These videos consistently distract me from my actual math homework because none of my teachers tell me WHY math works. They just want me to do the problems. I always want to know HOW mathematicians came up with this stuff and why it works!
Nofxthepirate Math is the subject of the physical. It allows us to understand the workings of this world. Calculus, invented by Isaac Newton (And Leibniz) was what aided him in the understanding of physical, such as his famous and often abused F = ma. A pretty complex equation in itself (isn’t it physics? Yes but math and physics are closely related. One cannot happen without the other), it allows us to understand how the world works and how things work to put it simply. Elementary math like these teaches us the fundamentals to understand the workings of the world. It may not make sense now when you don’t see the full picture, but it is essential. Enjoy!
His teaching methods are very simple but the main thing is that it all comes from his heart instead of simply his desire to earn money unlike most teachers today. We need more teachers like you, sir. We LOVE YOU!
How much do you think teachers earn... Not enough to do a hard and stressful job just to earn the money. What I do suspect though, is that some might do it out of a desire for a little bit of power over students.
I usually come across this guy's videos while studying for my exam so I watch the videos partly even if they aren't related to my study topic. This time, I was so excited to see one of his videos and my topic match so I watched the video. I can say that I had seriously entered flow and I was enjoying it so much that I could've gone on for hours without a sign of exhaustion. Eddie sir, I simply adore the way you teach and hats off to you☺️
Im in the middle maths class at my school because I transferred here at the beginning of the year and we aren't learning surds. That privilege is reserved for the top class. So I'm here to prove a point to my teacher that Im actually serious about my education and the things I learn even if she isn't.
I'm 35 today, have a Bachelor's in Mechanical Engineering from quite a reputable university, and I just discovered why "irrational numbers" are named as such😞
Love how you are not telling us to do this equation and to show us how to do it but actually describe it and let us know the why part of the question. This even as a year 10 student has cleared my head a bit.
A question for Mr Woo, I'd like to hear his way of explaining : How do they know it is actually irrational and doesn't reoccur after like a billion decimal places. How do you proove it's irrationality?
Look up on youtube "proving the square root of 2 is irrational" you can do it because you can prove that it can't be written as a fraction. Then you just assume the same for many other roots.
You write down sqrt(2)=p/q, you tell that there's a rational number p/q equal to sqrt(2) and this is the hypothesis. Then you proove it by absurd, the equivalence can't be resolved because of even and odd number rules. That's it
There are two parts to answering this; The first is that if a decimal does repeat, it can be fairly easily shown that it must be expressable as the ratio of two integers and vice versa. This is actually part of the school mathematics curriculum. The second part is showing that the square root of any integer that isn't a perfect square, can't be expressed as the ratio of two integers. The easiest way to see this by considering a possible lowest form ratio a/b and putting a and b in terms of their prime factors. For a/b to be in lowest form there are no common primes between a and b. Thus when a/b is squared there are still no common primes and the ratio can never cancel to an integer.
Hello sir, I just browsing in order to get some knowledge over surds cause I have an exam😁😁😁. Well now I can right the exam and you're really an awesome teacher I've ever seen in my life.. You're friendly and making the concept getting on to the mind...
I did not see this teacher reply to any comments, so I don't know is he reads them or not, but I would like to thank him for the way he interacts with his students to get them interested in the lesson. Good on you Sir.
What about continued fractions representation of square roots? It might be interesting to show them that as a parallel of your ratio examples. (Someone might have already asked about it in a previous comment, I have read some but not found one about it so far)
I'm so amused that he said it's not "irrational numbers" like "you crazy man" immediately after comparing irrational numbers to a crazy jazz musician lol.
@@elimgarak7090 absolutely. You can sort of think of a fraction as a ratio of two numbers, and an irrational number is one that cannot be expressed as a fraction.
Great video, as always....but remember that although all surds are irrational, not all irrational are surds. "pi" and "e" are irrational but not surds. To be a surd we have to be inside a root....
@@flamephlegm I've noticed several differences in his notation compared to what I learned in Germany, e.g. in other videos he puts arrowheads on both sides of a coordinate system axis. I learned that you should always only mark the positive end of the axis. It's interesting that mathematics, which is often considered to be the universal language of science and engineering, can be written in sometimes ambiguous ways. Dot-above-something could also mean "derive with regards to time", dx(t) / dt.
One thing, you said ''not like 'you're being irrational you crazy man''' aren't irrational numbers the exact reason why we use the word irrational in that context?
My teachers have literally no idea how to teach this year. I'm failing extension maths because of their inability to explain anything! My maths teacher literally writes the rules and an example on the board while we copy them down in silence. At least this will be helpful when my school shuts down due to corona! Now that I found theses videos, maybe I won't fail!! Thanks!
Watched video, but still had to google what a surd is. The missing info was that a surd is a _type_ of irrational number formed from the square root of a rational number. It's not just Austrailian for "irrational number".
Why not use the term transcendental number for when a square root does not result in an integer and always results in a transcendental number there are other transcendental numbers of course
There is a way of doing square roots, that don't have perfect square roots, finding the nth tooth, which is like a long division way or the Babylonian method
Love your channel, but to be truly rounded, remember you can revert, but you can't revert back because back is already contained in the definition and to do so is a redundancy
Different analogy for music :P spotify playlist. popsong is one song one, elevator music, is playlist on repeat on given order. Crazy jazz music is random playlist which also takes in spotify suggestions, it never goes to exactly same repeat...
Pi is irrational and can not be written as a fraction. 22÷7 is just an approximation :) (according to my calculator only accurate to the second decimal place, so not a very good approximation)
Surds involve square roots of integers in order to define this. Numbers like pi and e eare beyond this, in terms of how disconnected from ordinary numbers they are. Pi and e classify not only as irrational, but also as transcendental. Surds are part of a classification of irrational numbers called algebraic numbers. Transcendental numbers are numbers that are not algebraic, rational, or integers. Numbers that transcend algebra, as in go beyond algebra. Algebraic numbers are roots of polynomials with a finite number of terms. These are numbers that involve roots, whether square roots, cube roots, or even roots of higher orders. But the point is, there is a finite number of terms in identifying an algebraic number in terms of 4-function math and roots. It takes an infinite number of terms in the polynomial, for a transcendental number to be the root of the polynomial. It is common that these numbers are identified as an infinite series, that give a means of calculating them. That is, a pattern of numbers that when added up, will converge to this value.
5/1 is not the same thing as sqrt(5) though, the same as 2/1 is not the same as sqrt(2). Technically, 5/1 is sqrt(25), and 2/1 is sqrt(4).. kinda.. also have to remember our negatives can be squared. Sqrt(2) / 1 is not the same as 2/1.
Sometimes it is irrational, sometimes it isn't. First look at integers (whole numbers): If you take the square root of a square number (1, 4, 9, 16,...), you get a rational number out. If you take the square root of a non-square number (2, 3, 5, 6,...), you get an irrational number. Now consider fractions: If you take the square root of a "square fraction", e.g. "1/4" or "4/9" you will get a rational number (for our examples the answers will be "1/2" and "2/3"). If you take the square root of a fraction with non-square numbers in it, e.g. "1/3" or "3/4," then you will get an irrational.
