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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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.
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
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.
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 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.
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.
I consider myself pretty strong in algebra (I'm wrecking it this semester, 95 in the class), and I'm taking pre-calc next semester and have no idea what to expect. I also have to take Calc 1 and Calc 2 (I'm a computer science major). Before this video, calculus was literally just a word to me. I now completely understand what I have to look forward to next fall after pre-calc. Thanks!
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.
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.
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! 💜🦉
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 :)
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
@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.
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’m a freshman in high school that’s always been intimidated by calculus because I had no clue what on Earth it was but this video helped tremendously in giving me a basic understanding of it and getting rid of that intimidation. Thanks.
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..
I wish people would explain why a particular aspect of math is used BEFORE teaching it.........It just makes sense.....Introducing real world examples assists also...Great job!
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!
I recommend this video to anyone who has to take calculus, I've done calc 1-3. The part they don't show very well in class is the visual aspect. I can crunch numbers and memorize formulas all day long but to truly learn it they should really teach it the way this guy does.
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
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?
Excellent summary. This is the first time in my life that I've encountered a math teacher who can use English in an organized and clear way to describe differentiation and integration. Of course, I'm going to subscribe.
Thank you so much!! Thankfully, I have a boss of mine who's encouraging me to finish my Engineering Degree, and the biggest road block for me has been Calculus. He spent about 10 mins explaining this as well, and drew it out on a napkin. When he broke it down to derivatives and integrals, it was like a light bulb went off and I started to understand why. So far anytime I've come up to Calculus I've got teachers just throwing math at us, but never really explaining why. Videos like this help break it down for how my mind works, and I'm feeling extremely confident at the moment. Especially since I finished machining which adds in the x,y, and z axes, I can even visualize and understand what you're doing for the 3d Calculus. This is exciting!
I just searched for “wtf is calculus”, as I always hear about it but had no idea, and ended up here. I have no background in mathematics, and still I believe I'm now able to at least talk about this subject. Super clarifying.
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!! 💜🦉
The best explaination about calculus I've ever heard...his explaination is so clear that I as a layman could start to understand...keep up the good work...
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!
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.
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!
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.
Oh my god I would've needed you 3 years ago at my freshman years in engineering. But it's fun to go back and see more clearly how things work and remind myself
A great teacher makes complex knowledge simple and accessible. Mathematics is a numerical expression of nature. Thank you for simplifying nature for us!
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."
You are so kind, thank you! This video was written and presented by our co-founder and resident mathematician, Michael Harrison, who does such a great job explaining math but is a little camera-shy. We'll be sure to share your message with him to encourage him to make more of these lovely videos. And thank you so much for your support!! 💜🦉
If this is how a camera-shy guy explains stuff, then I want all my teachers to be camera-shy. Take my word for it, I hated calculus during college. I loved the way he explained it so much, that I’m reconsidering calculus.
This is a subject that always give me a head ache in school but after watching your video is have regained my hope if you keep up with his level of explanation i will get good grades in my school
Excellent overview of calculus. The best of several that I watched. Thanks for taking the time to share your knowledge in such a clear, concise, and helpful way.
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 am really big fan of a single man becoz still I am at 12 standard school of India and keep reading mathematics .MY whole book of all chapter of releted to NEWTON SIR what's a man...🙏🙏🙏 hats off, I want to meet to newton sir in the heaven...😊😊😊
I've never been taught a single thing about calculus before (except all the ways my schoolwork sets out to avoid teaching it to me), but i instantly understood the general ideas thanks to this video. Now, at any point where i'm going to be taught to apply these concepts, i'll do much better. Thank You!
@@Socratica Wow, you're welcome, I guess? Thank you so much for highlighting and replying to this comment, but i'm just wondering how this is possible, wasn't this video made back in 2016? Either way, thank YOU for your great content and dedication to your fan base!
RU-vid is funny, sometimes we get a message that we have a new comment - other times we have no idea! Your comment popped up in our notifications and made our day.
Thank you so much, Man. After watching this video I started to visualise the calculus thing. This is the best video for describing what is calculus. Your explanation is to the point. I watched a lot of videos just to know what is Calculus. This is the best of all.