Calculus: What Is It?
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- Опубликовано: 4 июн 2024
- This video shows how calculus is both interesting and useful. Its history, practical uses, place in mathematics and wide use are all covered. If you are wondering why you might want to learn calculus, start here!
RUclips has the best teachers, No doubt about that.
yes
So dam true.
Darn!!!
I love the shout out to your mom. She must be so proud of you! You're a great teacher.
Excellent video. I am learning calculus, and physics, just for my own sake. I find I learn best by first gaining an overview of the subject matter. Thanks for your clear explanations.
They should teach something like this before a calculus class. It all makes sense now that you explained in summary what calculus is. Awesome video!
+Horacio Santoyo Thank you, Horacio!
Yeah, I'm a top-down learner. I prefer to know a "big picture" or "global view" before I can piece together the specific bits.
Exactly, you need to know what you don't know, break everything up and put it back together piece by piece.
I learn better from the top down
Horacio Santoyo it's just important to know why you're doing something. even the people who created it knew at least that much before diving into the specifics
I just learned more from your 46 min video than I did from the 4 years of high school and college math. Thanks.
"teaching is not about filling a bucket but its about lighting a lamp" all my life , people tried filling buckets but now I see what a lighting a lamp can be
exactly true
slidenerd Thank you
I would probably redefine the concept into a simpler one: Teaching is about explaining something is and how it works. Math is so difficult for many people because it is a long list of concepts which make no sense unless explained well
Literally
brilliant
Best ever video on this topic. Many (so called) teachers may know the subject, but they fail miserably in explaining. This gentleman knows how to explain the concepts using the simple words & that is the beauty of this presentation. Art is not to make a simple thing complex; the art is making the complex things simple.
Abdul Qudus I took calculus in college and ended up with a C but didn’t ever really understood the concept or usefulness until now. Truly the best video on calculus. Others seem to go too fast or don’t follow a natural progression or speak distinctly. This video is none of those and I am forever in your debt.
@@davemmar , It was not meant for all to understand.
@@normanhenderson7300 Yes, it is. Everyone knows exactly how much liquid leaches from baked apple slices and applies the exact amount of butter, cinnamon and sugar mixture to create a thickened paste, and not a runny mess. lim >> 0 : apple slices + et c. = pie. You try telling me that knowing lim >> 0 : 2/3 + 3/5 + 5/7 = 1/2 is some higher order of knowledge, yet you can't plant a blade of grass to feed a cow whose shit is stockpiled to fertilize next years' acre of corn is "not meant for all" and I will tell you that you are as ignorant as a pig with a wristwatch.
OMG. I just have just started learning calculus in-class today and was completely and utterly lost. You Sir, have saved me by explaining these daunting things in such a logical and simplistic way. THANK YOU a million times over.
So how did it go? We're you successful in the learning of calculus?
@@vinnievintage7725 in my second last year of chemical engineering now so I find some calculus easier than algebra 😂
Mon Whitty lol, thanks good to know!
It's kinda ironic how i learned linear algebra & Calculus first of young age, just due to pure interest, i have always seen a connection with geometry sound & math.
Fidel Bilika Thanks. For most of the plots in these videos I use the Matplotlib libraries in the Python language. I have created a set of ~5 videos on how to make plots using that framework (Python plus Matplotlib) so that it would be easy for others to get started. You might watch those videos to see if that is a useful set of tools for you.
New Planet School
What is precalculus
Thanks a lot for this! I recently had epiphany while learning data-structures & algorithms and realized the need for mathematics seeing how man had to solve these amazingly beautiful problems in day to day life centuries. So I set out on a journey to go back and learn all the mathematics that were learnt half-baked in school & college [such as calculus, probability theory-expected value, sequences/patterns, pascal's triangle, etc etc- just so many beautiful things]. This enlightenment and excitement is indescribable, I wanna go out there and learn these things soulfully ASAP.
Your video has helped on this quest and I'm so grateful to you! Thanks again.
Among the thumbs up and thumbs down icon, RUclips should also include an applause icon.
That's all I have to say about that! Great video and thanks.
I wish I had such an instructor and at least the next Gen students gets such at least rather than mechanical boring way of teaching maths without explaining any clue how this beautifully relates to our world around us build with the help of maths concepts
I am so glad that I came across this video. You have made Calculus not just a far away concept, but an everyday event. It is so interesting. I just decided to go back to school and your video will definitely become my favourite.
This video gave me whole new motivation to do well in my calculus class.
+ghalib khan _Awesome_! *Good luck!*
I admire how you re taking care your work and math . congrats and thanks for all your interest and love in this field
Excellent video. I am a Sr. Citizen with deep interest in mathematics. In my college days I couldn't understand Calculus as basics , origin & uses of calculus were never taught. Many concepts were now cleared.Thanx.
Seriously i cannot thank you enough! I have a mediocre Pre-Calculus teacher who didn't even bother with a proper introduction or explanation. This helped so much!
Eh pre-calc isnt really calc though. Pre-calc is just harder algebra 2 with trig, and with some basic principles of calculus (ex, difference quotient helps solve for the derivative of a function), and at the end the basics of limits. If i were you, i wouldn't worry about calc until you're in calc and focus on mastering what your teacher teaches you, because you'll need it when calc comes along.
The best ever explanation on Calculus, Most under rated video in RUclips of Calculus.
Hats off to the trainer.
Incredibly clarifying in such a simple way. Thank you very much, my Dutch students found it highly educational, even without translation.
You made my day !! I was struggling to understand the logic behind development of calculus. I had mugged up things without a clear understanding and got through exams. This was a great introduction to the subject ! Thanks a lot !!!
Well done!! I am a teacher, but not of mathematics, and didn't study calculus when I was a school-aged student many (many) years ago. This video is an example to all teachers of how to break down a seemingly difficult idea to its basics and put all those pieces back together. in a way that makes sense in the real world.
The best explanation of limits I've found on the internet. I've been looking for months.
This is one of my all time favorite videos. Great job!
Really everyone can easily understand Calculus with minimal or 0 prior knowledge. it answers my questions and doubts that i have earlier! thanks a thousands
This video is really good at showing the connection between algebra, geometry and calculus. Also, has good application to real-world problems, which is really hard to do.
You are so far the best teacher that I have come across in my entire life.. Thank you so much
A lovely introduction to what calculus is. Many thanks.
Very accessible, thank you. It is wonderful to find someone who can explain things clearly and thoroughly.
It is extremely sad that these basics are never taught to you in the schools in india they just make you learn it like a machine, we could do pages of differentiation and integration like computer but not knowing what the hell was going on :/ :/ never too late at least now i know :D
Hasan KJ it's the same in the UK.
That's how I felt in calc 2 and differential equations. I can do the math all day but I have no idea what I'm really doing.
Sure? I thought it is only in Uganda where simpler subjects r taught the hardest way. +256706258281
I think it happened to Commonwealth country... because our country not learn this either
People here are focused on mainly two things, High exam scores and High paid jobs. To hell goes to learning.
I just got a random interest to look in to what calculus is about since I last solved calculus problems in school 10 years back. Now I'm nowhere closer to using it in real life. After watching this video I'm sure I'll be using it in some point in my life. Thanks for kindling my curiosity and making the concepts clear.
What a great explanation. You really got talent. Thank you for this.
Really wonderful video that clearly explains calculus well and easily understand. If my math teacher is like this, I would undertand the concept of calculus 20 years ago.
Wow!!! This is how teaching should be in schools and colleges.
Sir... this was the best... i am learning calculus after 20 yrs... i wish u taught me maths back then...
Excellent !!!!
A great review. It's been years. And your approach is top notch.
Can you recommend any Geometry and Trigonometry books? In particular, I'm looking for books dating back from the 1980's and earlier?
Excellent presentation - thankyou! You've made this Math ignoramus less so. Much appreciated.
Great explanation on calculus... Thanks.
I am planning to go into the field of biochemistry and i am good at biology and chemistry. However, my math is not the greatest. But i love learning about science and math and its so interesting. I am determined to further my understanding of math and push forwards regardless of my struggles. Thank you so much for this video!
This has been one of the best aides on line yet 4 me! Thanks many times over for where this Gen x lost hold of maths II in trigonometry. I'm currently calculating an 11 pointed Endecagon -- equally mapped all round an Orb.
This places a lot more in perspective . T O'Flaherty
Calculus explained superbly in this video!. I will recommend this to every student!
oh wow!! now i undestand it its so clear finding the circumference using the limits,thanks to you man, i appreciate your effort its beautiful,,,,,,however this knowledge comes to me a little too late see and 45 years old and theres very little i can take advantage of this ,i remember when i was in 12 grade wanting to learn calculus so bad but i could never grasp anything...but i applaud your effort and dedication to teach,,,you are so kind i hope young people take advantage of your kindness your teaching,,,thanks
Splendid job sir...Now I feel if I would have learnt these basics in school how amazing would have been science and engineering is...it's sad that no body teaches these basics which encourages to learn more
Thank you. Calculus now has started to make sense :)
OMG! I skipped around this video to see what it's about. And although I'm taking Calculus 2 right, which is difficult might I add.
This video is simplifying the reason for why I'm learning this in the first place. Like instead of just doing something because a teacher told me to, this video is taking me a brief glimpse into the future in which I can understand why I need to learn this. Thank you for this video. I wil lprobably watch it many times. This is very insightful information that has never been exliciptly been told in such a manner. I hope the new generation is taught more efficiently, compared to the old. RUclips videos like these are definitely making the future of learning more comprehensivee. Thank you again.
Heeeeeeeeeeeeeeeey, first time in my entire miserable studying life to follow some math course and time goes quickly . . . you have magic bro, thaaaaaaaaaaaaaaaaanks, let us see more from you wand
19:27, excellent deduction! Great video all together
Very Well Explained! Thanks for sharing!
Best lecture on RUclips, I have ever seen
This enlightened me. It is great to know that a circle is a polygon. I finally get where the formulas for it's area and circumference came from... I'm so much more interested in calculus!
Circle Is Not a polygon. Coz it has curves.
@@ravijangrax Isn't a circle a polygon with an infinite number of sides where every point on the circumference is a "side"? Or is a "side" required to have two points?
Perfect math lesson.
40+ years ago at school the teacher just raced through the subject leaving us clueless.
I managed to pass the exams by memorising what happened when a stupid number gets slammed with a stupid symbol.
Got the grades to get into further education but flunked as I hadn’t the first clue about math.
Would have been so much better all round if someone with this much patience had educated us.
whow .... simply explained ..... wish internet was there in 1990s like this ..... brings down the knowledge barriers
Very true. Internet brings together like-minded people like never before. Internet is making me a better mathematician than I thought I would ever be.
Great Video, explaining the fundamentals
Innovative research method of teaching
Ever best introduction to calculus
After watching this video, I created a RUclips playlist called- "life changing lessons" and added this video to it. Thank you. Thank you. Thank you.
I also explain calculus in my series: ruclips.net/video/tNlsaJIEEM8/видео.html. Let me know if you don't understand any concepts.
Exellent introduction to limits!
amazing explanation. ...plz post such videos and explain more things
Although the first 28 minutes are very important, they could be difficult for some. I hope the unacquainted get through the first part because the rest is especially good. When I took Calculus in college I had no idea why until I took physics: then it all made perfect sense. So someone planning on taking Calculus for the first time will benefit from this video. I recommend it.
Great teachers always to great things like u.
I bow my head to yourt foot because you are a teacher
Excellent video! All high school students planning on furthering their education in science should watch this video.
Tks, the presentation and explanation of it's uses helped me a lot.
Very informative and easy to understand. Thank you.
Thank you so much. Education made easy.
Great video, very well explained, I enjoyed it, thank you very much!
Thank You so much Sir.
Very nice introduction to calculus. I always thought of it as a mysterious subject but this video removed the mystery, thank you!
Absolute smooth curves is an illusion. When curves are magnified we find straight lines. That makes calculating area and volume a lot easier. With curves one can never get to a final answer but only approximations.
thanks for the video... how do you form a square graph for lines? How to you measure the space between the numbers 1, 2 ,3 , 4 etc and the size of the square?
Thanks bruh, you just helped me with my arc designing.
my god, you the concept of calculus so easy to grasp. ty
Great information. Thank you.
Well done. Thank you.
21:30, what about the negative two in the brackets, is that still multiplied to 180?
Thanks, clear and concise
This is one of the mathematical method to explain calculus, using the concept of functions and limits, used in trigonometry and polynotmiala. There are others, like movement, mechanics...very ininteresting too!
good video to understand
thanks
what a great lesson; thank you!
Nice and clear.
Thanks, mate.
Good Intro. Which program did you use to draw the graphs? Can you provide me?
great video ,i totally understand now the concepts which i was missing ....once again thanks alot sir
Excellent. Best explanation ever!
WOW! Very impressive 😎
Thank you much. This video was very helpful. I will have to watch it a few more times to understand the details better.
Outstanding video!
Amazing is a small word for u!!!...u are the reason that maths sometime still make sense
loved it...
Great video, thanks so much
The formula for a cube, the formula for a sphere, the formula for a cone, slope of a line, point slope, and quadratic formula. I've got them memorized. Taught myself calculus. Seems pretty simple to me. Einsteins equations make perfect sense to me. E=mc2. A no brainer! Lol.
Thank you for the video!
Very nice, thank you!
Love you. Thank you
Amazing video, thank you so much! Despite studying maths for a long time - I only now can say I know what calculus is. This is how maths should be taught, not as someone quite rightly said in a comment before me “as a machine”.
Exellent. Thanks!
A very interesting and accessible text for those interested in the development of the infinitesimal calculus is Newton's "The Method of Fluxions and Infinite Series". I'm currently making a video series about the text and have some videos on my channel about the text for those interested.
I have done complicated differentials but always failed to visualize things in machineries. Visualization of problems is so important. Thank you
after watching this video i am very excited because this video is gives me new way for understanding engineering
Superb!
Little confused about why you kept saying the line at the start had a y value of 3 when the graph terminates the line crossing y=4. Is it because the line starts at 1 and 4-1=3, or was it a slip up on your part? Or something else that I haven't considered?