Teachers who make maths boring are criminals.....this guy on the other hand is passionate, enthusiastic and i love the way he tells his students about the discoveries made and answerss the simple quieries that pop up in a student's mind
Bobby Bobby that's so true, although there are students who would play on their phones anyway, this guy gives those students a reason not to do that. I've found myself in math class watching this guy instead of my teacher. Oh the joys of today's age :')
It's much harder for math teachers. It's comparatively easy to make history , physics, or literature interesting for students. It's much harder to make mathematics interesting for students. I have huge respect for math teachers who are able to do that.
How has this video not got so many comments and views? This teacher is so enthusiastic in his work and I learn a lot from his videos, he deserves more in my opinion
Where real quantities appear to stop imaginary quantities come to the rescue and hand in hand they continue moving along through to an infinite world of the sciences.
I'm supposing that complex numbers are useful because they have a natural ability to describe periodicity and phase, so they are useful to describe waveforms or rotation or what else?
Who cares about complex numbers? Electronics engineers, for one. It makes some kinds of circuit design really easy compared with other calculations. For example, matching networks for RF amplifiers - just plug in the complex impedances onto a polar chart and you can read off the answer you need (complex conjugate). Saves hours of work.
yeah, he should have given more real world examples. Because yeah, in electronics complex numbers a really important só you dont have to use complicated trigonometry
Chemists too! Ironically I never learned about working with complex numbers in a math course. Only in my chemistry courses (materials, spectroscopy and quantum)!
I like how you're taught diff eq's but pretty much spend the rest of your undergrad abusing complex numbers to avoid diff eq's like your life depends on it
As an EE, I spent my whole career using complex numbers. As an example, in circuit math, inductors and capacitors are represented using complex numbers. Hardware is often designed in the 4th dimension using Laplace and Fourier transforms, which require the use of complex numbers. I have watched a few of this guy's videos, and he is pretty good.
@@sleeplessdistrict3897In Electrical Engineering, these numbers are called j instead of i, because i already has a full time job in EE to stand for current. These numbers enable you to keep track of components such as capacitors and inductors, in the same way you keep track of resistors, except with an equivalent concept of impedance that uses imaginary numbers. This allows you to combine such components in series and parallel, the same way you combine resistors in series and parallel, in order to predict the behavior of a circuit with all three kinds of passive components. An example problem you might solve in EE with these numbers is as follows: A resistor (R = 100 ohms) and an inductor (L = 100 millihenry) are in series, supplied by an AC voltage source defined by V=A*sin(w*t), with A=170V and w = 377 rad/s. What is the amplitude of the current through the circuit, and the phase shift from the original voltage waveform? Solution: Impedance of the resistor, Zr = R Impedance of the inductor, ZL = j*w*L Voltage waveform expressed as a phasor: V = A + 0*j Current waveform expressed as a phasor: I = ir + ij*j We are interested in determining values of ir and ij, the real and imaginary components of I. Once we have those, we combine them in Pythagorean theorem to get magnitude, and use arctangent to get the phase angle. Add up the impedances in series: Znet = Zr + ZL Znet = R + j*w*L Apply the impedance extension of Ohm's law to relate voltage to current: V = I*Znet Solve for I: I = V/Znet Substitute Znet, and V = A + 0*j: I = A/(R + j*w*L) Use complex conjugates to clear the j out of the denominator, by multiplying by 1 in a fancy way: 1 = (R - j*w*L)/(R - j*w*L) I = A/(R + j*w*L) * (R - j*w*L)/(R - j*w*L) (R + j*w*L) * (R - j*w*L) = R^2 + w^2*L^2 I = A*(R - j*w*L)/ (R^2 + w^2*L^2) Therefore: ir = A*R/(R^2 + w^2*L^2) ij = -A*w*L/(R^2 + w^2*L^2) Magnitude of I = sqrt(ir^2 + ij^2) Magnitude of I = A/sqrt(R^2 + w^2*L^2) = 1.6 Amps Phase angle of I = arctan(ij/ir) = arctan(-w*L/R) = -0.36 rad or -20.7 degrees Equation for I(t) = 1.6 Amps * sin(377 rad/s *t - 0.36 rad)
@@sleeplessdistrict3897 Indeed, and right off the hop in AC theory. As you'll quickly discover, the term "imaginary" turns out to be especially apt, so much so you'd think it was chosen for this application.
@@sleeplessdistrict3897 complex numbers is essential for EE. It ties into eulers formula and eulers identity which is arguably the most important equation in EE
Very impressive Mr. Woo to generate true interest and energy out of your topic through mathematical history and talking about math as a "weapon". Very intriguing!
A student may or may not be a potential mathematical genius, but damn me if consistent presence of teachers like these lift their curiosity and aptitude at very least if not result in their bloom into a master of the field.
Seeing this exactly 7 years after this class happened, on the 20th of October of 2022. This guy is amazingly good at teaching, I can’t imagine how he teaches now after 7 years + of experience.
The way this guy makes Math so interesting and fundamental is how I wish more math teachers (especially in Highschool) would teach it. More students would get into STEM and discover amazing careers.
Ok, at first, when hearing someone surprised that surds appeared, I began to roll my eyes, because it is such a stupid thing to say, since we could turn all numbers into surds. But when I realised that he was trying to tell us about the history of complex numbers and used surds to highlight the absurdity at that time of using complex numbers to solve cubics, I am genuinely impressed. It is such a good way to bring out the concept of complex numbers from things students have already known from a different perspective. Hm...mad respect for Mr Woo.
Actually i should not be written as sqrt(-1) bcz the sqrt function is well defined to take only non negative numbers. Therefore sqrt(-1) is fundamentally incorrect
I used to love mathematics untill i meet my undergrad teacher who was such an ass that made me hate it. But...you sir reminded me why I loved it in first place. Great respect Sir. Love the way you teach. I wish I had such a wonderful teacher like you in my college.
I cannot believe what I just watched. Listen to how engaged and interested the students are. If every teacher was this passionate about the subject they were teaching students would look forward to going to school and would put forth an effort to learn. I would love to be in that class all of my classes are boring and half the class is asleep
In electronic engineering complex numbers can be conveniently used to represent the phase difference between signals, vastly reducing the work load when analysing signals in a circuit
The students of Cherrybrook Technology High School are indeed fortunate to have a maths teacher with Eddie Woo's patent enthusiasm. Go public education! Go Aussie!👍
@misterwootube I didn't realize what your UA-cam handle was before, so I'm posting my comment again. You bring an inspiring energy to your classroom. It is very interesting to watch the mathematics unfold. I am captivated and engrossed from the first second! Keep up the great work. Thank you for posting all these videos!
+[rs] farzz zinjj Just a joke. I'm american, and we don't say "maths", we use the uncountable noun 'math' to refer to the subject. So when a british-english speaker says something like "My maths are not great" it sounds as funny to my ear as saying "How are your englishes/histories/chemistries". There's another one like that... oh yeah, well it's the opposite -- UK:"sport" vs. US:"sports". Ech.
+@ki kus Ok, so school me. Should i have included my explanation in the original reply? I'm guessing any british-english-speaker would get the joke (they invariably have a superiority complex about their dialect and so are keenly aware of these differences**). +[RS] Farzz sounded like a non-native speaker, and being an ESL teacher my instinctive response was to politely explain that nuance between UK/US english simply for their benefit. Are you a native english speaker, and/or were you aware of this distinction and still didn't get it? That seems unlikely. You need to study how to let a joke go if the target audience is certain to get it. **THIS WAS ALSO TONGUE-IN-CHEEK, I.E. *A JOKE*
@@Raketemensch-fl3sv I'm a native British speaker although not from Europe and I didn't get your "joke" I was trying to figure out a grammatical error in his sentence. Also, usually people don't say my Maths AREN'T good. They say my Maths isn't good. From where I'm from at least.
For those interested in taking this further there is a book ("An Imaginary Tale") by Paul Nahin who starts with Cardano and moves into more advanced features of complex numbers. BTW , I agree with many of the comments here ... Mr Woo is a marvelous teacher.
A lot of the maths they discovered in the 16th and 17th centuries had no practical applications at the time. It wasn't until recently that people found uses for them.
You are only going to confuse English-speaking students more, if you try to teach them Sridharacharya's name, every time you try to teach the quadratic formula.
i recently discovered this channel and i can't stop watching. I love how passionate he is and his way of explaining really interesting subjects, that most people think are boring.
Italian mathematician duels in the Renaissance, who knew math could be so interesting! I’m re-learning complex number because python has a data type for it (been out of school/uni/grad school for so many years, this concept has completely escaped me lol) I found his videos teaching HIGH SCHOOL students just fascinating
Just in case you commoners didn't see it, he's not teaching math. He's presenting PEDAGOGY in its finest form. Passionate, engaging and makes you want more.
very interesting point of view, thanks for sharing! Complex numbers, to me, are an anomaly that came from the need of making the "square root" operator work for all the real numbers, Thus, they are useful but not easy to grasp (intuitively). To me, the limit of intuition are the rational numbers. Which should not stop us from creating new mathematical objects that help us advance as societies. Ps: when I say "intuition", I mean "my intuition"
Hello, Sir Woo. I finally found you on your own channel. I saw your Tedtalk before about Mathematics. I love it and I enjoy it so much. I watch it over and over again to motivates me when every time I feel weak and encountering challenges in Life. I'll never forget your intro and last words saying "I Love Mathematics"
@eddiewoo You bring an inspiring energy to your classroom. It is very interesting to watch the mathematics unfold. I am captivated and engrossed from the first second! Keep up the great work. Thank you for posting all these videos!
Just because its a surd doesn’t mean its irrational, sqrt of prime is irrational but sqrt of perfect squares are perfectly rational...how can he say that the quadratic formula turns irrational into rational then? If the surd is indeed irrational the solution will also be irrational, e.g. 2sqrt(2)+1
Yes, you are completely right. I was thinking the same. It never goes via an irrational number in this example. I know what he was trying to get at (many problems, even for real numbers are easier/possible to solve if you extend to the field of complex numbers), but this wasn't a suitable example.
He is right sqrt(25-24) you find it by looking into it. He is not exactly saying about converting from irrational to rational. The calculation does it in that way. If it is sqrt(a-b) it can produce rational, irrational or complex number. It is the power of mathematical abstraction.
Wish I could go back in time and learn math with a good teacher like Eddie. Enjoying these videos a lot and relearning things from 20-30years ago, but now I am able to understand better what they mean and why they are important
I'm 65 went back to attempt a BSc. I crashed into the complex number, vector, matrices walls twice; having only done general maths at school. Mr Woo, thank you, I am beginning to get it. I will go back to uni and give it another crack.
I think the idea is that if you split the numbers up within the sqrt you would get irrational numbers. Obviously, you can just solve 25-24 first, however, before that it is a surd.
@@thomasmerkus6445 i know I'm late In literal mathematical sense, a surd would be a number which never terminates . But i think what you've said is correct
Only a teacher that really understands something can be this captivating. Only a teacher that cares about fostering a real understanding of mathematics and cares about expressing its immense beauty can make learning so easy. There was a point in my life not half a year ago where I absolutely hated math and now I realize why. When I was younger in grade school it was my absolute favourite subject, but around middle and high school where more advanced and seemingly obscure concepts were introduced and curious that I am ever questioned their validity I was always struck down, always told that thats just the way it is. I absolutely lost it, I hated it. Mathematics became something that made me disgusted with school. How can they be teaching us stuff that they themselves absolutely do not understand. The hypocrisy was unbelievable. I switched my whole academic career in favour of english and social sciences as in those subjects questioning things and gaining intuition is validated, its expected and important. We need to rethink our education model. No more pushing people along without mastery, you're just dooming kids to a life of obeying orders without needing understanding. You're teaching them to be mindless. You are in fact the anti-education!!!! Teaching takes commitment and passion and if you dont have that stop ruining peoples lives and find your place in society, that isnt a detriment but a benefit to society as a whole!!
Actually most of the application is in Engineering. Complex number used as tools to deal with frequency & phase. It turns out the property of complex number is great to deal with "rotation" or "repetition".
And THAT is exactly why i think it would be crucial to teach "History of Sciences" together with "Sciences". Some students hates sciences, maths, or history (or all of them, then the problem is probably elsewhere). But when you combine something you like with something you don't, you make the combination likable. If you disagree, considere this: Kids who don't like fruits but like chocolate doesn't suddenly consider a chocolate/fruit dessert wasted. They just start to appreciate the fruit beneath the chocolate. Well, having a great chef helps. And mister Woo definitely is a chef of mathematics.
I graduated with a degree in mathematics with a pseudo understanding of complex numbers and limits. Mastery isn’t necessary in the current academic environment so you can get by areas like this by doing well in other areas.
@@razvanmeze3720 You can add "Electricity" to the answer. There are lots of applications where math is essential. I have a mostly logic brain, so I don't really get human Sciences . But I do recognize their importance in culture.
I don't understand why he says the Square Root of 1 is a surd. The Square Root of 1 is obviously not a surd. No? For clarity where he has Sq Root (25-24)
The term "surd" refers to the expression, not the result. That is, a surd is "the nth root of p". In this case the expression "the 2nd (square) root of 1", which resolves to the integers 1 and -1. Other surds, such as the square root of 2, don't resolve to integers, they are irrational and usually remain expressed in their surd form to avoid approximation.
@@howeyaus Are you saying that sqrt of 25-24 is a surd, while sqrt of 1 is not? This video illustrates my understanding of surds: ua-cam.com/video/568dGLFTom8/v-deo.html especially around 1:00 meaning, IMO, square root of 1 are not surds - because the roots (=solutions) are integers and, raised to the power of 2, return the radicand. Buffled really.
@@akshat8429 No, a surd is a root that can not be simplified to a rational number. The square root of 1 can be simplified. This teacher is using either wrong, or using some unconventional terminology.
Teachers who make maths boring are criminals.....this guy on the other hand is passionate, enthusiastic and i love the way he tells his students about the discoveries made and answerss the simple quieries that pop up in a student's mind
Arnab Sinha most teachers don't even themselves understand what they are teaching😂
Bobby Bobby that's so true, although there are students who would play on their phones anyway, this guy gives those students a reason not to do that. I've found myself in math class watching this guy instead of my teacher. Oh the joys of today's age :')
It's much harder for math teachers. It's comparatively easy to make history , physics, or literature interesting for students. It's much harder to make mathematics interesting for students. I have huge respect for math teachers who are able to do that.
you can teach things in a simple manner if you really understand it.
Students are the problem most of the time not the teachers.
I DO have Mr. Woo as my teacher! What a privilege.
I am just jalous, and i'm 55 yo
Vincent Bournique lucky bastard lmao 😆
Was that coincidence? Because the perfect reply to "Who cares about complex numbers?!
"
is . . .
" _i_ do " ?
(I haven't watched the video yet.)
Ur lucky
@@achtsekundenfurz7876 hahaha
The way he draw the Q was soo satisfying
Juan Manuel Vargas Sanchez Every one of those Letters actually
Agreed but his Q was the most satisfying.
Ya'll gonna adore this video then: ua-cam.com/video/l789l6np-qA/v-deo.html
It's not a font style, those letters are meant to be written like that.
Yeah, it's convention, anyone who has done tertiary mathematics is familiar with those symbols.
How has this video not got so many comments and views? This teacher is so enthusiastic in his work and I learn a lot from his videos, he deserves more in my opinion
Let his channel go viral and let him have a million subs next year.
Roberticus VII He is really good
I know, its great when you get a teacher like this
Roberticus VII I just went to his show today in Australia
Because we spend 13 years beating the enthusiasm for math out of people instead of showing them how beautiful and satisfying it can be.
Normal people: Who cares about complex numbers??
Electrical engineers: WHAT?! YOU CAN'T LIVE WITHOUT COMPLEX NUMBERS!
Also extensively used in computer science. Digital signal processing heavily relies on complex numbers.
Where real quantities appear to stop imaginary quantities come to the rescue and hand in hand they continue moving along through to an infinite world of the sciences.
Whe use them in Probability too ! ( Characteristic Functions of random variables)
LOL, that was my immediate answer to that question. Electrical engineers.
I'm supposing that complex numbers are useful because they have a natural ability to describe periodicity and phase, so they are useful to describe waveforms or rotation or what else?
Who cares about complex numbers? Electronics engineers, for one. It makes some kinds of circuit design really easy compared with other calculations. For example, matching networks for RF amplifiers - just plug in the complex impedances onto a polar chart and you can read off the answer you need (complex conjugate). Saves hours of work.
Python programmers :)
yeah, he should have given more real world examples. Because yeah, in electronics complex numbers a really important só you dont have to use complicated trigonometry
Chemists too! Ironically I never learned about working with complex numbers in a math course. Only in my chemistry courses (materials, spectroscopy and quantum)!
I like how you're taught diff eq's but pretty much spend the rest of your undergrad abusing complex numbers to avoid diff eq's like your life depends on it
@@TheArnoldification
"Abusing", "Avoid". What does this even mean? Are you implying that there is a more "true" way of solving differential equations?
As an EE, I spent my whole career using complex numbers. As an example, in circuit math, inductors and capacitors are represented using complex numbers. Hardware is often designed in the 4th dimension using Laplace and Fourier transforms, which require the use of complex numbers. I have watched a few of this guy's videos, and he is pretty good.
A someone interested in majoring electrical engineering, I didn’t realize the concept could even be applied. That’s really interesting
@@sleeplessdistrict3897In Electrical Engineering, these numbers are called j instead of i, because i already has a full time job in EE to stand for current. These numbers enable you to keep track of components such as capacitors and inductors, in the same way you keep track of resistors, except with an equivalent concept of impedance that uses imaginary numbers. This allows you to combine such components in series and parallel, the same way you combine resistors in series and parallel, in order to predict the behavior of a circuit with all three kinds of passive components.
An example problem you might solve in EE with these numbers is as follows:
A resistor (R = 100 ohms) and an inductor (L = 100 millihenry) are in series, supplied by an AC voltage source defined by V=A*sin(w*t), with A=170V and w = 377 rad/s. What is the amplitude of the current through the circuit, and the phase shift from the original voltage waveform?
Solution:
Impedance of the resistor, Zr = R
Impedance of the inductor, ZL = j*w*L
Voltage waveform expressed as a phasor: V = A + 0*j
Current waveform expressed as a phasor: I = ir + ij*j
We are interested in determining values of ir and ij, the real and imaginary components of I. Once we have those, we combine them in Pythagorean theorem to get magnitude, and use arctangent to get the phase angle.
Add up the impedances in series:
Znet = Zr + ZL
Znet = R + j*w*L
Apply the impedance extension of Ohm's law to relate voltage to current:
V = I*Znet
Solve for I:
I = V/Znet
Substitute Znet, and V = A + 0*j:
I = A/(R + j*w*L)
Use complex conjugates to clear the j out of the denominator, by multiplying by 1 in a fancy way:
1 = (R - j*w*L)/(R - j*w*L)
I = A/(R + j*w*L) * (R - j*w*L)/(R - j*w*L)
(R + j*w*L) * (R - j*w*L) = R^2 + w^2*L^2
I = A*(R - j*w*L)/ (R^2 + w^2*L^2)
Therefore:
ir = A*R/(R^2 + w^2*L^2)
ij = -A*w*L/(R^2 + w^2*L^2)
Magnitude of I = sqrt(ir^2 + ij^2)
Magnitude of I = A/sqrt(R^2 + w^2*L^2) = 1.6 Amps
Phase angle of I = arctan(ij/ir) = arctan(-w*L/R) = -0.36 rad or -20.7 degrees
Equation for I(t) = 1.6 Amps * sin(377 rad/s *t - 0.36 rad)
@@sleeplessdistrict3897 Indeed, and right off the hop in AC theory. As you'll quickly discover, the term "imaginary" turns out to be especially apt, so much so you'd think it was chosen for this application.
Same here, my degree was in Electronics and complex numbers are not alien to me.
@@sleeplessdistrict3897 complex numbers is essential for EE. It ties into eulers formula and eulers identity which is arguably the most important equation in EE
this is literally the first time I have heard the term "surd" :)
pretty abSURD, am i right ?!
get out.
I had to google the word lol
2nd time
How old are you?
woo cares !
Underrated
Lmao
This should be the title to one of his education campaigns
😂😂😂
Hy Goh Get out
Very impressive Mr. Woo to generate true interest and energy out of your topic through mathematical history and talking about math as a "weapon". Very intriguing!
Peter Osudar
When ever other teachers try to make things interesting it always seams forced
With Woo it is all genuine
Me(to my teacher): why r we studying complex no.s?
Teacher: Because they will come in the test...
That's indian education system in a nutshell..
you haven't seen brazil's education yet.
Well, it sucks dude !
Africa too
@@GOODMORNINGSUBSCRIBER seconded.
Damn relatable! Mine too
A student may or may not be a potential mathematical genius, but damn me if consistent presence of teachers like these lift their curiosity and aptitude at very least if not result in their bloom into a master of the field.
Seeing this exactly 7 years after this class happened, on the 20th of October of 2022.
This guy is amazingly good at teaching, I can’t imagine how he teaches now after 7 years + of experience.
You're legit the best maths teacher I've ever seen.
Joseph Lee-Doktor wo
The way this guy makes Math so interesting and fundamental is how I wish more math teachers (especially in Highschool) would teach it. More students would get into STEM and discover amazing careers.
So sad indeed
Ok, at first, when hearing someone surprised that surds appeared, I began to roll my eyes, because it is such a stupid thing to say, since we could turn all numbers into surds. But when I realised that he was trying to tell us about the history of complex numbers and used surds to highlight the absurdity at that time of using complex numbers to solve cubics, I am genuinely impressed. It is such a good way to bring out the concept of complex numbers from things students have already known from a different perspective. Hm...mad respect for Mr Woo.
I would have loved to have him as my math teacher, BEST TEACHER EVER
Same
love this guy's style.. if we had math teachers like him...everyone would be a mathematician
Subbed...this guy is fantastic. I wish I had email addresses for all my old math teachers, so I could show them how to do it.
When you watch a 14 minute video about imaginary numbers and the dude doesn’t actually ever write it as i or define it as the sqr rt of -1.
He does not talk that much about complex numbers, he only explains how they were first discovered/invented
You shouldn‘t define i as sqrt(-1) but rather as i^2 := -1 , else you would have to redefine the sqrt-function aswell.
Actually i should not be written as sqrt(-1) bcz the sqrt function is well defined to take only non negative numbers. Therefore sqrt(-1) is fundamentally incorrect
@@kenokrieger4226 true
Dietrich Blume even this is a touchy definition because -i fits the “definition” of i and you need a way to distinguish the two
Eddie Woo is a brilliant teacher. An inspiration. I may go back to teaching one day.
Weird way to self promote ain't it
I absolutely agree - Mr Woo is a wonderful teacher. His students are very lucky.
You have a real gift! The way you teach and they way you keep your class interested are both absolutely excellent
Dude, you don't have to brown-nose him. He put his videos on UA-cam, because he knows he's good at it.
he is so passionate with his teaching career. there is no doubt. keep it up, world needs more teacher like u...
99% of my teachers never explained why we have to learn some stuff and it's importance.
hats off to you sir...... so much energy and positivity
I used to love mathematics untill i meet my undergrad teacher who was such an ass that made me hate it.
But...you sir reminded me why I loved it in first place. Great respect Sir. Love the way you teach. I wish I had such a wonderful teacher like you in my college.
I was used to love my lecturer
@@sugatadutta2820 You can be an experienced old person and still be an idiot
@@sugatadutta2820 where is the relevant point in your statement?
@@sugatadutta2820 I think your father must be that teacher
@@rdmz135 Ohh pepe !!
I cannot believe what I just watched. Listen to how engaged and interested the students are. If every teacher was this passionate about the subject they were teaching students would look forward to going to school and would put forth an effort to learn. I would love to be in that class all of my classes are boring and half the class is asleep
In electronic engineering complex numbers can be conveniently used to represent the phase difference between signals, vastly reducing the work load when analysing signals in a circuit
You are such a wonderful person! Keep on going
Me : Drinks two whole glasses of water just before going to bed
My brain as soon as I go to my room : You need to drink water
Me: 0:00
XDD
This is amazing. Eddie is the best math instructor I have ever seen, and I've seen a lot of great ones. Wow.
I'm watching these videos instead of doing my math homework
Oh god your comment is scarily relatable. i dislike you
go away herobrine
Omg me toooo
That's what I'm doing right now
Coincidence? I don’t think so
yh amm alsoo
Wonderful, as usual. Thank you!!!
The students of Cherrybrook Technology High School are indeed fortunate to have a maths teacher with Eddie Woo's patent enthusiasm.
Go public education! Go Aussie!👍
@misterwootube I didn't realize what your UA-cam handle was before, so I'm posting my comment again. You bring an inspiring energy to your classroom. It is very interesting to watch the mathematics unfold. I am captivated and engrossed from the first second! Keep up the great work. Thank you for posting all these videos!
"i" cares
Thank you so much, I'm so grateful to you.
That is teaching. You do a wonderful work, sir. Yours are extremely fortunate students.
Simply beautiful. You are a pro.
i love this guy and i want him as my maths teacher
Looks like you should be more concerned about your englishes teacher.
@@Raketemensch-fl3sv why do you say that?
+[rs] farzz zinjj
Just a joke. I'm american, and we don't say "maths", we use the uncountable noun 'math' to refer to the subject. So when a british-english speaker says something like "My maths are not great" it sounds as funny to my ear as saying "How are your englishes/histories/chemistries".
There's another one like that... oh yeah, well it's the opposite -- UK:"sport" vs. US:"sports". Ech.
+@ki kus
Ok, so school me. Should i have included my explanation in the original reply? I'm guessing any british-english-speaker would get the joke (they invariably have a superiority complex about their dialect and so are keenly aware of these differences**).
+[RS] Farzz sounded like a non-native speaker, and being an ESL teacher my instinctive response was to politely explain that nuance between UK/US english simply for their benefit. Are you a native english speaker, and/or were you aware of this distinction and still didn't get it? That seems unlikely.
You need to study how to let a joke go if the target audience is certain to get it.
**THIS WAS ALSO TONGUE-IN-CHEEK, I.E. *A JOKE*
@@Raketemensch-fl3sv I'm a native British speaker although not from Europe and I didn't get your "joke" I was trying to figure out a grammatical error in his sentence. Also, usually people don't say my Maths AREN'T good. They say my Maths isn't good. From where I'm from at least.
For those interested in taking this further there is a book ("An Imaginary Tale") by Paul Nahin who starts with Cardano and moves into more advanced features of complex numbers. BTW , I agree with many of the comments here ... Mr Woo is a marvelous teacher.
It's so fun to learn a little bit of History along with Mathematics. Really gives you a perspective as to the origins of some of the concepts.
I reckon Veritassium found this video and decided to do his own in depth video, it's very good
A lot of the maths they discovered in the 16th and 17th centuries had no practical applications at the time. It wasn't until recently that people found uses for them.
If Mr. Woo had been my teacher in H.S. I would be a mathematician today!...just brilliant! Bravo...thanks! Will watch all his videos & enjoy them!
Great story about math duels!
I love watching your videos, Mr Woo. You're a great mathematician and a better teacher. Cheers!
The way he wrote that "Q" (rational nos.) is so satisfying.
NBD, imma just gonna write a cubic out here without looking kk?
Glorious. I’m loving how engaged your students are.
Great video by an awesome prof :)
For information the square root formula is called "sridharacharya's formula"
You are only going to confuse English-speaking students more, if you try to teach them Sridharacharya's name, every time you try to teach the quadratic formula.
i recently discovered this channel and i can't stop watching.
I love how passionate he is and his way of explaining really interesting subjects, that most people think are boring.
good old high school days, Philosophical debates in a Maths class!! I miss those moments!!
Its a pleasure to listen to you
Italian mathematician duels in the Renaissance, who knew math could be so interesting!
I’m re-learning complex number because python has a data type for it (been out of school/uni/grad school for so many years, this concept has completely escaped me lol) I found his videos teaching HIGH SCHOOL students just fascinating
A lot of those "duels" started off as math duels and then turned in to real ones.
Just in case you commoners didn't see it, he's not teaching math. He's presenting PEDAGOGY in its finest form. Passionate, engaging and makes you want more.
Professor Woo, suas aulas são muito interessante, parabéns pela sua didática.
Who else is watching this 20/Oct/2024. Exactly 9yrs after
you actually make me want to look for my old math books and study through them, this is madness
No, what is madness is that you're trying to virtue signal to somebody for making a youtube video.
Such a legend! How someone can give it a thumbs down I couldn't tell you.
I wish my Math teacher was like him.
I noticed you from Ted talk, now that I'm subbed, outsmarting my classmates will be easier than ever
very interesting point of view, thanks for sharing!
Complex numbers, to me, are an anomaly that came from the need of making the "square root" operator work for all the real numbers, Thus, they are useful but not easy to grasp (intuitively).
To me, the limit of intuition are the rational numbers. Which should not stop us from creating new mathematical objects that help us advance as societies.
Ps: when I say "intuition", I mean "my intuition"
Perhaps not one of the best teachers but the best teacher in the world. His teaching style is in a class all by itself.
Never thought I'd have a crush on someone else's math teacher...
Hello, Sir Woo. I finally found you on your own channel. I saw your Tedtalk before about Mathematics. I love it and I enjoy it so much. I watch it over and over again to motivates me when every time I feel weak and encountering challenges in Life. I'll never forget your intro and last words saying "I Love Mathematics"
Essentially, we care about complex numbers because we want to find an algebraic closure for real numbers.
@eddiewoo You bring an inspiring energy to your classroom. It is very interesting to watch the mathematics unfold. I am captivated and engrossed from the first second! Keep up the great work. Thank you for posting all these videos!
Respected Sir, could you please provide the sequence of videos so that it could be listened in some sort of order.
Global teacher. The world is watching your lecturer.
8:24 That was my reaction when I first saw that too.
Good Gaming
Wonderful presentation. Clear and engaging, and a beautiful wrap-up.
You're amazing dude, I wish I had such a math teacher :/
Mr. Woo you're so awesome!!!
Just because its a surd doesn’t mean its irrational, sqrt of prime is irrational but sqrt of perfect squares are perfectly rational...how can he say that the quadratic formula turns irrational into rational then? If the surd is indeed irrational the solution will also be irrational, e.g. 2sqrt(2)+1
Yes, you are completely right. I was thinking the same. It never goes via an irrational number in this example. I know what he was trying to get at (many problems, even for real numbers are easier/possible to solve if you extend to the field of complex numbers), but this wasn't a suitable example.
He is right sqrt(25-24) you find it by looking into it. He is not exactly saying about converting from irrational to rational. The calculation does it in that way. If it is sqrt(a-b) it can produce rational, irrational or complex number. It is the power of mathematical abstraction.
Wish I could go back in time and learn math with a good teacher like Eddie. Enjoying these videos a lot and relearning things from 20-30years ago, but now I am able to understand better what they mean and why they are important
this the type of class you don't want to end
I'm 65 went back to attempt a BSc. I crashed into the complex number, vector, matrices walls twice; having only done general maths at school. Mr Woo, thank you, I am beginning to get it. I will go back to uni and give it another crack.
Can you please explain how sqrt(1) {sqrt(25-24)}is a surd?
I think the idea is that if you split the numbers up within the sqrt you would get irrational numbers. Obviously, you can just solve 25-24 first, however, before that it is a surd.
@@thomasmerkus6445 i know I'm late
In literal mathematical sense, a surd would be a number which never terminates . But i think what you've said is correct
I am in love with the who is asking questions all the time.
Only a teacher that really understands something can be this captivating. Only a teacher that cares about fostering a real understanding of mathematics and cares about expressing its immense beauty can make learning so easy. There was a point in my life not half a year ago where I absolutely hated math and now I realize why. When I was younger in grade school it was my absolute favourite subject, but around middle and high school where more advanced and seemingly obscure concepts were introduced and curious that I am ever questioned their validity I was always struck down, always told that thats just the way it is. I absolutely lost it, I hated it. Mathematics became something that made me disgusted with school. How can they be teaching us stuff that they themselves absolutely do not understand. The hypocrisy was unbelievable. I switched my whole academic career in favour of english and social sciences as in those subjects questioning things and gaining intuition is validated, its expected and important. We need to rethink our education model. No more pushing people along without mastery, you're just dooming kids to a life of obeying orders without needing understanding. You're teaching them to be mindless. You are in fact the anti-education!!!! Teaching takes commitment and passion and if you dont have that stop ruining peoples lives and find your place in society, that isnt a detriment but a benefit to society as a whole!!
😃
Hamza B what was tge need
I like him. He is passionate in what he is doing!
0:35 - next level teachers use 7-pointed stars instead of 5
Actually most of the application is in Engineering. Complex number used as tools to deal with frequency & phase. It turns out the property of complex number is great to deal with "rotation" or "repetition".
ITS TIME FOR D-D-D-D-DUUEEEEL
Thibaul Ryer go black magician
Let me draw my card
harsh baliyan It’s a Blue Eyes Whi- Oh, Kuriboh.
My thoughts exactly!
A good magician never reveals his secrets; looks like the same can be said of 16th century Italian Math geeks lol
Love your channel so much! Thank you for helping me better understand mathematics. 🙂
I can't believe I am watching Maths video in Summer
Same here
I'm French and passing exams, and I really fond of of how you teach mathematics. Thank you, from French students
I missed the 2 year mark of the day this video was recorded
And THAT is exactly why i think it would be crucial to teach "History of Sciences" together with "Sciences".
Some students hates sciences, maths, or history (or all of them, then the problem is probably elsewhere).
But when you combine something you like with something you don't, you make the combination likable.
If you disagree, considere this: Kids who don't like fruits but like chocolate doesn't suddenly consider a chocolate/fruit dessert wasted. They just start to appreciate the fruit beneath the chocolate.
Well, having a great chef helps.
And mister Woo definitely is a chef of mathematics.
jesus imagine having this absolute legend as a teacher
I’m sure He has. He created him.
I graduated with a degree in mathematics with a pseudo understanding of complex numbers and limits. Mastery isn’t necessary in the current academic environment so you can get by areas like this by doing well in other areas.
I can't stop watching these videos. Maybe I'm secretly hoping to become an advanced mathematician through osmosis...
If you wish to be a great mathematician, check out this playlist on Complex numbers:
m.ua-cam.com/video/ulDyfzFZCcA/v-deo.html
Or this one, if you prefer colorful animation:
m.ua-cam.com/play/PLiaHhY2iBX9g6KIvZ_703G3KJXapKkNaF.html
Did i really just watch a 13 minute math class on my own 💀
"Why? WHY??" - my reaction everytime I do math
The answer is "ROCKETS". No space without math.
@@razvanmeze3720 You can add "Electricity" to the answer. There are lots of applications where math is essential.
I have a mostly logic brain, so I don't really get human Sciences . But I do recognize their importance in culture.
You’re a great teacher…. Keep it going (:
I don't understand why he says the Square Root of 1 is a surd. The Square Root of 1 is obviously not a surd. No? For clarity where he has Sq Root (25-24)
Probably thinking about Sq Root of - 24
The term "surd" refers to the expression, not the result. That is, a surd is "the nth root of p". In this case the expression "the 2nd (square) root of 1", which resolves to the integers 1 and -1. Other surds, such as the square root of 2, don't resolve to integers, they are irrational and usually remain expressed in their surd form to avoid approximation.
@@howeyaus Are you saying that sqrt of 25-24 is a surd, while sqrt of 1 is not?
This video illustrates my understanding of surds:
ua-cam.com/video/568dGLFTom8/v-deo.html
especially around 1:00
meaning, IMO, square root of 1 are not surds - because the roots (=solutions) are integers and, raised to the power of 2, return the radicand.
Buffled really.
Great teacher!
How is the square root of one a "surd"?
A surd is just the root of a number. And 1 is a number
@@akshat8429 No, a surd is a root that can not be simplified to a rational number. The square root of 1 can be simplified. This teacher is using either wrong, or using some unconventional terminology.
Man....best Teacher EVER!:)
Why am I binging on math classes? I was done with school 6 years ago
Sis out there asking the questions ive in my mind is a real one