Calculus Made EASY! Finally Understand It in Minutes!

Calculus Made EASY! Finally Understand It in Minutes! TabletClass Math 923K subscribers Subscribe 41K Share Ask Save 1,432,943 views Mar 10, 2025 Think calculus is only for geniuses? 💥 Think again! In this video, I’ll break down calculus at a basic level so anyone can understand it — even if you’ve never seen it before! Whether you’re a high school student, college student, or just curious, this is the simplest explanation you’ll ever hear! 📌 What You'll Learn: ✔️ What calculus really is (in plain English!) ✔️ Why derivatives and integrals aren’t as scary as they sound ✔️ Real-life examples of calculus you see every day ✔️ Why you CAN learn calculus — no matter your background Learn more math at https://TCMathAcademy.com/. TabletClass Math Academy - https://TCMathAcademy.com/ Help with Middle and High School Math Test Prep for High School Math, College Math, Teacher Certification Math and More! Popular Math Courses: Math Foundations https://tabletclass-academy.teachable... Math Skills Rebuilder Course: https://tabletclass-academy.teachable... Pre-Algebra https://tabletclass-academy.teachable... Algebra https://tabletclass-academy.teachable... Geometry https://tabletclass-academy.teachable... Algebra 2 https://tabletclass-academy.teachable... Pre-Calculus https://tabletclass-academy.teachable... Math Notes: https://tcmathshop.com/ If you’re looking for a math course for any of the following, check out my full Course Catalog at: https://TCMathAcademy.com/courses/ • MIDDLE & HIGH SCHOOL MATH • HOMESCHOOL MATH • COLLEGE MATH • TEST PREP MATH • TEACHER CERTIFICATION TEST MATH This video provides a surprisingly simple introduction to calculus. Even without prior algebra or geometry knowledge, you'll grasp the core concepts. The presenter uses everyday examples, like calculating areas and a speeding car, to illustrate derivatives and integrals. Summary How this was made Auto-dubbed Audio tracks for some languages were automatically generated. Learn more Transcript Follow along using the transcript. Show transcript TabletClass Math 923K subscribers Videos About Facebook Pinterest 1,024 Comments rongmaw lin Add a comment... Pinned by @tabletclass @tabletclass 8 months ago 💡 Want to actually understand math — not just memorize it? 👉 Start learning now at https://TCMathAcademy.com/courses 108 Reply 14 replies @vernonlomax1721 2 months ago Thanks for providing this easy tutorial on Calculus. I'm 70 years old and finally excited to start learning advanced mathematics. There are so many things that I want to understand better without the pressure of grades or career. This is the best time in human history (so far) to have access to all of the accumulated knowledge that we have discovered... just a few clicks away. Looking forward to reviewing the other videos in your collection. 130 Reply 8 replies @larrysmall3521 8 months ago A class like this should be the first lesson in any beginning calculus class. I struggled with calculus because I did not understand the purpose or basic concepts. 305 Reply 16 replies @albireo9 9 months ago Learning calculus & rates of change & all that became crystal clear when I simplified differential calculus as "slope-finding" and integral calculus as "area finding". 271 Reply 21 replies @JDRichard 2 weeks ago Six years of university, an electrical engineering degree, took mathematics for physicists, and no one explained this better than you, my friend 26 Reply 3 replies @lenyfreeman3807 2 months ago I still don't know how fast the car was going after 3 seconds or how to find out. 35 Reply 7 replies @jakejake7289 8 months ago I wish you were my calc teacher 38 years ago. Most people manage to pass calculus without really comprehending it. Great job! 122 Reply 8 replies @billbouwman4831 2 months ago I'm am 62 and have always wondered the basics of calculus as someone whose math education stopped at Algebra 2 with Trigonometry. Thank you for sharing. Maybe in another lifetime I will learn it :) 20 Reply 1 reply @nyxandtyr 7 months ago As a kid, I loved math. Then life took a turn and math went out the window. When this video started, I was smiling and eager. But the end was such a let down. I need the rest of the lesson. 42 Reply 3 replies @taura101 8 months ago I struggled with algebra and calculus at high school 60 years ago. Even though I passed the exams I considered myself a failure. Now I'm patting myself on the back because I understood this Calculus video. Wonders never cease. 90 Reply 3 replies @diesel1344 2 days ago I am 80 and had 2 years of calculus in high school. Freshman year in college I took differentials and sophomore year a course I can call something like theoretical calculus. I had to drop out for a year and came back as a history major. One reason I did not go further was there was never any discussion like you gave here. Everything was just numbers and how to manipulate them with just pencil and paper. I would have to take at least the differentials over again and probably pass on the last course so I dropped math altogether. Had I had some sense of the application of this information, I might have stayed with the math and been much richer today as I missed out on a great job with IBM because my math wasn't solid enough. IBM in 1968 and staying for 20 years would have made me wealthy. History gives one some useful knowledge but would only prepare you for a teaching job. 1 Reply @johninh.b.6503 6 months ago In 43 years I've been able to count all my great teachers on 1 hand. After watching a few of your videos I can finally start counting on the other. 13 Reply @LittlePineTree1 8 months ago Thank you. It would have been nice if you worked out both problem completely. 43 Reply 6 replies @Resdep2001 3 months ago I have a degree in Electrical Engineering more than 30 years ago. Calculus was very useful in solving upper level Engineering courses. Watching this video brought back memories. 5 Reply @js5665 9 months ago (edited) And the answer is,...? It's as if I lost the last 2 pages of a mystery novel. What happened? Was it the butler who did it? Did Lady Jane find true love? Will Basil return? Does Biscuit the dog live? 52 Reply 10 replies @kenwoodruff3639 8 months ago I am 70 years old. Wow. In college I loved algebra one algebra two in college algebra but I was afraid of calculus. I shined away from it. You my friend have given me my first introduction to calculus and I am blown away at how much more I can already see where it’s application can take me in this very elementary explanation of it.I am so looking forward now to just looking at it a lot more. Math I have always enjoyed. I loved trigonometry and I loved all the algebras and hopefully I will have found a newfound friend. 44 Reply @xawecki8149 2 weeks ago (edited) My last class in calculus was 50 years ago. Clicked on your video, when it flashed on my screen and felt young again. Slowly minute by minute it all started coming back, although I doubt, it was ever explained to me the way you did. What was missing at the end was an example of practical application for very simple function. Interesting that most comments are written by people out of school for decades and I understand that your intention is to popularize math in young, unaware of the great adventures that calculus can bring, minds. 2 Reply @bobbymac3696 8 months ago I use calculus every day at work as I lay out areas for excavation and construction. Having 4 yrs. of collegiate math under my hat makes my job much easier and more efficient. However, I was surprised at how many people there are in construction who use these methods and many with not even a high school degree. This shows the common sense of mathematics in real-world applications. I've learned a lot from many of them also. Great video, sir, from one math lover to another. 42 Reply 2 replies @jossurbab 2 months ago Wish someone explained it before 45 years back in this way. 3 Reply @jerryhuculiak9681 3 months ago When I took calculus the teacher I had was absolutely terrible. 26 Reply 13 replies @VolvoGonzo 6 months ago Damn, I'm just a landscaper and now I need calculus to find the area of some crazy bed lines 4 Reply @julianfell666 7 months ago I realized eventually that my trouble with calculus came from the circumstance that math teachers take a very pure and abstract approach to teaching calculus with poor connection to reality. Most calculus books dont include a definition of calculus in the introductions. When I assess a calculus text I always check the introduction for a definition. If it is not there I know its going to be abstract confusion and I dont waste any more time with it. 9 Reply 1 reply @eleangthang8555 6 months ago THB 500.00 Thank You Very Much (from Thailand) 23 Reply @vics-videos 1 month ago Another point: Calculus -- as a whole -- is all about RATES, understanding and computing with RATES. That's intro #1. Then Integrals and Derivatives each solve half of that effort, depending on whether you are calculating FORWARD or BACKWARD. Think of an accelerator pedal. It's position at any given moment is the Derivative. The RESULT of that position on the RATE of the car is the Integral.... That should be your #1 introduction out of the gate. 5 Reply 1 reply @peterjackson2625 1 month ago When we were taught calculus, we ALWAYS started with differentiation. It should be noted that text books are titled "Differentiated Calculus" or "infinitesimal Calculus" because that is the basis of the technology. 2 Reply @BJKage 3 months ago I am AuDHD, really good in languages and very bad at math. Really wanted to give it a try, but at about 8 minutes I have seen roller coaster and the moment was gone. 3 Reply @jimbrooks2944 9 months ago AP Calculus teacher for several years. Keeping with the idea of the rectangle, you could say that the "f(x)" part of the integrand is the height of the rectangle and the "dx" part of the integrand is the width of the rectangle (dx being infinitely small!). Nice video. 54 Reply 15 replies @ramyafennell4615 8 months ago Lovely...Im 76, no maths since 16, and you got me, thanks. 4 Reply @lifealliancegroup 1 month ago @3:06, We were taught that this is known as, or is called, an, "Irregular Shape", that's what it is called, instead of a squiggly. 2 Reply @8888Rik 9 months ago I have a fairly strong math background, although I eventually earned my Ph.D. in evolutionary biology, and I found these very basic, verbal descriptions of integrals and derivatives to be crystal clear. Excellent job of explanation of the fundamental concepts. 199 Reply 20 replies @RichardFish-hl3fv 2 months ago I loved math but when I was in college I stumbled on an advanced Geometry. I really have been nervous about trying Calculus but am now eagerly trying to learn it through your instructions. I am well past my 86th birthday. 1 Reply @agun214 9 months ago this video addresses the WHY of calculus very well. learning the HOW should be much easier (i would love a HOW video lol) 11 Reply 2 replies @VroodenTheGreat 3 months ago The beauty if the integral is that once, you calculate it, you don't know if it's right... fun class. One cool thing I noticed when I was young, if you multiply 2 lengths, you get area, if you multiply 3, you get volume. 1 Reply @OregonMikeH 7 months ago Thank You, I'm a 68 year old retired Pilot. I had a good GPA in College. I took 16 to 18 credit hours per term via the GI Bill at Mt. Hood CC in Troutdale, OR. for 3 years. I Majored in Business Aviation. I received Ds and Fs in advanced math to include even Algebra. I struggled so hard and sweated blood getting through the required math. It always angered me that the College was simply padding its tuition charges by requiring a level of math higher than necessary for my occupational goal. I had to higher a Private Tutor and take ever single math course twice! Think You, your Host Demeanor is outstanding and although I wont need to practice math I'm incited by your teaching style to look into your course links. I wish to heck you had been my teacher all those years ago! Outstanding Video that I will likely be sharing multiple times in the future. Blessings to YA from Oregon. Mike. 19 Reply 4 replies @kurtsassenfeld9850 8 months ago Thank you! Finally after 50 years I get what calculus is about. 2 Reply @JeffreyBrown-f4e 2 months ago My university had THREE SEMESTERS of Calculus for my bachelor's degree! Now I work at a bowling alley. 21 Reply 7 replies @CatchLightAnne 2 days ago Thank you!!! I will sleep soundly tonight. Reply @dannymoore1530 6 days ago I'm 73 and calulus was my nemesis until I viewed your explanation. Thank you! Reply @benkanobe7500 9 months ago I'm a 70 year old retired mechanical engineer. My "math" skills are fading. I practice my algebra with your YouTube questions. However, I would like to go back to the foundations of numbers and work all the way through Calculus again. Do you do Trig and Geometry as well? How do I find out enough to know where to start in your system of learning? I really enjoy your teaching and wish I had teachers/professors like you when I was in High School and College. So, how do I get started? Would Aunt Sally know? 31 Reply 4 replies @joseorlandoladinovelazquez653 13 hours ago Excelente explicación para entender la Integral. Seguiré viendo. Bogota Colombia Reply @howardanderson7569 7 months ago (edited) Yes! Showing integration first is the way to go. All of the calculus books I know of start with differentiation. Hard to visualize. I'm 82 with MS in math. I think the books show differentiation first because all functions can be easily differentiated. However not all functions can be easily integrated. I think showing the integration example of rectangles should be done at least as an introduction and THEN start teaching differentiation. Provides essential motivation in my opinion! BTW I have always remembered this differentiation problem from my first calculus book: "A bullet penetrates a tree 12 inches in .01 seconds. Assuming uniform deceleration, how fast was the bullet traveling when it entered the tree." Seems almost impossible but calculus lets you solve it easily... 27 Reply 5 replies @jerryweninger1751 2 weeks ago Thank you, thank you, for clearing up so much of my ignorance and confusion on Calculus. After watching the video, I can tell everyone that I'm now definitely confused, but on a much higher level than before 1 Reply @emptech 7 months ago Where were you when I first started taking calculus over 50 years ago. It's such a simple way to explain the basic idea. Of course, where would we see your neat little lesson, certainly not in the front of a calculus book. Thanks for presenting - Jim 5 Reply 1 reply @romescala_aban3125 8 months ago I finished my 13 units of calculus in 1 one half year ...we used txbook calculus with analytic geometry by Edwin Purcell...it's about concepts of rate of change, limits, maximum & minimum, area under the curve( called integration) , the first phase is about differentiation ...etc 2 Reply @ChristopherSmith-j9x 6 months ago (edited) You should show how the formulas were derived for the circle rectangle and triangle using calculus that would be far better than starting with the curve. 7 Reply @niazghumro2350 8 months ago It gives me immense pleasure to explain cslculus in differential and integral form. 1 Reply @russelllomando8460 9 months ago thanks for the lesson. 3 Reply @roberthohlt469 3 months ago Back a few decades ago when I routinely failed higher math, this would have been just what I needed. Back then we did not have the internet or YouTube.. I believe I finally passed my higher math because of instructor mercy / sympathy. Reply @rudolphgaroa1960 8 months ago Let’s just say I’m one of those who never cared for math since my beginning.. (apologies for my ignorance.) but after seeing that movie about some African Americans who were put in at NASA and that one lady was doing all the calculations of trajecories, etc. leading to the success of US space craft launch and safe return… I it really struck me what math (or ..is this calculus?).. and then seeing this beautiful video of yours… I’m starting to see how she started off and getting to where she did at NASA. Now.. I’d like to know more about this once never liked subject…. No rush… maybe start slow… Thank you! 9 Reply 1 reply @ajjingunia 8 months ago missed my first calc class because of family reasons - this was extremely helpful. Thanks~ 1 Reply @onbeyondzen 1 month ago Loved the intro to integration until you neglected to tell us how to figure out f (x), i.e., how you figure out the equation that creates the quiggly line on the graph. That's kind of the punch line, isn't it? 5 Reply 1 reply @markmehling5347 1 month ago How about a class on HOW TO USE IT IN EVERY DAY LIFE! Did it in high school and college and never used it as a pilot, military officer, or flying a private business jet for a company owned by one of the richest men on earth. Cool to know but never used it in 55 years… looking forward to your new class… 2 Reply @marine-002 8 months ago it's used in quantizing and sampling an analog sinosidial wave to digitize it for a computer. for instance, digitizing an analog audio into MP3 file to store and play on computer. sinosidial waves don't mean ano directly to a computer. The sampling size determines the number of those rectangles for optimal precision and fidelity to the original wave. bigger sampling size means more rectangles, more fidelity, bigger file size but better digital sound quality. 7 Reply 1 reply @LouSmorals2066 1 month ago My God - I'm 59 yrs old now. I was OK at maths at school up until we got to "pure maths" - whatever that means . . . I just remember my brain starting to fry at around that time. Then without so much as the first 10 minutes worth of your video here, we launched off into oblivion for a year where I fell out completely with what was going on. Mate - I love your clear and easy to follow introduction. 1 Reply @TeddyCavachon 8 months ago The problem I had learning math as an Advanced Placement high school student back in 1967-70 (the AP program didn’t start in the Chicago Public Schools until my sophomore year) was an inability to visualize what the results were the way they can be now with a 3D calculator app on a computer or there being any practical application. It retrospect I wished that Calculus wasn’t taught as a separate abstract subject but rather as an adjunct to teaching Physics or basic mechanical engineering. In other words first represent a tangible example to solve then show what formula is needed. 4 Reply 2 replies @jameslyons4919 7 months ago (edited) I just watched up to the 7:00 minute mark of this video and I love it so much so far as this part of the video is describing what got me interested in Calculus and higher mathematics back in 1993. back then I figured out that just insert a bunch rectangles under the curve and add up the area of all rectangles to get a approximation of the area under the curve or have the rectangles top mid point intersect the line of the curve where you have half of rectangles above it and half below it sort of speak. If you don't know the area of the rectangles just find the summation height of all the rectangles added together then multiply it by the width of the rectangles. I learned that procedure by applying the distribution property of binary operations all on my own. Latter I learned that if you have an equation of a curve then you can find the exact area. If y = X squared then it becomes y = X cubed divided by 3 to make a long story short! Where Y = the area. 2 Reply @DrinkingStar 7 months ago Excellent introduction as to what calculus does and when you want to use it. This should be taught in all intro calculus courses. The best teachers start by placing themselves at the knowledge level of the student new to the subject(= knows nothing about the subject) and gradually, small step by small step, explain and demonstrate when to use and how to do, in this case, the math.. 7 Reply 2 replies @IdMansour 1 month ago Thank you so much, God blees🎉❤🎉 2 Reply @don911donny9 9 months ago Having a reference to real-world examples is extremely helpful, concepts without practical applications are much harder to grasp and retain. The accelerating bodies examples for derivatives are very useful, just need the same for areas under squiggly curves…. 12 Reply 1 reply @CoachSweetman 3 months ago I am so glad that I had my Math Teachers. My school had 28 students scored 800 on the Math College boards and 66% scored 700 of above. My college placed me in junior level math and physics class my first year and I found 35 of my previous high school students in advanced placement, as well. 2 Reply 1 reply @jaodell1 9 months ago Interesting, but yes it explains what calculus can do but it didn't explain how it works which was what the title of the video promised! 25 Reply 1 reply @sweetdragon36067 2 months ago Thanks for opening my mind to what calculus actually is. It should be easier to build my space ship... 1 Reply @paulfrank8738 9 months ago (edited) I like to think of the the integral format (f(x) dx) as y * x, which is the area formula for a rectangle. f(x) = y (at least it does when you use y for the vertical scale, like he did in this video). and dx represents (the infinitesimally small) x. So f(x) dx = y * x. The integral symbol in front of it means to add all of those tiny areas together. Similarly, I like to think of the derivative format (dy/dx) as the equation for the slope of the curve, which is the rise (y) over the run (x) at that single point of the formula (which is represented by putting the "d" in front of the variables. The slope of a curve also means the rate at which the formula is changing at that point (i.e. acceleration). So, the derivative is the slope or rate of change of the formula for every value of x. 7 Reply 3 replies @githice 6 months ago (edited) at the age of 53, a qualified engineer, I have come back to the basics to differentiation and Integration because despite passing my previous exams, I have never truly understood how they are useful in real life ... then I found you .... the only person in my life who has explained in simple language the Application and importance of calculus, THANK YOU. With this knowledge now I shall be able to help my 13yo gal with her calculus and STEM Reply @paullb2440 8 months ago Nice start but would have been clearer if you explained that the shape of the “squiggle” is given by y = f(x) then area of each rectangle is an tiny width dx times the height y at that point given by A = f(x) dx. The area under the curve is then the sum (integral) of all those rectangles and is more accurate as dx tends to zero (ie the smaller you make the width of each rectangle). 10 Reply 1 reply @jeffhill6861 2 months ago I just stumbled onto your YouTube channel a few days ago. Although I am retired and haven't used any advanced math for years (never did learn or use calculus) I am very excited. I am going to start by refreshing my algebra skills and work through your program so I can help my grandkids and the neighborhood kids with their math skills. Thank you! Reply @YogiMcCaw 9 months ago (edited) So, what I'm getting from this as a non-math guy (think high school algebra and basic geometry with a smattering of trig - all several decades ago), is that calculus is basically a really great way of estimating things that are really difficult to get exact solutions for. I see that making rectangles of increasingly smaller width makes the estimation ever closer to the real solution, which becomes like a limit you can get infinitely close to without ever reaching exactly. Like, cut it in half, and then half it again, and again, etc. Then you need a computer to add up the area of your 10 million rectangles, and hope that it's as close as you'll ever need. it still begs the question: what is the EXACT solution? Is that even possible? 9 Reply 1 reply @dougsinclair4916 10 days ago from an old math professor. this is good. Reply @feralbluee 6 months ago (edited) I still don’t get what the formula does? What number is x and where do you it from? I get what is being figured out here, but not how! That’s the main problem! It’s like watching a red ball going down in a whirlpool, only I can’t keep my eyes on the ball cause it’s making so dizzy, I can’t think. However, I loved statistics, which I learned for my psych degree. Help!⚡️:) 3 Reply 1 reply @OldPannonian 1 month ago (edited) After this video on integration, what would be the next logical video, where you would touch on the actual function itself and where the formula would come from? I am 83 years old, but still mentally competent........❤ 1 Reply @orglancs 3 months ago I have watched dozens of YT videos in an effort to understand calculus. I always collapse after a few minutes at most. With this one I lost it mostly by 6 minutes and by ten minutes it had disappeared into a cloud of smoke. Every statement generates many questions that you just glide over, as if they don't exist. 6 Reply @2gameplan 2 weeks ago Excellent description. Easy to understand. Actually exciting for a 75+ year old! Reply @davereynolds739 9 months ago (edited) What I find interesting is how the formulas of the various shapes relate to Calculus: Volume(Cone) = (1/3)pi(r^3) By differentiating the above (a cone can be thought as stacked concentric circles), Area(Circle) = (1/3)*3pi(r^2) = pi*r^2 By differentiating the above (pi*r^2), Circumference(Circle) = 2pi*r. You can do the same in reverse (Integration). This also works with other shapes (cylinders, pyramids, etc.) Calculus is great! 4 Reply 3 replies @user-ww1bl4lz3q 2 weeks ago Thx where were you 42 years ago I stumbled on this class during college years. And btw there were no you tube at that times Reply @muhammadjamil3413 9 months ago (edited) Instead of just teaching concept for 10mins if you could just solve 2 practical problems in 5mins with real numbers would make it more clear. Your example is like learning to speak a language explained on black board without speaking a word. 8 Reply 1 reply @aleksandarmilenkovic5861 9 months ago Funny thing is that you never bothered to explain how to measure and obtain concrete quantities. 8 Reply 2 replies @utube7917 2 weeks ago I solve these car questions differently for police accident investigation, as an accident reconstructionist. Someone smarter than me discovered all of the formulas for basically everything i have to solve, which does get pretty complex sometimes. As for this example, we know that gravity makes an object accelerate at a rate of 32.2 feet per second, per second. The only thing that keeps your car on the road is the force of gravity pushing down and the coefficient of friction value of the surface youre driving on. We take a drag sled, which is basically half a car tire with concrete in it for weight and we measure the weight of the sled and the weight of the force used to pull it horizontally on a level area of a given surface. Force value divided by the weight = the coefficient of friction. Then we can multiply that by a mathematical constant to give the acceleration or deceleration value. Using this we can determine a velocity in feet per second or convert that to miles per hour for a vehicle accelerating from a stop to a given time. However, if the gas pedal input changes, then you will have a changing factor and will need to approach this differently. If you cant determine the acc factor from the start, then you may be able to determine it other ways by working backwards, such as a pedestrian being hit and thrown (different formula), the crash data recorder, or skid to stop etc, etc. It gets crazier and crazier as you add in the slope of the road, super elevation across the road, multiple surfaces all with different friction, braking efficiency in esch wheel, various impacts along the way. Impacts that cause a vehicle to spin gets into the calculation of the center of mass while accounting for all passengers and cargo, the principle direction of force, approach and departure angles, etc, etc. Lots of crazy scenarios in real life, like the vehicle rolling, cartwheeling or vaulting. I never liked math or thought id ever use it, but i do use algebra and physics in forensic calculations, which is satisfying to solve. So i was curious what calculus was, as ive never taken the class or understood what it was for. 1 Reply @GregWilliams-Dallas 3 months ago Calculus is not hard; it's difficult. Do you think English propriety is "hard?" 3 Reply 2 replies @dananz42 7 months ago I am 83 and left school at gr 10. Spent all my life in electronics and chemistry avoiding calculus. Thanks for basic understanding with examples busy maths teachers can’t find time for Reply @davidslone9776 2 months ago If you are trying to make this easy to understand, you failed. 6 Reply 2 replies @WillardCHooksJrPh.D 10 days ago I am virtually self-taught in derivative calculus and mastered it for several years, but my grasp of integration was incomplete because I did not understand the precision of the calculation. I never enrolled in a calculus class. Your explanation was intuitive and helped to unlock a key component in the Gaussian curve and other curves. Groovy! ...not too late. Reply @brandskovian5750 8 months ago Bruh! This video would be 10/10 if you had given examples and followed them through to the answers. 2 Reply 1 reply @tonytypesalot 1 month ago John, ignore the haters. I mean, I see that you do because you continue to post videos. I took a pre-calculus course in college, got an F the first time and a C the second time. The thing that made it so hard for me Was manifold, but one of the aspects of its difficulty for me was I did not understand the purpose of calculus. Pure mathematics do not interest me, but if I know where to apply it, it’s easier to grasp and more tolerable to undertake as a form of study. I learned more about calculus in this video than I did in a pre-calculus course that I took twice in college. why? Because now I understand it’s purpose.😊 Thank you. God bless you, sir. 1 Reply @paulelliott5244 9 months ago 20 minutes of blah blah what a waste of time did not learn a thing no just watched a l20 minutes ad for your course 7 Reply @Sourpusscandy 2 weeks ago I didn’t really get it until jr yr of college in economics, plugging the numbers into Lotus 123 and plotting charts. Reply @ThomasFromTN 9 days ago I was always pretty good at math. But for the most part I found it tedious. It was only when I took my first calculus course that math was something beyond just something I had to do. The first time I enjoyed taking a math course for the sake of taking the course. Reply @rwekazamugasha6448 1 month ago I am 70+ enjoying the basics of calculus. Keep it up Reply @norbertwilfredban6743 8 months ago Best and the most simplified and realistic explanation I am ever exposed to...wished you were my maths teacher years ago! Reply @donscheid97 4 months ago My college professor explained it to me as it applied to my studies that you have the answer, and calculus lets you find the equation, for instance building an airplane, you know how much you want to carry and how strong the engine is, now you want to know what size and shape the wing will need to be. Reply @DavidSharma-qy6yt 8 months ago now, this is what I call a teacher teaching maths. I always had a problem understanding maths. Simply put, my teachers were unable to explain it to me well. Reply @ananwongpinyochit4919 2 months ago Thanks for the basic calculus lesson. Now I know what is the purpose of learning calculus. Reply @marinakonstantopoulos1703 3 weeks ago I never understood what it was used for and failed it in my first year and now at 79 I finally understand it’s use thanks Reply @jeannettebeavers4525 3 weeks ago (edited) This should be taught day one in calculus instead of limits, which throws everyone off... Limits should come later, when understanding what the actual point of calculus is which determining volumes and slopes of function curves - Great video! Kind of makes you mad when education systems provide products (concepts and ideas) that don't really ensure that you learn the concept and the point of the ideas Reply @charliejg 7 months ago Flashbacks to the proof of the definite integral at the end of Calc 1. I'll never forget how this made my day. I took physics in electronics school back in the early 80s and it was done entire algebra based. We focused heavily on deriving formulas from other known formulas using things like substitution. Then, around 1989 I went to college and I took Calc 1. My head exploded learning how much brain smoking I could have avoided back in electronics school had I known how to use first and second derivative to calculate velocity and acceleration. Fun times!!! Thanks for the throwback! Reply @gorongo4202 8 months ago 50 years ago a teacher tried this method to teach me integrals. Without examples he failed to teach and I failed to learn. That was my last brush with math teachers. Still ended up working in banking, finance and ultimately aerospace. Reply @agustinob1 7 months ago I took calculus I approximately 15 years ago when I attempted to start an engineering program . I never understood what was calculus used for. I never understood what a function or derivatives were used for. I was always an straight A student in math, but calculus became really confusing for me. Now I realize I did not have an instructor with the skills to simplify complex concepts. Thank you so much, sir. for helping understand these concepts THAT NOW I SEE THEIR USEFULNESS. instructors like you help many bright students not to give up easily on difficult subjects. thumbs up to the way you teach Reply @ThatGuy-kv1kw 1 month ago the purpose of calculus is a short cut to solving multivariate equations, at first you learn algebra to solve them. and the equations are to identify relationships between variables. 1 Reply @mdjaved100 2 weeks ago One of the best explanation of calculus and derivatives. I have done very well in the Cal classes, but struggled to understand the meaning behind it..... Thank you @tabletclass to breaking the complex concept into a piece of cake. School needs teachers like him who is passionate about teaching the topics. Reply @ohiomaohioma1931 2 months ago Thank you so much.👏🏽👏🏽👏🏽👍🏻👍🏻👍🏻👏🏽 I actually understood in minutes what my Math teachers failed to help me understand in 3yrs of high school! Reply @larrycrabs5995 3 weeks ago When I took calculus, this was taught in Calc II. Calc I was all about differentials and Calc II was intergrals. Reply @remistuczynski2768 2 weeks ago Great and simple explanation! Absolutely helps to wrap your head around it! Thank you and Newton 😉 Reply @SergeyPazychev 8 months ago Thank you ! This this the best explanation I have ever heard! 1 Reply @riskybusiness3413 12 days ago I kind of understand. Math, for me, has always been a question of 'why' & 'what's the purpose.' Why do we need this or that equation to figure something out. More real world examples would be very helpful. Finding area might be explained by the desire to lay a carpet in a weird shaped room with no specific baseboard angles. Guess that's why they call some throw rugs as 'area rugs/carpet'. Knowing the precise dimensions /measurements of a floorspace, you could theoretically send the custom carpet maker just the numbers and they'd be able to cut the carpet to the exact size of the floor so no extra cutting will be needed post delivery. Or using calculus to figure out the exact velocity, thrust, weight, altitude, trajectory and time of a rocket when the 'O' ring failed until the time the rocket exploded just after liftoff. Air pressure, air temperature and ground clearance plus a bunch of other factors also play(ed) a huge part of the Challenger disaster back in '86. Just the idea of trying to figure out all that important stuff with a basic scientific calculator is overwhelming. You'd have to be able to plug in some known variables to find the answers. Now I remember why I hated math. Reply @patrickcarlson1400 8 months ago (edited) I'm not a math student and actually retired, but I have been educated to advanced calc, as well as Laplace transform, but that was 41 years ago, so it's just interesting to kinda job the brain a bit, I was in electrical engineering Reply @tonywtyt 8 months ago I'm well in to my 60's and the last time I looked at Calc was in high school, so this was a great reminder of what it was about. I do remember thinking that Calc made some parts of Algebra easier... If I remember, I think I recall feeling like derivatives were shortcuts to Algebraic operations. Reply @austintone 8 months ago I have no math background beyond high school, and no calculus at all, so thank you for this video! I would think in the car acceleration problem, it would be hard to solve unless you knew that the rate of acceleration in that car was steady. What if the motor in a particular car happens to accelerate faster over the first half of its run, slower over the second half ? And visa versa in another car? How could you ever solve a problem like this? In the area under a squiggly problem, you must be somehow dealing with infinity because those rectangles are going to have to be infinitely narrow to get an accurate answer. Or does calculus deal only with approximations? 2 Reply @aninditachaudhary 3 months ago Thank you for explaining the Concept or Gist of Calculus. Most people learn it but do not know how to apply it in life. Thank you once again! Reply @markclum4828 3 months ago I was still working 40 per week while finishing my 2 year degree in electrical/electronics. Interesting part is I needed calculus in order to do my job, so the engineers were showing me how to do the work on my calculator and write reports for them. Reply @cynic150 1 month ago I could have worked that out myself. What about d and x???? 1 Reply @mayito714 7 months ago The hardest part of Calculus is after the basic theorems are applied the problem solution turns into an Algebra and/or trigonometry challenge and you must be well versed in those two subjects. Reply @AnthonyubaJen 2 months ago The teaching method is what makes all the difference between a good teacher and a bad teacher. It is not the subject. But how the subject is explained. ❤ Reply @BitwiseMobile 8 months ago This is how integral and differential calculus was taught to me in lower division. Ironically I took lower division at community college and transferred to the University in the 3rd year. It was a huge change, not just culturally, but the teaching style is much different. They assumed you had learned things from lower division, understandably, and when I didn't apply those unlearned techniques I was dinged. We didn't spend time going over proofs in Math 200-220 at the community college level. We were taught intuitively and I'm actually thankful for that. Now differential equations are an entirely different beast. ;) Reply @Dave-zs7uo 7 months ago Archimedes was calculating volumes of geometric shapes in the BC time frame. His writings are in a palimpsest that has been published in our time. Reply @robbenmitchell2286 1 month ago (edited) It seems like it so crude in ways but wow. How to use something simple yet incredible. Kinda makes you think what a genius sees. Most people can't see what what a genius sees, just seeing what is invisible to us. Reply @bobboscarato1313 8 months ago I found out calculus very difficult to comprehend and we were supposed to memorize 120 formulas. I gave up on the engineering profession! No regrets. HVAC business is great. 1 Reply @collectibleknicknacks 1 month ago Thank you! I'm a dad of a highschool freshman and need to relearn this to help out in homeworks😂.... sometimes Math is not math like Mr. Incredible said Reply @skeansmith 9 months ago The basis for all PID loops which has totally transformed industry! 1 Reply @thomthumbe 3 weeks ago I found this video to be crystal clear. I haven’t used “calculus” for many years, and even then I didn’t do much with it. I have been cruising the INTERNET for calculus tutorials because now I want to learn it. I think it would be good to add to this video that since there is no exact way to mathematically describe the curve, or squiggle….all that is being said here is that any answer is going to be as accurate as you want the answer to be. Kinda like pi….there is no perfectly accurate result. Decide how fine of an answer you need and then that is good enough. The size of your sampling mesh defines the needed result. How many decimal points do you need to see before you run out of time or capability to calculate? Reply @carlfaulstick8916 7 months ago Decades ago, I based my education/career path on whether or not calculus was required. Oh, how good it would have been to have calculus explained this way. It would have alleviated much anxiety. 1 Reply 1 reply @GeoFry3 8 days ago I like the physical way they used to do this quickly pre-computer. Step 1: Graph your data on paper Step 2: Precisely cut out the curve and cut out 1 unit of area. Step 3: Weigh the single unit paper cutout and curve cut out. Use the two weights to find the area. Reply @rockerobertson4002 8 months ago This was integral to my progress! Tks Reply @Ray-cr3ty 1 month ago Good job, but I wish you had provided a numerical exam for your lesson here. That would have nailed the concept down for me. 🙏🏻 Reply @McGeeification 3 months ago (edited) This commentary works because it helps the non-mathematician understand the kinds of questions human beings ask about various kinds of phenomena in the world. I am interested in understanding the significance of non-Euclidean geometry at some point as I move through your videos. Reply @nevillenicholas6335 7 months ago Great video. I am 72, and did quite well at math and calculus at school and varsity, but always struggled relating calculus to practical situations. Taking your baseball example, I would ask myself "why do I want to know what its speed is at 0.78 seconds?" Reply @kastooMcFry 8 months ago Thank you. I understand math fairly well but it is difficult to explain it to someoneone that doesn't. I was asked to explain this to a student so your emplanation will be a good method to follow. Reply @soaringbob 7 months ago If my high school math teacher would have explained calculus like this at the beginning of the school year, I think his teachings would have made much more sense the rest of the year! As it now stands, and this is many, many years later, all I remember about my calculus class was that it had to do with generating a lot of those squiggly lines on graph paper shaped like oscillating radio waves and parabolas, and I just saw no use for them at the time. That was high school back in the mid 60's where I took algebra I, geometry, algebra II, and in my senior year the class was called math analysis, which was a combination of trigonometry and calculus. I disliked junior college to the point of dropping out to join the military, so let's just say my high school math classes, as a C average student throughout, was as far as I ventured in math learning. When my enlistment ended, a largish electrical connector company gave me a simple job which lead to serving an apprenticeship to become a mold and tool & die maker, and wow, was there a lot of math that went with that job! Out of a dozen or so beginning apprentices, a buddy and I aced the onslaught of math testing to the point that we were both advanced a couple of years in the four year program, so what math I did learn came in very handy! I retired almost 20 years ago, a few years earlier than 65, so what math I did retain from high school came in very handy. My tool & die career required mostly trigonometry, but geometry and a little algebra also was needed, but I remember no use for calculus in 38 years on the job. During my apprenticeship math testing there was one question I'm sure I missed that did require calculus, but since calculus was not explained very convincingly by my high school teacher, I didn't know it at the time. My buddy, who had earned his AA, was proficient in calculus and was able to let me know how he got that one math problem right. The problem required calculating the length of a fish, when only a small portion of it was labelled with a partial length. There must have been more to it, but that is all I remember, and it still has me stumped! Kids, the moral of the story is, do pay attention in math class, as you never know what uses for math you may bump into later in life! Reply @waynehendrix4806 3 months ago (edited) When I learned that one crazy shape was acceleration, it all came together for me. I later wished that my high school physics teacher had talked with my high school calculus teacher. Reply @2002budokan 3 weeks ago The title is misleading I thought that you made a 20 mins video of the Thompson's book with the same title but what I found is just an example of numeric integration. Reply @kapalik68 1 month ago The VDO is super. So easy to understand. Reply @markusanderson1517 9 months ago Great explanations. Thank you. 1 Reply @ahmadabboud1535 7 months ago Thank you for this video. I scored around 30/100 in mathematics at the age of 14. At 18, I attempted to complete an advanced diploma, but dropped the course because of Calculus (I lasted 25 minutes in the first lesson trying to understand what it was about). Now at 30 and on stimulants, I don't think it is hard at all to learn after watching the video, it makes perfect sense and you explain it extremely well. I wish people taught the how's and why's behind mathematics, instead of just attempting to drill formulas. I enjoy philosophy but I never enjoyed mathematics growing up as a kid. Reply @areeratasudhasirikul952 1 month ago Than you. You explain very clear! Reply @PaulDickinson-us4cp 2 months ago Hi John. I have a question for you. If you start with a horizontal propane cylinder (they call it a cigar tank in some circles), that is partially full, but because of the combined shapes, it seems to be difficult to measure the volume of how much liquid is in the tank by determining the measured vertical height of the liquid from the bottom of the tank. say the tank is 1.2 meters high, and the measured level is .5 meters from the tank bottom. Maybe this could be solved geometrically, but how would you solve this problem with calculus? 1 Reply @douglaslastname2022 11 days ago Each of the vertical rectangles used as sample measurements may be more accurately used if the mid-point of the top of those were used in the equation. There is a loss of area when that isn't taken in to account. The tendency to increase the sample rate is the compensation for the loss. Even at an extreme sample rate, dividing that by a factor of two becomes twice as accurate. Reply @shripatideshmukh3892 3 weeks ago Iam seventy years old your teaching method inspired me to learn calcules Reply @prdevi7633 8 months ago Pls do such basic understanding vedios on all concepts.thank u bro Reply @rmjackman 8 months ago An estimate is an approximate calculation or evaluation, and an estimation is the process of approximately calculating or evaluating. So an estimate is the result of estimation. Reply @RajKumarKC-wp1ml 3 months ago Im MA economics student in Nepal. Its really really useful. Thank you so much. Reply @warrenwells3226 9 months ago This video is extremely basic. Good job if that was your goal, but I would prefer to see some of the complex math used to get the solution. I realize that I may not understand it completely, but it would be nice to see how much I still need to learn. 1 Reply @thedubwhisperer2157 2 months ago (edited) I always understood this much about integration; what I never understood was how to derive the function to start with to find the area! Reply @jeromekaidor7254 7 months ago Excellent video! I made it though first semester calculus in the late 70's. Summer class. 4 or 5 hours of lecture every day, and a test every week. Pretty brutal. Pocket calculators were becoming a thing in those years, and I had obtained a Commodore PR-100 programmable. I wrote a program on it to calculate Pi by dividing a quarter unit circle into lots and lots of rectangles. Fun-fun-fun :). Reply @boboharperoldbobostillhere7588 2 months ago Have a grad degree in Electrical Engineering. Had a ton of math in college, Calc I/II, Diff EQ's, Linear Algebra, Laplace and Fourier Analysis, Statistical Analysis w/ Calculus, Statics and Dynamics with Calculus, and a ton of control systems math and other math. I never used any of that math during my entire career, and I very quickly forgot all that math. All I still know is basic arithmetic! My son graduated with a Masters in engineering too. He would show me all the math he was working on, and although it may have seemed vaguely familiar, the fact that I couldn't do any of it just made me feel stupid. Math is one of those if you don't use it you lose it things!! Reply @Johnslist 7 months ago Impressive. Of course I know this, but clicked on the served video because not only do I like the absolute basics (it's a better way to teach) but I like to know things enough so I can teach others. Only then do you really know something (a better way to learn). I didn't have calc in high school, but then went through it and linear algebra in college and assumed high school calc was probably like pre-calc, which I also didn't really have. There's no reason this can't be taught at earlier age - we really need to start pushing our kids more, not in a stressful way but an achievement way. So many opportunities these days. Reply @Bashalidu 6 months ago please I want a full course on calculus Reply @peterbedford2610 2 months ago The curve has a formula that makes it go where you see it going. Plugging this formula in to a length on the X axis gives you its area. Reply @mrcryptozoic817 8 months ago I've never had calculus described before, but now...As a computer programmer, I suspected calculus was a "loop until" statement, with some number of variables. And obviously, you can write a loop within a loop. Reply @pthogy 2 months ago A chart of the car accelerating and related to the general explanation would solidify understanding but great video Reply @RobertOtani-l8w 5 months ago Yes, I finished my engineering course 20 years ago without really understand calculus. Tnx sir Reply @BadlyAnimatedGoose 8 months ago 15:40 mmmkay? Pure Southpark right there 😂 great video thx ❤ Reply @johnfreeman2743 3 months ago I loved your video. As a young high student in the 1960's I was well prepared with algebra, trigonometry, including spherical trig, I was ready for college in my quest to become an aerospace engineer. However, I was introduced to Calculus in my freshman year, and I really didn't understand Calculus or integrals, until one day I asked the Instructor, " What Good is Calculus"? He said " Do you know why a beer can is this diameter and this high? He then proceeded to use Calculus to show that a beer can, and soda can, are what they are because you can show by calculus that the reason a beer can is the diameter and height is because if provides for the maximum volume with the least amount of surface containment, which means most volume for least amount of aluminum. Reply @NeedForRead 2 weeks ago Love and respect Thank you Reply @JohnDoe-pm3oq 7 months ago Calculus was always my favorite mathematics because it is so powerful. Reply @Simontolivar 3 months ago Amazing this was invented in an era of cart horses , straw thatched roofs & rusty swords in leather scabbards. 1 Reply @vics-videos 1 month ago About area under a curve, there is a PRE-question which also needs to be answered so I know when to use this material. The question is WHY would I want to compute the area under a curve? Reply @richardl6751 9 months ago Ball drop. 2.7386 seconds. 59.75MPH. 2 Reply @keything8487 7 months ago so how fast was the car accelerating at 3 seconds !!!???? damnit, ya cant leave us hanging !!!!! Reply @Solaboder 2 months ago Thanks for explaining WHAT calculus is used for... None of my math teachers at year 11 and 12 in school or tertiary education EVER explained what it was used for, they only tried to show us how to calculate the formulas, IE; solve math questions using the formula. It never stuck because I couldn't see a practical use. Unlike Geometry and Trig and basic algebra which I have used my whole career (50y). Reply @robertcasey2490 7 months ago I enjoyed calculus so much I took it twice. 1 Reply @MeesterSickguy 2 weeks ago Noob question - is there an equation that makes adding up all the rectangles fast? I imagine with a fixed widths, its just fixed W * changing L - then add up the sums? This is something that can be made easy in AutoCAD. Cool video. Gonna watch some more. Reply @raedabdelhamid2828 1 month ago Thanxxxxxxxx Are there more or follow ups simple calculus lessons? Reply @alanrose4827 2 months ago (edited) The rectangles we use centre so a bit is above a bit below the curve, related to Simpson's Rule. If you only use below the line your result is too small. The equations of motion solve such problems, you may need to algebraically reform them. For motion over distance use dx/dt. Reply @ratbatcat9 2 months ago i wish i would have seen this before my engineering Reply @markrosier6889 8 months ago Thanks, all very interesting concepts and ideas. Reply @Peter-d5l4c 3 months ago That was interesting and if I could only stretch out the squiggly noodle to measure it I could figure out the area.Great first lesson. Reply @designaids 1 month ago Thank you so much for explaining the concept of calculus, what is next step to actually be able to at least solve the problems mentioned in your video to start with I am 53 and someone already said that I like to learn it without the pressure of earning grades and timeline 😊 Reply @GeneGirard007 7 months ago You demonstrated derivatives using two examples. One had a constant acceleration of 32 ft/sec² (gravity). The other example was unclear - possibly a car that might have been decelerating when you analyzed it, especially if the clutch was disengaged, disconnecting the wheels from power while friction slowed it down. I still struggle with an intuitive understanding of derivatives. For integrals, it would have helped if you'd explained why the area under a curve represents an integral. I completed college-track mathematics many years ago, with my final course being Mathematical Analysis. Of all math concepts, geometry remains clearest to me - I genuinely understand what constitutes a mathematical proof. My teacher was in her final year before retirement. I wish she had taught all my high school math classes Reply @theoutsiders6811 3 weeks ago My head started hurting just listening to you talk. I started day dreaming and same thing happened in classes. Reply @GeorgyBerezin 3 weeks ago 20 minute sales pitch 1 Reply @vics-videos 1 month ago Suggestion for future edits: 0. Start with WHY you would want to compute the area under the curve. What problem(s) does this solve? Without that, there's no reason to learn the rest of it. This is Integral ORIENTATION 101. 1. Remove mentioning Sigma. (just that one mention will lose a percent of your listeners) 2. Define `dx` as the WIDTH of the rectangle. (You can do that before defining what `d` means.) 3. Insert early the problem with the rectangles is the ERROR, and point out the error is the gaps. 4. Then solve the problem of the GAPS by making the gaps smaller and smaller until they too small to matter. 5. That's where the definition of `d` in `dx` comes in. 6. `dx` is DELTA `x`.... Derivative is a whole different topic. You need to define the MOTIVE for reducing `dx` TOWARDS zero to solve the integral.... It's a great proof and could be easily presented on your board. Reply @clmkc5393 9 months ago Describes rate of change, volume and area. 1 Reply @fancynancymacy 2 months ago Thank you. I can see that I am smart enough to learn calculus. Reply @leereichel2785 2 months ago Thanks for making this video!😃 Reply @davebox588 7 months ago I was lucky that I had a great teacher for calculus and can remember what you showed. I recall it being the first time I 'saw' the beauty in maths (I'm a Brit). The missing bit in going back to it, is an example of using it. It would have been great for me if you'd actually used calculus to work out your ball falling or car accelerating. That's the missing part of what I was hoping to remember. In my career I never used calculus, but I'd really like to see how that magic worked again. Reply @LuvlynneTonno 13 days ago This interesting... I really enjoying I want take some lessons Reply @MrArtVendelay 8 months ago When I took calculus in HS in 1969, we had a related rates problem. "A woman was tied to a RR tracks. The train was heading towards her at particular speed and the train was a specific distance from her. Simultaneously, a super hero was heading towards her at a particular speed and he was a particular distance from her." The question the teacher posed was does he make it. Now this was all handwritten and rexographed and the teacher drew a little RR track with a woman tied to it. Turned out, when you solve the related rates problem, the super hero arrives just in time to untie a corpse! Reply @mariowoodrowolleras4893 2 months ago Excellent explanation regarding the calculus math…I appreciate it👏👏👏 Reply @lanceolsun5752 8 months ago That's so cool. More! Reply @MANJESHKUMARV 3 days ago Thanks Reply @FastSolveMath 2 weeks ago This should be used by teachers to introduce th to Calculus...bravo! Reply @Slo-ryde 9 months ago Nice presentation, very clear 😊 Reply @skallamoosh 2 months ago Brilliant, but i would have liked to see the example completed with the answer! I may have missed some of the video (multitasking 😀) but to see how to use "dx" and get an answer would have helped my learning style..Thanks for all these . Reply @JacksonSbaam 3 weeks ago At 7:17 of the video the 'squiggly shape' is shown in effect full of rectangles AND triangles after the presenter draws the rectangles — Why not simply sum the areas of the rectangles and triangles at that point? Reply @cazino4 3 months ago Very well explained, it's great that you're a teacher. I think maths, at high school/six form level, is taught particularly badly at times. Reply @shakirhussain4902 8 months ago Great explanation. Thanks Reply @tnekkc 13 days ago You will need calculus to design switching power supplies. Reply @TheRantingRooster 9 days ago Damn, that made sense. I get it now. Reply @BradPetty030467 7 months ago Does anyone else see the irony? understand calculus in 10 minutes in a 20-minute video? 2 Reply 1 reply @ktkt-g5z 6 months ago If all Maths teachers taught us this way, we would all be very useful mathematicians Reply @chandansourav 8 months ago Thank you Sir 1 Reply @gregorystthomas8390 3 months ago It helps me when I equate derivatives to the types of summaries of a story. The first derivative is a fairly good description of the story (notable high and low points of a story/function) with some details removed (ie. function constants) while subsequent derivatives are the same as more general (less detailed) descriptions. Consequently, while you can make a description from a story, you cannot accurately remake the story from a description since the details are lost (ie. function constants). Reply @ajayburman1500 9 months ago Excellent videos. I am thinking of enrolling in one of the programs to enhance my math skills. Reply @Pitch3rdWingbk 1 month ago For the derivative I would explain it with the idea of finding the slope of a straight line vs. finding the slope of a simple curve at any point… Finding the instantaneous rate of change when the graph is non-linear and thus apparently difficult to find, but it isn’t. Anyway, good instructional video though. Reply @DeeKay-b9i 1 month ago I'd had loved to learn something in the time that I spent listening...silly me 1 Reply @robertferraiuolo3675 2 months ago Thank you!!! Reply @scrollsofvipin 2 months ago Seemingly complex and confusing made simple. Thank you. Why would one want to calculate an area of an odd shape ? A piece of land with an odd shape ? To Find out how much of a paint is required to paint an odd area ? What kind of application in technology ? I wish mathemticians spent time in connecting the dots to real world applications ? Reply @davidmarquez5741 1 month ago $2.00 Thanks! Reply @Nora-o7p 7 months ago Thank you very much! Great job! Reply @amerrehman-c2f 7 months ago Superb. 👌👌. This is the best video I've watched on calculus, the beauty of math. Reply @nancydelu4061 3 months ago When I was a kid, my friend and I wondered if this squished ballooned was the same as the roundish one? Reply @DutchVilla 3 months ago Great video. Thanks. Reply @vilmanator 7 months ago I was actually an excellent student of Calculus way back in college but almost forgot everything about it at my present age (60). Thank you for explaining it so well that made me realized why we need to learn Calculus and the relevance of it. Thank you Sir! 🫡🫡🫡 Reply @mugsmugwump312 8 months ago (edited) This is great. I always understood the purpose of derivatives: instantaneous change, similar to the tangent of a triangle, but different according to X, such as on a parabolic triangle, the parabola being the hypotenuse. But integrals were another story. Derivatives, being the opposite of integrals, would also be viewed as that squiggly line, one dimensional versus the two dimensional integral area. Reply @johncarilloiii7828 2 months ago LMAO, area of a squiggly? Math minor, 33 hours, you had me rolling! Never understood a damn lick of the theory, none! But got very good on applying formulas based on the problem. Memorizing the formulas was a pita too. Reply @johnbeck2797 8 months ago That's a lot of words to illustrate pretty straightforward concepts. In your smaller and smaller rectangle illustration, you might have pointed out that as the rectangles become smaller the calculated area gets closer to the true area, and that calculus allows you to determine what the value would be if you had an infinite number of infinitesimal area rectangles. You hinted at rate of change in velocity as acceleration but words got in the way. Good start, but I think you can do better. 1 Reply @klausolsen9101 8 months ago Very pedagogic. Thanks Reply @HR79631hg 4 months ago Nice video. Only one remark You don’t use SI units. Makes it somehow easier to feel the examples if you do so. Reply @RasielSuarez 7 months ago Thank you! I have no idea why the algo suggested this video for me but glad I did. While I can barely figure out arithmetic I feel like I just peeled the very outermost layer of a new onion :- ) Reply @N.N.NareshKumar 1 month ago This Was Reimann's Fundamental Theoreom / Idea Reply @Gregoriosplace 6 months ago Love it, minus the swallowing. Great job! Reply @conniewalker4282 8 months ago Hey thanks for being a great teacher in my life I appreciate it ❤ Reply @FarleyJamesRedfield 8 months ago Great explanation of calculus Reply @CooperativeProfitable-i1p 2 days ago 6:12 Now I understand the stock market 🕯️🤓 Reply @billywild5440 2 months ago After college I never used calculus again. Only the four basics add subtract multiply and divide. Reply @Lidili 8 months ago Superb amazing wonderful fascinating interesting beautiful and unbelievable very nice and pleasant excellent dazzling and marvelous innovative and creative knowledge of maths and after all I am not able to understand because I am poor in maths as usual the majority of students. I am now 65 years old. Reply @BillStoliker 8 months ago You got me. I taught HS remedial alg/geo1 for years. I'm giving this a shot (at age 75!) Reply @pandesal2022 8 months ago I struggled with this 20 years ago. Reply @normal_norm2627 7 months ago Dang, wish I had you for my college prof. instead of that guy from Czechoslovakia (no hard feelings) I couldn't understand. Reply @davidlee50 8 months ago If I use a string and then mark the whole area to the length of the string then I could also make a large square and use the 3 to 10 markers for unit size and give you the square as the answer. Reply @scottrackley4457 7 months ago I remember learning calculus in high school. Mrs. Gurley (Glinda the Drill Sergeant of the North) drilled us on the Fundamental Theorem Of Calculus (caps intended) for the first week. Like you would the Lord's Prayer. Then I took Calc II and more from Dr. Kuhn, who could teach math to chimps if he wanted. He could explain it better as TCMath does. Reply @itk.r8rsn8k15 12 days ago Where were you when I was in school? Reply @YX4zf3 3 weeks ago This is a great video, as far as it goes. But as I've discovered with other videos explaining calculus, it doesn't go far enough. With a squiggle, as illustrated, how exactly does one go about calculating that area? The squiggle does not have an algebraic formula which neatly fits into a derivative like a parabola (y = x^2). And that, for me, is the most important part about understanding calculus. Reply @GazzMan57 7 months ago Good Video! I had to take 2 semesters of Calc for my BS in Computer Science when I was in my early 20's. I understood this concept and I thought it was really ingenious - shout out to Isaac Newton! Calc 1 was challenging, but I got through it okay. Calc 2 was very difficult because I couldn't memorize all the Trig Functions. I guess I didn't have a very solid understanding of Trig either. Even though I loved math, and still do, I realized that, as hard as I tried, I was not a natural at it. I dropped Calc 2 three times before I managed to pass with a C. Reply @gabirican4813 3 months ago $2.00 Thanks! Reply @StocksTimeLapse 6 months ago love from india. after 32 years of age now i understood the problem and the solution. Reply @markbrackin2760 5 months ago $2.00 Thanks! Reply @yesdavenport 3 months ago I took calculus in high school and got fantastic reaction… But I took it again in college and still didn’t get it!!! Ty for what you do… I already forgot it Reply @George-mn4wf 2 months ago Thanks! I need the help. Reply @georgemalesky9462 4 months ago $9.99 Thanks! Reply @chrisalan8527 1 month ago Alcoholics beware! You should never drink and derive! 1 Reply @kapalik68 1 month ago nice. Increase volume of recording please. Reply @anthonydavella8350 1 month ago Had calculus many years ago. Multi variables and more. I always thought it was wild how certain integrals from zero to infinity could have a real value. Weird Reply @victorlewis3251 8 months ago Wowser! I have been using ¨physical¨, ¨emotional¨ and ¨psychological¨ calculus all my life without knowing it. So, in my feeble head, calculus is taking what you know, choosing the most appropriate knowledge/skill/tool/experience, and applying it to the situation/problem at hand, and by God, you´ll be so close to bang on, the difference will be negligible. If you do need absolute precision, then you call in the pros from Dover to tidy things up. When I retire, hopefully within a year, I´m going to find the best user friendly calc course and start having some Math fun. BTW, I have used your method to find area in real life home repair/maintenance situations tons of time. Thanks for the lesson.😉 Reply @stephenhedge2489 7 months ago (edited) I remember doing this in college (U.K). in1978. I was astounded that the area under a curve gave you distance on, say a graph of varying speed. So, this was a nice refresher. However, the Function you showed for your graph still remains an "unknown" as there is no formula for the curve. So how can you get an answer for the area under the curve from 0 to 10 ? Reply @scottrobinson2678 9 months ago The concept of calculus is easy, but succeeding in a calculus course requires an approach to specific problems by following a script appropriate to the problem. In my case, this required a weekly visit with my calculus TA to go over the scripts or "tricks," as he called them to be able to. use them on exams and problem sets. Reply @shoaibsf6897 4 months ago Impressive way of teaching sir thank you Reply @briancota4544 1 month ago Great TY Reply @normandeplume7533 4 months ago Would have been nice for you to actually solve the area under the curve problem you set up for this demonstration. You know, as an example of how to use calculus to solve this basic problem... Reply @Crub837 1 month ago Thanks 👍 Reply @timothymulholland9056 2 months ago thank you! Reply @Eugene-o6w 1 month ago Lots of talk about finding area of squigle but newer showed how to solver the problem. Reply @homomorphic 8 months ago Any subject can be learned in minutes. It's just a question of how many minutes and whether the number of minutes needs to be expressed in scientific notation in order to fit on the screen. Reply @SysterEuropa 3 months ago Superb! Reply @sureshgattupalli1674 3 months ago Your way of explanation is really awesome. I am from non maths back ground. I am looking for a maths cource with required concepts for machine learning . Do you have any such offering ? Reply @evaristocisneros7682 8 months ago Great teaching! Do you have something for linear math? It’s been awhile since I took my last math course(calculus) and need to refresh at what I’m looking at. I took class and was totally lost first day. Like I needed refresher to get caught up just to start linear math.. Reply @abdulsalam-82 7 months ago Oh no! I wish my teacher told me this. I blindly just learn it focussing on memorising the formulas. I wanted to go back and scold my teachers.😢😢 1 Reply @johnalexander8316 9 months ago The rate of acceleration of the car will decrease the faster it goes. Air resistance, etc will slow the rate of acceleration. I am sure that calculus will be able to cope with this - and other matters. I am a complete non-mathemtician but would love to understand "mathemagics". I shall follow your videos and hope to gain some small understanding Reply @oceanvistaisabela 3 months ago Exct. I teach sat math to isrselis Spain Tokyo and usa. .your vids are great Reply @MathHelp-r6d 4 months ago great content as always!, thank you! Reply @69erthx1138 2 months ago I wanna know it before this video was posted, I'll just use the advanced time Green's function...see ya in the present😀 Reply @alitaimoor1482 2 weeks ago You're not gonna pull my ears if I don't get it, are you? 1 Reply @stacyminchew3493 5 months ago Hi, not really sure what’s your name is but thanks for helping me learn calculus. I’m surprised I understood it cause I’m only in elementary school and I’m only in third grade so thanks bye Reply @billconrad3369 5 months ago Well done! Reply @longcastle4863 7 days ago Does the dx problem assume a consistent / constant / steady rate of acceleration? Reply @royspeakman1157 2 months ago Brilliant ! Reply @mithatkara3096 7 months ago Hello John! , I subscribed and liked the video (but I am confused) ... Why didn't you finish solving the area of the squiggly shape? Is there a second video? Thanks for trying. Reply @MrArtVendelay 8 months ago The ball off the roof problem has a fixed acceleration rate that is known to be 32ft/sec/sec Reply @ShimelesTessema 1 month ago I can solve the acceleration and the fall using formula. I don't need derivatives. v = sqrt(2ad) a being the acceleration or gravitational acceleration and d being distance or height. Reply @craigborgardt7684 7 months ago I was a terrible math student in H.S. but found two professors that knew math and more importantly, knew HOW TO TEACH IT. I aced all of my college math including Calculus 201 and would have taken the 202 course except it wouldn't fit into my pre-pharmacy curriculum. We need better math teachers. How we get there, I can only offer a single, market-based solution (which is anathema to teachers' unions) and that is to pay great math teachers two to three times the average teaching wage. Maybe four times. Any other methods that could work to attract/keep good to great math teachers?? Reply @gavindyer2428 2 months ago The real key to understanding Calculus is "How do you produce the formula that represents the wavy curve??? otherwise if it's supplied then it's just another formula like πr2. Reply @Santeeyyy 8 months ago Do you have any videos relating calc three? like finding gradients of a plane or Divergence of a field? Reply @volume10industries...24_7 7 months ago Thank you. I have severe attention issues, and this was very easy to understand. I have ' problems ' with math ;) if i can take my time i can get it but i missed a lot of school when i was young so a lot of it is like learning a second language. But i am very good at codes and cryptograms, puzzles etc. i want to check out your courses, on your website. I followed the link. Reply @yafuker6046 1 month ago I thought calculus formed on the teeth from not brushing. Boy, do I feel dumb! Thanks You Tube! Reply @Quantumzeroq 3 months ago Thank you. Reply @jarikinnunen1718 2 months ago That curve rectangles form straight line when placed different orders to each others? Reply @xyxyx5 6 months ago How about adding an audio narrative? Reply @l.e.brentwood3137 7 months ago Half way through I was thinking why not add up the triangles as well? Wouldn't that be precise? Reply @serenitynow66 7 months ago Good man exceptional! Reply @thomasshi9842 7 months ago f(x) is the derivative of a function. The slope of the original function curve at each point. Reply @tonynelson8917 6 months ago Appears teacher also doesn't understand calculas. The Integral of f(x)dx from 0-10 means sum all the little dx's (the vertical lines are delta x i.e. dx meaning infinitely small values on the x-axis). Hope teacher graps this. Reply @pickleballer1729 8 months ago (edited) Hmm. I took calculus in College, a year after taking "Algebra 2 and functions" (pre-calc). Both of my teachers were terrible, and I, a guy who taught himself Trig. Logs and Some number theory, never even remotely understood what the hell calc was supposed to do, and dropped out after a couple of weeks. I developed what I think is an easier way to do most problems o this type. I simply employ the formula (I don't know if this is math standard or not, but I invented it for myself) Area= length times Average height. I then used essentially the same technique as here to calculate that Avg H (except instead of many rectangles, I used many line segments and averaged them together.) Works well for me. So, even without calculus, I can do just as good (often better) area calculations under a curve. Reply @rickdiego5 11 days ago I appreciate you making the video and therefore I gave it a like, but your title says calculus made easy and I have no idea how to solve the problem Of area or varying speed. I assume in the speed example that there would be velocity and air resistance values that would need to be entered into the equation. It would have been nice to have some real life examples Solved with calculus. Reply @DM-fz3ly 7 months ago Is there a follow up video to actually do a calculation and how a function is fit into the process? Reply @SpencerIyalla 8 months ago Calculus is an interesting aspect of mathematics. Reply @Peter-n2g7m 8 months ago But what the fx is f(x)? 1 Reply @JoeFlorian-e8d 8 months ago What a work out Reply @Pareshbpatel 10 days ago The idea behing Calculus, so beautifully explained. Thank you very much. {2025-12-08} Reply @myrio1 3 months ago in this scenerio of a car the acceleromter is not discussed. For the videos sake, is the time it take the engine to bring the car to speed understood to be a constant? Reply @williambrewer 7 months ago Good explanation! Reply @VicheaKeng 3 months ago THE FUNCTION OF TIMELESS Reply @mrwensveen 7 months ago I think I can learn just about anything in MINUTES! Just a very high amount of minutes. Reply @KevinRussell-c4w 2 weeks ago Also, what is "a mile"? Reply @davidseamal 7 months ago That's a really great explanation ! With a Mr Garrison vibe to it, mmm'k 😀 Reply @alking6633 8 months ago I wish this guy was my Teacher ❤ Reply @GSMusician 13 days ago Great, but why would I need to find the area under the squiggle? What's a real world example? Derivatives seem a little more useful than integrals. Reply @jb0579 3 months ago Can I just ask? Is it possible to make a negative copy of that shape, flip it upsid down, adding it to the top of the existing one thereby creating a box or rectangle, and then measuring with time.height? The result need only be halved to see a prefect area. Reply @seadee23 2 weeks ago The lesson learned is you repeat to draw out the video. 1 Reply @JL-lh8kl 8 months ago Here's the thing, it's really interesting, however, the only time I've ever needed to use these techniques was during exammes ??? I'm a 58 year old engineer. Reply @matthewshaw3641 7 months ago Seems like it would be easier to just draw a uniform line where area is already have solved and all you would need to do is determine lenghth of the line equals = the mass. I dunno i never was good at math. Reply @abdelazizelidrissi4241 3 months ago Jevous serait reconnaissant si vous faites un video sur l'interpolation lineaire et bilineaire en calcul simplifie Merci bcp Reply @keithkethoticus8838 3 months ago I realize this was conceptual, but I would like to have seen HOW the calcs are made. Reply @drsuratsingh2348 7 months ago Simply great. Reply @StarGateSG7 6 months ago This is ALSO an example of Discretization aka Digitization aka the basis for FFT Fast Fourier Transforms! which means we can convert any natural phenomenon such as sound waves or light or shapes and real-world items into DISCRETE SAMPLES aka digitization which lets you represent and manipulate those now-converted-into-numeric-value items into any version you want such as for use in special effects, sound or image enhancement, or all sorts of things needed for say building houses, bridges, buildings, ships, planes and more! If you can convert a 2D shape or a 3D shape into a bunch of FUNCTIONS and numeric values that represent that natural real-world shape or item, it means it can be manipulated inside of a computer so we humans can better understand it and find any issues BEFORE making or building new versions! V Reply @hissinghed 8 months ago Rate of acceleration. I am quite possibly the dumbest human being you could ever meet, but I totally got this! Breaking it up into incremental sequence. Thank you sir! You just elevated a complete dumbshit into somebody who learned a cool thing! Reply @wlh227 10 days ago But you did not show how to solve the problem to find the area of the irregular shape? Reply @asitis56 7 months ago I learned math I learnt maths😊 1 Reply @istvantoth4531 6 months ago Great!😊 Reply @joeuwest489 7 months ago You the man , great lecture Reply @EmmanuelMacaulay-l3k 8 months ago Want to understand calculus, thanks Reply @Woowoobang 9 months ago (edited) I would take the first shape....the "squiggly line at the top" I would make it into a rectangle by adding the lengths of the opposing sides to each other and then just divide my answer by two.....🤔....rt? 😅 That gives me the area.....so as long as i know my two "y" numbers and my x then I'm good to go.... I like simplifying things.....😅 1 Reply @sereneresilience 8 months ago $1.99 Thanks! Reply @friendsforum7795 8 months ago Good job! Derivative is measured of change while integration is exactly opposite of it! I knew this because I was professor at university where use a whole of these operations in undergrading various concepts of economic variables Reply 1 reply @mikhailbranski 1 month ago I was a teaching for some 30 years and I am always embarrassed by teachers tho do not realize that there are better ways to engage your students to help them learn. This teacher means we'll but most students I believe wold have trouble listening to him...first off his voice..no projection but he also comes across as boing....he would lose most students if a minute; I recall a math teacher I had in high schools who was smart but being smart is not the same as being able to know how to teach...and my teacher had trouble and confused most of the class,....he meant well, he no doubt knew his math but he part of conveying it tot he students was challenging for him,...start with an example that grabs the students attention,..make it real, not an abstraction....which is fine for bright attentive math minded kids but almost no one else.... 1 Reply @1crazypj 6 months ago Your example around 8 minutes I remember from history lesson around 1971~72. It's how mediaeval strip farming plots were measures for tax purposes for hundreds of years If maths teacher back then had been able to relate the x/y stuff to something I did understand I may not have been so totally lost? You car or baseball examples don't sound so difficult to me, gravity being (approx) 32ft or 9 meters/sec/sec and constant acceleration 10 sec to 80mph =8mph/sec so basic maths? (unless I'm missing something important?) I haven't needed calculus (invented by Isaac Newton) in last 50+ years but do need to revisit some geometry to set some angles for machining. Sine rules I kinda remember, measuring offset to one ten-thousandth of inch is easy but I've forgotten what SOH, CAH, TOA actually means? (even after sketching triangles and labelling them Reply @AronAroniteOnlineTV 4 months ago I know only Prof Calculus in Tintin comics😅 Reply @johnny_rain3226 5 months ago Ok... That's real teaching. Reply @javagirl 9 months ago For me, it would be better to point out that the wider the rectangles, the greater the area outside the rectangles and below the squiggly line that isn’t accounted for. The narrower the rectangles, the closer you come to the true area. Isn’t that what you are saying? Plus, show the calculation please. Thx Reply @Mainbusfail 8 months ago I cannot believe I am learning Calculus. Acually learning it. Phhowwe - Mind Blown Reply @powercoolmarine6322 2 months ago Hi I'm interested in your tuition... What do i do? Do you teach private lessons? Reply @harrylister804 7 months ago Nice! Reply @djrychlak4443 8 months ago Hi John! I"m Dick Mahoney. And I like math! Reply @medrouabhi5699 1 month ago what if fourier serie is used as discreat curve of area complex Reply @frederickwilhelm4143 9 months ago It’s simply the sum of y times x of little vertical❤ rectangles. Reply @CodedDC2108 6 months ago Thanks Reply @jonkleven7679 2 weeks ago The only thing I enjoyed in high school Reply @rickmassar1151 3 months ago Calculus Made EASY! Finally Understand It in Minutes! This course gives a general understanding what I expected was some actual integration of the functions of the lines. Reply @basschot3302 6 months ago Great! Reply @thenovicewhispers 7 months ago I understand it now. Reply @RobertCleggRC 1 month ago What program or AI would you recommend we use to follow along to do the math. Reply @Batayons-corner 2 months ago thank you Reply @hedwegg 7 months ago 👍 1 Reply @HepCatJack 8 months ago At 3:21 that looks like a sinewave until the 5. Reply @larryholland7192 8 months ago Great video Reply @GuillermoGuzman-nm8nb 8 months ago I'm 67. Thinking of studying again Reply @SM-ev3pv 8 months ago The genius is back! Reply @JerseyLynne 7 months ago My mind shuts down when i hear the word calculus. I have an old bachelor of Science degree and I want to see if you're right. Can you explain it to me in this video? 1 Reply 1 reply @darrelfischer465 7 months ago I never took calculus. I have been using integrals and derivatives for many years and never knew it was calculus. 🤯I used these to control machines that had variable rates. If the load increased by a marginal amount I would induce the rate of response slowly and visa versa. I didn't want to overshoot or undershoot the response so I would set the variables to prevent oscillation. Reply @ElaineWalker 7 months ago These three x-convicts were once hired to put rocks in my brother's yard. It was a company that was giving them a chance. They were all like, "Oh yeah, we commonly have to use calculus to figure out the area. Landscapers always need calculus." Then one guy did calculus in his head real fast to estimate it. 😅 Reply @brendankelly1802 2 weeks ago Well actually the car problem was really simple and didnt need calculus actually. It started at 0 mph and after 10 seconds was going 80 mph so it was clearly accelerating at 8mph per second. After 1 second it was going 8 mph, after 2 seconds it was going 16mph and after 3 seconds it was going 24 mph. The actual question should have been how far has the car travelled after 3 seconds. That needs calculus to work out. I think thats what he meant as he later said if it was going at a constant speed the distance travelled would be easy to work out. Reply @FreshTexanEd 5 months ago I never got past geometry and maybe I’m stupid, but why not just use the y axis and go across to the point at xy and get a square, then divide in half? So one side squared divided in half. Since Mr squiggle would be mirrored on the top half of our new square wouldn’t that work? Much quicker than a million little rectangles. Why am I wrong? Reply @wandellpassah8086 2 months ago Thank you for the explanation So good especially in the world of only Memorisation Good for Meritorious Poors Reply @Locke99GS 8 months ago A million videos on the Internet of what calculus does and what you can use it for, but afaik none that show how to actually perform the calculations. Reply @flashflashbang2102 1 month ago Some of us are doomed never to understand numbers beyond simple adding, subtracting, multiplication and division. Without calculators we are nobodies at sums. Reply @bosselostal4252 7 months ago Already subscribed 😊 Reply @mikeross1880 8 months ago I guess that was a tease,good job it caught my interest, but the area problem was not precisely solved. There are still the little areas above the rectangles... those would need to be figured out & included as well to get the exact size of the area. TY I understand more than I did before I watched it. I have other fish to fry, but I will put math on my list as well. Since I am going to solve gravity and learn to manipulate it. Just to help the world out. I will be in touch. 😁 Reply @kenmiller1341 6 months ago What if a problem cannot be represented with a function? Reply @kapalik68 1 month ago Low volume is really painful on desktop. I increase my volume to FULL. still its low. And other sites work good. 'Please check. Reply @christianwinther7812 8 months ago Brilliant! Reply @andyhurd5796 9 days ago OK, so I was probably expecting too much and some of this I knew already but I'm no wiser than at the start as to how integration helps find the area under a curve. After all, if you take an infinite number of slices of area under a curve as you suggest, you end up with... infinity! Yep, infinite area! Clearly a nonsense. Then in the second part, exactly how does differentiation help establish velocity at any given point in time, in a way that the simple mechanics formula "v = u + at" does not? From your example, drop a ball from a building: 105 mph[v] = 0 mph [u] + a*2 secs[t] --> a = 75 mph/s therefore at .78 secs the ball is travelling at 58.5 mph. So no epiphanies here for me. Reply @fixitman5453 4 months ago great explanation, but... when in real life would I need the area of the squiggle? or the area of a certain f(x)? I use derivatives all the time in physics projects, but I don't think i have ever needed to use an integral. or maybe i did and just didn't know it. example please Reply @itzik481 3 weeks ago I’m sorry to say that I just don’t understand yet how you calculate the area or the velocity at each point. I understand that you say that calculus resolve the problem but from what you explained till now I don’t understand how calculus resolve the problem. Reply @wallacewallets7557 3 weeks ago calculus made easy🤔@12:08 its something that you cant handle hahahaah Reply @igorchudnovsky499 9 months ago Thank you Reply @kiwicory100 7 months ago Calculus sunk my university degree. I was an Econ major was supposed to graduate in 1985 and could never get past calculus. As a result I was never granted my degree. 😢😢😢 Reply @abdelazizelidrissi4241 3 months ago Merci bcp Je vous serai tres reconnaissant si vous ferez une videos sur l'interpolation lineaire et bilateral pour simplifier les calculs Si serait le cas aimable a vous de me transmettre le lien J'y tiens enormement car cela me prend un temps fou Merci Reply @Debbiecybergal 8 months ago Math is easy when explained properly! It's like a language. Reply @megg7558 7 months ago (edited) This is the long way showing it. Must be an easier way than this. If there's an odd shape you break it into units calculate each area and the ad it.😅 Reply @davidbain8921 7 months ago A really good explanation of the purposes of calc...though it is jarring to hear a professor say "ex cetera". Reply @Houdini_Bob 6 days ago I enjoyed basic explanation of calculus and what calculus can do however, my OCD was awaiting the answer for the first example and you just left it. This is like saying "this is how you make the perfect German Chocolate cake": you give the list of all the ingredients but that is it, nothing about how to make it . Reply @ИзвестныйАпрасад 7 months ago Thank you Reply @GoffeTorg 6 months ago Solving the two examples would have been helpful Reply @hanzo5511 2 months ago Subscribed, a civil engineer Reply @rrssmooth6643 7 months ago Actually I think I know a lot more about calculus than I thought. Reply @eyeknowlittle 7 months ago Would copying the image and pasting the inverted copy above to create a rectangle and divide the total area by 2 solve the problem? Reply @seanthewanderer1307 3 months ago Can't the car acceleration problem be answered by simple math, such as 80 is to 10 as 'x' is to 3, which when solved, x would give you 24 mph in 3 seconds? Reply @ramamanibalaji6343 5 months ago You make Math (which looks "dry") a wonderful tasty "lively" recipe! W😀w! Reply @greatvideosenrichyourknowl164 1 month ago I am a successful businessman, I am a translator, I am a successful Author writing articles, but I am the only person in the world who can not understand or learn Algebra. You have to be a genius to unlock my brain and get Algebra in😅 Reply @PedroOliveira-lz3mk 7 months ago For what I know of maths all those calculus, at least with integrals should return infinities... Otherwise just approximate results. Reply @garyjarvis2730 7 months ago Is the calculation of area under a curve exact or a close approximation. The sum of rectangles under a curve will not produce an exact area summation. So what part of the explanation is being left out? Reply @do_situ 2 months ago my math Prof at uni of tech said if you had high scores in school you would probably fail because all you have been taght is wrong and he was right. math and phisics on uni level is diferent beast because how dumbdown it os in pre uni Reply @achikavengergarohills3048 3 months ago Subscribed Reply @87thtrippp37 2 months ago (edited) What you failed to mention is that your 'squiggly' has to be a precisely defined function, and not just some randomly drawn curve. I see you have labeled your squiggly as 'f(x)'. So in fact your squiggly is not just some random, worn shaped curve, but a mathematically given function. Reply @THEfamouspolka 1 month ago First 90s. " you don't need to know any algebra or geometry!" IMMEDIATELY : " How do you find the area of the following shapes?" You use these formulas OF COURSE!! Other than that, great VJO! Reply @sureshbabu-xp4xb 7 months ago One doubt, can any irregular shape be described as a function so as to facilitate use of calculus. How to describe a irregular shape as a function? Reply @oviedoc5454 6 days ago 70! Wow!!! Keeping your brain healthy & your mind sharp is a sure way to longevity. You'll see 100, at which time you' probably be wrapping up your studies of nuclear physics? Reply @MaxTricks739 1 month ago Remember, math is the only subject in school that counts. Reply @webmastercaribou7570 3 months ago I have always hated math, still do. To solve that problem why not just make the total area a square or rectangle. Lxw gives you total area. In the real world I would fill the entire square with water to see what the total volume was say to one mm. Then simply use the Sam amount of water to fill one side. Then you could get a ratio of one side to the other. Is there a simple way to do that mathematically? Fifty years since any classroom math. Reply @jupiterlove76 6 months ago how do we know how many lines to put ? Reply @jaysmith6200 8 months ago using rectangles is an approximation, not an estimate Reply @douglaswilkinson5700 8 months ago Non-mathematics majors think calculus is a challenge. Just try differential geometry and tensor calculus. Reply @robertsakall1777 7 months ago What if it was log3 increase and not a straight slope? Reply @davidsylvester2543 3 months ago I thought I knew a little bit about calculus a long time ago so this would have been a good review. But I have to tell you that I don't understand a lot of your language usages. For example, a term that sounds to me like you're saying "karnda" and lots of "you like"s and "I like"'s, and possibly more. So I don't know whether those are common expressions of calculus that didn't get defined or if they are just your personal idiosyncracies that I'm not familiar with. Reply @Ajantha-l3k 7 months ago (edited) This is how every teacher should enter to this lesson, but they don't. 👍youtube was not there when we were studding. Reply @kittyhooch1 7 months ago I wanted to learn calculus, but moving from Alaska to a small town in Washington was totally dark ages. The dropped object is 32 ft / second ² though. I'm studying AI now so I need Calculus. Reply 1 reply @JustJeff369-d2l 3 weeks ago Reminds me of how nothing is precise 😂 Reply @jamesbanda7069 8 months ago Thanks Reply @klauskarpfen9039 7 months ago Does "dx" mean the dollar on the DXY? Citroën used to make a model Citroën DX long time ago. Is this math a Citroën product? If yes, does it consume liters instead gallons of gasoline? Regular or super? Reply @AussieFroggy71 3 months ago I'm still none the wiser how exactly you solved the "Squiggle" Reply @michaelbrooks9647 8 months ago Where were you 50 years ago when I had to take that class. You would have explained it much better. Reply @Cheyenne-u7u 7 months ago Doing an integral, do you do it to the inflection point on the graph and then the other side? Reply @maxodye 6 months ago So solve the problems!!! I get the idea, so..."Show your work!" Reply @JaminiPadhi 8 months ago Excellent explanation! But I thought you would solve the equation 0 to 10 ∫ f(x) dx 😊 Reply @hiyergilbran 7 months ago (edited) 7:21 Ok, I know zero about calculus. And I haven’t watched the whole video yet. I will. But I’m looking at this thinking why don’t you just make one big rectangle. Length is X, Y is the highest the squiggly gets on the Y axis. Find the area of that. Divide by 2. Doesn’t really matter what the squiggly is doing. Reply @annies9689 9 months ago (edited) Although I don’t always understand them, when life gets tough just as it is now, I lose myself in these videos. They take so much concentration on my part that it blocks everything else out. Unfortunately I have always been a nerd just not a very good one. I’m 68. Reply 1 reply @toddmaggio2032 8 months ago Your title implies the video teaches calculus. But it is just a ad for your classes. Reply @MorrisonManor 5 months ago I never took calculus and learned nothing from this video except a few terms being defined. Reply @terrytorres5026 9 months ago You gave an great overview but never solved the problem. Reply @Mike-oe6fl 4 days ago Better Subject Heading: "Examples of Where Calculus would be applied" - it was hardly explaining how to understand it Reply @numbernine888 7 months ago okay. but why and what for should one find the area under the curve? Reply @AlfredWegner1 1 day ago You said it is an "accelerating car" twice ...., highway, turnpike, irrelevant information. Car is moving it is clear. Very frustrating. Reply @geoffcoll 8 months ago On the first part, at the top of each narrow cylinder, there must be a small triangle beneath the curve, but not that it makes a great deal of change to your explanation. On the second part, I don't think you explained what you were doing very well as you didn't provide examples of the calculation of dy/dx relevant to the acceleration. Reply @brucefree8 2 months ago You didn't actually explain how the integral works, only what we want to know and the basic concept of adding very small rectangles. Reply @Ron-n4j1l 9 months ago Yeah. Okay, tell me about Fourier Series. Reply @marianagyorgyfalvi3659 8 months ago I suspect that the losses along the route are also calculated, the lines that steal material!😂 Reply @danbennett1643 4 months ago Calculus was always pretty straightforward for me, algebra and all the rules is what gets me the wrong answer. Reply @thomaswebster444 6 months ago I took Calculus along with Russian as a freshman in college in 1968 while taking required required other courses. Since then I refer to Calculus for its dynamic and transcendental nature. It has become for me a powerful tool for meditation as I contemplate the beauties of nature and the universe! 1 Reply @RhondaWilliams-b3l 3 weeks ago 2nd video, still didn't find out what the "dx" is Reply @ePCAYT 7 months ago Perhaps it was a terrible teacher or too much partying, but I think I understood more here in <10 mins than a year of Univ calculus... Reply @diegonavarro708 1 month ago Thank for your effort to explain calculus. I believe you failed to show the final calculations for both, integral and differential calculus, because you spent too much time repeating things and/or giving unnecessary explanations. Reply @VicheaKeng 11 days ago 0:06 Reply @numbr6 7 months ago I have a milligram scale. I know the weight of a 8"x11" sheet of paper. I draw your "arbitrary shape" on the paper, cut it out and then weight that shape. With simple ratios I can easily determine the total area of the shape in question. That works for arbitrary shapes, even ones with a "hole" in it, which can't easily be integrated. If you presented me a 3rd degree, or greater, polynomial that describes your "squiggle" I can just integrate that function from 1-10 no problem. Yes, your description of "chopping up" the area under the curve with "infinitely thin" rectangles is the key concept of integration. How do I apply that to "household problems" that don't have a 2x^3-3x^2+x-1 formula isn't too useful. It is all great when working in the sciences. To the every day person, not too useful. Reply @margaretspringer762 2 months ago So, what do you mean by ‘function’? Reply @afsIII1966 8 months ago For the dummy who got a D- at Villanova U only because the prof was nice, I have to say you lost me at the 9:20 mark. I completely understand the rectangles and needing them to be infinitely small. But when are you accounting for the infinitely small ‘sort of’ triangles needed to make them? Is the concept that at the conceptual level of infinity, the need to account for them goes away? 1 Reply @PARASGARG11 3 months ago Algebra will solve the speed problem at a certain time of accelerating car or a falling baseball. Calculus is needed to solve the speed at a certain location. Please comment if I am wrong. 1 Reply 1 reply @ohary1 7 months ago I'm not exactly sure of your explanation. I could use rectangles in a program like autocad and come up with an approximate area, but I don't believe that's how determining the area of a function works. If you want to determine the area, using calculus, you would have to start the function at the beginning of the limit and at the end of it, and between the two limits would give you the area, but wouldn't they be vertical rectangles starting from left to right going along the function? In other words, the function is graphed from a lower limit to a higher one, and in this case from let's say 0-10 as you have it shown, but I don't believe determining the area would have horizontal rectangles. I don't believe that's how this function works. Maybe if you could clear up my confusion, I could understand it better. It might also be more understandable if you graphed the actual function exactly, and not a squigly. Reply @dpurpler 7 months ago Too slow, IMO. Perhaps faster pace would be better. The triangle part was easy to understand with the first example. Thank you. Reply @stevep1413 3 months ago (edited) Instead of making it even more mysterious by leaving out crucial information follow JimBrooks' explanation. Keeping with the idea of the rectangle, you could say that the "f(x)" part of the integrand is the height of the rectangle and the "dx" part of the integrand is the width of the rectangle (dx being infinitely small!). It is easy without knowing the real f(x) formula, to understand that the value of f(x) at a given x is the point (height of the rectangle) on the curve. No mystery! As JImBrooks also stated...dx is infinitely small..the missing piece is that dx is the change in x which we are trying to make as small as possible to leave no space (conceptually) between the values on the curve. If the change is large (wide width rectangles) then the area is not as precise. The smaller the width of the rectangle, the more precise the area. Hence, why dx (width of rectangle) is infinitely small (as close to zero as possible). The curve goes from 0 to 10. What kind of spacing or change in x? It could be 0,1,2 ,3....or 0.1, 0.2, 0.3....or 0.01, 0.02, 0.03.., 0.003, 0.0003...the smaller the change (width of rectangle as close to 0 as possible) in x the more f(x) values you get to calculate the area. Reply @muriuwangai3617 9 months ago Calculas gives me some headache here in Kenya. Reply @bharamurayar3025 7 months ago Though I loved every branch of mathematics, I used very less of it in my engineering career. Reply @charlieboye2009 8 months ago Wouldn't you use the Newtonian equations of motion for constant rates of acceleration instead? Reply @johnnguiyen 3 months ago I am very wary of subscribe buttons and the costs that are charged to your account which some sites charges. Should we be using another " term " as subscribe indicates a payment of some form. Please can you educate me on what it means if you hit the subscribe button and what it truly means?? . This is an honest question that I am truly confused about. Reply @Molegalunchained 3 months ago What grade is this Vidio pitched at? Can someone please assist. I was and still dead scree of maths😮 Reply @demurat 8 months ago Why there is not at least one example with real numbers? Reply @tekipeps 8 months ago You call the shape "My piece of land" Reply @johnsavage6628 8 months ago Phooey. How am I going to use this everyday? Math has been high jacked, and is no longer a practical tool one can in one's head. Reply @YouTuber-ep5xx 2 days ago Nice. But I still do not understand - at all - what a derivative is. What is its essence? Reply @VicheaKeng 3 months ago 15:35 Reply @sunchoi9250 7 months ago Nice Reply @alexctao 7 months ago awesome Reply @VicheaKeng 3 months ago 14:22 Reply @petrus4 7 months ago This video definitely needed hexagons. Reply @jsverner 7 months ago Forgive my ADD, but now I am singing Tiny Rectangles to the tune of Tiny Bubbles... Tahnks! (is that dyslexia or dysgraphia - I can't remember?) Reply @bdlestacio 8 months ago I used autocad i traced all the line and that's it i got the area. Reply @goodkawz 3 months ago 2:15 Reply @qaseem65 7 months ago GREAT Reply @TCSC47 2 months ago 5 mins in and you have made the same mistake that my maths teachers did. Why should I want to find the area under a squiggly line? Not just that but you said I didn't need to know algebra, -- and then you use algebra to show the area of several shapes --- WHAT? You are not alone though --- maths teachers have done so much damage to maths learning! 1 Reply @markzambelli 7 months ago Ok, assume I'm an idiot ('cos I am for having shyed away from this for decades and am missing sooooo much, but understanding why (the application of all this) has been like herding cats while nailing jelly/jello to the wall) but why would we want to know the area under a curve? Any examples might be instructive. I understand wanting to know the car's distance with constant acceleration at any time would be helpful and differentiation can find this, but when the acceleration is changing to give this video's 'squiggly' line, then my brain starts to overheat (I know what the 'slope' means at any time but how is that useful? or even used in practice?) These are my struggles, sorry to put them out there. Reply @LoveUSA747 3 months ago Your title is alie! Reply @THEMOSTGODLESS8713GGR 7 months ago (edited) Many types of calculus.... but I agree, the BASICS of it are easy, even the concept is easy to explain... a book like Berlisnki's A Tour OF The Calculus does a great job of it... but as you advance in calculous immediately you see a divergence DIFFERENTIAL calculus and INTEGRAL calculus... and I do not agree with you that at that point is "easy" many leave at that point, and actual uses for it are seldom even understood by teachers themselves, we don't KNOW that at the time, but as we grow up and start to notice good teachers from mediocre teachers it is obvious the teaches themselves do not understand that level of calculus, never give good and CONSTANT examples of use in daily life, or WHERE all that learning of higher or medium calculus will be useful, IF they did that some people would stick with it, many do not as you can clearly see computers are much better at it than humans... like all fast basic arithmetic operations are now done with calculators rather than pen and paper... etc etc... so far I haven't heard a GOOD enough reason why they want everyone to take calculus other than to DEMONSTRATE you can think abstractly. But you show that CAPACITY or ABILITY once you learn algebra I think... so?? Reply @LTV_inc 7 months ago Yes but the iterations between different units of measure in the real world leads to incremental errors. Reply @over-there 1 month ago (edited) Its only a basic part, like what is 2 + 2, also need trig, algebra, geometry, called precalculus, which this is the beginning of this, this is precalc, add several years of physics and several years of calculus, then tell me its easy, with one minor problem being ten pages long Reply @DonAdams-xm4me 1 month ago (edited) You did not show any answers, the first one would just be an estimate. The first one, how did you know the dimension from the x axis to the curve? The area in the rectangles makes it an estimate only. Reply @coburnlowman 1 month ago Is it 24 mph at 3 seconds??? Reply @hymlog 8 months ago ....GOT IT!! Wow...! that was Super Easy!! Reply @tangomike777 2 months ago I'm 55 years old. Why am I watching this?!!! That's 20 precious minutes, gone....and still couldn't solve that falling baseball problem. Reply @horacelastname1426 2 months ago (edited) Question: "How does a car work?" Answer: "You can use a car to get from one place to another." 2 Reply 2 replies @roseyk7677 2 months ago What's the answer? Reply @patrickdrury1480 9 months ago Are you saying heith? 1 Reply @henrysailor2590 4 months ago jestes krolem matematyki, a matematyka to krolowa, dziekuje, Reply @GusB-c1w 5 months ago A fundamental question would be, why do we care what the "area of squiggly is"? Reply @bilgepumpers 1 month ago Two concepts buried in a mass of repetition and verbiage. A little pre lesson planning would help a lot as would a lot of post production editing. Reply @spasskyfan5389 7 months ago But the car could accelerate at a non-uniform rate, unlike gravity, right? Reply @HoneyBadger5540 9 months ago In other words, he "presumes" that "people" will "select" the wrong equation for this calculation.... that people will "select" a "velocity" equation instead of an "acceleration" equation. That's what's happening at 15 minutes. While I appreciate the effort for education, this presentation at this point is presupposing a lack of intelligence of the audience. While ALL may not know EVERYTHING, it's wrong to ASSUME that ALL know nothing. That's what's presented here at this point in the presentation. 1 Reply @aday1637 1 month ago So calculus is an estimate. I can do that with my eye and my brain. I don't need mathmatics for a guess. Reply @TheHypnotstCollector 8 months ago I'm guessing calculus is some kind of a time thing . I say that because this 10 minute lesson is 20 minutes long. There's 60 minutes in a degree so 1/6-1/3 degree is part of the lesson. And we know the earth is moving at 900mph or roughly 1/4 mile per second. I'm not familiar with calculus so you'll have to give me some latitude here, while I calculate the answer. 1 Reply 1 reply @MeaHeaR 2 months ago What State is his accent from Reply @rrb79 7 months ago Who cares about the area under the squiggly? That’s what the big disconnect next is for me. Why does it matter? What is the application? Why should I care? You know, when you don’t care, you don’t learn with interest. Reply @spotsterjon74cu 8 months ago Being that I am mathematical moron, something I have often wondered is… If a 16” wheel travelling at 30mph, relative to the ground, the bottom of the tyre is travelling at 0mph, relative to the ground, how fast is the top of the wheel/ tyre moving? 1 Reply 11 replies @IRDazza 7 months ago Would have been better if you actually showed an example. "Just add up all the rectangles?!" Infinite number and dimensions? Reply @lukeluke5856 10 days ago why do i like this? hahah Reply @tanmoymukherjee9714 8 months ago ty. can you ever precisely know the area of a circle if you have to multiply by pi? isnt pi an irrational number and goes on forever? but you can clearly see the area of a circle. Reply 1 reply @terminallygray 7 months ago (edited) I took calculus classes in college and didn't understand it. I watched this video and I still don't understand it. I find this explanation to be very oversimplified. I already knew that calculus was used to find out the answers to those type of situations. He just didn't explain the difference between derivatives and integrals. And how to determine when to use which one to use to find out the answer. Or was this just an ad for those math classes ??? Reply @tetedur377 7 months ago (edited) One reason I can't do math is because I can't see numbers in my head. I.E. I don't visualize them. I have to see them outside of me, on a board, the computer, paper, and so on. That's just one reason. But what I do see is this: Extend the Y-axis upward. Draw a horizontal parallel line over to the vertical line from the X-axis at 10. Figure out the area of that square, and divide it in half. There's the area of your squiggly. Roughly. PS: the answer is 50. My eyechrometer says the intersection of the horizontal line with the y-axis is 10. 10x10 is 100. 100/2 = 50. You're welcome. Reply @andrewrameshwar6845 8 months ago Great video. But I have to be that guy…. Are you using paint on Windows 95? Reply @Nimsrodel 6 months ago (edited) Ok so this video doesn't really explain enough to give an inkling how calculus works, it just explains what problems calculus can solve. I want to know WHY it works. When I took calculus I just went through the motions to plug numbers into formulas I memorized. I didn't intuitively understand WHY the formulas work. The parts this video showed I already understand. Reply @neonZohar 7 months ago Professor, great beggining, but you lost me when exampling the car speeding up. You could have used different example for derivatives. Change and result is 1st derivative! Change of Change is its 2nd derivative. You could use how fast it would take to bake a pancake at very low temp and how the cooking time changes with increased temp. Boom! You over done the pan cake and it's burnt now! Reply @anonimx3512 1 month ago ❤ Reply @billmorgan2883 7 months ago 11:20 in the video, your quote "that's calculus", that is not true. It is integral calculus (dealing with the accumulation of quantities and areas under curves). That's like a physics teacher saying gravity is physics. Are you sure you are a "math teacher"? Reply @mr.mxyzptlks8391 9 months ago Nice vid, but as usual I’ll try and troll a little bit… this is obviously late high school analysis explaining the Riemann integral. All cool. But, to prep for university, (pure mathematics, physics, economics, etc) I recommend to please also touch on other integrals, such as, Stieltjes, Lebesque, etc. Not in depth, obviously not feasible in high school, but to show that there is so much more to be explored once one is on this journey 🤩 Reply 1 reply @adbogo 7 months ago The accelerating car is a bad example. Because of gear changes the acceleration is not linear like i.e. an object falling in vacuum. Reply @marcocarrasco7840 2 weeks ago Now I have a little knowledge of calculus , next I will try to have a little knowledge of Picasso's art work. Reply 1 reply @Kemal0271 1 month ago 👍 Reply @PattipegSHarjo 3 months ago How about if you start with examples of when calculus is used--if I shoot an arrow into the sky, where will it land? or something like that. What are the practical applications. For instance, who cares about the area of a rectangle, unless you're trying to figure out how much new carpeting will cost. Why can't mathematicians ever start with practical applications, and then show how to get there. Otherwise I really don't care about formulas, etc. Reply @katsura44 6 months ago You've explained WHAT it does, but it's impossible to understand it unless/until you show us HOW. Why don't you show us how it can be used to calculate the area of the squiggly, and work out the speed of the baseball? Reply @Joseph-o5x8h 4 months ago You should say that we can not know the EXACT AREA of a Circle because WE can't KNOW THE EXACT VALUE OF π.... Reply @edoedo8686 8 months ago Super. And I am almost 70... Reply @AadilAamir-pw6vl 2 months ago if the acceleration is linear, you can simply guess it, at 3 sec it would be 24 mph Reply @fixintoboltfreely7360 3 months ago Rectangles, rectangles, rectangles…..deceased equines sufficiently flogged. Reply @bluenoteone 2 months ago Have you ever seen the proof for the square root of 2? Reply @martinzitter4551 1 month ago How would I find the volume of a banana? Reply @evaristocisneros7682 8 months ago I meant linear algebra Reply @Freedomistman 7 months ago Oh, oH, OH, I know this one,,,,,,,,ahh, AHHH, ahhhh,,,,, ASK OPEN-AI !!! 1 Reply @ikarljoseph 7 months ago I NEVER subscribe so path thyself on the back +😅. Reply @philippecolin151 7 months ago (edited) Great video, loads of talking, still waiting on how to calculate this area Reply @MuhammadShoaibMalick 8 months ago Concept mak .thing more clear and easy to attempt question Reply @TaghiIzadpanah 1 month ago (edited) Dear sir! If as well as showing the formula and squiggling on the 'board', you just solved the equation as an example, not only would it become clearer, but also you would have been displaying your honest intentions to teach.😢 Reply @davidtaylor8822 4 months ago I was expecting clarity of thought and concise description. Nope. Reply @thomasthomas7585 1 month ago As very poor in maths still not show how calculat ? Pls .how? Reply @Debbiecybergal 8 months ago I learn by really wanting to know. So I read whether I understood or not. Just keep reading and your brain will click and start to understand. I love when that happens. getting over that brick wall. But it's a learning curve and you really need to want to learn. So computer workers should be paid More. They studied just like a doctor would. Minimum wage is insult ing Reply @fritsheimweg1009 8 months ago Is'nt this in any math-book that matters? Reply @yolomagikarp 8 months ago So wads the answer? Reply @franciscoluna2011 4 months ago TIENE UN NUEVO SUSCRIPTOR Y MANO ARRIBA Reply @frankcall8567 7 months ago High school dropout here, learning a knew language is cool AF. 1 Reply @RealBoomerWisdom 8 days ago I fell I fell asleep in the 7th minute Reply @VicheaKeng 3 months ago THE FUNCTION OF TIMELESS THE FUNCTION OF TIME Reply @TYRASSA 8 months ago Why would you want to find the area of a squiggly shape? I mean it's nice to know how to do it but how would it be used? 🤔 Reply 1 reply @arydant 2 months ago You sound like David Van Driessen (Beavis & Butthead teacher) Reply @GerardoLopez-xu9ft 7 months ago I drop out of school in the 10th grade and never regretted it ! Started learning to invest in stocks at 21 and after10 years had my first million! Reply @Shabgard-p7u 1 month ago 🎉 Reply @MrB.E.D 4 months ago Like it Reply @raginroadrunner 7 months ago I got nuthin out of this. Zero. I'm done. Reply @JoScribner-x1j 4 weeks ago To find the area of the squiggly shape, why did you start of with x and y coordinate suddenly? You did not do that with the circle, the rectangle and the triangle. No, seriously? It did not cross your mind at all, not to do that. Did it? Reply @JocelynSoriano-c3d 8 months ago You’re not explaining very well how did you get formula to find the area of that irregular shape you had to drawn. Reply @petermills9004 7 months ago You can like, kind of basically sort of - ugh!! Reply @ericrowen594 1 month ago Simply didn't quite get there, started well (ish) but laboured far too long on the simple explanation, then after that just didn't explain things at all, score out of ten? 3/10 SCHOOL REPORT COMMENT "Must try harder" 1 Reply @GosnelNicolas 9 months ago $1.99 Thanks! 2 Reply 1 reply @genediggs417 3 months ago (edited) You are going to be blown away when I tell you this about me: I have 75.5 years on this earth. In high school and college, I failed math, but for some reason, I have become obsessed with advanced mathematics, Astrophysics and Calculus. I am black👌🏿👍🏿👊🏿🙏🏿 Reply @johnmarchington3146 7 months ago My answer is 50 Reply @deniaxdeniax 8 months ago didn't catch what the d(x) was about .. the rest is clear. Reply @cemasti4524 1 month ago (edited) There is no learning of calculus quick in 20m or 120m Reply @carlsonloggie 8 months ago It takes 20 minutes for a 10 minute video. Reply @himalayanmotoracademy2909 7 months ago This video could be better n clearer, with a small effort. Reply @johnnyreggae969 8 months ago I still don’t understand calculus after watching your video Reply @robertloten8548 13 days ago But you did't get the area. Reply @rodneylabar4331 8 months ago 26.321 mph at 3seconds... how fast at 3seconds.. dont need calculus mm m. Am i right. Whats the answer?? Dont need formula dont understand busy worl😊 Reply @eyeknowlittle 7 months ago 80/10(5.12) = 40.96 Reply @dwaipayandattaroy9801 9 months ago 24 miles per hour in 3 secconds the car travelled HEE HEE 😂 💀✌ Reply 1 reply @DownhillAllTheWay 1 day ago You have taught us something about the concept of calculus, but to say "Finally Understand It in Minutes!" is stretching the point somewhat. In fact, you didn't get as far as solving even the simplest of calculations. Even just explaining the concept of how to find the area under a "squiggly", you never mentioned how to find the area of a rectangle under the squiggly, and to do that, we have to have the formula of the squiggly itself - the formula that tells, for each value of X (the distance along the X-axis), what the value of Y will be (the height of the squiggly line above the X-axis at that X-value. Once we know that, we can start to solve for area, but we have to know the basics of both differentiation and integration to do that. Reply @photografr7 3 months ago I found calculus to be easy. That’s why I took Calc 1, 2, 3, 4 and Advanced Calc with a grade of A in each. Reply 2 replies @LordOldemort 8 months ago I didn’t know Steve Buscemi taught math Reply 1 reply @andybroom5001 2 months ago Yeah, try doing loop integrals in multiple dimensions. No algebra? Calculus taught me I had to do algebra as an expert. This is not applied calculus. Reply @johnwilson3842 1 month ago Why? Reply @generoll59 7 months ago still don't know the answer to any of those problems. Reply @Ethan-l8q 6 months ago Think again! In this video Reply @macforme 8 months ago I don't mean to question your motives or curiosity.... but WHY the heck do you need to know the area on a chart that is... say ...tracking voters or prices.... what kind of chart would it be for to need to know the area of the squiggly 😳🤣 Reply @naradrisp2962 8 months ago Extrodinary 😮 Reply @wokabi 5 months ago Your captions are blocking the view Reply @thomasshi9842 7 months ago f(x) is the derivative of some function. Reply @clusterm2 8 months ago Describing the squiggle as a squiggle at the start is a little disingenuous. It's the area under a known function you're after. Reply @chrism8705 7 months ago 1.25 bored to death goodbye Reply @Devenshire11 8 months ago Wish you had actually calculated the area, but you avoided it Reply @MrMurfle 8 months ago Kinda misleading, seems to me. Obviously integral calculus is useless if you don't have a y=f(x) formula for your squiggly. So, it seems it works for only a very limited number of squigglies. Reply @robertkat 8 months ago Most people people can't add 6 numbers, only 1 out of a million need to know calculus. Reply 1 reply @johnr5252 1 month ago No. Calculus is as weird today as when I was in college. Makes no sense. 1 Reply @davidfrater9708 2 months ago Him noh save Ja Reply @audreydaleski1067 4 months ago Simple ones. Reply @tyreetristan8525 5 months ago When they said learn disability and I asked why I didnt think it was because they threw me in the working class oh wow Reply @richiev63 9 months ago I really could have used you 50 years ago. Reply @jlippencott1 9 months ago You don’t need calculus for the dropping baseball. Its simply 32 ft/sec^2 Reply 1 reply @M.C.Escher2001 7 months ago (edited) I have an active interest in calculus - the mechanism we use to observer change over time. Specifically (tensor calculus) because the bodies of mass and systems throughout the known and unknown universe are changing. Particularly the distance between the mass is increasing at highly varied rates. It's like quantifying the uncertainty. My goal is to better observe and assign numerical factors to what makes up the universe? Quantifying the big bang. Reply @mrscrambled3162 6 months ago Inconclusive video Reply @greatlambrini8722 7 days ago I would and learned how to do it in school, but it is no use to me whatever. Reply @michaelcase8574 3 months ago Didn't Newton invent diferential calculus? Reply @fredgassit3360 8 months ago You could have explained all this in less than 5 minutes if you elimated all the verbosity. Reply @5MA5H3R 8 months ago I didn’t understand any of this. You need examples. I eat crayons Reply @RocknRollkat 7 months ago Calculus Made EASY! Finally Understand It in Minutes! What the HELL ? Understand SQUAT if you don't explain the function and at 12:03 you tell me I'm too STUPID to understand it ? Where do you get off ? Bill P. Reply @babumathew538 8 days ago (edited) I am in the Heaven of Trishanku ( refers to the Hindu mythological story of King Trishanku, who, due to his ambition to reach heaven in his mortal body, ends up in a state of perpetual limbo, suspended between Earth and the heavens, neither in the celestial world nor on Earth, symbolizing a state of being stuck or in-between). I didn't understand any calculus. Reply @petegriffiths5896 6 months ago Good video, the guy didn't really teach how to make the calculations though, lots of adds all the time, very annoying Reply @fredsalter1915 9 months ago Does "dx" mean "delta x"? 1 Reply 2 replies @sunchoi9250 7 months ago TESLA Reply @HoneyBadger5540 9 months ago At 18 minutes, there is the introduction of the baseball being dropped from the top of building... then there are introduced "numbers" of the time of decline and speed of impact. This, is literally presented as factual at this timing in video. These are numbers that are calculable and factual. They are are not "allowed" to be introduced. USE FACTS. Otherwise, you're wasting everyone's time. 'nuff said on that item. Reply @IvanMidwing 9 months ago Really..... Reply @rayfabian9488 2 weeks ago What the hell is ‘heith’? Reply @JibbyOC 7 months ago So, up to about 8.30, you solved the problem of areas using integration - only you didn't. You just said the magic words. That's what my A Level teacher did. It doesn't give an answer. Really, it just restates the question in fancy terms. Reply @archnof0 4 months ago I can NOT understand it a lot quicker Reply @johnjackson3483 12 days ago The big question you didn't answer is, why is the area under a curve so important to know? Is it the magic answer to your overall study, say cancer research? Reply @mathemitnullplan 3 months ago this lacks most of the important concepts about calculus. nothing is said about the distance from f(x) which is the height of a slice in that area. also nothing about dx which is the infinitesimal width that leads to an unlimited number of slices - therefore we need a new symbol and cannot use the old sigma anymore (because this only works with countable elements). pretty superficial for a channel that actually claims to make you understand the math behind it. Reply @hemnat2000 8 months ago CALCULUS IS NOT DIFFICULT. THE TEACHER MAKES IT DIFFICULT , LIKE YOU Reply 1 reply @TheForeverMan 6 months ago The logical thing to do , would be to do an ACTUAL calculation using calculus. Just wow. Reply @John-wx3zn 6 months ago (edited) Stop worrying about subscriptions. Everybody knows that you want subscribers because you want a better chance at making more money through youtube. You will get more respect and make more money if you say it and stop trying to hide your money making motives. Did you know that people are beginners and have never thought about these ideas ever before so why do you say "right?" during the stream of your lecturing which interrupts your educational flow? If you want to ask questions, ask them at the end of your lecture after they know. If your content is good, everybody already knows where the subscribe button is and they will happy to click on it and subscribe to more of your content. More important than calculus is this: Please say "I call upon the name of the Lord, Jesus Christ, to save me" Romans 10:13. Tell everybody to repent. Tell everybody to read and study the Holy Bible for themselves and that it is understandable. Thank you for teaching calculus. Reply @rayscott4341 7 months ago pebble Reply @MarcelRGuimond 12 days ago yay :) Reply @Debbiecybergal 8 months ago (edited) Oh boy. Theroy . Mathamagics. Integers. Integrated. Integrand. Constituents. Imagine if we were taught to add and subtract with these words. So if adding and subtracting was taught an easy way why Not calculus. Or driving a car. We don't need to know how an engine works to learn to drive. We don't need to know how to read music to play an instrument. Unless you want to teach and sound oh so smart. Non music theroist are great song writers. Using the short cut of chords and rythum Reply @RErnie-gv1hv 2 months ago This video proves that some human brains just aren't wired for math. But hey, thanks for trying. 1 Reply 1 reply @peternevai8929 3 months ago Why 0 to 10 why not 0 to 447.5 Reply @fritsheimweg1009 8 months ago The dropping ball example is rubbish. How about v(t) = g * t ? Try again with height(t) Reply @technosimp3613 2 weeks ago Bull, there is no shortcut to understanding Calculus. You simply want to make money here, isn't it right my friend? 1 Reply @DerrickLanders-bg8wc 5 months ago Reading the comments i came to the conclusion that only "old Teachers" are watching it😅 Reply @philipmain5701 8 months ago This video in no way explained calculus to me Reply @m41incanis77 2 months ago I'm none the wiser! Reply @Carletta-nt2xj 3 months ago 🤨 Reply @MeaHeaR 2 months ago He sound Łiké Michio Kaku ¡¡¡ Reply @seekerami 1 month ago :( I'm almost dumber than when I started. Reply @louisdsouza6976 1 month ago A little. Blabla is OK, but come to the pt explain the Calculas, before the U T watcher looses interest. Reply @asternweg1 2 days ago Unless you command this math, you'll never succeed in any engineering discipline. I was fortunate to have had an excellent 1st senester Calculus professor. Reply @kraigteeling7420 8 months ago Way to much useless talking. Not a classroom that you need to fill time. On internet just get on with it. 1 Reply @emasolie4135 5 months ago Interesting, ??? Reply @vijayarajan1750 6 months ago Your video is great. Easy to understand the concepts. So I subscribed. What tool you are using to create this video?. Reply @SPYDREMAN07 7 months ago I didn't understand your language lol 1 Reply @HoneyBadger5540 9 months ago At 15 minutes, he insults his audience by "ASSUMING" they would end at the WRONG value because HE DEVALUES their intelligence. There is NO reason for this creator to have this... except what? Why assume ANY person would have the wrong answer? Reply @JamesWhittaker-jz1tg 13 days ago Too many jumping around. Take one problem, solve it. Then.go to the next problem, solve it. Jumping from speeding car to speeding ball. Im.lost Reply @dougmcdaniel8869 8 months ago Height, not hieghth please Reply @anthonyfoden9382 6 months ago Perfectly understandable; up to 9.36 mins. Then appears on the screen a weird equation for which is offered no explanation, except 0 - 10. All the rest, a complete mystery. Not impressed. Reply @abeblinkin6783 7 months ago I dont know your political beliefs of your sexuality!!!! Best teacher of 2025!!!!🎉🎉🎉 Reply @RobertFournier-d2t 7 months ago This is all about him talking...not teaching zzzzzzz 1 Reply @chetanjoshi2159 4 months ago B.s😊😊😊.b Reply @michaell.8938 8 months ago Still completely lost, but thanks anyway. Reply @DanBetta 2 months ago You don't keep saying "heighth", do you? Reply @Cooper-1717 8 months ago (edited) 🙄 You explained all the background very well and then left out the most important part - how to actually calculate the area. Thanks for wasting my time! Reply @treseros810 4 months ago Puedes dejar de decir tanto la expresión: "VALE"...? . Es una lástima. Reply @squarewave2 3 days ago You don' really explain how calculus works. It's easy to visualize adding up the area of many imaginary rectangles. You give us only two numerical dimensions of your example "zero and ten" and call this a "function". Somehow your example needs to have much more info about the curve itself. Is this provided by filling some info into the formula "fxdx"? Reply @josephkaminer2337 6 months ago This ok but it would be better if we actually use the formula to solve a problem. Reply @robertwatson818 3 months ago I never passed basic Algebra much less calculus.This is still gibberish to me.its terms cannot be simplified enough for me to grasp. Thanks anyway. Reply @Tomevone 8 months ago So you don’t know too Reply @budnye3334 2 months ago Please don't say velocity when you refer to SPEED! "Velocity" labels a VECTOR quantity, which has BOTH magnitude AND direction. So, velocity refers to speed in a particular direction. Every box of ammunition gets this wrong. The boxes should show the muzzle SPEED equaling whatever, not muzzle velocity. Bullets fired have a velocity only when one specifies the direction as well as the speed of the bullet. Math teachers who call speed velocity make it unnecessarily difficult for students to understand basic physics. Why do people do this? I think a combination of ignorance plus trying to sound better educated and more sophisticated. But in calling speed velocity, they just emphasize their ignorance. Reply @williamblake8650 2 weeks ago (edited) I guess there is no hope for me. If I cannot see math as money I am totally devoid of math knowledge. Reply @PaulSchuster-yj4zb 7 months ago sorry but I still don't have a clue, and I'm pretty good at math . Reply @HoneyBadger5540 9 months ago Lied about the "calculus" being necessary to solve the problem of "ball being dropped" from the top of a building... implies that there are no "known established equations" for solving. Is correct, I think, that calculus "solves" the equation, but is DISINGENUOUS in implying that there are no "KNOWN" equations. Calculus actually DEFINES al "AREA" equations. The triangle, square, circle ARE actually NOT devoid of "calculus" defintion. They reside WITHIN it. So, while not yet completely finishing watching this presentation around 19 minutes, I predict that the presenter will, unknowingly, confirm my assertion and his contradiction. Reply @abdiiboruushaakkiissoo6465 2 months ago (edited) Too slow to start the main .. Reply @warrenjameson5465 3 months ago Showing TERMS is not showing HOW to solve. WHERE do you get the inputs for X in both the f of x and Dx? I would have stopped your class mid sentence to get you to explain it, because IF I didn't understand, probabilities are that more of the class didn't either. Instructors/Teachers/Professors hated it when I raised my hand, because they knew I wasn't going to let them continue UNTIL I understood. AND this video gives ZERO Understanding of the topic. That is WHY I was able to do vector analysis and Calculus in the Navy for my job. BECAUSE I made sure the Instructors actually TAUGHT it. Reply @mikekalish6796 4 months ago (edited) So you think you're going to teach integral calculus to someone who has no concept of functions, limits, trigonometry, and differentials? I took two years of calculus at Carnegie-Mellon University, and it took almost a full semester to get to where you're starting....and that was in a class of students who had a good foundation of analytic geometry, algebra, geometry, and trig. You're doing a disservice by suggesting that you can learn calculus in minutes. Click bait. Reply @tedd1091 7 months ago I am brain dead as far as mathematics is concerned. It killed my GPA in College and I barely graduated with a BS Degree in Business. While your explanation here may seem a logical way to teach Calculus you lost me within the first minute. I am good in basic arithmetic but this "abstract math" like Calculus and Algebra just simply leaves me cold. I become lost in formulas and the application there of and can't even visualize why the hell I want to know this.. I'm retired now after a long career as an airline pilot and to this day struggle with abstract math. Thanks for trying but abstract math it is still clear as mud as far as I'm concerned. Reply @JeniferTroxel 2 months ago You still haven't measured all the area. Reply @waltersickinger263 1 month ago A teacher.......zzzzzz 20 min for 5 min info Reply @peterfairley1 3 months ago Good. But too repetitive & deliberate in illustrations. And disappointing that teacher never finished any of the calculations he started. It's true some teachers make the mistake of going too fast without clearly defining terms but it is also a mistake to go too slowly Reply @illeagleproducts4u 3 months ago It is pretty obvious. Reply @YusufTabet 1 day ago (edited) and the answer is tun dat ta tun its like my dog ripped out the last 10 pages of a book did the butler kill them did moby dick die Reply @justice_7_7_7 13 days ago There's no way to calculate the speed of the car at 3 seconds without knowing the velocity at every microsecond. And where are you going to get that value? Reply 2 replies @robertjones7565 8 months ago Still don't understand any of it :) Reply @miketack2286 8 months ago Got bored listening to you going on.. come quick to the point 1 Reply @TheMicrofox 2 days ago (edited) Why do you say Calculus in English? We call it Integral respective Differential in German. Reply @robappleby583 9 months ago Calculus isn’t hard. Analysis is challenging though. Reply @Face-u3m 3 weeks ago I’m done Reply @abooswalehmosafeer173 8 months ago Helpful but taking too long to get to the punch line Reply @lebee4879 9 months ago I still have no idea how to find the area of a circle square or triangle. So you haven't honoured your headline - waste of 7 minutes of my life. Reply @SebNutter 8 months ago Fails to tell us how to calculate acceleration. Reply @PWCT2012learn 6 months ago did he explain what he promised? No! Reply @helicart 7 months ago 20 minutes for the most superficial treatment of the subject?! Reply @leckrazboyjoonauth5504 12 days ago Please try and be succinct and to the point. Reply @mrgerrytube 8 months ago Nerd alert 😝 1 Reply @CodyTLump 4 months ago Very confusing. Reply @leemar2033 1 month ago Too complicated. Why not double the area, making a square and divide by 1/2. Reply @script.worker 7 months ago Me=don't understand numerics. Reply @tonyathas1 8 months ago Just a bit deceiving when you refer to a curve of a KNOWN function as a squiggly. Makes me wish I never complained about my calculas professors. Reply @Religion-Is-Fiction 7 months ago Calculus isn't nearly as hard as partial difficult equations 😆 Reply @s_patzz8212 8 months ago EVERY FRIKKING DAMN CALCULUS VIDEO ON YT SHOWS THE SAME THING BUT NO ONE EVER FINISHES WITH A NUMERICAL FRIKKIN VALUE... JUST DO THE DAMN SUM... AAARGHHHHHHHH!!!!!!!!!!!!!!!!!!!!!!! Reply @cranegantry868 8 months ago 8 minutes and he (with huge boring repetition) has not described calculus. Reply @Larimarc 2 weeks ago It’s unfortunate the US is still using mph, and feet… ugh. Reply 1 reply @KevinRussell-c4w 2 weeks ago Four decades? Doesnt sound that old Reply @karmac-v1i 1 month ago Derivative is actually quite easy nowadays and we experienced it everyday in our lives. Derivative is how financial institution came up with to steal our money or more precisely our wealth. Sorry got side tracked...but just being real in 2025 Reply @senatorjosephmccarthy2720 7 months ago Why do you keep asking the viewers if it's "ok? Reply @Paul-kd3ui 1 month ago 23:28 the speed of light is roughly reduced to the speed of sound with 20 million?.... This apparatus , photons are reduced in speed travelling through glass. Lead chystal glass even slower, sodium chloride Crystals? REPEAT the three slot photonics experiment with this apparatus RAMPED UP. Theoretically ,your video is. "" Proof of Concept". Photons can be captured traversing through air? A vacuum!!? This is groundbreaking stuff to me. Because photons are the secret to. EVERYTHING! Reply @roncotton7963 6 months ago Oh my really that’s tells what as that made zero sense Reply @jackbramwell5208 4 months ago Why does he drag it out so much? Reply @danburke6568 1 month ago Half the video talks about how easy it is and fails to explain the speed of a car or falling ball. Not cool. Reply @rjb6327 7 months ago (edited) 12 min into the video and I'm watching TV. 🤨😑 zzzzzzzzzzzzzzz Reply @etheral9027 6 months ago 20 minutes and no explanation, = fail Reply @OldGuelphPianoStudent 7 months ago In the end you still didn't solve that wiggly shape though. This is why calculus sucks. 1 Reply 1 reply @joakimlavapiez7549 6 months ago i got a 0 watching this Reply @DAVID-pc9tc 1 month ago The worst tutorial 1 Reply @moshetortomasi5652 5 months ago why do you teachers think you need to talk and dramatize so much. Half of this video was unnecessary. Reply @nodangles6983 7 months ago That was a nice presentation, but what is this "heighth" you speak of? 😆 Reply 1 reply @tony82900 2 weeks ago That is all very well. But someone needs to make a video on what this is used for in real life! Unless you work for NASA, or are a calculus teacher, chances are you will never EVER need the area under a sin wave! Reply 2 replies @babykidlet 8 months ago Unfortunately, this video was more a prolonged sales pitch to pay for a class rather than telling how to solve the specific calc problems you posit. You didn't finish the explanations for solving the problems--or provide answers. Reply @pippipster6767 1 month ago I am naturally brilliant at calculus. Let me demonstrate: X (x) - 2 Y (y) = Z (z) See ! 😂 Reply @michaelschlimm1763 8 months ago I’m glad I can come here to learn this but the amount of time to get to the point because of totally unnecessary commentary is ridiculous. I’m 12 minutes in and he still hasn’t got to the point. This video could be 5 minutes easily. Reply 1 reply @disruptapps 18 hours ago If I see someone using software found on Windows 98 or XP, I watch - cuz they are old school and know what they are talking about, unlike this AI slop influencer society we have today Reply @jhunvillarealolorvida6315 3 months ago Long time of explanation, make it simply. Reply @santiagovenancioromero9070 2 weeks ago Awesome! My hat's off to you. Thank you very much. Reply @joninio6542 10 days ago Don't bother wasting 20 minutes of your life here, you will learn nothing by the end of it. Reply @stanrygula9313 3 weeks ago I’m sorry you provided 3 problems and never worked them out to an answer. Did I miss something. Reply @thewizard5079 8 months ago I must be a real dummy. Why would I want to know the area under a curve? Where would I use that information in real life? The inability to see relevance imposes a total block on understanding ... Reply 1 reply @bunnykiller 2 months ago calc is useless until one knows how to find the function.... Reply 1 reply @bud2171 2 months ago a lot of unnecessary talk. It’s simple but u r making it very complicated. Reply @daviddemarsh1371 2 months ago Holy crap what a long winded explanation Reply @markrounding2731 6 months ago I learnt nothing Reply @alexanderpushkin9160 7 months ago I haven't learned how to ho calculate area of complex shapes or how to find speed of accelerating object in specific times. Useless video. Reply @MilkePan 3 weeks ago Ye I think that’s a terrible way to introduce Calculus (sorry). I taught my 12-year-old had to do differentiation and integration in about 15 minutes in a completely different way Reply @Frank-sirisO 7 months ago Also, you people do know that math is fundamentally incorrect, right? Should I explain that too? Reply 2 replies @izkmrf 7 months ago Long and garrulous. Reply @juanpabloferreiro3724 4 days ago La traducción al castellano es espantosa e incomprensible Reply @angrypidgeon1714 1 month ago (edited) Philo-Math =]. Education = brainwashing = conspiracy. Proof: to know and work with geometry, you need to kow the concept of area for example, not the formula that provides it, which can be written down. In programming this is called passing parameters to function by reference not by value, it's an optimization technique. Government formal education forces the student to memorize the formula for no practical reason, achieving the following: wastes the student's time and memory, both finite. Since human being have only so much memory and time, the end result is idiots are created knowing useless things to themselves (but not to the exploiters), not having time to learn the important things, like philosophy, figure out one's best interest, like not being exploited. Hence students are brainwashed to be tools, smart enough to do the job, not smart enough to not do the job of others. Ez =] Questions? References = logic, programming (education in essence), capitalism (exploitation), philosophy, George Carlin =]... and of course formal education won't teach you this, neither your rights, nor how to litigate for them, nor that it's completely useless since there's no such thing as the judiciary, or the law, or rights, or democracy, which I can also hands down prove, so why pay taxes and work for others? I already said it: because of being an idiot, that's the whole point of government formal education, more productive slaves... it's so easy to not question why would students be forced to do something stupid and self harming, but if you insist and create by it that sinking feeling in your stomach, and you do not compromise your own judgement tolerating idiocies, and apply the same critical mind everywhere then you'll really begin to learn. If the government cared for your best interest, or society, there would be a demand for this, instead there's political repression in many forms and tiers, soft (social conformity, media) and hard (judiciary lawfare and psychiatric chemical lobotomy). Memefied: autocracy, autocracy everywhere =] Reply @Simontolivar 3 months ago Very interesting but math is a weak subject for me, like physics. This prevented me becoming an air force pilot . Frustrating.. Reply @PeterH-be1xe 7 days ago Nope, sorry, the math block I developed after having a horrible teacher in high school just won't let me get it. You may as well be speaking Mandarin 🤷🏻‍♂️ Reply @Tpecroe 2 months ago I was waiting for you to solve at least one of the problems presented. Without a solution the video is of no use to the student. Poorly demonstrated. Reply @vickblack72 1 month ago (edited) Okay, that was reeaally annoying. You don’t explain how to calculate either problem—but instead, over explain the approach to both problems?? That’s 20 minutes I’ll never get back. Reply @EduardoSouza-gx6pn 1 month ago Enrolação. Affff Reply @anthonyat2401 7 months ago Explains nothing. And the area under the curve is??? The first 11 minutes could have been done in 40 seconds. A waste of time. Reply @alschneider5420 7 months ago YOU DO NOT UNDERSTAND CALCULUS. You just parrot a procedure your mommy taught you! Reply @TTINGTTONG-j3l 8 months ago ...story that go nowhere... Reply @userer4579 7 months ago Wow, so many cvnts in the comments who obviously missed the point of this little introduction video. No wonder the West is going to shite. Reply @rajeevagrawal8128 9 months ago Presentation is very boring . Reply @YilmaWako-cd1du 8 months ago Instead of going around the bush for a long time, talking about the concept, just try to solve atleast two practical problems. Otherwise, your lecture becomes boring. Reply @misterkendoll2252 2 months ago Your definitions were sorely lacking, and the method of actually calculating the combined area if infinitely small rectangles never happened (the hard part). Disappointing. Reply @santhakumarr7014 7 months ago The narration is much more rubbery than the simple meaning of calculus. Useless vudeo Reply @bruceaustin1373 8 months ago BORING!!! With a capital B!!!!! Reply @yorkshirechapuk6057 3 months ago Calculus and algebra never makes sense Reply @rayober2273 3 months ago What a long winded talk that told me zero about calculus. Reply 7 months ago In minutes? By my calculus this video is over one third of an hour long. That's like one term at university. Do better :) Reply @every1665 7 months ago Sorry - but I don't understand how you sum the areas of an infinite number of infinitely small rectangles. Reply 2 replies @tobymilo3129 1 month ago Too long an explanations after 5 minutes Reply @scottshoemaker4143 8 months ago 20 mins of explaining… nothing. Reply @TattleTale106 7 months ago First of all, i don't believe you ... Reply @jra55417 8 months ago What is it with you Yanks and the use of “Heighth”? Reply @hemnat2000 8 months ago WASTED TIME Reply @lugs118 1 month ago This hasn’t helped at all, add together an infinite number of infinitely narrow rectangles, surely that would take an infinitely long time and be an infinitely large number? At 12:10 you said “it’s something you can’t handle” 😂maths teachers 🤷‍♂️ my quest for understanding continues, just not here. Reply @AugustoEguiguren 1 month ago but you didn´t solve the problems, now I´m even more frustrated....😖 Reply @moecrosby4089 8 months ago You take way too long to get to the point. Reply @petermw88 6 months ago II watched this with interest, actually hopeful interest. Sorry, but you failed. You did what every other math teacher does, failed to explain the most important part. How do we find the actual height of each rectangle? Do we measure it? Reply @peterseah3444 1 month ago why the repetitve long windedness. come to the point. Reply @Li.Siyuan 1 month ago A complete waste of time without examples. Reply @Ron-y1b 7 months ago (edited) No!! endless repetitive explaining with exhaustive examples and never actually getting to the solution Far to much maundering. I was almost screaming at the monitor, will you get to the effing point You were still drawing rectangles long after the penny had dropped When the accelerating car example rambled on to falling off a roof. I just gave up before I did myself an injury Reply @ZbigniewLoboda 2 months ago Click grabber 👎 Reply @planetchubby 2 weeks ago You explain what you use it for. You give examples and numbers. And then you don’t provide the results. I’m disappointed. What was the speed of the baseball at exactly 1.78s? Reply @RanceMcManus 1 month ago Sorry. Would have been nice if you completed the problem instead of saying “you can’t handle it”. Still lost. Reply @ericschnittker6775 2 months ago POOR. Stumbling around, unable to carry through with examples. Hint at derivative and not finishing it. Did not bother to finish explaining the f(x) and the dx. This is the same thing my professors also failed to explain. THUMBS DOWN ! Reply @alexhidell663 3 months ago Thanks for a waisted 20 minutes Reply @Austin4098 7 months ago You are a shining example of why the American education system is so fatally flawed. Your method limits your students to memorise and regurgitate information without requiring them to understand what they are memorising. This is NOT learning. Learning involves the process of COMPREHENSION. If you are not providing your students with the ability to understand what they are memorising, then you are wasting EVERYBODIES time !!! Including your own !! Reply @MeaHeaR 2 months ago Again another disappointing calculus video she attempts to show how to determine the integral of "an arbitrary squiggly line" yet doesn't shoe how to derive the equation of the Squiggly. iiné ¿¿¿¿¿¿¿ *sigh** Reply @KMass95 3 weeks ago You didn't teach how to do calculus. Just it aplies to. Reply @alonsoquijanox 3 weeks ago There isn't any shortcuts to get calculus. This is bullshit. Reply @billryan1776 3 months ago You started strong, but then the instruction started fading...a bit disappointing! Reply @AlfredWegner1 1 day ago How slow do you have to be to follow this? He just repeats himself over and over. Reply @RobCoghanable 2 months ago Unacceptable so far no help Reply @michaelshortell1482 8 months ago Tried to watch your very enlightening video but got distracted by your many "okay " , "alright " and lip smacking. Sorry, my Forte is speech. You sound nervous to me. Reply @techzawesome3564 8 months ago You talk too much 😂😂😂😂 Reply @theholidayplan268 8 months ago DONT DRAG YOUR VOICE GET TO THE POINT DIRECTLY IT BORES THE LISTENER Reply @nooraldin11 8 months ago waste of time !!!! i thought you will show how to solve the problems, not just saying that calcules can solve the problems ! what a genuse ! Reply @blurta2011 7 months ago Mate you are so hard to listen to, you are all over the place and I just couldn't focus on what you were on about Reply @rogerwood8485 8 months ago What a wasted video that's not calculus Reply @AimeeGirl 6 months ago 15:30 if a constant rate, maybe 30 mph, but based on your curve, estimate would not even be close to 48, but rather less than 30 mph. Just saying. Reply @55north17 10 days ago so laborious. loosing the will to live.- awful Reply @Frank-sirisO 7 months ago (edited) LOL. I've explained linear algebra in like 1 minute. Try some geometric algebra. First hint, what's a simplex? Reply 3 replies @marcibb3167 6 months ago This guy must really like the sound of his own voice 1 Reply @vinland98trance 3 months ago This was a waste Reply @moshetortomasi5652 5 months ago you literally taught 0 calculus and with your stammering and repeating yourself I think I learned less than that. Reply @hishamkalim8602 8 months ago What a waste of time? Useless ...Finish ....Stop promoting yourself and satisfy your egotistic needs... :( Reply @tricky1212 8 months ago Man…this guy is so long winded….i’m glad I was not in his class Reply @waynemartin2292 1 month ago So much word salad. Reply @dhanasekaransundaram4141 8 months ago What is the answer? Meaningless videos like this should be stopped. Reply @glennfiddy6569 6 months ago What's wrong with this lady -- she is waving her arms around like a dummy in a hurricane? Reply @KevinRussell-c4w 2 weeks ago Shocking waste of time Reply @danabris 3 months ago In ten minutes, really i not understand nothing, so bad explanation Reply @DennisKeough-u8z 1 month ago Talk too much Reply @RobertSmith-qs2gm 3 months ago No !! Just No !! Don’t need this 💩 Reply @davepreston6293 2 weeks ago This man is painful to listen to. He also never gives the answer to the first problem so I didn't learn anything from this post. It Sucks Reply @willallchin7934 9 months ago Incomprehensible Reply 2 replies @DixieBirchBark 1 month ago Talks too much, just explain, and stop trying to entertain. Reply @TheDirge69 3 months ago 20 minutes of fluff to get no answer. didn’t post a result?! Reply 1 reply @peppipeppi51 7 days ago this video is absolutely useless. You are incapable to calculate the area beneath a function or the speed of an accelerating car before that video? So guess, what you are capable of doing AFTER you spent 20 minutes of this bull crap! Nothing more! You are still unable but on a higher level. It´s a shame wasting peoples attention and life time. I hate those grifters. Reply @ronib2508 3 months ago Sorry freind but your videos are all like this. Too much talking. Repetation of meaningless words. Talking about calculus as if you are telling a children story. Make it just short and stick to the facts. Reply @octavioaraujo1674 7 months ago Sorry, you lost me; your explanations are way too convoluted. as one teacher to another. Reply @NOSLIWKR 3 weeks ago You talk too much. Reply @blurta2011 7 months ago Mate you are very confusing in the way you teach Reply @randallparker8116 2 months ago You have been speaking to children for far too long. Get to the point. never mind, its faster to just go back to High School Reply @fimavaisman3474 2 months ago This is kind of useless! Reply @mikemontagne 7 months ago (edited) Up to 17:34, you haven't stated or inferred whether the rate of acceleration is linear, as is the case with the acceleration of gravity, or any other force acting upon any given mass. Inasmuch as your statement of the problem does not declare any additional complexity, it is therefore reasonable to assume we're to take the rate of acceleration to be constant. Thus we cannot truly understand why you're insisting we have to deploy calculus to resolve how fast the car would be traveling at 3 seconds of ten seconds of acceleration from 0 to 80 mph, because at 3 seconds for example the momentary velocity ought to be simply: (3 sec ÷ 10 sec) × 80 mph = 24 mph Another way of calculating the momentary velocity of a constant rate of acceleration would depend upon the resultant 8 mph per second rate of acceleration. Thus we can also simply resolve the issue as: 3 sec × 8 mph per second = 24 mph Likewise (at 18:35), if the baseball you drop from the building accelerates (linearly) from 0 to 105 mph in 2 seconds, its rate of acceleration is 52.5 mph per second, and thus at 0.78 seconds, its velocity is 40.95 mph: 52.5 mph per second × 0.78 sec = 40.95 mph Similarly, the baseball has fallen 000443625 miles or 23.4234 feet in 0.78 seconds, because its average velocity over that 0.78 seconds is 40.95 mph divided by 2: 0.78 sec × (40.95 mph ÷ 2) ÷ 60 minutes per hour ÷ 60 seconds per minute × 5,280 feet per mile = 24.4234 feet So I believe, and the rest of us should understand, that you meant for your example problems to solve more complex patterns of acceleration. I don't mean to nitpick. You have a good core here. But it is still a mere partial explanation of the symbology, which leaves us hanging: We don't really get to see how calculus serves us, unless the idea of calculus is further rounded out. In other words, we still have at least two mysteries which at best can only leave us stupefied: These are 1) how the expressions actually enable us to calculate otherwise irrational areas or ramifications of acceleration (or varying speed and so forth); and, 2) how the required expressions are developed. Personally, I believe that fabulous explanations for each would be extremely compelling arguments for mastering calculus. After all, the only other means for solving such complex irregularities are computer algorithms. For any student to actually apply calculus to any problem, we have to be able to develop and apply these crucial aspects of calculus. Neither can we truly understand the value and scope of calculus then, without clear and useful ideas of these aspects. Realizing that we often have just such problems to solve, a person could be compelled to sign up for one of your courses, for no more than watching that one ditty. Reply @jean-pierredeclemy7032 1 month ago Disappointing waste of time. You didn't solve anything. Reply @keithd5181 8 months ago It is called maths. You just failed English 101. 2 Reply @SharpObserver1A 4 months ago The basics are useless, Reply @LynnLynn-g4l 10 days ago What a f-ing waste to time, you taught nothing here but common sense things and some equations without any explanation of what they are. I do not think I will subscribe! Reply @marcusbarnes7249 5 months ago THIS IS CHINESE PROPAGANDA Reply @eolhcytoos 4 weeks ago What a boring video. You spend too much time rambling and lack discipline in your presentation. Reply @roderickmalanyaon4853 3 months ago You need algebra, geometry, or trigonometry to solve Calculus. Reply @StaticBlaster 3 months ago Calculus is not advanced math. It's actually one of the last easiest math subjects you'll study. Reply @Wonderer-s9t 3 months ago Understand Calculus in 10 minutes, yet the video is over 20 minutes long. 😂 Reply @JohnD-f2o 5 months ago Never had any use for calculus or even algebra. Took middle school math and that got me thru 60 years of life. Reply 1 reply @TerraNovaSpirit 2 weeks ago 🙏🏼🌹❤️🌺♥️🙏🏼 Reply @nabuk3 7 months ago This assumes that most people want to learn Calculus, or that it is a practical skill, when probably less than 0.001% of the population will have any use for it in their lives. I did well in school, but was required to take calculus despite being a biology major. I HATED every minute of it. While having an easier way to learn it may have eased the pain, I still don't see the reason to make it a required subject for many students with majors unlikely to have any need for it. Reply 1 reply @jhvorlicky 7 months ago Right...... So how do I find the area under the curve? How do I find f(x)? How do I use f(x) to generate all those infinitely thin rectangles? Sooo many questions... Reply @vinodvenugopalan432 3 months ago Pl talk less and concentrate on what you are teaching Reply @Bill_D. 7 months ago I passed calculus one, but failed calculus 2. I haven't used it since, in 40 years. I figure it is to weed out the students, like learning a foreign language that is never used. Reply @geraldjackson1782 4 months ago WTF dont you start by defining what calculus is, what's it's purpose and why was it invented. Instead you rush into different formulas for calculating areas of shapes. Change your title. Calculus and other mathematical concepts are NOT easy. Reply @AntonioHernandez-x7e1i 7 months ago 💀🏗️- Reply @moodiblues2 7 months ago (edited) All you explained was that somehow a person can figure out the area of an odd figure, without explaining any actual calculations. So your video’s title is basically clickbait as you didn’t give someone the ability to figure out anything at all. Reply @RasoulGholami-c2z 7 months ago In spite of you brag that you have been teaching maths for years you weren't able to do the job and even last minutes was disastrous . Reply @thangjamratanmeitei5458 9 months ago Very lengthening, so much repeated explanation Reply @SirReptitious 7 months ago TLDR; the reason for the click bait title is that he doesn't actually fully explain it! Don't waste your time with this video... Reply @asifkidwai6466 8 months ago Surely not a good teacher. Will confuse the student by unnecessary talking. Cld do better thru examples Reply Top is selected, so you'll see featured comments