@@davidorama6690lol, power of maths , either it will make u suicide or you will be young forever 😂😂to
@lakshay10thb744 ай бұрын
its your moms support
@pixelpostrandy1st3 ай бұрын
Asians don't age bruh 💀💀
@Uniquecapture7 ай бұрын
Eddie, you were born to be a maths teacher. I really hope your students realise how lucky they are to have you.
@cue49937 ай бұрын
🤓🤓🤓🤓🖕☝☝☝☝☝
@mehulsaxena62224 ай бұрын
one of my friends is actually one of his student and i am jealous as hell
@deldridg7 ай бұрын
Lovely stuff and brings me back. I had a passionate HSC 4 Unit maths teacher back in the 80s in regional Australia. Sometimes we used to distract him by mentioning flying and he'd regale us with tall and true tales! In yr 12, he really passed on some golden wisdom, which was very helpful to me with many years of pure and applied maths at uni the following years. You are giving wings to your students Eddie! Cheers - David
@lyingcat90227 ай бұрын
In Aviation an aircraft’s stability characteristics can be represented by a graph with this shape. The Cessna 172 has this desirable characteristic:) where X is the airplane’s pitch attitude and Y being time. If trimmed for level flight and you pull back abruptly on the yoke and let go, the plane will pitch back down negative and back positive for a short time, it will oscillate but quickly stabilize back to level flight. This is called a Positive Dynamic Stability. The opposite of this graph is called a Negative Dynamic Stability and a plane with this characteristic we’re in level flight and you let go of the pitch control, even a small amount of turbulence will cause the plane to oscillate, pitching up and down more and more until eventually the wing would stall. I believe fighter jets are dynamically unstable due to the design trade off making it wayyy more maneuverable. But this would require constant control adjustments to maintain a stable pitch attitude… or roll and yaw for that matter. This is way the flight computer adjusts the control surfaces to maintain stability. The pilot’s controls actually tells the computer what they want the plane to do and the computer makes it happen.
@isaacmalik37147 ай бұрын
that's so cool
@DefinitelyNotDumar7 ай бұрын
Understood, pilot.
@tobiaseaton2007 ай бұрын
not the age demographic at all for this (22years old) but love his videos. amazing communication and teaching. it's fun watching easy concepts get explained by a pro. cheers!
@rico_16177 ай бұрын
so true lol, I'm learning about advanced calculus in uni rn but I still watch his videos sometimes
@pabloa22287 ай бұрын
What’s cool is this graph (decaying/dampening sine wave) is found in nature.
@nickyang11437 ай бұрын
Cool, eg?
@Ambivalent_soul7 ай бұрын
@@nickyang1143there are other constants as you make your model more sophisticated and describe a system better and it’s technically phase shifted because the convention is cosine but lightly damped harmonic motion is an example. If you take a pendulum and model air resistance, the displacement over time oscillates back and forth(the cosine or sine aspect) but the magnitude of displacement decreases over time and approaches 0(e^-x aspect)
@reefu7 ай бұрын
@@Ambivalent_soul That’s only true for low angles, otherwise governing differential equation is non-linear, and very complicated.
@WerewolfLord7 ай бұрын
I find it important to tell students this, as an answer to the "when am I ever going to use this in real life" question.
@Quarker6 ай бұрын
Did extension maths more than a decade ago and barely any of this makes sense anymore 😢 Eddie is a legend tho and every student deserves a teacher with his passion and enthusiasm for education
@matmagix38456 ай бұрын
Back in the day, I remember plotting these types of functions (products and quotients, composition of various elementary functions) in Extension II and my teacher had an approach that did not typically involve calculus because the graph could technically be resolved "by inspection" and a choice table of function values ("anything times 1 is itself", "anything times -1 is negative itself", "anything times 0 is 0", dividing by a very large number tends to 0, and dividing by a very small number tends to infinity")
@Radictor447 ай бұрын
I knew very little of this but I still managed to guess/prempt somethings just because of the clear explanation.
@Plouminho6 ай бұрын
Eddie your students are lucky you have you. Bravo!
@jesusbermudez67757 ай бұрын
It's a wonderful graph, and more impressive to me who is on his sixties is that the mobile can draw it for me.
@dneary7 ай бұрын
I like a trick - multiplying by \sqrt{2}/\sqrt{2} you can turn the trigonometric part into \sqrt{2}cos(x+\pi/4) - which is equal to zero when x+\pi/4 = \pi/2 or 3\pi/2 or x = \pi/4 or 5\pi/4
@adandap7 ай бұрын
I think one nuance not captured here is that the curve is tangent to e^(-x) at pi/2 and to - e^(-x) at 3 pi/2. I'm not sure if the examiners wanted that.
@theneekofficial88297 ай бұрын
I remember seeing this question whilst I was running out of time. I looked at and was instantly like "bro this graph is gonna take too long and be way too convulated to understand at a first glance. Just leave it and maybe come back"... I did not have enough time to come back... Edit: Nevermind, maybe I did do this question. I vaguely remember it but I also remember one that looked similar where we had to graph it towards the end of the test so I might be getting them confused. Maybe I just didnt do the graphing portion and just did the S.P version as I felt more confident doing that part and viewed it as easier.
@KenzoTenmaM6 ай бұрын
I don’t even do maths but this was oddly therapeutic.
@ChiragSonne7 ай бұрын
@Eddie Woo So, I have an exam on Thursday it is actually a GED exam!
@MuhammadAnas_Official4 ай бұрын
I have a question about the area of a triangle "If I gave 3 coordinates on the certesian plane and told you to find the area of the triangle made by this and I also told you that you can't use linear algebra or trigonometry to find the area." How would you solve that
@KevinAPamwar7 ай бұрын
Nice.... Maxima & Minima of a function F'(x) =0 for Maxima & Minima U can also plot for F(x) for x = pi/2 and x = 3*pi/2
@MathsMadeSimple1017 ай бұрын
Knock knock. Who's there? Mr. Mr woo?
@mathematicalmuscleman6 ай бұрын
Wait till you get to University Applied Mathematics and start learning: Laplace Transforms, Z Transforms, Fourier Transforms, Mellin Transforms, Henkel Transforms in the context of solving partial differential equations and then the fun begins.
@bigjukebox33707 ай бұрын
I actually have another solution with the unit circle. When rearranging the equation, you can stop at sin(x) = cos(x), because with the unit circle it becomes apparent, that this is only the case at these two angles (top right and bottom left). No need to draw the tangient graph, just the unit circle, which i think is much more intuitive :) The rest then follows exactly as you did
@Sir_Isaac_Newton_7 ай бұрын
Imagine using the baby unit circle instead of the manly tan(x) graph.
@politics1027 ай бұрын
much neater
@thespacedingoking7 ай бұрын
I mean maths is maths. as long as the numbers add up, you're good. oh also we learnt in grade 8, as just a memorised value, like times tables, trig values for 0, pi/6, pi/4,pi/3 and pi/2 plus everything that comes with those ref angles, so imagine drawing a tangent graph at all if you're gonna call the unit circle method a baby. all you need are your memorised, clearly superior exact values!@@Sir_Isaac_Newton_
@gigasheeesh9787 ай бұрын
i Definitely drew that graph wrong, i drew a sin wave with the graph touching zero at 0 and 2pi (i also use my calculator to guess for what values of x (sinx=cosx) instead of simplifying to tanx=1, i still got the same values just took me anouther 5 minutes to figure out
@24carrot_7 ай бұрын
Legit same I just knew where sin x = cos x intercepts and drew it onto the graph lol
@theneekofficial88297 ай бұрын
i also did the guess and check thing im pretty sure lmaoo
@globalcitizen9957 ай бұрын
The old right angled triangle of unit length around the right angle and thus where the hypotenuse is in length the square root of 2 and the angle 45 degrees hence both sine and cosine give 1/root 2@@theneekofficial8829
@TechnikMeister27 ай бұрын
When we did this in my HSC in 1968, there were no calculators and no formula sheets allowed....not in maths nor in physics. You had to show the full workings on a split page and all the formulas...about 40 of them... you had to remember and understand how they were derived.
@reefu7 ай бұрын
Ok?
@ManishaPatel-sl8dp7 ай бұрын
Thats how it still is in almost all asian countries
@ti84satact127 ай бұрын
I’d say there are benefits but i’d also argue that some of the time you used might have been better spent!
@j.pesquera7 ай бұрын
@@ti84satact12 I'd highly disagree, memorizing and critically thinking to solve the problems without any support increases your ability to do said problem solving and promotes actually learning the material to where it never leaves you and stays with you for decades. I'm a high school math teacher and I promote the use of pencil and paper calculations and problem solving.
@ti84satact127 ай бұрын
@@j.pesquera I’m a math teacher also and I believe there are things that you can do/see more easily with technology than you can with pencil and paper! Btw technology doesn’t have to interfere with critical thinking!
@TheFinalMinutes7 ай бұрын
What was the question again please sir? My brain melted about 45 seconds in. I just don't get equations and never will - my brain doesn't work that way. Good on those of you who can understand this! (I'm jealous in the nicest possible way).
@terryjohinke80657 ай бұрын
Lucky students.
@rainbow_loom_mustachedaisy32387 ай бұрын
What happened to the numbers in maths
@gt86drift7 ай бұрын
This is a damped harmonic response found in control system engineering
@markkennedy97677 ай бұрын
I'm gonna finish me HSC this avo, then go to uni. Fair dinkum.
@ilayda_the_moon7 ай бұрын
THANK U I FAILED
@TheEvdoggy6 ай бұрын
I think the term "stationary points" is what threw so many of the study dweebs.
@rubenskariah8227Ай бұрын
why is it 5π/4 and not 9π/4?
@HaziqShake7 ай бұрын
From the sound, the class seems empty with about 4-5 students present and it's kinda sad seeing that
@BoloJolo6 ай бұрын
From the way he keeps saying "students will be familiar with..." I think this isn't a class with students, but a teaching workshop with other teachers demonstrating how to break this down on a more understandable level.
@HaziqShake6 ай бұрын
@@BoloJolo true but (I think) I hear students in the back ground
@danielleu28997 ай бұрын
Your the best teacher ever
@yusufmia7 ай бұрын
What App is he using on his phone ?
@danielbrown94607 ай бұрын
Desmos
@ViperSluggHazel7 ай бұрын
Is there any trick or tips to solve 40 to the power 3/4,81 to the power 5/4, without the use of calculator
@armstrongtixid68737 ай бұрын
40^0.75 isn't really a nice value. You can rewrite as (2^3*5)^(3/4) = 2^(9/4)*5(3/4), if you try to approximate it you can get 2^2*5*2^(1/4)/5^(1/4). Writing 2^(1/4) as approx 1.19 which is close to 1.2 (sqrt 2 approx 1.414 and 1.2^2 = 1.44 which is close) and 5^(1/4) as approx 1.5 (1.5^2 = 2.25, 2.25^2 = 5.0625 which is close to 5), so you get 2^2*5*1.2/1.5 = 2^2*5*0.8=2^2*4 = 16. The actual value is 15.905 so that's pretty close. 81^1.25 or 81^(5/4): 81^(1/4) = 3 so 81^(5/4) = 3^5 = 243
@ViperSluggHazel7 ай бұрын
@@armstrongtixid6873 thanks a lot for the help
@CoreDump077 ай бұрын
quick maths@@armstrongtixid6873
@RexxSchneider7 ай бұрын
@@armstrongtixid6873 That's a good method for the approximation, although if I'm doing it in my head, I would think of 2^(9/4) * 5^(3/4) as 4*2^(1/4) * 5/5^(1/4) = 20 * 2^(1/4) / 5^(1/4) as it's easier for me to hold the 20 in my head while I work out 2^(1/4) / 5^(1/4). That can be done either as you did (i.e. 1.2/1.5 = 0.8) or by taking the fourth root of 0.4, which I'd do by considering the square root of 40 = 6.4 roughly, and then the square root of 64 = 8, so I get 0.4^(1/4) = 0.8 approximately. So 20 * 0.8 = 16. I guess everybody has their own tricks and preferred methods. I memorised a lot of square roots, so that's the easiest route for me, mentally.
@footykid986 ай бұрын
Holy fuck I do not miss maths exams
@vepticy70047 ай бұрын
how do you know that pi/4 and 5pi/4 are the local max/min?
@lilaboc20907 ай бұрын
a feature of max/min points are that their gradient = 0 (stationary points).
@vepticy70047 ай бұрын
@@lilaboc2090 oh ok
@-ShootTheGlass-7 ай бұрын
HSC exam: this question is worth 2 marks. Show all working. 😂😂
@SparshAgarwa5737 ай бұрын
💖💖
@zmk53747 ай бұрын
I don't know how I got here, and just seeing it gave me immeasurable anxiety. Your presentation somehow managed to get me through it though, and that's major lmao.
@ShiojSharma7 ай бұрын
Sir please try JEE Advanced mathematics problems.
@IAmWood_7 ай бұрын
He sticks to the Australian NSW content and very rarely (and I mean very rarely) does he do something from outside of the curriculum he teaches. So there is a high chance he will never do any JEE problems.
@daily4067 ай бұрын
I was waiting for him to put one of his hand in the pants pocket.
@bigol71697 ай бұрын
He's pretty swag
@thejfcad90207 ай бұрын
This is highschool maths right?
@sunbear23407 ай бұрын
Yeah year 12
@ap51416 ай бұрын
im 24 and staring at this in shock horror because i actually used to be able to do this....
@jnfjnf-74707 ай бұрын
Third one is me
@mathsikho26 ай бұрын
Ok but why using this rule
@Jono41747 ай бұрын
“You are given the function y=e^-x sinx” 😒 You have also not been taught Laplace transforms 😱
@jarrydhayne9177 ай бұрын
mystery mark here i come
@arid63467 ай бұрын
your not alone pal
@bigol71697 ай бұрын
"🔴"
@mazedabari64385 ай бұрын
Lol even Australia has HSC examination
@asifiqbal27767 ай бұрын
12:31 What does the girl say here, in response to which comment Professor Woo graphs the shape on his phone?
@pratham28047 ай бұрын
I think she said can we put it into Desmos ( A graphing software)
@asifiqbal27767 ай бұрын
@@pratham2804 Thanks
@bigol71697 ай бұрын
She said "I'm gay"
@asifiqbal27767 ай бұрын
@@bigol7169 and you could de-code that
@ChiragSonne7 ай бұрын
@@bigol7169 😂😂😂😂😂😂😂😂🤣🤣🤣🤣🤣🤣🤣🤣🤣😅😅😅😅😅😅😅😅😅😅😅😅
@samashserv55587 ай бұрын
How is the class so silent?
@ssmgt31787 ай бұрын
because there is no class. I think hes just looking around as if theres a class as a public speaking strategy
@samashserv55587 ай бұрын
@@ssmgt3178 No there is. If u watch the whole video you'll see sometimes they are speaking
@CroatiansR67 ай бұрын
He teaches at University new south Wales now. He is discussing with a student teacher I believe as he refers to her as miss
@kyal7 ай бұрын
It sounds like he’s teaching to a teacher
@RexxSchneider7 ай бұрын
@@kyal I hope not, otherwise he's really patronising them. What sort of maths student needs to have explained that ab=0 only happens when a=0 or b=0? Or that e^(-x) is never 0?
@snuggles037 ай бұрын
From start to end, I understood zero
@Balkrishnaranade7 ай бұрын
First like first comment ❤️
@SUDUKU227 ай бұрын
hi
@williamburke57937 ай бұрын
Any1 know how to get all the answers for math, can't sleep if I don't know 😥 (standard 2 btw, seems like we got away with a way easier test than u advanced ppl) 👀
@ssmoythe38687 ай бұрын
It’s online now on bored of studies
@ithink_itsoscar7 ай бұрын
@@ssmoythe3868bored
@ProphetTLK7 ай бұрын
This is easy, wait until you kids go to university! Gets harder. You gotta do way more advanced things
@Hairycabbbage7 ай бұрын
some say he never fixed it...
@paulw1767 ай бұрын
this guy gives me the heebeejeebies.
@shawnjiang73926 ай бұрын
Eddie is a great teacher, but honestly, this question was not well explained. 1stly, the relative concepts need to be well introduced; 2ndly, the testing points should be identidied clearly, so that students would know where is the direction to fight for; 3rdly, when to the calculation part, it shouldn't be calulated direclty, there are many useful formaulors for people to use. Last but not least, every problem explaination should be concluded with the recap of skills gain, not just let it go.
@timwilliams50316 ай бұрын
Well duh…….
@qulaeygaming52027 ай бұрын
Bruh 2u kids got it so easy 😭😭😭
@RexxSchneider7 ай бұрын
I worry about a maths lecturer who thinks that a damped oscillation is a "weird shape". Maybe he needs to get out into the real world where damped oscillations are commonplace?
@izaakvw7 ай бұрын
He's a high school mathematics teacher. Not a uni lecturer or college professor. The NSW HSC course only looks at functions in seperate not products of two functions, this question is to test the high achievers that have a deeper understanding of functions.
@RexxSchneider7 ай бұрын
@@izaakvw So he's teaching a course that is examined by questions that are not on the syllabus? NSW needs to get a grip on what's being taught in those schools.
@izaakvw7 ай бұрын
@@RexxSchneider You are taught how to differentiate and find the turning points using the product rule but you have to know how to sketch this function. But subbing values in your calculator helps with that.
@RexxSchneider7 ай бұрын
@@izaakvw In any applied maths course at this level, students should be able to recognise expressions representing damped harmonic motion. And there's absolutely no reason why a maths teacher should miss an opportunity to reinforce that. It's not "weird".
@guicabo85097 ай бұрын
@@RexxSchneider go to sleep bro
@mattfinish-kg3bl7 ай бұрын
A rather tedious plotting exercise for an exam, waste of time really once you've solved the first part. But this is typical schooling, to turn everything into pointless grunt work. The point is to prepare you for your life in the commercial sector, as a mindless tool with no thoughts or desires of your own. And the guy is so enthusiastic about it, that's what gets me, as if he's solving world hunger. What a joke.
@-ShootTheGlass-7 ай бұрын
He’s doing his job to the best of his ability. Completely foreign to you? 😂
@rank19996 ай бұрын
This is easy for Indian guy
@BhavishyaSagar2 ай бұрын
Yes bro agreed we learn this in 12 standard it's easy😂