I’m an Italian girl going to last year of hush school and I honestly understand this professor lessons more than my Italian teacher explanation... mind blowing
same! I'm from Mars and my teachers are total noobs. they be talking rambling bull crap and they cant even spik eanglish. this eddy woo guy is mind blowing, and he only has one head! the rekt no0b teachers over here cant even begin the comprehend the amount of knowledge this guy hai even when having TWO heads. amayzzing teacher perhapsssssssssssssssssssssss
@@mitchellul He actually is now! He's Professor of Practice at the University of Sydney's Schoool of Education and Social Care. It's a part-time position, so he is still able to teach high-school maths during the rest of his time.
As a teacher myself on the hunt for lectures during the COVID crisis, I just want to say thank you for clearly having "the narrative" of the topic be so clear. I appreciate the fact that you use the correct conceptual statement involving phrases like "arbitrarily close" when describing this topic. A good description is worth *everything* when introducing limits. Good work!
As a student who has studied calculus a few times (I took a break from study and am now back at uni doing engineering), I often feel like there's one part of the explanation of limits that is often left out, that I felt really helped me to understand them once I finally got it. Before I understood this it always felt like limits were this kind of fake thing that you can never really reach, and it just felt like a kind of approximative hack. But, after studying a semester of real analysis at uni (and a bunch more time trying to actually understand it), I realised that they are actually a real, tangible thing, even though we can't reach them. The thing I was missing that a limit actually has 2 requirements: The first is that you can get arbitrarily close to the number by moving x closer to its target. The second is a little bit harder to describe, but the best description I've been able to come up with is this - however close you want to get to the limit, you can always find a _threshold_ of x after which it will _never get further away again_ as you keep moving x closer to its target.* This second requirement is needed for 2 reasons. One is that, technically, I can get arbitrarily close to any number before the limit if I want. As x->3 I can make x^2 arbitrarily close to 4, or 8, or pi, and I can even hit them exactly; there's infinitely many points that I can get arbitrarily close to. But at some point, as I keep moving x towards 3, it will get further away again. The second reason is waves; wave equations that have a limit will usually pass through the limit multiple times as you increase x, and then get further away again. But eventually, they will reach a point where they never get further away than the distance you choses. This is why ordinary sin waves don't have a limit, for example. When you put both of these 2 requirements together, you will find that a limit always has exactly 1 solution, or none at all (though a function can have 2 limit at one point - one from each direction). *technically, this second requirement is the whole definition, because it implies the first requirement, but I think that as an explanation, it's much clearer when both are made explicit.
In my entire life, both at high school and in University, nobody explained the advantage of function notation over just "y=", and this is the first time I see the clear advantages. This made my day.
I've spent so much time on limits doing a lot of online learning and I only had to watch about up to 1min 40 secs to understand and wrap my head around limits. Eddie Woo is the ultimate goat
Eddie, It is always fun to see how you present Mathematical Ideas! Thank you! The world needs more Mathematics Educators like you! Keep on doing what you do!
@@arjundeshmukhh you can’t do the l’hospital rule because it only works for 0/0 or infinity/infinity form only. So when u input the pin into the equation you get 1^infinity
First of all the classroom is so cozy that any lecture could be listened and...this one was just awesome.
I’m an Italian girl going to last year of hush school and I honestly understand this professor lessons more than my Italian teacher explanation... mind blowing
The same here, im from oman and i cant understand what my teacher say who speaks my native language as much as I understand from this amazing guy
same! I'm from Mars and my teachers are total noobs. they be talking rambling bull crap and they cant even spik eanglish. this eddy woo guy is mind blowing, and he only has one head! the rekt no0b teachers over here cant even begin the comprehend the amount of knowledge this guy hai even when having TWO heads. amayzzing teacher perhapsssssssssssssssssssssss
@@TheMartian11 😂😂😂
He is a high school maths teacher in Australia. he is very good. I don't think he is a professor though
@@mitchellul He actually is now! He's Professor of Practice at the University of Sydney's Schoool of Education and Social Care. It's a part-time position, so he is still able to teach high-school maths during the rest of his time.
As a teacher myself on the hunt for lectures during the COVID crisis, I just want to say thank you for clearly having "the narrative" of the topic be so clear. I appreciate the fact that you use the correct conceptual statement involving phrases like "arbitrarily close" when describing this topic. A good description is worth *everything* when introducing limits. Good work!
As a student who has studied calculus a few times (I took a break from study and am now back at uni doing engineering), I often feel like there's one part of the explanation of limits that is often left out, that I felt really helped me to understand them once I finally got it. Before I understood this it always felt like limits were this kind of fake thing that you can never really reach, and it just felt like a kind of approximative hack. But, after studying a semester of real analysis at uni (and a bunch more time trying to actually understand it), I realised that they are actually a real, tangible thing, even though we can't reach them.
The thing I was missing that a limit actually has 2 requirements:
The first is that you can get arbitrarily close to the number by moving x closer to its target. The second is a little bit harder to describe, but the best description I've been able to come up with is this - however close you want to get to the limit, you can always find a _threshold_ of x after which it will _never get further away again_ as you keep moving x closer to its target.*
This second requirement is needed for 2 reasons.
One is that, technically, I can get arbitrarily close to any number before the limit if I want. As x->3 I can make x^2 arbitrarily close to 4, or 8, or pi, and I can even hit them exactly; there's infinitely many points that I can get arbitrarily close to. But at some point, as I keep moving x towards 3, it will get further away again.
The second reason is waves; wave equations that have a limit will usually pass through the limit multiple times as you increase x, and then get further away again. But eventually, they will reach a point where they never get further away than the distance you choses. This is why ordinary sin waves don't have a limit, for example.
When you put both of these 2 requirements together, you will find that a limit always has exactly 1 solution, or none at all (though a function can have 2 limit at one point - one from each direction).
*technically, this second requirement is the whole definition, because it implies the first requirement, but I think that as an explanation, it's much clearer when both are made explicit.
In my entire life, both at high school and in University, nobody explained the advantage of function notation over just "y=", and this is the first time I see the clear advantages. This made my day.
I'm so thankful for all lessons you have been providing for years now.
"you will get close but never reach it" sounds like perfection to me
I've spent so much time on limits doing a lot of online learning and I only had to watch about up to 1min 40 secs to understand and wrap my head around limits. Eddie Woo is the ultimate goat
Eddie,
It is always fun to see how you present Mathematical Ideas! Thank you! The world needs more Mathematics Educators like you!
Keep on doing what you do!
my teacher didn’t bother fully explaining these concepts and just threw the worksheets at us :,( thank you for posting this, it helps a lot!!
U r such a great sir ...from india
No one:
Me:*Thinking how i spent a whole month trying to understand this yet all i had to to do was watch a 9 minute video*
I freaking love this guy
You are great sir
Eddie youre a star
Superb teaching eddie!!!
Thank you sir .....🙏
Mr. Woo is no doubt a brilliant teacher. But he has a relatively easy job - the majority of the students get him all the time.
that's exactly *why* he's such a great teacher
Hey Eddie!
Are these video's HSC revision videos?
👍👍👍
Real big help
This must be an art room as well as a maths room.
can you help me for this problem about limits ((sec(x))^2)^(3(cot(x))^2-2) lim x-->pi thank you
use Lhospital rule
@@arjundeshmukhh you can’t do the l’hospital rule because it only works for 0/0 or infinity/infinity form only. So when u input the pin into the equation you get 1^infinity
You can use e^lt x->a g(x) (f(x)-1) formula for the lt x->a f(x)^g(x) form
You need to write with larger letters and numerals.
It's too difficult to see your small text.
ily
Make more lenght video
When is this usually covered (in Australia)?
Yr 11, Preliminary Mathematics course
I wanna see the class.......!!!!!!
I'm Brazilian and dude my teachers sucks.
That is not the formal definition of a limit