Calculus for Beginners full course | Calculus for Machine learning

Calculus, originally called infinitesimal calculus or "the calculus of infinitesimals", is the mathematical study of continuous change, in the same way that geometry is the study of shape and algebra is the study of generalizations of arithmetic operations. This course is for those who want to learn #calculus in depth as well as for machine learning enthusiasts. You will be learning most of the crucial concepts of calculus with comprehensive explanation.
⭐ 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
⭐ Credit ⭐
This great course was developed by : Tyler Wallace
Licensed under Creative Commons
Visit his KZbin channel and learn more: / wallacemath
⭐ Join our community ⭐
Join our FB Group: / cslesson
Like our FB Page: / cslesson
Website:

[@AcademicLesson]

⭐ 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: kzbin.info/www/bejne/nmW5mZttlqugjdk Calculus 3: kzbin.info/www/bejne/ZqrIk4qKjc6rpKc

[@andreaperini4696]

hello , did you post the paper version of this explanation?

[@kashyapedupoint5318]

Sir is this course enough for jee mains????

[@nguyenkimquang0201]

Thanks you for this course! In this video, you mentioned a book? What's titles of this book?

[@rifatahmed9004]

Sir ,would you please add English caption .Please.

[@verlietyrell5572]

P

[@isahbimohamad]

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!

[@fairsalzahrani4257]

الله يحفظك

[@beoptimistic5853]

kzbin.info/www/bejne/joKsk6FobMmCoKc 💐💐

[@Ali-bd2yx]

@@fairsalzahrani4257 الله يبارك فيكما

[@kathydavis4007]

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.

[@neelgovender5932]

I failed this badly 27 years ago....

[@Phara3on]

Okay. One minute in, and this guy broke it down so much better than any another person I've listened to.

[@beoptimistic5853]

kzbin.info/www/bejne/joKsk6FobMmCoKc💐💐💐

[@cj4108]

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.

[@beoptimistic5853]

kzbin.info/www/bejne/joKsk6FobMmCoKc 💐💐

[@monotrope]

But he takes 30 secs to write a line, excellent course spoiled by slow speed :(

[@bittersweet2472]

@@monotrope you can change the playback speed on KZbin, that’s what I’m doing! I sped it up to almost 2x

[@RicardoMartinez-oh9sq]

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!

[@emoutraspalavras-marloncou4459]

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 KZbin 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.

[@musashi4856]

Professor Leonard is more in-depth but Academic Lesson is a nice quick review yet thorough. Both are highly recommended as you suggest.

[@peterpalumbo1963]

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.

[@alenkurian7884]

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 .

[@jobhunk]

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

[@dushyantsingh2067]

Well said

[@dannichols6261]

@@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.

[@beoptimistic5853]

kzbin.info/www/bejne/joKsk6FobMmCoKc 💐💐

[@monotrope]

The THUMBNAIL SAYS ML/DATASCIENCE!

[@NoActuallyGo-KCUF-Yourself]

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.

[@lordstevenson9619]

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 ❤️

[@antoinecharlesdegaulle580]

Thank you!

[@kyledelaney8709]

You, my friend, are a God.

[@ritzzzblitzz6833]

Love you!

[@iarefightar8032]

I love you!

[@scrubman4234]

Legend

[@georgesadler7830]

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 KZbin 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.

[@tanyaparker-callsign.kk7ic238]

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...

[@beoptimistic5853]

kzbin.info/www/bejne/joKsk6FobMmCoKc 💐💐

[@jcasey2091]

How do you thumbs down nearly 11 hours worth of knowledge for zero cost lol, the nerve.

[@beoptimistic5853]

kzbin.info/www/bejne/joKsk6FobMmCoKc 💐

[@peterh7575]

11h? more like 3 if you remove the hand writing bits and fillers/silences etc.

[@felicytatomaszewska]

Idiots and trolls are all over the internet buddy.

[@Paraselene_Tao]

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...

[@andychow5509]

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.

[@ronaldlavender1137]

Yep. 71 here Took it 45 ya and didn't learn it very well, just well enough to pass exams Go for it!

[@Cx23499]

You guys are doing great. May one day people will recognise your work!

[@fastwalker128]

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.

[@sharonjuniorchess]

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

[@RicardoMartinez-jy5lo]

College calculus classes are never as clear as this lesson, very good!

[@robertorescigno9580]

Thank you very much for sharing this. This is exactly what I have been interested in learning over the last year. You Are Awesome!!

[@beoptimistic5853]

kzbin.info/www/bejne/joKsk6FobMmCoKc 💐

[@OwlyIntj]

Thanks so much! I’m a teen and enjoy teaching myself things like this - very useful and well explained video

[@samuelofili6763]

this video really help me in understanding of calculus. God bless your efforts sir

[@estheryang6980]

You teach so well. Thank you so much! Beyond grateful.

[@ezazq9876]

Anybody over 40 here, just for my moral boost☺️

[@alexlveperez7210]

39

[@muhamadmaqsudhossain112]

44, still learning

[@donnelly5757]

I am 45, aiming to secure a job in the data science field

[@anantapadmanabhmyatagiri]

15😂

[@martinsz441]

29

[@monroyvhonadrian5815]

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.

[@abdetaedea]

what a brilliant man! I feel confident at maths since I saw this video.so marvellous!

[@alfredoillescas4353]

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!

[@QuangNguyen-oo7dp]

Love the course. Never had enough of calculus.

[@aman.iitmadras]

Finally After 5 years I got to know clearly what is limit

[@AnubhavGG]

Hlo bro , is this beneficial for college bsc phy

[@aman.iitmadras]

@@AnubhavGG yes bro it is basic calculus needed in every course related to calculus

[@rgarciap7]

It is the best explanation of Calculus that I have watched in KZbin so far. Thank you very much.

[@dancash5353]

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..

[@beoptimistic5853]

kzbin.info/www/bejne/joKsk6FobMmCoKc 💐

[@maitumeloteemane9593]

that is the spirit!!!!!! POSITIVITY

[@ferumcastrum4097]

You dont have to have honors as long in the end you’re gonna become a master of your craft, grades don’t matter.

[@aytj2073]

@@ferumcastrum4097 grades matter for maths bro, this ain't craftsmanship lmao

[@rheumaarvind5636]

Any skill we can learn if we persist long enough brother.💐

[@wolfsschanze7061]

Please upload Cal 2 as well. Thank you for your hard work. 👍

[@raj4624]

kzbin.info/aero/PLq94LoYzjZTqgdmxaWW7_WpZQSoPHPQJD

[@lujhanquinonez3816]

This is even more better than reading calculus books. Thank u so much for this.😊

[@TheDanm22]

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.

[@beoptimistic5853]

kzbin.info/www/bejne/joKsk6FobMmCoKc 💐💐💐

[@evilshep1581]

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

[@justcuriouseye]

Thank you very much for this! useful in refreshing my knowledge in calculus. :-) (watching at 1.5x speed)

[@AcademicLesson]

It's our pleasure

[@nirre4601]

you spent 10h to refresh your knowledge? xd

[@moneyharry]

@@nirre4601 6.66h he was watching at 1.5x speed

[@DrLumpyDMus]

@@nirre4601 10 hrs per hr squared.

[@monotrope]

@@AcademicLesson It would be a pleasure for everyone if you used slides and wrote only the key points faster.

[@nawazshahnu]

Thank you making it so simple and easy to understand with all the graph representation

[@nackyding]

Thanks need the refresher. Thank you very much!

[@clloydmathison995]

Fantastic vudeo...learn so much in this video.

[@PrinceJes]

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 😁

[@ssccglaspirants8365]

Good explanation sir.

[@jaceyjacejace]

An absolute angel

[@mx-7i-0n5]

This is calculus 1 and I appreciate this

[@jarifreza]

21:09 45:40 1:14:30

[@btvdhk]

It will be very helpful if you added english subtitle!

[@vinodkumarchauhan327]

Right?

[@kjtin8888]

trot

[@mrz.x6810]

This channel is hella crazy🤯

[@muahmuah4135]

Thanks to this video it helped me a lot

[@shadmankhan1969]

thank u for putting in work to create these vids

[@beoptimistic5853]

kzbin.info/www/bejne/joKsk6FobMmCoKc 💐💐

[@Posesso]

Thank you, for this videa and channel. Everything very well made. Good luck!

[@Soccer4u0090]

This is crazy 10 hours

[@ExploreBC79]

Great Job.Thanks for sharing it.

[@mikekadir9252]

Thank you..great job..mate👍🙏

[@sythainthisane]

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.

[@chrisplusplus6232]

This is the first part of calculus, waiting for the integral calc part

[@beoptimistic5853]

kzbin.info/www/bejne/joKsk6FobMmCoKc 💐💐

[@mazzik9293]

10 hours ago i was a puppy now i am a dog who knows more calculus than my master.

[@joshuamcnicol4820]

god bless your soul buddy

[@mathematicslimited3547]

A great work. I am from India. In 14th century an institution in Kerala Called School of Mathematics & Astronomy had the Founder Acharya Shri Madhav Ji His book in Sanskrit written in 14th century now available in English ( Ganita Yukti Bhasa) describes.

[@WritersDigest-b8f]

Which one of the KZbin cover harder ε δ, Ν ε, δ Μ & Ν Μ limit proofs for all kind of functions & rational functions. Thank u I went over the proofs, it was awesome.

[@__ace__6975]

It’s a huge cut at 1:57:12. I wanted to learn about infinite discontinuity

[@johnbatchler8551]

Remember the rule both numbers has to be 5x+10 to be able to do it look up factoring

[@lazymarco3782]

Correct me if I'm wrong, but at 7:56:40 isn't derivative of cosine, -sine and not sin?

[@smartscience5305]

Hello I am 12 years old and I finished quantum physics and now I want to finish calculus and topology, and this video is realllllllyyyyy great!!!

[@AbhilashKorraprolu]

awesome, would you like to help me build a red and gold metal suit that has boosters to help fly, has weapons and a super-advanced AI assistant in it?

[@lightworker4512]

Hello, i am 6 years old and appreciate this basic review.

[@smartscience5305]

@@AbhilashKorraprolu you can use 25 L of Hydrogen peroxide and a bottle of Nitrogen 😀😁

[@ryanbrazeal8901]

I'm 1

[@sarahmozart4620]

What did you use, and well done that is amazing!

[@giromcannedelima5670]

5:07:17 (3x^2-5x)

[@kaluvanhariharan4256]

very great effort and very useful to us.. good.. highly appreciated.....

[@ThePsychoBone]

I watched this video and I now run NASA

[@praloysarker7639]

You are just awesome.

[@harlbertmayerh7523]

this svideo worth $9999 this is the most valuable video in youtube

[@beoptimistic5853]

kzbin.info/www/bejne/joKsk6FobMmCoKc 💐💐

[@junigearx7452]

This absolutely helps me thank you ❤️

[@arslanramzan8269]

Thank you so much vedio is very informative

[@9356079]

You are doing a great job bro,

[@tnt_gmd263]

ime in 3 grade and now i lerned cauculas and i understand it

[@shreyashi9397]

Thank you so much Tyler Wallace sir for this 😃😃

[@serajeemdtoriqularman5955]

can you please share this presentation with us. please.. & thanks for your great effort to enplane all topic in one video.

[@beoptimistic5853]

kzbin.info/www/bejne/joKsk6FobMmCoKc 💐💐

[@MarciaArleneDebra]

This is a good lesson, but the problem may be absent foundation for those who find it confusing.

[@hockng5610]

Easy stuff. If you are maths intelligent, you can teach yourself. I taught myself by reading a book called "Calculus for Practical Man" at 15 so what is the big deal? Then I starting reading more advanced text. Then I graduated to Apostle's "Calculus" volumes I and II, all on my own before HS grad. In the Far East, they make you do that kind of thing too. The American system pampers its students.

[@dunemae]

If you're so smart then cure cancer genius

[@whiteboard9015]

Good content. Love from Sri Lanka.

[@beoptimistic5853]

kzbin.info/www/bejne/joKsk6FobMmCoKc 💐💐

[@kaseybui158]

I think at -2:55:51 , derivative of cosx is - negative sinx

[@lucielpires705]

Consider the region R delimited by the curve y = C− x^2 and the x axis. Use integration to find the value of C > 0 so that the volume of the solid obtained by rotating R about the x axis is 64√2/15π Note: Plane sections known to the x axis are circles. Would you help me?

[@syedmohammadabdullah]

this is soo good thankyou

[@TMayai]

An outstanding work. Which book are you using? Thanks so much for your informative lectures.

[@loveskey]

thanks master

[@kennethwilliams4169]

This is great!

[@mikanikz3195]

Thank you very much!

[@aseprohmandar6812]

Kalculus for data science!

[@deepakshetty9233]

very good explanation, please try to upload videos on abstract algebra

[@josophinekhwambala1103]

Am learning more

[@phemmy2008]

Great work

[@cerptv913]

Great lessons

[@beoptimistic5853]

kzbin.info/www/bejne/joKsk6FobMmCoKc 💐💐💐

[@douglasrogers3918]

Everyone cracks calculus at different rates. If I had been taught calculus like this I would have gone to sleep half way through and given up. Calculus is simple - don't complicate it with so much skirting round the equations - two pomts at X and X+deltaX - this just wors out so easy.

[@musical_lolu4811]

Well go elsewhere.

[@Kim-en9gp]

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

[@oedhelsetren]

If you're having issues with the speed and pacing, adjust the payback speed to 1.25. I found it impossible to follow along without getting bored because they were moving so slowly until I sped it up.

[@Cahangir]

Hello and thanks for the video. Can you tell me where i can find a relevant pdf for practise problems and solutions?

[@shawnfernandez1077]

This helped me a lot

[@beoptimistic5853]

kzbin.info/www/bejne/joKsk6FobMmCoKc 💐💐💐

[@TheGamingBun]

Better than my actual teacher

[@beoptimistic5853]

kzbin.info/www/bejne/joKsk6FobMmCoKc 💐💐💐

[@josophinekhwambala1103]

Thanks

[@lonelypotato9967]

3:29 can u explain how u draw that graph?

[@highland7426]

Hi, I would like to know what textbook you would recommend for this course? Thank you.

[@ajn8110]

I enjoy maths a lot and have done maths for a long time. Oh my gosh, this is the best maths lecture I have heard and seen so far. Very very clear and simple made. Thanks. Please keep up the good work. I’m hoping you can make other topics as well. Thanks

[@gabi-dh9eo]

Can you do pre calc please? Love your vids

[@raj4624]

Tyler wallace💙

[@aac487]

Tip use playback speed

[@darya5160]

Thanks for the thorough explanation 🌷🌷 Is this content based on a certain book? Where can I get more problems to practice?