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

[@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.💐

[@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.

[@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

[@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....

[@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.

[@mazzik9293]

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

[@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💐💐💐

[@lazymarco3782]

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

[@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

[@ronaldlavender1137]

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

[@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!

[@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.

[@Cx23499]

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

[@samuelofili6763]

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

[@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

[@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.

[@aeligos]

So the prerequisite for this calculus is algebra? Is that correct?

[@btvdhk]

It will be very helpful if you added english subtitle!

[@vinodkumarchauhan327]

Right?

[@ShokhrukhUrinov]

I agree with you

[@kjtin8888]

trot

[@estheryang6980]

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

[@RicardoMartinez-jy5lo]

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

[@joshuamcnicol4820]

god bless your soul buddy

[@ryanchiang9587]

function, limit, derivative, integral, foundation,...

[@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 💐

[@wolfsschanze7061]

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

[@raj4624]

kzbin.info/aero/PLq94LoYzjZTqgdmxaWW7_WpZQSoPHPQJD

[@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

[@DrLumpy]

@@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.

[@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

[@Cahangir]

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

[@collectionaaj9324]

I learn this at age 10 and the thing is why Is it 10 hours😭

[@அட்]

😅

[@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

[@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 😁

[@monotrope]

While I like videos like this, the slow handwriting and pausing in between are annoying. This needs some major editing to bring down the 11hrs to 3-4 hrs of actual useful content. While in college they have no option but to write on the blackboard, they do it faster. Look into Khan Academy/Neso Academy, they write much faster. No point in wasting time watching you write out every alphabet. Use slides and write on them when explaining key points. Let the basic points be typed out. Saves a lot of time for the learner. Edit: This is a very very good explanation, just too slow.

[@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 💐💐

[@OwlyIntj]

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

[@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.

[@ionageman]

I wonder if I’ll understand any of this . Oh god , I’m already bored ... why does he have to slow write his statements . Guess I’ll stay ignorant

[@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.

[@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

[@lonelypotato9967]

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

[@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 💐💐💐

[@PerfectGuyHere]

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?????

[@omennemo8844]

I know nothing about calculus. I thought this was for beginners. Should I study something else before I try to understand this. I couldn't understand anything that was said. It was way over my head. When I finished high school all I had was basic math. They never taught algebra. I had never heard of it. I did hear of a new math. I have always wondered why they didn't teach me that. The nuns skipped me from grade 6 to the 9. I never knew why.

[@georgesadler7830]

Please look at the lectures from Algebra, Calculus ,Differential Equations and Statistics by Professor Leonard and Professor V.

[@abdetaedea]

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

[@__ace__6975]

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

[@ShakespeareCafe]

Use Notes. There is no need to write out everything. It's painful to watch.

[@onlythewise1]

I studied it, its Bunch of memorizing things ,don't take much brains, reel brains makes its own advanced thoughts,teachers don't do much Einstein did his work on his own and way above parroting teachers

[@anjaneyasharma322]

The formulA method is still being for trigo calculus. It is of no use. Neither the list of integral nor derivatives is if any use for trigo functions It gives wrong answers. So students are advised to follow the diagram ...ethood. This example is sufficient to show the method followed is wrong. Integrate sinx from 0 to 2pi 0 to 4 pi 0 to 6pi 0 to 8 pi. Check the answers. Find the mistake. These functions represent areas of different sizes but by formula method you get the sa.e size. Tell your to change the method.

[@zyzzmotivation5382]

This is crazy 10 hours

[@TMayai]

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

[@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.

[@abdullahalmahfuz6700]

It would be better, if you put the background black.

[@brucemon4525]

1.5x speed is ok

[@Posesso]

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

[@ahmedabbas3998]

Can anyone ones tell me which book of calculus he is referring to for more practice please?

[@projectdarksea2472]

Professor can you tell me what is the application of epsilon delta prove

[@QuangNguyen-oo7dp]

Love the course. Never had enough of calculus.

[@yeet9703]

OH MY GOD ON 2X SPEED HE SOUNDS EXACTLY LIKE BEN SHAPIRO WTF

[@mash6467]

OMG YOUR RIGHT

[@kjtin8888]

Whuut?HAHAHAHAHAHAHHAHAHA

[@neeleshwarpandey4896]

Can someone please tell me which book is he referring to solve exercises and stuff??

[@gayekaya1655]

at 8.01.17 why are they just local values? shouldn't they suppose to be also absolut max and min values? aren't they the same?

[@beoptimistic5853]

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

[@PettyRita-o3g]

Rodriguez David Jackson Jennifer Garcia Michelle

[@loveskey]

thanks master

[@ssccglaspirants8365]

Good explanation sir.

[@GHM1122]

Where can I find "the book"? I wanna buy it.

[@Sonny2009]

Can you imagine if Newton came up with new version of calculus each 6 months.. The way these guys come up with new version of JavaScript Library each 6 months? Thanks to the over rated nerds from I don't know! People would be like wait 6 more months before we have new version of Calculus! My point is Education or version of some product should be as constant as good. New version kind of raises red flag to me. So what does it mean version 1 was Bull Crap??

[@toriking2635]

Why isn't the Vavg equation ( the final point in time - the initial point in time)? The other equations have all followed the( last point - the first point)?

[@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.

[@Bogdanbmm]

1:45 is there also Calc 2 now online to learn like the next term ? thank you

[@Phara3on]

Yesss please!

[@rehanansari6086]

Bro just go to tylar wallace main channle you can get all videos of calculus including calc 2

[@meghamajumdar49]

@@rehanansari6086 Thank you!

[@highlander2319]

I finished, this time I will succeed. Next week will be my triumph, these notes will be my weapon.

[@farhadjoya7882]

The lesson is great but unfortunately your voice is annoying and I think something is trapped in your throat. You should throw away anything from your throat first.

[@ThePsychoBone]

I watched this video and I now run NASA

[@kaseybui158]

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

[@chrisplusplus6232]

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

[@beoptimistic5853]

kzbin.info/www/bejne/joKsk6FobMmCoKc 💐💐

[@i.Explorer]

It has been 25 years and still struggling to understand calculus, unfortunately 🙁🙁

[@CottonSean-o3m]

Rodriguez Scott Martin Ruth Hernandez Susan

[@ExploreBC79]

Great Job.Thanks for sharing it.

[@FieldBonnie-p9q]

Young Kenneth Harris Ronald Lewis Michael

[@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 💐💐

[@NehemiahWendell-u1y]

Jackson Deborah Allen Amy Young William

[@michaelb866]

Ok, if it takes over a minute to write 3 statements/questions it's gonna be a long day.

[@planomathandscience]

This is for Machine learning... how? Because you wrote it in the title?

[@DoddBrady-b8o]

Lewis Sarah Gonzalez Dorothy Perez Jose

[@ChurchHorace-m5l]

Lewis Jessica Young Anna Rodriguez Daniel

[@RayoBeatz]

instructions not clear, created black hole from home made collidor.

[@SherwoodBurke-g9s]

Miller Anna Gonzalez Charles Davis John

[@jaceyjacejace]

An absolute angel

[@clloydmathison995]

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

[@audreydaleski1067]

Too easy.

[@sharmaabhi100]

Could u plz comment if f(x)=|x| is continuous at x=0?

[@kelvinchan2286]

yes, it is cont.

[@elenajasminedajacost702]

OMG, THE FLEM IN YOUR THROAT IS SO ANNOYING CANT CONCENTRATE !!!!

[@itsme_chase]

The weak ink methodically sneeze because richard presumably continue besides a rustic dinosaur. yummy, hungry coast

[@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.

[@zaheerjaffery6174]

Why waste so much time in "writing" your comments?

[@АлександрРусаков-в4с]

Hall Michelle Anderson Patricia Moore Anthony

[@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.

[@mikekadir9252]

Thank you..great job..mate👍🙏

[@gabi-dh9eo]

Can you do pre calc please? Love your vids

[@RolandElvira-l4y]

Harris Angela Harris Frank Gonzalez Anthony

[@shadmankhan1969]

thank u for putting in work to create these vids

[@beoptimistic5853]

kzbin.info/www/bejne/joKsk6FobMmCoKc 💐💐

[@JoyceElroy-z9w]

Perez Anthony Lee Patricia Lopez Helen