair experience. We admire you so much for still being up for exploring and learning more about the subject. Please don't give up, your curiosity and drive is such a gift! 💜🦉
about half way through the video i felt very happy that I learned and understood the math. Once you finished talking about the integral of a function with one variable you blew my mind with what I still don't know. I may have to do calculus 2 and multivariable calculus now out of interest.... subscriebed
Hooray!!! We're so glad to read your comment - that really makes us excited that we can share our love of math with our viewers. Good luck and keep us posted about your progress!
Pretty good introduction, but I have additional remarks. First in both processes, of finding out the value of the slope of the tangent to a graph and of finding the area underneath the curve, one ends up taking a limit. So here arises a third important concept in calculus which is the limit of a function. Second, finding the value of the slope of a tangent is just a particular application of the notion of derivative, however the theory of differentiation almost has numerous other applications like finding the rectangle with maximum possible area when its perimeter is given. Third, same remark as the second one but with integrals. The theory of integration has numerous applications other than finding the algebraic area underneath a curve. Fourth, I believe you should have said a word in the beginning about the concept of a function. I know that people have already seen functions in Precalculus, but the very fact that one has to cover sequences when taking calculus leads to the need of understanding what a function is from scratch. Actually when students take Real Analysis later, they see that the concept of a sequence is a more natural concept than that of a function. Besides, keep up the good work. I will be for the first time lecturing multivariable calculus next fall! I am waiting to be inspired by your videos! I am a PHD student.
I plan on watching your 3 other calculus videos. Do you plan on posting more videos about calculus? I'm fairly certain that many others would like to see some more as well.
This was very cool. Cs student at a cc looking to transfer to a better uc/private school. It's cool seeing how simple things like calc can be used in real-life situations/things this complex.
I wish I could have seen this when I was taking calculus 15 years ago. I eventually aced derivative and integral, but I NEVER understood what it was about. Just one bit of advice. Please pick an example where the answer is more random than one just for clarity. Us poor non-math brains try to read something into that that isn''t there and so it distracts.
Beautiful clear animations, cute little sound effects, calm and interesting voice, perfect speed, good use of repetition as well as great sound and video quality. Stunning work! I am glad I found your channel. Thank you for sharing your art.
@Michael Harrison - I usually have to use my hearing aid when I'm trying to learn something from You Tube videos because I don't hear the higher frequencies, but your speaking voice was just perfect for me so that I didn't need my hearing aid. And thanks for not playing any background music which just messes me up.
Thank you for making calculus a little less mysterious and a little more understandable for someone with no mathematical background. At least now I know what it's meant to measure, and that it's based on a few simple principles.
Thanks Michael, these videos helped me to a greater extent last semester, in a way that I could visualise the abstract operations and model them to solve real world problems effectively. I even received price of being the best business mathematics of the semester. Thanks once again, keep up the good work. Regards :)
This is amazing to hear. Thank you so much for letting us know our videos helped - you have no idea how much that keeps us motivated. Congratulations on all your hard work paying off!! 💜🦉
Excellent video. What I am missing is the connection between derivative and integral. It is said that integral is an inverse function to derivative. But how is "area under the curve" inverse to "slope of a curve"? I have never seen the connection...
To integrate a function, you need the find a primitive function. If you take the derivative of that primitive function, you get back the original function. Works the other way around as well. So the integral is not really the inverse of the derivative, but primitive functions are (I think) rarely used outside of taking integrals, hence that connection.
Thanks. Sure, it's not a true inverse, since infinitely many functions can have the same derivative (e.g. x^2+C has derivative of 2x for any constant C). Still it baffles me how differentiating an area function gives slope function. I am long from school so re-learning calculus from book - I guess understanding the relation between the two would bring a big AH-HA! ...
What Whizzer191 says above is correct. Another quite different point is that both are dependent upon the method of making smaller and smaller cuts, notionally down to infinitely small distances and areas. In the early years of calculus, a horseshit artist named George Berkeley, a salaried do-nothing on some church payroll, claimed that calculus couldn't exist because there was no such thing as an infinitesimal. Ya gotta watch out for what these church guys try to sell you. Even if you're not a choir-boy... It doesn't matter whether infinitely small areas exist of not. What matters is that the idea is really useful in the appropriate places. -dlj.
Found this on Reddit, hope it makes it intuitively clear for you: "Rather than thinking "the integral is equal to the antiderivative," start by thinking "the derivative of the integral is the function value." The integral is area, and the derivative is rate of change. So what you're saying is that as you sweep out the area from left to right, the rate at which the area grows is directly proportional to how high the curve is at that point in time. Now it seems obvious."
so i was looking at past exams for my exam that i have tomorrow and there was a 4 point question: what is calculus about? I am pretty sure me with many other students would have gotten that wrong!
Funny thing is I could easily write a program to calculate this, but doing it the math way is difficult. In my Physics class I wrote powershell scripts in class on my laptop to do physics calculations so I could plug in numbers and get answers. The instructor seemed impressed.
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Mathematics is fun, only thing we need is a good teacher.
Ye take it from a student
Yes exactly!! And maybe no teacher at all. Because some teachers simply complicate the subject and scare the hell out of students.
Exactly!
there is not good teacher get used to that idiotic school system which only make ready students for becoming good employees under big companies.
It is basically a place where you but kid brains and get a employee brain working functions for companies according to the school system and other kind things.
So we can say that there is "invisible" objects which putting your head to change your brain thinking. Maybe it is not invisible, it is the "voice" of teacher and the thing that you brain receives from that voice if we talk scientifically.
Maybe school using some form of "Gaslighting" if we think about physiologically.
The peoples who created this system didn't cared about details thats why they are succesful. Because they know that learning just 3.14 necessary than: 3.141592653589793238462643383279502884197169399375105820974944592307816406286 208998628034825342117067982148086513282306647093844609550582231725359408128481 117450284102701938521105559644622948954930381964428810975665933446128475648233 786783165271201909145648566923460348610454326648213393607260249141273724587006 606315588174881520920962829254091715364367892590360011330530548820466521384146 951941511609433057270365759591953092186117381932611793105118548074462379962749 567351885752724891227938183011949129833673362440656643086021394946395224737190 702179860943702770539217176293176752384674818467669405132000568127145263560827 785771342757789609173637178721468440901224953430146549585371050792279689258923 542019956112129021960864034418159813629774771309960518707211349999998372978049 951059731732816096318595024459455346908302642522308253344685035261931188171010 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Yeah we need a teacher that would convince us that math is fun without having to say it every four minutes of a lesson
i studied calculus 17 years back and understood the meaning today. good work mate.
mayank vaish lol
mayank vaish lol that's actually funny
That's the result of ill teached Indian education!..I also never knew that!..I wonder if any school here doesn't focus on "passing or for marks", rather focusing on the deepness of the studies
We must have had the same cluster fu@k of teachers. I got a gentleman's C at an Ivy League University because some a$$hole named, Mr. Bloom, would meet with us two or three times per week and write a proof of some theorem or other on a chalk blackboard, say, "There it is.", and then, erase it. Imagine this scene: (15) eighteen year olds and one (17) year old (me) were bringing Polaroid cameras and tape recorders to class in an attempt to keep up with this flaming a$$hole. Our average SAT scores were 1400 for the Math & Verbal duet. My father paid about $9000 for the Mr. Bloom experience. I ended up memorizing all kinds of proofs, but I had no idea how to use the integral or the derivative in Chemistry, Physics, or Economics class. When they asked those teachers, they referred me to Mr. Bloom. When I asked him, he referred me to them. My father paid about $45,000 for that experience. I have a BA & an MA, I'm a published author, and I'm a member of Mensa. Today is the first day that I ever got a coherent explanation of "What is Calculus?". Now, if I could, I would go back to my alma mater with a bullwhip and beat those teachers who conned me and robbed my father. They were a bunch of freaks and frauds. This explanation is the real deal. The bottom line is that, during a critical time of my life, I worked my ass off only to get robbed by a bunch of fakers.
fuck, everywhere it is the same situation. If things were this much clearer in schools. More students would be interested in science and we would have thousands of scientists.
I've always been really frustrated because we start learning calculus from limits, while no one ever explained to us what we were actually doing. I'm glad I watched this video before finishing highschool! Thanks a lot.
You are on a right path
The biggest frustration math students have, is not understanding what we're actually doing. Zero number sense. Just following nonsensical steps, converting this bunch of nonsense into that bunch of nonsense.
A 7th grader here trying to learn because i’m tired of gaming
I hope you're still doing this as a 10th grader. :) Learning math and science can really help you to get a good career.
What is Calculus? Calculus is a method of studying the complex universe by cutting them into very small pieces which turn them into SIMPLE pieces like straight lines or cubes, making them easy to apply various math. This is called DERIVATIVE. Summing all the small pieces to represent the overall picture is called INTEGRAL. Explaining Calculus as 'slope and area' merely shows the PROPERTY of Calculus. This is why many students (and general public) do not understand the fundamental concept of Calculus.
Thank you..I didn't understand what he said until I read your comment. Your explanation helps.
Makes so.much sense that way.
Thank you for this comments
I think I understand. Similar to how in drawing, you are taught to see and draw geometric shapes and how they relate each other in size and space before adding details and shading.
I have to translate subjects and ideas into art and music in order to understand them.
It's fascinating that something that appears to be extremely complex is actually made up of such simplicity. Makes you realize how important the foundations of mathematics is. Complex problems = a lot of simple shit arranged in an overwhelming way.
Hands down the best intro to calculus online. Not even Khan Academy or similar high-profile channels come close!
You are so kind, thank you! We're so glad you enjoyed it. We're hoping we can demystify the subject so more people will be able to understand it.
Yeah I agree, such a thorough, in-depth, and easily understandable explanation for people who haven't taken Calculus yet. I watched Khan Academy's intro before taking Calc AB, and I was super confused. Now I'm watching this well into my year of Calculus and I'm wishing I watched this intro instead
Abreviatur it is a very good explanation
@@Socratica
Sir from which country u r
Khan talks too fast as if he is spazzing out
Me at the beginning:
Oh, I'm probably too young for this. How will I understand anything?
Me at the end:
I am amazed
This was so great to read.
We're so glad you are watching!! :)
How old are you ?
Me at the end:
I am God
How old are you?
sirbinary pffff, fifth grader
This is amazing. After a decade of rote memorization and torture, finally i get the intution. Can't thank enough. Thanks very much.
This is wonderful to hear. When you know why you're studying something, it smooths the path SO much. Thank you for watching! :)
FeelsBadMan
I am always amazed at how much clarity you have in your videos. This is absolutely golden. I love everything that you do.
That is so kind of you to say. We're so glad you are watching! :)
Jack Crawford I know right
I actually understood this
I agree, often they make it look much more complicated then it really is.
So i am glad i discovered this. :)
👏🏻👏🏻
Studying this at 10th grade so I can be prepared.
That's a great idea! We're so glad you found us and are getting a head start.
LMFAOROFL!!!!
Same dude
Same :)
im in grade 9 now. im in australia we have an extra grade so if i was in america i'd be in grade 10
Brilliant!...I have been teaching, tutoring and using high-level math for decades and have utilized analogies and visuals since the first lesson I gave...nothing is better than quality computer animation/graphics that an individual can watch, re-watch, pause or use to explain what or where they have become lost or confused...it is sad to say that universities don't reward TEACHING, but research dollars, which is why I prefer to do part-time instruction at Community College while maintaining a career in engineering. Damn well done!
Thank you sir
Please, make more deeper and detail videos about differentials integrals and differential equations. Thanks
Will do! Right now we are working on in-depth videos for all of calculus. Differential equations will come a little later.
Thank you so much!
this made me subscribed to your channel :)
when will they be available ? please let me know, I am waiting. :)
George Eliozov hello George
terrific video
explained in the best possible way
I regret not finding your channel before I take calculus 1 and 2. Yet, it helps me to appreciate this subject more as I review my past lessons.
I can say that the concepts in this video are very clear. As a visual learner, the animations and visuals in your videos really helped me to understand and see the big picture of calculus.
I hope that you hit more than a million of subscribers ❤❤❤
I wish you were my calculus teacher.
I found this channel to be one of the best. Many people explain concepts with no base to plot the concept. While this channel does neither hype nor exaggerate itself to gain publicity. Teachers in here do come to the topic of interest very peacefully and explain any concept starting from its origin. This is true teaching.
Me at beginning of video: Understands nothing about Calculus
Me at end of video: Understands nothings about Calculus
applejacks971
Yup, same here.
Too muck relatability
hey hii
me om _shiv_jakhar04 instagram
lets be friends
I’ve just done 13 weeks of maths at uni and this explained more in a few minutes than our lecturer has in months. Thank you!
UNI. You, mean the University of Northern Iowa? Went there myself, just not long enough.
@@douglasspringer1665 nah, University in general is shortened to uni in Australia
this is one of the most clearest explanations of calculus that I've ever seen
I
This video, with its graphics and the narrator's calm, deliberate pace, is one of the best explanations of calculus I have ever seen. If only my calc professor had presented this on the first day, the pain and agony I experienced would have lessened immensely! Thank you!
I love you.Like seriously.this is so clear and so simply put.I literally just reconsidered dropping out of school because of this video hehe thanks a lot
hmmm? were u gonna stay in school.. but after seeing this u wanna quit? or were u gonna quit and now ur gonna stick it out? or do u mean quit thinking about quitting or quit thinking about not quitting? i see u posted this a year ago... i'm curious, did u quit or did u didnt?
@@amandas1270 hes joking he litteraly said hehe
i have been taking calculus for four years from now , and this is my first time to fully understand why we derive or even integrate ,so thank you ,sir for this magnificent explanation :)
This is an absolutely fantastic video. Thank you so much
Thank you for watching!! :D
This is what I needed. A good introduction to whatever the hell we are doing helps a long way in math. The teachers at my school just came in and start solving problems on the board and give assignments before leaving which we just copy from each other and the person whom we copied from either looked up the solution in the internet or he's getting private tution from someone outside the school sometimes I don't even know what chapter we are on
What do you get when you cross a mosquito and a mountain climber?
Nothing, you can't cross vectors and scalers.
Stativemisto get out.
Ba dum tss
Stativemisto I'm so scared of the big musqiutous. I saw one today. It was in my kitchen. I dont have a kitchen anymore.
subbed to you
jajaja - not bad - i´ll pass it on
The word alone scared me. Never really understood at all what it was - Calculus. I watched this video on a whim and walked away feeling like I took the first step in opening my mind to a whole other side to what’s out there. Thanks for that!
Great job! Great videos! I'm from Brazil and studying Physics and this channel is helping me a lot! Thanks and keep the good work! :)
I Study Physics too, and I'm from Brazil.
This Channel is excelent! :)
Não tenho certeza mas acho que o pessoal do Socratica são brasileiros tbm pq tem o canal brasileiro do Socratica tbm.. eles só resolveram criar um canal gringo tbm kkkk... eu acho né... posso estar errado..
Not even in school or anything and this video gave me the confidence to take up learning calculus as a hobby. It's so much fun. Now I know why Newton and Liebniz were so giddy about lol
Really great video, one of the clearest explanations of calculus
THANK YOU! I love math with visuals. In fact I want someone to teach the whole of everything in Maths with some kind of visual! I remember when I was younger I couldn't figure out the rules of multiplying positives and negatives until I read somewhere to just imagine it on the coordinate plane. It just made sense afterwards.
So I had a little thought. If Calculus is necessary because it's impossible to calculate the exact area of a curved surface, would this different approach work?:
1. Take any object and immerse it in paint.
2.Subtract the final volume of paint from the initial volume of paint
3. Given that the paint is thin, wouldn't the difference give a close approximation of the surface area of the immersed object? And given that Calculus is also an approximation, wouldn't this be a more intuitive method that skips a lot of the difficult math?
When I first took calculus back in school (long ago, now), the concept of what the goal of calculus IS and the initial concept of smaller & smaller rectangles were never really explained to us, making - for me - the learning of calculus very intimidating and difficult. I did poorly in calculus. Not until years later and after thinking about calculus at length did I have the required epiphany that allowed me to move ahead. Videos like this one are a wonderful resource. Thanks!
And I thought I'm good at maths in school.
Looks like I have so much more to learn
Are you good at maths now ??
The best platform teaching calculus on youtube dont leave you will miss alot❤❤
Wow, this teacher is excellent. Clear, concise, to the point, and in a relaxed manner. Five Stars !!!
What an amazing explanation. I had no interest in the higher maths while in school; this definitely opened my eyes to its usefullness! Thanks and keep up the great videos!
"text a friend each morning to see if Socratica released a new video" lol
Lol that was really funny. But I'd love to have a friend like that tbh.
Finally...a clear answer. This is the best explanation on the Internet I have found. Still wondering how to add the limit on the 1st try...is there a simpler way than trying 10 different numbers?
I was always intimidated by calculus purely on what others were saying.
When I started it, I really enjoyed it. Along with conic sections, it was definitely a field of maths I wanted to learn more about.
You know a good real life use case is always good for understanding- this was missing in this video thou conceptually it was explained well
Leibniz
Me: *spits drink*
Me: *_YOU MEAN THE COOKIES?_*
Really happy to see, it was the thing which I reached over and over. To do graduation was little bit difficult to understand the concepts and to co-relate how it could be, but this one made it simple and fell in for once again. Really amazing. Thank you so much for such producing videos. I request you to keep on more videos. I thank and appreciate in advance.
never thought calculus was so simple and awesome.
My high school never actually taught math. We had to glue our faces to a website that threw math topics at us and if we didn't know the answer, we clicked "explain". Sometimes a math teacher could help on certain problems. There were no explanations on any terms or processes in any of the hundreds of topics that we needed to cover each year. Many of us cheated through much of it. The only math I didn't cheat on was geometry. YT videos are my best shot at understanding mathematics since school failed me terribly. The mere sight of a complex equation always intimidated me.
What a terribly unfair experience. We admire you so much for still being up for exploring and learning more about the subject. Please don't give up, your curiosity and drive is such a gift! 💜🦉
You succeeded in combine brief and yet comprehensive idea about calculus; and that's really great!
of course I wont miss any of your calculus videos
about half way through the video i felt very happy that I learned and understood the math. Once you finished talking about the integral of a function with one variable you blew my mind with what I still don't know. I may have to do calculus 2 and multivariable calculus now out of interest....
subscriebed
Hooray!!! We're so glad to read your comment - that really makes us excited that we can share our love of math with our viewers. Good luck and keep us posted about your progress!
I’m crying because I want to understand this but I just can’t. Math is so hard and I don’t think I’ll ever finish my degree bc of this dumb class
My favourite part about learning is the aha moments. It is very exiting to see the application of mathematics.
Before: Didn’t even know what Calculus was.
After: Full book of Calculus.
That’s me when I watched this video…
Pretty good introduction, but I have additional remarks.
First in both processes, of finding out the value of the slope of the tangent to a graph and of finding the area underneath the curve, one ends up taking a limit. So here arises a third important concept in calculus which is the limit of a function.
Second, finding the value of the slope of a tangent is just a particular application of the notion of derivative, however the theory of differentiation almost has numerous other applications like finding the rectangle with maximum possible area when its perimeter is given.
Third, same remark as the second one but with integrals. The theory of integration has numerous applications other than finding the algebraic area underneath a curve.
Fourth, I believe you should have said a word in the beginning about the concept of a function. I know that people have already seen functions in Precalculus, but the very fact that one has to cover sequences when taking calculus leads to the need of understanding what a function is from scratch. Actually when students take Real Analysis later, they see that the concept of a sequence is a more natural concept than that of a function.
Besides, keep up the good work. I will be for the first time lecturing multivariable calculus next fall! I am waiting to be inspired by your videos! I am a PHD student.
I scraped through maths in uni, I won't lie! This is a good lesson. You guys have a great channel!
I am from India and im in the seventh grade right now. This video clarified my doubts to what I will face in my higher studies.
Calculus looks really interesting!
Amazing explanation. Not too slow, not too fast and very very clear. Thank you for posting this.
I plan on watching your 3 other calculus videos. Do you plan on posting more videos about calculus? I'm fairly certain that many others would like to see some more as well.
great video! this would have helped me a great deal when I still was ignorant of calculus.
You are a great teacher. It would be good to have more videos on a full calculus lesson and book. Thank you for this wonderful video.
if this video was in chinese it wouldnt change a single thing in terms of what i understood or took away from it.
...Now, I know I am not the only one thinking...What?!#*?
This was very cool. Cs student at a cc looking to transfer to a better uc/private school. It's cool seeing how simple things like calc can be used in real-life situations/things this complex.
Yes! Can't wait to see more of your calc vids!
Wish I watched this while still in high-school but I will learn maybe I will be of help. Kudos
I wish I could have seen this when I was taking calculus 15 years ago. I eventually aced derivative and integral, but I NEVER understood what it was about. Just one bit of advice. Please pick an example where the answer is more random than one just for clarity. Us poor non-math brains try to read something into that that isn''t there and so it distracts.
really nicely explained. i am just starting calc 3, and it's nice to see where this is going.
Mam's Style of explanation is better...Thanks your work is helpful for us...
Beautiful clear animations, cute little sound effects, calm and interesting voice, perfect speed, good use of repetition as well as great sound and video quality. Stunning work! I am glad I found your channel. Thank you for sharing your art.
What a kind and generous comment. Thank you so much! We're so glad you are watching! :)
Nothing in this world is cooked up........everything we lwarn has logic n practical implementation, the only thing we need is a good teacher.
This is the best overview of calculus that I've seen on this site.
Hodor!
Awesome explanation. I wish I had teachers like you.
@Michael Harrison - I usually have to use my hearing aid when I'm trying to learn something from You Tube videos because I don't hear the higher frequencies, but your speaking voice was just perfect for me so that I didn't need my hearing aid. And thanks for not playing any background music which just messes me up.
We're so glad to read your comment. Thank you for letting us know! Access is so important.
Thank you for watching!!
Oh man amazing lecture I love it.
Thank you for making calculus a little less mysterious and a little more understandable for someone with no mathematical background. At least now I know what it's meant to measure, and that it's based on a few simple principles.
Best Introduction to Calculus.
It's amazing how clear and how great it is. Really deep and easy to understand. Thanks you a lot !
That was an awesome explanation. Helped more then the those in my textbooks. Thank you very much.
Thanks Michael, these videos helped me to a greater extent last semester, in a way that I could visualise the abstract operations and model them to solve real world problems effectively. I even received price of being the best business mathematics of the semester. Thanks once again, keep up the good work.
Regards :)
This is amazing to hear. Thank you so much for letting us know our videos helped - you have no idea how much that keeps us motivated. Congratulations on all your hard work paying off!! 💜🦉
Wow you're a very good educator, con.grats.
Studying at 1st grade to get a head start
Hey, great video! I've learned more in this video then I have in all my math adventures.
You are so kind, thank you!! :)
This was the best explanation to calculus I've ever seen
very good experience with calculus by this video thank u sir after this video no body will fear to give difference between derivative and integration
upload videos of vector calculus.
I'm so glad I spent many nights on calculus. I use it all the time in my day to day life. Said no one ever. At least geometry and trig are useful.
This is because most people don't deal with serious questions in their day to day life.
Please make videos on e, pi, complex nos, & undefined nos, what they actually mean in real world.
Please please please!!!
By e do you mean eulars number
*euler's
Thanks! Good overview. I learn better known the overview 👍🏼
This is great!!
Thanks Cassi! We're so glad to be starting this series! :)
I think we are all happy with that!!!
amazing visual explanation. thank you!
dont give distorted facts, Newton discovered Calculus not invented it, this concept has been alive since the vedic times.
Our teachers teach us how to score in exam but this help us to understand.thank alots❤️❤️
And to think that sir isaac newton invented all of this in 1 like 1 day.
Newton is such a hero of ours. What a huge mind. :)
Socratica Newton was too arrogant.
Newton had every right to be. lol
Newton was not, he had mental breakdowns.
But whats the point of this???
very clear and informative and digestable
very appreciate to your efforts
Excellent video. What I am missing is the connection between derivative and integral. It is said that integral is an inverse function to derivative. But how is "area under the curve" inverse to "slope of a curve"? I have never seen the connection...
To integrate a function, you need the find a primitive function. If you take the derivative of that primitive function, you get back the original function. Works the other way around as well.
So the integral is not really the inverse of the derivative, but primitive functions are (I think) rarely used outside of taking integrals, hence that connection.
Thanks. Sure, it's not a true inverse, since infinitely many functions can have the same derivative (e.g. x^2+C has derivative of 2x for any constant C).
Still it baffles me how differentiating an area function gives slope function. I am long from school so re-learning calculus from book - I guess understanding the relation between the two would bring a big AH-HA! ...
What Whizzer191 says above is correct. Another quite different point is that both are dependent upon the method of making smaller and smaller cuts, notionally down to infinitely small distances and areas.
In the early years of calculus, a horseshit artist named George Berkeley, a salaried do-nothing on some church payroll, claimed that calculus couldn't exist because there was no such thing as an infinitesimal. Ya gotta watch out for what these church guys try to sell you. Even if you're not a choir-boy...
It doesn't matter whether infinitely small areas exist of not. What matters is that the idea is really useful in the appropriate places.
-dlj.
Whizzer191
Yes, but why differentiating an "area function" gives "slope function" ... I never understood how the area and slope are related.
Found this on Reddit, hope it makes it intuitively clear for you:
"Rather than thinking "the integral is equal to the antiderivative," start by thinking "the derivative of the integral is the function value." The integral is area, and the derivative is rate of change. So what you're saying is that as you sweep out the area from left to right, the rate at which the area grows is directly proportional to how high the curve is at that point in time. Now it seems obvious."
I wish u were my class teachers...thank u very much for the excellent video
can you please make a video on motion in a plane(physics).Your teaching and visualization is uncomparable.Kepep up the good work
so i was looking at past exams for my exam that i have tomorrow and there was a 4 point question: what is calculus about? I am pretty sure me with many other students would have gotten that wrong!
This channel deserves more subs
Thank you for saying that - you're so kind! We are working hard to grow. Please share our videos - that really helps!
Socratica I do.
Funny thing is I could easily write a program to calculate this, but doing it the math way is difficult. In my Physics class I wrote powershell scripts in class on my laptop to do physics calculations so I could plug in numbers and get answers. The instructor seemed impressed.
Try figuring out the area of a disk with a program. Computers can't handle irrationals.
Very useful video.. You have focused on basics.. 👌👌
Best video I've seen, hands down! I can't wait to see more.
hii leslie
Great teacher, God bless you dear.
Bravo! What an excellent overview!