⭐ Table of Contents ⭐ ⌨️ (0:05) A Preview of Calculus ⌨️ (37:25) The Limit of a Function. ⌨️ (1:14:30) The Limit Laws ⌨️ (1:51:00) Continuity ⌨️ (2:16:52) The Precise Definition of a Limit ⌨️ (2:45:52) Defining the Derivative ⌨️ (3:10:16) The Derivative as a Function ⌨️ (3:34:28) Differentiation Rules ⌨️ (4:04:05) Derivatives as Rates of Change ⌨️ (4:39:40) Derivatives of Trigonometric Functions ⌨️ (4:55:30) The Chain Rule ⌨️ (5:15:08) Derivatives of Inverse Functions ⌨️ (5:40:18) Implicit Differentiation ⌨️ (6:06:28) Derivatives of Exponential and Logarithmic Functions ⌨️ (6:31:32) Partial Derivatives ⌨️ (6:53:10) Related Rates ⌨️ (7:19:48) Linear Approximations and Differentials ⌨️ (7:42:56) Maxima and Minima ⌨️ (8:01:59) The Mean Value Theorem ⌨️ (8:21:21) Derivatives and the Shape of a Graph ⌨️ (8:45:59) Limits at Infinity and Asymptotes ⌨️ (9:11:35) Applied Optimization Problems ⌨️ (9:42:36) L'Hopital's Rule ⌨️ (10:14:01) Newton's Method ⌨️ (10:35:24) Antiderivatives ⭐ Next Courses⭐ Calculus 2: ua-cam.com/video/h4Vhh7aFmWw/v-deo.html Calculus 3: ua-cam.com/video/0yebWTXixnE/v-deo.html
Same here. I'm 73. Took (and flunked ) calculus in high school. It probably was equivalent to pre-calculus back then. These lessons make it so much easier and much more fun to learn.
Topics: 2.1 A Preview of Calculus. 00:00 2.2 The Limit of a Function. 37:25 2.3 The Limit Laws 1:14:30 2.4 Continuity 1:51:00 2.5 The Precise Definition of a Limit 2:16:08 3.1 Defining the Derivative 2:45:52 3.2 The Derivative as a Function 3:10:16 3.3 Differentiation Rules 3:34:28 3.4 Derivatives as Rates of Change 4:04:05 3.5 Derivatives of Trigonometric Functions 4:39:40 3.6 The Chain Rule 4:55:30 3.7 Derivatives of Inverse Functions 5:15:08 3.8 Implicit Differentiation 5:40:18 3.9 Derivatives of Exponential and Logarithmic Functions 6:06:28 3.10 Partial Derivatives 6:31:32 4.1 Related Rates 6:53:10 4.2 Linear Approximations and Differentials 7:19:48 4.3 Maxima and Minima 7:42:56 4.4 The Mean Value Theorem 8:01:59 4.5 Derivatives and the Shape of a Graph 8:21:21 4.6 Limits at Infinity and Asymptotes 8:45:59 4.7 Applied Optimization Problems 9:11:35 4.8 L'Hopital's Rule 9:42:36 4.9 Newton's Method 10:14:01 4.10 Antiderivatives 10:35:24 Enjoy ❤️
This is actually a particularly excellent course on the topic. It makes a big difference when the speaker doesn't...go off on a tangent...every 30 seconds and leave us all confused.
Advanced Math has always been difficult for me even though it has always been of great interest to me but your courses makes it very doable. Keep up the good work.
Thank you so much. I have never been into maths, since I am language teacher and translator, but I decided to give it a try with the maths background I have from my school days and I have to say you are making miracles here! It's not that scary and it's not so difficult i mind devoted to communication, arts and music could not grasp. There are not limits for human minds. Most of the times we are ourselves the hindrance with our fears and uncertainties. Professor Leonard is another fantastic teacher whom I recommend here on UA-cam for you to review these same concepts in his videos too. It is always better to get to see it, twice, three times. It is a habit I bring from the language learning.
Simply great video . Especially for math lovers and self learners. It took me almost 3 days to finish along with preparing notes. But I tell u this is surely worth watching .
I assume it's accidental clicks... 59/3859 is about 1.5%. The dislike button is right next to the like button. It's possible that all of the dislikes are accidental clicks...
Because this has nothing to do with Machine Learning. In fact it isn't only a basic course on high school level calculus. No taylor series, no differential equations. It's a misleading title and anyone interested in ML is wasting time watching this. It's of zero practical use.
People are twisting over the speed of this video. The title states "for beginners" I am a complete novice and have never touched this area of maths before and the pace in my opinion was absolutely perfect, if it was too fast and I couldn't keep up, I would look elsewhere, so just want to say, and it's purely my opinion. This was Fantastic for me
@@Ketan-kw4xb I think yes IF you already understand: variables, functions of variables, algebra, geometry, & trigonometry, although watching this you may be able to pick up on those from it if you have just a rudimentary knowledge of them.
One could also set playback speed to 1.25x or 1.5x, or even skip ahead in the video. People complaining about things they themselves have the ability to improve is the worst combination of lazy and stupid.
Professor Academic Lesson, thank you for an exceptional video/lecture on Calculus for Beginners full course/Calculus for Machine Learning. The problems and examples are excellent, however there are errors in this UA-cam video. At the 10:41:42 minute mark, when you integrate 1 divided by x dx, you have the ln of x plus C instead of the ln of the absolute value of x plus C. At the 10:45:00 minute mark when you integrate x raised to the n dx, you get x raised to the n plus one divided by n plus one plus C instead of x raised to the n plus one divided by n plus one plus C and n not equal to negative one. At the 10:46:48 minute mark, for examples three and four, please add equal signs after you integrate. Please correct these errors in the video.
Just ordered TI84 calculator Wednesday and received it Friday a day early. Cannot wait to have a refresher watching video and practicing...watching this video. Books are on the way...
Studied calc 1 and calc 2 in university in my early twenties. I’m 54 now and I am still fascinated by this. Just finished watching the first section. Now I’m helping teaching my daughter this. Btw. I’m a math geek. She isn’t.
You might be interested in this course that starts in a few days which takes a fresh way of looking at calculus using algebra and avoids the problem of limits. This is an entirely new approach to calculus. www.openlearning.com/courses/algebraic-calculus-one/?cl=1
Bro im taking notes...im gonna show these fools I'm not stupid...im gonna graduate with honors...im gonna be the man...this is worth the torture lol jk..
Thank you sir, this helps a lot to me. Im taking notes and currently finished 2 of your lessons in geometry, and Cal 1. Looking forward for Cal 2 and 3.
Nothing to complaint! The teacher has made a great job explaining using physics concepts, the basic ideas of lomit, derivative and integration! He promised a basic idea and that exactly what he did! Thanks professor!
Got to 19:07. Gonna have to let that much absorb for a while before I continue. But dude, you teach very well. I only had to pause once, and only for a second.
I wanna learn calculus to be smart in one of my most hated subjects, I want to love math and I want to do it for fun like those smart people. It would be so cool to use it in some career too! I love space and stuff like that 😁
Question: I use TI-84 Plus CE. Doing 2nd brings me to a completely different graph at 43:44. Yes I followed every step but idk why mines different where I cant plug in 1.99999 etc
Thank you so much to cheer us on the general knowledge about Calculus. Thanks again for refreshing my memory. I just retired last year and start my youtube channel not long ago. (What, why, how) Quantum existing on our earth. Check it out, please, thanks.
⭐ Table of Contents ⭐
⌨️ (0:05) A Preview of Calculus
⌨️ (37:25) The Limit of a Function.
⌨️ (1:14:30) The Limit Laws
⌨️ (1:51:00) Continuity
⌨️ (2:16:52) The Precise Definition of a Limit
⌨️ (2:45:52) Defining the Derivative
⌨️ (3:10:16) The Derivative as a Function
⌨️ (3:34:28) Differentiation Rules
⌨️ (4:04:05) Derivatives as Rates of Change
⌨️ (4:39:40) Derivatives of Trigonometric Functions
⌨️ (4:55:30) The Chain Rule
⌨️ (5:15:08) Derivatives of Inverse Functions
⌨️ (5:40:18) Implicit Differentiation
⌨️ (6:06:28) Derivatives of Exponential and Logarithmic Functions
⌨️ (6:31:32) Partial Derivatives
⌨️ (6:53:10) Related Rates
⌨️ (7:19:48) Linear Approximations and Differentials
⌨️ (7:42:56) Maxima and Minima
⌨️ (8:01:59) The Mean Value Theorem
⌨️ (8:21:21) Derivatives and the Shape of a Graph
⌨️ (8:45:59) Limits at Infinity and Asymptotes
⌨️ (9:11:35) Applied Optimization Problems
⌨️ (9:42:36) L'Hopital's Rule
⌨️ (10:14:01) Newton's Method
⌨️ (10:35:24) Antiderivatives
⭐ Next Courses⭐
Calculus 2: ua-cam.com/video/h4Vhh7aFmWw/v-deo.html
Calculus 3: ua-cam.com/video/0yebWTXixnE/v-deo.html
hello , did you post the paper version of this explanation?
Sir is this course enough for jee mains????
Thanks you for this course! In this video, you mentioned a book? What's titles of this book?
Sir ,would you please add English caption .Please.
P
I am 72.I studied calculus at the age of 15.Now I still enjoy because everything is made very simple.I hope more advanced courses are made available!
الله يحفظك
ua-cam.com/video/XQIbn27dOjE/v-deo.html 💐💐
@@fairsalzahrani4257 الله يبارك فيكما
Same here. I'm 73. Took (and flunked ) calculus in high school. It probably was equivalent to pre-calculus back then. These lessons make it so much easier and much more fun to learn.
I failed this badly 27 years ago....
Okay. One minute in, and this guy broke it down so much better than any another person I've listened to.
ua-cam.com/video/XQIbn27dOjE/v-deo.html💐💐💐
This is so thoroughly explained that for the first time in my life, I am in my sixties, I am learning Calculus. Thanks a lot!
Topics:
2.1 A Preview of Calculus.
00:00
2.2 The Limit of a Function.
37:25
2.3 The Limit Laws
1:14:30
2.4 Continuity
1:51:00
2.5 The Precise Definition of a Limit
2:16:08
3.1 Defining the Derivative
2:45:52
3.2 The Derivative as a Function
3:10:16
3.3 Differentiation Rules
3:34:28
3.4 Derivatives as Rates of Change
4:04:05
3.5 Derivatives of Trigonometric Functions
4:39:40
3.6 The Chain Rule
4:55:30
3.7 Derivatives of Inverse Functions
5:15:08
3.8 Implicit Differentiation
5:40:18
3.9 Derivatives of Exponential and Logarithmic Functions
6:06:28
3.10 Partial Derivatives
6:31:32
4.1 Related Rates
6:53:10
4.2 Linear Approximations and Differentials
7:19:48
4.3 Maxima and Minima
7:42:56
4.4 The Mean Value Theorem
8:01:59
4.5 Derivatives and the Shape of a Graph
8:21:21
4.6 Limits at Infinity and Asymptotes
8:45:59
4.7 Applied Optimization Problems
9:11:35
4.8 L'Hopital's Rule
9:42:36
4.9 Newton's Method
10:14:01
4.10 Antiderivatives
10:35:24
Enjoy ❤️
Thank you!
You, my friend, are a God.
Love you!
I love you!
Legend
This is actually a particularly excellent course on the topic. It makes a big difference when the speaker doesn't...go off on a tangent...every 30 seconds and leave us all confused.
ua-cam.com/video/XQIbn27dOjE/v-deo.html 💐💐
But he takes 30 secs to write a line, excellent course spoiled by slow speed :(
@@monotrope you can change the playback speed on UA-cam, that’s what I’m doing! I sped it up to almost 2x
Advanced Math has always been difficult for me even though it has always been of great interest to me but your courses makes it very doable. Keep up the good work.
Thank you so much. I have never been into maths, since I am language teacher and translator, but I decided to give it a try with the maths background I have from my school days and I have to say you are making miracles here! It's not that scary and it's not so difficult i mind devoted to communication, arts and music could not grasp. There are not limits for human minds. Most of the times we are ourselves the hindrance with our fears and uncertainties. Professor Leonard is another fantastic teacher whom I recommend here on UA-cam for you to review these same concepts in his videos too. It is always better to get to see it, twice, three times. It is a habit I bring from the language learning.
Professor Leonard is more in-depth but Academic Lesson is a nice quick review yet thorough. Both are highly recommended as you suggest.
You guys are doing great.
May one day people will recognise your work!
Simply great video . Especially for math lovers and self learners. It took me almost 3 days to finish along with preparing notes. But I tell u this is surely worth watching .
How do you thumbs down nearly 11 hours worth of knowledge for zero cost lol, the nerve.
ua-cam.com/video/XQIbn27dOjE/v-deo.html 💐
11h? more like 3 if you remove the hand writing bits and fillers/silences etc.
Idiots and trolls are all over the internet buddy.
I assume it's accidental clicks...
59/3859 is about 1.5%. The dislike button is right next to the like button. It's possible that all of the dislikes are accidental clicks...
Because this has nothing to do with Machine Learning. In fact it isn't only a basic course on high school level calculus. No taylor series, no differential equations. It's a misleading title and anyone interested in ML is wasting time watching this. It's of zero practical use.
People are twisting over the speed of this video. The title states "for beginners" I am a complete novice and have never touched this area of maths before and the pace in my opinion was absolutely perfect, if it was too fast and I couldn't keep up, I would look elsewhere, so just want to say, and it's purely my opinion. This was Fantastic for me
Well said
@@Ketan-kw4xb I think yes IF you already understand: variables, functions of variables, algebra, geometry, & trigonometry, although watching this you may be able to pick up on those from it if you have just a rudimentary knowledge of them.
ua-cam.com/video/XQIbn27dOjE/v-deo.html 💐💐
The THUMBNAIL SAYS ML/DATASCIENCE!
One could also set playback speed to 1.25x or 1.5x, or even skip ahead in the video.
People complaining about things they themselves have the ability to improve is the worst combination of lazy and stupid.
Professor Academic Lesson, thank you for an exceptional video/lecture on Calculus for Beginners full course/Calculus for Machine Learning. The problems and examples are excellent, however there are errors in this UA-cam video. At the 10:41:42 minute mark, when you integrate 1 divided by x dx, you have the ln of x plus C instead of the ln of the absolute value of x plus C. At the 10:45:00 minute mark when you integrate x raised to the n dx, you get x raised to the n plus one divided by n plus one plus C instead of x raised to the n plus one divided by n plus one plus C and n not equal to negative one. At the 10:46:48 minute mark, for examples three and four, please add equal signs after you integrate. Please correct these errors in the video.
College calculus classes are never as clear as this lesson, very good!
Just ordered TI84 calculator Wednesday and received it Friday a day early. Cannot wait to have a refresher watching video and practicing...watching this video. Books are on the way...
ua-cam.com/video/XQIbn27dOjE/v-deo.html 💐💐
Studied calc 1 and calc 2 in university in my early twenties. I’m 54 now and I am still fascinated by this. Just finished watching the first section. Now I’m helping teaching my daughter this.
Btw. I’m a math geek. She isn’t.
You might be interested in this course that starts in a few days which takes a fresh way of looking at calculus using algebra and avoids the problem of limits. This is an entirely new approach to calculus. www.openlearning.com/courses/algebraic-calculus-one/?cl=1
You teach so well. Thank you so much!
Beyond grateful.
Thank you very much for sharing this. This is exactly what I have been interested in learning over the last year. You Are Awesome!!
ua-cam.com/video/XQIbn27dOjE/v-deo.html 💐
Love the course. Never had enough of calculus.
Yep. 71 here
Took it 45 ya and didn't learn it very well, just well enough to pass exams
Go for it!
what a brilliant man! I feel confident at maths since I saw this video.so marvellous!
Bro im taking notes...im gonna show these fools I'm not stupid...im gonna graduate with honors...im gonna be the man...this is worth the torture lol jk..
ua-cam.com/video/XQIbn27dOjE/v-deo.html 💐
that is the spirit!!!!!! POSITIVITY
You dont have to have honors as long in the end you’re gonna become a master of your craft, grades don’t matter.
@@ferumcastrum4097 grades matter for maths bro, this ain't craftsmanship lmao
Any skill we can learn if we persist long enough brother.💐
Anybody over 40 here, just for my moral boost☺️
39
44, still learning
I am 45, aiming to secure a job in the data science field
15😂
29
Thanks so much! I’m a teen and enjoy teaching myself things like this - very useful and well explained video
this video really help me in understanding of calculus. God bless your efforts sir
2:22:30 2:35:20 1:32:53 1:47:34 37:33 1:14:46 1:17:29 1:40:41 2:10:46
Thank you sir, this helps a lot to me. Im taking notes and currently finished 2 of your lessons in geometry, and Cal 1. Looking forward for Cal 2 and 3.
Good explanation sir.
Nothing to complaint! The teacher has made a great job explaining using physics concepts, the basic ideas of lomit, derivative and integration! He promised a basic idea and that exactly what he did! Thanks professor!
It is the best explanation of Calculus that I have watched in UA-cam so far. Thank you very much.
Fantastic vudeo...learn so much in this video.
Finally After 5 years I got to know clearly what is limit
Hlo bro , is this beneficial for college bsc phy
@@AnubhavGG yes bro it is basic calculus needed in every course related to calculus
Thanks need the refresher. Thank you very much!
Please upload Cal 2 as well. Thank you for your hard work. 👍
ua-cam.com/play/PLq94LoYzjZTqgdmxaWW7_WpZQSoPHPQJD.html
Got to 19:07. Gonna have to let that much absorb for a while before I continue. But dude, you teach very well. I only had to pause once, and only for a second.
ua-cam.com/video/XQIbn27dOjE/v-deo.html 💐💐💐
Correct me if I'm wrong, but at 7:56:40 isn't derivative of cosine, -sine and not sin?
This channel is hella crazy🤯
Thank you very much for this! useful in refreshing my knowledge in calculus. :-)
(watching at 1.5x speed)
It's our pleasure
you spent 10h to refresh your knowledge? xd
@@nirre4601 6.66h he was watching at 1.5x speed
@@nirre4601 10 hrs per hr squared.
@@AcademicLesson It would be a pleasure for everyone if you used slides and wrote only the key points faster.
3:29 can u explain how u draw that graph?
It will be very helpful if you added english subtitle!
Right?
trot
Great Job.Thanks for sharing it.
An absolute angel
Thank you..great job..mate👍🙏
Thank you making it so simple and easy to understand with all the graph representation
Thanks to this video it helped me a lot
very great effort and very useful to us.. good.. highly appreciated.....
Thank you, for this videa and channel. Everything very well made.
Good luck!
god bless your soul buddy
thank u for putting in work to create these vids
ua-cam.com/video/XQIbn27dOjE/v-deo.html 💐💐
10 hours ago i was a puppy now i am a dog who knows more calculus than my master.
5:07:17 (3x^2-5x)
An outstanding work. Which book are you using? Thanks so much for your informative lectures.
I wanna learn calculus to be smart in one of my most hated subjects, I want to love math and I want to do it for fun like those smart people. It would be so cool to use it in some career too! I love space and stuff like that 😁
21:09
45:40
1:14:30
This is even more better than reading calculus books. Thank u so much for this.😊
You are doing a great job bro,
So the prerequisite for this calculus is algebra? Is that correct?
Algebra and precalculus.
You are just awesome.
this is soo good thankyou
I think at -2:55:51 , derivative of cosx is - negative sinx
5:00 how did we decide the rate? How it could be slow or quick
Great work
1:45 is there also Calc 2 now online to learn like the next term ? thank you
Yesss please!
Bro just go to tylar wallace main channle you can get all videos of calculus including calc 2
@@rehanansari6086 Thank you!
thanks master
This is great!
This is calculus 1 and I appreciate this
Hello and thanks for the video. Can you tell me where i can find a relevant pdf for practise problems and solutions?
It’s a huge cut at 1:57:12. I wanted to learn about infinite discontinuity
Good content. Love from Sri Lanka.
ua-cam.com/video/XQIbn27dOjE/v-deo.html 💐💐
Thanks for the thorough explanation 🌷🌷
Is this content based on a certain book? Where can I get more problems to practice?
Tyler wallace💙
Thank you very much!
Can you do pre calc please? Love your vids
very good explanation, please try to upload videos on abstract algebra
Thank you so much vedio is very informative
Nice
Great lessons
ua-cam.com/video/XQIbn27dOjE/v-deo.html 💐💐💐
Thank you so much Tyler Wallace sir for this 😃😃
Thanks! At 7:56:38 why is the derivative of cos just sin and not negative sin?
can you please share this presentation with us. please.. & thanks for your great effort to enplane all topic in one video.
ua-cam.com/video/XQIbn27dOjE/v-deo.html 💐💐
at 2:15:42, What does it mean for 0 to be a 'solution' ? Why is zero a solution because 1.64 and 7.88 exist?????
What is the software you are using? Whiteboard effects
Thanks GL
This absolutely helps me thank you ❤️
Any pre-requisite to learn this?
This is crazy 10 hours
Excellent course. Which book do you follow? I would like to do some exercise from that . Please let me know
Hi, I would like to know what textbook you would recommend for this course? Thank you.
where can we find the homework they are doing? because that would be an awesome addition to this amazing guide
this svideo worth $9999 this is the most valuable video in youtube
ua-cam.com/video/XQIbn27dOjE/v-deo.html 💐💐
This is nice
This is the first part of calculus, waiting for the integral calc part
ua-cam.com/video/XQIbn27dOjE/v-deo.html 💐💐
Thanks for sharing...
ua-cam.com/video/XQIbn27dOjE/v-deo.html 💐💐
Suscribed!
Where can I get the book you are referring for practice?
Question: I use TI-84 Plus CE. Doing 2nd brings me to a completely different graph at 43:44. Yes I followed every step but idk why mines different where I cant plug in 1.99999 etc
Professor can you tell me what is the application of epsilon delta prove
Thank you so much to cheer us on the general knowledge about Calculus. Thanks again for refreshing my memory. I just retired last year and start my youtube channel not long ago. (What, why, how) Quantum existing on our earth. Check it out, please, thanks.
Where can I find "the book"? I wanna buy it.
Thanks