Introduction to Calculus (2 of 2: First Principles)

[@poojithabejugama7203]

that class does not know how lucky they are to have a teacher like that!

[@ChronicalV]

they probably do because everyone whose done maths in australia knows who eddie woo is

[@asadhussain2293]

Actually they know his value

[@erfho8y]

@@ChronicalV Everybody in Australia: "M I S T E R W O O ! ! !" The rest of the world: "mister who?!"

[@sylvainmichaud2262]

The question is not so much if they know how "lucky" they are, but more if they appreciate it !

[@erfho8y]

@@sylvainmichaud2262 But don't have to know of something, in order to be able to appreciate it...?

[@mattburtless5783]

3:45 "Sometimes you'll see it called 'delta X', we'll talk about Y in a second." *chuckles*

[@deusninja8785]

Smooth

[@Boitumelo984]

🤣🤣🤣🤣

[@eshaanrawal1167]

he meant why -_-

[@mlgamings6110]

@@eshaanrawal1167 exactly

[@Ken.-]

This is how math can become confusing when you're trying to learn. You misunderstand or mishear one little thing and the rest of what you're learning becomes a total mystery, and you decide that you must be just too dumb to understand it.

[@burnerjack01]

If I had this guy as a teacher, my life would have been vastly different.

[@sebastiandel1980]

That profile pic made this comment 10 times funnier

[@saminchowdhury7995]

so true mine too

[@gheorghegeorgescu7846]

Telling from that profile pic it would have

[@debbiepolanco1527]

Frr

[@karim12223]

Never too late that’s why their is KZbin

[@wissamali3136]

Thank you for posting such a beautiful brilliant video about how calculus was invented. I think that every maths instructor should provide an explanation to what was the original problem that the mathematician was trying to solve and how he or she came up with the mathematics. It makes the subject so fascinating and makes the student more engaged, and it shows how it relates to the real world.

[@XxPlayMakerxX131]

Wissam Ali Will from my experience with students, I believe that the average student doesn’t “care” about how we came up with it. They just don’t want to because they believe it is unnecessary and a time waster and that it will not help them in there adult life. They just want to memories a law and substitute the values then continue with their lives.

[@abcdxx1059]

XxPlayMakerxX131 yes I know but some Want to know

[@chrisbradley1192]

X131 I disagree. When I was in school my teacher's approach to this was "This is how it is, just accept it." She then threw a whole bunch of formulae at us with the result that it all just went in one ear and out the other. Had I been armed with an introduction like this it would have meant so much more to me.

[@koko5498]

@@XxPlayMakerxX131 Mainly thats how the educational system is built, in order to get good grades you need to memorize and mindlessly substitute some stuff.. The system doesn't teach you how to think , and try to work it out yourself.

[@sarahbiebah]

@@XxPlayMakerxX131 Allow me to disagree. I believe that anything that gets abstracted out of context becomes harder, if not impossible, to derive any usefulness out of it or, in other words, to use it in real life, which is the whole point of learning Math, of course. We would like students to learn Math and keep it as a toolkit to solve all kinds of problems, but you can't just force someone to take a screwdriver and say "Just keep it with you, you'll need it later." If you don't know what a screwdriver does, why we need it, what kinds of problems it can solve and 'why' and 'when' we can face these problems sometimes, it's very unlikely that you're going to get a screwdriver. And if you do own one, it's unlikely you'll ever use it. You'll forever view it as a vague, strange thing that you don't comprehend and therefore probably do not need. Since human beings are good at dismissing what they can't comprehend. My point is, linking Math to concrete scenarios, concrete figures, stories, makes it accessible. It gives it a context and hence makes it easier to digest and learn and embrace. For it's been proven that humans learn better when they put things in context; that's how you learn new vocab in foreign languages, and it's also one of the memory techniques that memory champions use to remember lists - they put them in the context of a room, or a story, or they name the numbers with words they are familiar with. It is easy for the brain to discard a formula that consists of foreign symbols and numbers, but it is harder for it to dismiss information that has roots, that is linked with other information. It becomes a great big thing inside the mind, like a body of knowledge and a brick wall is always stronger than a brick. And there's a lot of philosophy around how we learn and remember better through stories and through context. Bottom line is, I understand that there are a lot of students who just want to learn formulae, do the test and leave. But that's a negative attitude and it's a "reaction" of the great importance we have come to put on tests and grades, not a natural inclination towards abstraction. Because I don't believe that's a thing.

[@piesho]

I took "The Calculus" many years ago and I was never told this in class. We were solving problems like robots: Just following the rules of the game. Thanks for this.

[@bruno84]

Precisely!

[@earlnoli]

up until now i don't know how I somehow got a okay grade on Calculus. Never understood it. I blame my teachers, now, having watched this at 40 when my brain cells are that good as it used to - explanation makes sense. lol

[@christopherrousseau1173]

My calculus teacher talked like Kermit the Frog monotone and lectured all class. I just learned by reading the books and doing the homework. Classic time was once I argued over how to solve a problem and doing it my way got the answer the book said was the correct answer to the problem, but doing it the way the teacher told me to do it never could get the right answer.....

[@twoweeksclarinet6399]

It is always good to know why as well as what there you can adapt to problems that aren’t for your what, good for you

[@jacobmarley2417]

@Jim Jam Thats my saying! Patent Pending!

[@benmacdonald4702]

Wish his students listened a bit more they always seem to be talking over him. Honestly he's got such elegant explanations of these concepts it's amazing.

[@louf7178]

Ben MacDonald Yes.

[@dvfantail]

Well, we're listening.

[@3227998]

Instead, the whole4 world listening thanks to #youtube

[@samk6042]

Ben MacDonald ikr especially the clueless chic

[@hughrobertson5242]

Really? It sounds like they are reacting to what he is saying and that is engagement.

[@mkmuaqibizzuddin6885]

I love when teachers start a story to bring students into the topic and end them with tying all the knots back together. Always amazes me and make me awe all the time

[@kumarupendra]

kzbin.info/www/bejne/r5C7qIShmM2qqKc

[@erikmedina09]

You're very good at motivating the math, and you bring a lot of energy to the classroom! Excellent!

[@brendandrury2177]

This Mr. Woo is terrific!

[@markconley5730]

not your average classroom. he never ever has to stop and reprimand any student. i can think of two of my ex-maths teachers who i would rate as good a teacher. what mr woo did is make videos of his lessons freely available. that is what i thank mr woo for, mark

[@BM-jy6cb]

This is how maths should be taught. I try and teach my kid maths like this - think of a problem and explain how and why the steps came about to solve it. It astounds me how many teachers - and books - are still happy just to teach formulas to be regurgitated in exams with no "aha" moment in sight. My pet hate is the phrase "move it to the other side and change the sign" NO! I was obsessive about not allowing my son to use this phrase at primary school.

[@coenvandijk764]

is there a better way to think about it than "move it to the other side and change the sign ". i genuinely want to know

[@rohan_dasgupta_]

@@coenvandijk764 add or take away something from both sides e.g. x+5=y -5 on both sides, they are equal so taking away 5 means they will still be equal x=y-5

[@aguyontheinternet8436]

@@coenvandijk764 His point is that if you teach to just move it to the other side BEFORE you learnt that what you are _actually_ doing is subtracting that number from both sides and cancelling out, and if you do that with everything in math, then OF COURSE math is going to look like unintelligible gibberish that you have to memorize and parrot back to your teacher, because you haven't been taught to THINK

[@fariselkady]

That has personally been an issue of mine because I'd forget like "oh well if it's multiplication what do we change oh no I'm done for" until I learnt what *actually* happens it all finally made sense and I stopped thinking about it as a bunch of rules "cuz that's just what we do" and more as a way of solving a problem by changing some things to make it simpler which is actually what maths is all about: problem solving.

[@chrismusix5669]

Calculus is the science of 'close enough'!

[@jptavas]

The precise science of "close enough!" :)

[@quack3891]

@@jptavas the science of "you can't touch this"

[@agrimpuriya2585]

Perfect just perfect you defined it properly.

[@LegendaryMusicofAllTimes20]

the exact science of 'close enough!'

[@Radeo]

Numbers themselves are "close enough", as is human perception

[@ShoeibShargo]

For the first time, I kinda felt sad when the bell rang.

[@samuelatienzo4627]

6:24 “everyone is AHHHing and i don’t know what’s happening” 😂 classic

[@ashishbhaumik7305]

Ikr makes me feel so dumb and stupid. LoL.... Now, at least I have company. :-P Cheers to that. LoL

[@destinyovbiebo8988]

Y’all could reach if y’all want to know

[@chrishelbling3879]

I think, some of the kids are seeing that h has to go to 0, and knowing you can't divide by 0.

[@douba_plusa]

2 days before my AP Calculus exam and this is the first time I think I really understand limits and why the notation dy/dx is used. Thank you Mr. Woo

[@amateruss]

@Fintan111 He almost passed the exam because that's his limit.

[@zigzagnemesist5074]

@@amateruss underrated comment

[@lucasbeebe6815]

Every single student should watch these two videos before learning Calculus. I have to say that this is one of the greatest educational lectures I have ever seen. I don't say that lightly

[@owen7185]

Theres no need to heap praises on you, you've already deservedly been recognised for your awesome achievements. Listening to the way you explain the philosophy of calculus and it's history and then showing the students how its related to geometry is inspiring. There's a passion, you're the Jonathon Thurston of mathematics education in modern day Australia and my children will be learning from your videos outside of school time. I believe that the government should consult you in the curriculum for school kids and how teachers can bring students together like you do.

[@vladb420]

the jt of mathematics!

[@muntjunk-plk3171]

More like the Andrew Johns of maths champ #blues

[@wundurra24]

Superb comment and I agree 100%. If any, I'd go a little further, Eddie Woo is the Don Bradman, Usain Bolt and Simone Biles of mathematics education.

[@WarriorPocky]

Thank you so much, from the bottom of my heart. I am currently a nurse, forced into this career by well-meaning parents. But for the longest time, I knew I wanted to do something else with my life. I wasn’t only good at highschool Maths, I *enjoyed* them. To the point that I felt Maths was a way to put “feelings into words.” Now I have quit my job, took an ALEKS placement test, and had been self-teaching myself in preparation to go back to college. But I hit a slump- “Why am I learning all of these technical things? Do I expect to be just taught to memorize formulas and brute force numbers into them? All of this feel pointless... etc.” And then I stumbled onto your content. Thank you for showing us the practical, magical, fun, challenging, and somewhat intuitive, side of Math. I have a newfound inspiration to keep studying! Thanks again.

[@frunomaol5069]

You expressed yourself well. I hope the change worked out for you.

[@johnhiggins1453]

I just finished Calc III and I still learned things from this video. Good stuff.

[@jyotishmankalita.1754]

😢I was learning these things when in 8th standard ..not this but the advance concepts like L-Hospital, Infinite series... Yep I'm an Indian

[@avatar098]

@@jyotishmankalita.1754 ok

[@Jayanth_Hariharan]

@@jyotishmankalita.1754 bruv you spelled it wrong, its L'Hopital

[@mythicaldragon2260]

@@Jayanth_Hariharan brev ima send you to the l’hospital

[@manavsethi2054]

hey please teach my maths teacher how to teach

[@dingus2332]

are you stupid or are you stupid?

[@manavsethi2054]

hey hey if u dont know him u must not speak

[@TechSupportDave]

yep. my teacher can't teach either. Takes 30 mins for the teacher to finally get on with the next part of the lesson.

[@ccrze]

lol my teacher just writes it all up and u get to copy it on ur notebook. 30min after u are 3/20 in a quiz

[@anandvgchennai1974]

If I had got a math teacher like Mr Woo, I would have loved this subject. These students are lucky. His way of explanation is awesome.

[@bestcreations4703]

This was truly one of the most easy to follow explanations of calculus concepts ive ever heard. High school students could easily follow this, let alone college students. I was tutoring for my college just today when a student came in for calc I help. Ive taken Applied Calc three or so semesters ago so I was able to help. It was tough though, despite getting an A, none of the concepts were ever explained like this and nothing stuck, I couldnt even draw upon any intuition to help me derive the same concepts again or remember them. On my way home I got fixated on the question of "how was the power rule derived and why cant it be used when a variable is in the power" which led me to researching and attempting to derive the equations myself. After I figured out the power rule I also worked out the chain rule. Now im here watching this video and calculus has never been more clear in my life. I dont even know where im going with this story, I just am having an epiphany. Ive never been more interested in a lecture in all my life.

[@teddi_tqt]

After many years doing calculus like derivatives, I finally understand what it really is. At school, we just focus on the exercises to get used to the rules, but not fundamental like this. Thank you so much for this video.

[@Smitha-xr8qg]

Thank you so so much for this! I have been searching far and wide for math being taught like it should be - like this. I literally can't solve problems without learning the theory.

[@867star]

Word. And some teachers nowadays still scratch their heads wondering why some people are hopeless.

[@robintuition4164]

SAME! I need to understand the "why" before I can jump into examples. Teachers don't usually take the time to explain like this. Hope this helped you pass Calc! :)

[@abhishekbaba7823]

Exactly my feelings.

[@hemarun09]

History of the word calculus and whole presentation was amazing. Kids are really lucky.

[@wigi3503]

As an engineering student, currently on integrals level, this is an excellent introduction to calculus. As Mr. Woo have said, it's a big mistake to focus on rules and examples, without knowing the beginning and background of the whole story. Maybe the students are yet too young to appreciate Woo's engagement and passion. I wish them to get aware of those facts. Greeeat teaching skills, Mr. Woo is a brilliant man, that is rare ;)

[@inimacam3945]

A true teacher all the way. Such passion in delivery. Awesome. thank you

[@abhinavprajapati5962]

Holy shit man, you cleared me a doubt I've had for an year. Hats off man...you are a legend.

[@thisprofileismt]

Eddie Woo, mate, take a bow! This is by far, easily the best explanation I've heard for an intro to Calculus. This is beautiful. You really prove how wonderfully passionate you are to teach Mathematics. I got emotional just understanding these concepts so well. It sucks that I wasted so many years not understanding the root of these concepts. Thank you so much for this. This is pure gold.

[@thxk8422]

90% of me doing bad in math was due to improper explanations of what the hell we were actually using the math for. Thank you for preparing me for calculus

[@sheldonharvey8306]

Toward the end of the video, I heard the bell ring. But I did not hear the mad rush to exit the classroom. As an experienced classroom teacher, I find that miraculous. Thank you for the video.

[@pokixd2298]

Best teacher ever, very clear and to the point with passion

[@gijsjespers4868]

I am at university learning maths and i love how even though i have learned all this, new things still arise. Never knew why they wrote dy/dx, yet it is so obvious.

[@carultch]

Mainly because dy/dx and y'(x) are the most typographically friendly notations to use for a derivative. Newton and Euler both had derivative notations of their own, yet the Lagrange and Leibnitz notations are what we most commonly today.

[@call_me_mado5987]

Man, this guy is probably one of the only people take can make a wide audience of viewers watch math explanations for entairtainment.

[@wtung82]

Now I know I aced all my mathematics courses because of good memory, not because of good understanding. I am finally getting that understanding now.Thank you Eddie Woo.

[@fatninja6099]

The best maths teacher ever...... It's amazing how clearly and perfectly he explains things.. I wish I had a teacher like him when I was taking calculus.

[@CECItheMATOS]

What an excellent, *excellent* teacher. You have me binging on your videos like I would do watching tv shows, you have made math a beautiful, curious, mind blowing story. Brilliant work.

[@karjunteo1524]

Omg , it was mindblowing when I finally realise what was dy/dx actually meant after being taught just to memorise the rules in school

[@lukesinopoli1824]

I love how the bell rings towards the end of the video, and yet you don't hear the zipping of backpacks and kids rushing to get out of class as quickly as possible. Truly amazing how captivating you are.

[@chethans7436]

Literally I just understood Calculas. I'm glad that I found your channel. I wish I got a teacher like you earlier. Thank you so much. I'm now a Math addict 🤣 n I believe that I can learn Mathematics better than ever.

[@Tony-nl6pf]

You're a brilliant teacher.

[@thesaurusrex7919]

I'm glad I can pause and start this video however many times as needed without holding up an entire class.

[@kennethkngoma1262]

This guy was born to teach, it's an inborn gift 👏👏👏👏👏👏👏👏👏👏👏👏👏👏👏👏👏👏👏👏👏👏👏👏

[@muhammadmoinirfan3901]

Best video I have ever seen on the topic of calculus..! a big round of applause for you...!

[@aperson2020]

Hi Eddie, I wish I had you as my teacher 41 years back when I first met calculus. I might have had a different career. Great job ... may the Force be with you :-) Please find the equation for World Peace and teach our idiot leaders.

[@genox633]

I’m just a kid now I will start actually listening I guess? Thanks for calling this out

[@jamest5081]

This one series of videos, maybe 30 min total, made literally weeks of Calc 1 click for me. Thank you!

[@YeloPartyHat]

You absolutely have the best introduction to calculus I have seen!

[@bruno84]

Ahh so that "d" was change... Wish somebody explained this like this guy when I was back at school!

[@nvfpv]

d or delta x or delta h or h

[@mandira2001]

difference

[@andrewkhchan]

Where is the rest of the lessons???

[@vikrambhardwaj1201]

Never thought "Calculus" lectures can be mesmerising..... Kudos to you!!

[@kmmadhu1280]

I absolutely love love LOVEEEE the way you teach!! You've made me fall in love with math all over again! The one thing you did beautifully was to explain the origins which I've never before been privy to, which really makes me appreciate the REAL world problems Newton and Lebnitz were trying to solve!! We were not able to solve problems with 0 where you divide it by 0, but we are able to get answers "good enough". Good enough being, KEY!!! As they can still help solve real world problems!! You don't get an answer when you substitute 0 in the equation, but as you tend closer and closer to zero, your answer CONVERGES to a point, and that CONVERGENCE is good enough to solve your real world problem!! Mathematics is not ALWAYS about always finding the EXACT answer to things. It's about understanding the language of universe, by the bare bones, stripped naked, and once we understand these, we DO WONDERSSSSSSSSS in this world!!! 🌸🌸

[@kevindaniel8249]

I love Math because of You!!! Thank you so much :)

[@MrBedoJoe]

I'm a friggin' renewable energy engineer and I swear to god, this is the first time I understand limits!!!!!!!!

[@apersononearth254]

lolololol

[@sugebeltz830]

Wow, you must be really dumb! It must be really easy to become an engineer in your country.

[@MrBedoJoe]

sugebeltz That's somehow true. The more I learn the more I understand that I lack a lot of knowledge. And yes, it is somehow easy to become an engineer in my country. Memorise stuff, pour it in your exam paper and voala!! You're an engineer.

[@funkahontas]

sugebeltz it can’t be easier than offending people online now can it ?

[@sugebeltz830]

Elliot Alderson Well, I didn't mean to be offensive to anyone and it doesn't seem Bedo Joe took offence. It just seemed a bit surprising to me that you could become an engineer without understanding the most elementary concept of calculus, (namely "limits"). I realize calling him "dumb" was not appropiate. I'm sure he's not. Understanding Calculus can take a long time, but "limits" should be a piece of cake for an engineer.

[@AkashSingh-eb9jr]

Made me appreciate three things : #1) All it needs is 1 great teacher to spark something very good. #2) Fortunate to stumble across this and would like to witness a live class #3) Technology gives such easy access to such priceless knowledge that using it for anything else is just wrong.

[@anushamishra9705]

You give me a completely different way of understanding mathematics and not only this much my approach towards problems and things are changing. What an impact. It feels like some neurons in my brain have suddenly started working. You are simply excellent. You are changing my perception not only towards the subject but towards many things. Never felt so happy . Thank You Eddie.

[@Aeroxima]

"Do you agree with that?" I like that. I could learn math 1000% easier or more if people teaching math would actually ask that (and I could answer). There's always something that makes no sense, and you're expecting to just go with it. "That's just what it is, don't question it." What a way to destroy somebody's interest and understanding in math.

[@Jagannath.Behera]

Really true.

[@anirudhmenon749]

This lecture is as thrilling as the final scene of the Usual Suspects.

[@srhyaekuau]

The insolence and ignorance coming from individuals packing up their possessions just because the bell rings is incredible. I would not even blink if I was in his class. I don't think they understand how valuable a teacher like that is for something as beautiful as math.

[@codynielsen305]

I'm floored at how simple and easy you made that. I've been struggling in my textbook and university class to grasp this over the last several months. You just made it clear in about 20 mins...! Thank you!

[@anujtuladhar8318]

now i understand the true meaning of calculus. thank you very much sir

[@patrickhuh1410]

Eddie you are my star and you inspired me to and taught me lots of things about mathematics. Go Eddie!!

[@kumarupendra]

kzbin.info/www/bejne/r5C7qIShmM2qqKc

[@embergamedev]

Taking an online Calculus course as an adult and currently working with limits. Explaining it as Tangents and Secants did not happen (at least yet) in my class and this has helped understand from a whole new angle the principles being taught. So cool! This teacher is the best.

[@srizzio]

The clarity in his explanation of those esoteric concepts was brilliant. You are a great teacher Mr. Woo.

[@0boarder0]

hmm I was doing calculus without knowing it.

[@TitanLRV]

same haha

[@declanmercer2587]

You werent using calculus you were using components of it

[@ericscaillet2232]

@@declanmercer2587 parts are still parts of the whole

[@shashankchauhan]

I look forward to teaching this to my daughter, only I will have to wait around 10 years as she is just 4 now 🙂 Great stuff, super good 👍

[@WAP1FM2]

Oh I wish had a teacher like Mr Woo...What a wonderful and gentle way to teach Calculus...

[@jasonrinehart8393]

I’ve always excelled in calculus but hearing your explanation has really made me look at it in ways I’ve never thought to. You have helped clear up some areas I never understood. I was always good at just following the rules and regurgitating what I was taught. I wish I had you as my professor.

[@mattt2684]

Such a beautiful explanation!

[@wafeeqahqazi]

It was a difficult topic for me in the beginning to understand but now it's all clear, so Thanku... I don't think there could be any other way better than this for the introduction of Calculus..👍

[@isaacprosper6295]

This kids just don't know how lucky they are,everyone in the world needs a teacher like this...he should be celebrated

[@shibkay2143]

Thankyou so very much.. From now on this person is my teacher... 🌷 He is someone very very ahead of some traditional teachers...

[@colinsilver1041]

This guy is freaking awesome.

[@banishedprivateer]

He didn't say why no one knows about Leibniz :P

[@torisantiago501]

Because Newton made everyone believe Leibniz had stolen the ideas of Calculus from him. I'm not quite sure of how it happend, but I think Newton was the head of the Royal Society by then and was thus very influential. Leibniz was very insecure and didn't have as much power nor influence. Since they had written letters to discuss their findings, Newton had "prove" that Leibniz had stolen all of his work. For a long time everyone believed Newton's word and they thought Leibniz was a plagiarist. Leibniz died without anyone recognizing his achievements. It wasn't until later that it was discovered that Leibniz had actually "also" discovered Calculus on his own and not stolen anything from Newton. That's why Newton was and still is considerably more famous than Leibniz. I think that's how the story goes but I'm not entirely sure. I'm sure you'll find plenty of information if you look it up. I hope this answer is somewhat what you were looking for. :)

[@bruno84]

Well, he didn't say he'd say it to the KZbin viewers. He said that to his class. And he probably delivered although it's not on this vid.

[@saraswatikhatiwada7519]

Well I think he’s had a fair recognition in Computer history And Computer students know him, Not much but I Never knew He was also related with Calculus.It is also an wonder to the Word Great Mathematician Placed before his name in our Computer textbook

[@livedandletdie]

Well, it's because his name is Leibniz, and the world hardly ever remembers a Germans name unless it's Hitler or Einstein. The Jew Hater and the Nuke Inventor...

[@roserpens]

Interestingly, Leibniz won the notation. Newton had a horrible notation for the same concept that made it very hard to reason and write about. Leibniz invented the notation we use now.

[@Astropicsky]

Wish I had a teacher who taught me Calculus this well. Wouldn't have wasted so much of my time reading and retaking classes just to get more insight on the topic.

[@ziplokk1453]

He said Algebra is the math about relationships. It's all about relationships and deciphering the complexities and subtleties of relationships. It's good to see he told the class that a new language had to come about to describe change relationships. The beauty of true learning is that it brings you to a point where you have to stand in utter awe of the universe and the myriad relationships that makes it all.....probable to the point of existence.

[@Cakemonster147]

This was a great help. Thank you.

[@aettic]

*bell rings* "Don't move"

[@jyotisurve2907]

I have seen lot of videos on calculus but no one has explained calculus so beautifully as you. I have become a big fan of yours. Thanks a ton SIR.

[@senamit202]

I really wasn't looking to learn calculus. I came to this video by chance and couldn't stop watching it entirely. Mr Woo is a great teacher.

[@Psychoma99]

I actually am starting to like what math is all about now. The only hard part is going to university everyday and being exposed to a terrible teacher for two hours.

[@morethanyell]

I cried at 9:37 thank you

[@weiwei4962]

solved the mystery

[@benefactor4309]

I studied this all on my own.

[@itsnotif.itswhen]

Omg same

[@mannyheffley9551]

Ayush Aryan Indians are smart .

[@michaeldeng1981]

me too...

[@mixerD1-]

The finest tangent+parallel lines I've ever seen. A 3 thumbs up👍👍👍 class act.

[@adamvorkel9472]

I never thought I'd actually be interested in math... honestly every teacher should be like you. Thank you for such brilliant content!

[@budekins542]

Thumbs up!

[@keshavgoel4554]

Great work Sir I am your student from India. I am interested in knowing the story as to why the second inventor from Germany could not become that famous as Isaac Newton.

[@carultch]

One possibility is that the English-speaking world has a bias to give credit to Newton, rather than Leibnitz, since Newton was English. Another possibility is that Newton also has his legacy from his laws of motion and law of gravitation. Leibnitz's notation still is most commonly what we use for calculus, so he has a stealth legacy in the modern teaching of calculus. The integral sign, the dx, and the dy/dx are all Leibnitz's notation. Newton used a dot above the letter to indicate differentiation (still used today, common in Physics and Engineering Dynamics), and an apostrophe completely above the letter to indicate integration, or a box surrounding the letter. Much of Newton's notation fell out of favor, because Leibnitz's notation integrated with the printing technology a lot better. We also use Lagrange's notation for differentiation today, in the form of the apostrophes as primes to indicate differentiation.

[@dirkbertels3872]

This guy is so good that he ended up dong a TED talk in 2018 titled "Mathematics is the sense you never knew you had". Excellent stuff!

[@kushmeetsingh7249]

If i had found this video 8 years ago, my lifes tangent should be some where else.. world need teachers like yours... respect

[@joshuasims9056]

I get what you're saying! Thank you!

[@MJ-hw3qg]

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[@41ace39]

I dont need to pay to go to college anymore. I can just attend class on youtube with mr.woo

[@carultch]

You pay for your report card. Learning is free. You can even attend college lectures in spite of not being registered for the class.

[@fab647]

College? Wtf. I had this in 11th grade

[@magpiestudent9357]

I wish I had a maths teacher as passionate as he is. I hung on his every word!

[@DarthCoco]

Nice to find a video with a teacher that is very clear by going step by step, even re-covering basic principles/knowledge along the way

[@JohnSmith-gh7br]

why do people from the U.K. add an "s" to "math"???

[@rushildalal2974]

John Smith MATHematicS

[@neel9919]

John Smith he is from Australia not the UK

[@JohnSmith-gh7br]

Neel haha i realized after

[@JohnSmith-gh7br]

Rushil Dalal oh alrighty makes sense

[@nusaibahhussain9975]

Lol he's Australian, but we also say "Maths" here in the Caribbean as far as I know :)

[@agentdelta569]

i aint no X

[@abdullahahmed7604]

you're more of a Y

[@jimviau327]

Some people are born to be teachers. Kudos Eddie Woo, you're good.

[@robintuition4164]

Wow, this has been such an eye opener!! My teacher's heart is in the right place, but I've run into the issue that he makes a lot of assumptions that his students "get it" without him needing to spell it out like this. So so so helpful. Thank you!

[@danvindsouza2725]

*Thanks Eddie Woo You made me love mathematics by showing it's INFINITE Potential. You are One Of The BEST Teachers whom I met so far. Keep exploring and teaching us.*

[@KenBeaconHill]

I remember being blown away by this in engineering school. But wow do I wish Eddie had taught me all of my math. He is so good at everything he teaches.

[@windowzombie]

This demonstration is a refresh for how I was taught calc in 2003 during highschool. It's very well done. I was in AP classes and would toil way on these ideas, but it really was the instructors that made the difference. Would love to have a teacher like this again in any pursuit, I didn't get the experience again until I learned discrete math and intro to comp sci in college.

[@christianborja154]

The way he described dy/dx @ 9:45 is subtle and simple but MIND BLOWING

[@3ncYTM]

As a first year uni student, I'm learning calculus (suprisingly, we didn't have pre-calculus in high school), and I was struggling with it until I started watching your videos. The thing is, what you demonstrate in your videos, weren't mentioned to me in class, we were just given rules to follow. I suppose that knowing not only the rules, but knowing why do they work as they do, helped me understand calculus a lot better. Thanks for that, sir.

[@valriim7315]

Man that's something. Just got drove into your videos. Not even English native speaker but you put so much energy/faith/genuility (not sure this is even a word) that it makes it impossible tu turn the video off. Great job, congrats :)

[@mateocoffey-loring7659]

What a beautifully taught lesson. I bet your kids will remember this for ages

[@deltaexplorer47]

Mr. Woo - you are a GREAT TEACHER AND A BLESSING TO US ALL ..... every time I have problems with Calculus I check your videos - GOD bless you sir.