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Well done.

Excellent video

I surely wish I had this video when I was learning Calculus in College !! This explanation is SO MUCH BETTER / CLEARER !!! Thanks !!

@58m50s ... I'm just an engineer and I don't know ! LOL, but you sure know

One of the best Calculus videos EVER. Crispy Clear!

In my university we had a course on "stochastic". Where does that term fall within this map? And what would you expect it to include from the topics in the video?

Do a video on calc 2 and 3

This ep has been great. I just wanted to revise the math I did at varsity, just to see if i could still do this stuff. My old prescribes varsity books were very ,very , very boring to go through. You simplified this lesson in such a way that brought me up to date, AND, and Dennis, clarified things so crystal clear. I've been doing some problems on my own. my main motivation for this is that I want to understand and have a more clearer understanding, mathematically of a few physics concepts. and recently listening to Eric Weinstein put a flame under my ass. 2nd I want to feel more fluid in applying Calculus to my everyday mediocre problems I'll think about

Can you do one on: - Information theory - Markov chains / hidden Markov chains / Semi Markov chains - LA / ML / AI

How do you made the visuals and animations?

This is so good it's tragic, I could have been in an entirely different career if I had had such a clear teacher as yourself some 30+ years ago. What a marvelous video that will elucidate the many minds out there looking for such explanation your guidance will alter the course of many persons understanding and in some small way change their lives via the confidence they glean from this video.

Technically you’re only conceptualizing calculus rather than actually doing the work, which is more than half of the learning, which was mentioned, but let me just re-iterate.

I am awaiting a series/big episode of Probailty and Statistics

Yoo the goat is back

1:41:30 a fan of LoTR ;)... thanks for this amazing video.

Please let us know how we can support you in making more videos! This video has been a life saver!!! Please keep them coming❤❤❤❤❤❤❤❤❤❤❤

Visualization is key as thousands of words and a lot more time doesn't achive the goal visualization does

Great video

Please another video with set relations and functions❤

Thank you for the video Dennis, I will update you after I take Calculus in the fall. I am not so afraid of failing now. I love how well this video is organized and will definitely use it to supplement what we learn in class. I pray you will always be safe and that you take care of yourself as well so you can make it to retirement and be an amazing and inspiring professor.

Really impressive presentation and exposition on calculus. Anyone can have a good understanding of calculus basics. Thank you.

The clarity of this overview is incredible!

ill forever remain grateful for this vid

I aced calculus in college 25 years ago in college. Now watching this video makes more sense than all those 3 years of college calculus combined. So whoever finds calculus difficult you have hope by watching excellent teaching videos like this. Thank you !

@ 1:19:03, is the derivative right? I mean, how come sinx/cos^2x is tanx? BTW, thank you so much for this and trig class. You are the best!

Also noticed a slight error at 2:36:15 where \int{sin(2x)} should be equal to -cos(2x)*2

At 1:19:03 how can you write sin(x) ÷ cos²(x) as simply tan(x) even if we separate the denominators ?

Beautiful work... I finally truly understand how the unit circle works and can now draw it on a blank paper simply based on understanding how to get all of the components rather than having to memorize these.

WOAHHHHH!!! YOURE AWESOME SIRRR

wwwoowowowowowowoowowowowowoowowowowowoowowoowowowowowowwoowowoowowowowowowowoowoooowwww!

We need to protect this guy any cost...

What a wonderful video..👏👏👏

amazing instructions . so much logical . even people hate math who like me can't refuse the tuition

A very beautiful video... May I suggest you redo the video, and remove that Red unmoving band occupying ⅓ of the left side of the screen. This is because as much as I would love to watch the video 3 hours straight, I'm afraid my tv would suffer a burn-in image, a ghost image.

Sir you made me to fall in love with maths❤❤❤❤❤❤💖💖💖💖💖💖

I made it to 1minute and 48seconds before I was lost...

I too am a engineer, electrical. I took calculus at the university 55 years ago. If only this video aid and explication was available at that time . . . . great job, Dennis. I'll have to take a look at your other videos.

I finished your trig series a few weeks ago. You are godsent! Thank you for this.

Wow, quel beau montage!. I'm an engineer (retired) and i never see a resume like that.

Always wondered what happened to Butthead

At 1:19:03, the presenter forgot to divide the second term by cos(x). Because in the denominator it was cos(x)^2, one of which turned into tan(x), the other got missed out.

Absolutely amazing sir, what do you use for the wonderful animations

🇷🇺😙

This is as close to perfect instruction as I have ever witnessed. BRAVO!

Thanks you so much

Straight forward notation for the second derivative is d/dx (dy/dx) This would be very cumbersome if we wanted to keep going and take 3rd, 4th and so on. So to simplify and better convey the concept of further derivatives - for the 2nd derivative the numerator d^2y indicates that we are taking the derivative twice (hence the “2”) of y. The denominator dx^2 suggests that this differentiation is done with respect to x , twice. And we can keep going d^3y/dx^3, d^4x/dx^4... I am not a mathematician, chatGPT is (sorta, kinda lol).

"Modern math lectures need to learn these teaching techniques. Wow, you made world students proud that we have Dennis F. Davis!"

This so well done! What software packages did you use to create this wonderful video!

This is a masterpiece. One of the best videos that I've seen on CZcams.

GOD BLESS YOU! WE WAIT ALGEBRA / ALGEBRA LINEAR/ CALCULUS2