@larrysmall3521
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.
@albireo9
Learning calculus & rates of change & all that became crystal clear when I simplified differential calculus as "slope-finding" and integral calculus as "area finding".
@jakejake7289
I wish you were my calc teacher 38 years ago. Most people manage to pass calculus without really comprehending it. Great job!
@bobbymac3696
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.
@taura101
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.
@eleangthang8555
Thank You Very Much (from Thailand)
@nyxandtyr
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.
@johninh.b.6503
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.
@kenwoodruff3639
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.
@DrinkingStar
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..
@emptech
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
@OregonMikeH
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.
@thomaswebster444
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!
@jimbrooks2944
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.
@8888Rik
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.
@niazghumro2350
It gives me immense pleasure to explain cslculus in differential and integral form.
@ramyafennell4615
Lovely...Im 76, no maths since 16, and you got me, thanks.
@benkanobe7500
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?
@agun214
this video addresses the WHY of calculus very well. learning the HOW should be much easier (i would love a HOW video lol)
@tabletclass