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Daniel Royals
Приєднався 27 лют 2016
Maths teacher.
If you are after any resources/notes you see in my videos send me an email or comment.
danieljroyals@gmail.com
royad@tenison.catholic.edu.au
If you are after any resources/notes you see in my videos send me an email or comment.
danieljroyals@gmail.com
royad@tenison.catholic.edu.au
Відео
SAT 2/3 Polynomials, Functions and Complex Numbers Recap
Переглядів 19Місяць тому
SAT 2/3 Polynomials, Functions and Complex Numbers Recap
9E.2 Trigonometric Parameterisation with elipses
Переглядів 13Місяць тому
9E.2 Trigonometric Parameterisation with elipses
9C Pairs of Non- Uniformly Varying quantities
Переглядів 6Місяць тому
9C Pairs of Non- Uniformly Varying quantities
9F.2 / F.3 testing claims for confidence intervals for Proportions
Переглядів 37Місяць тому
9F.2 / F.3 testing claims for confidence intervals for Proportions
Metaphysics informs Ethics - Ignorance is immoral
Переглядів 56Місяць тому
Metaphysics informs Ethics - Ignorance is immoral
9F.1 Confidence Intervals for sample proportions
Переглядів 31Місяць тому
9F.1 Confidence Intervals for sample proportions
9D.2 / 9D.3 Finding a sample size and testing claims for Confidence Intervals of Means
Переглядів 272 місяці тому
9D.2 / 9D.3 Finding a sample size and testing claims for Confidence Intervals of Means
quality overview.
Thank you for the video. I can finally "understand" the concept and start practicing more! very helpful explaination
ethics mean nothing when you dont feel
Perhaps, but I think ethics is more than feelings. A sadist feels happy when inflicting pain on another, but this is not ethical.
I disagree
Sir if u wanna make that first example look a little simpler u could perhaps start with dy/dx = (2x^2)/y instead of multiplying coz then the integration and simplifying is simpler and it shows the idea of separable de's But love the video keep em coming :D Edit: Just saw ur third example - perhaps that should be the first?
Yeah good call mate completely agree haha
NICE
awesome!
thank you daniel
In your last example do your students query that you have a discontinuous integrand (x = 1) and accordingly it is an improper integral? (I appreciate that it is convergent and the answer is correct.) I have an old Casio 9860 and a numworks, which result either maths error or undefined. My TI-84 Plus CE gives 1.57... I don't know if the new Casios have addressed this.
shut up nerd
you need a better marker. It's too faint to read.
Yep good call. A proper film crew, and an audience that laughs at my jokes would be good too :) If you set the quality to HD and zoom in on it you should be able to make it out.
Thank you for such an informational and inspiring video
thank you daniel
Sir i deem this cameraman sub-par
appreciate Sir
Just a thought - divide both sides by e in the first line.
Definitely - an elegant solution
Good explanations sir, takes me back to the days of 2022
Thanks Flynnos expert camera man. How's uni going? Enjoying Adelaide life?
@@danieljohnroyals9576 never been better sir, having an amazing year studying maths and only maths xD How are you going these days?
@@bobfred4410 love to hear it mate sounds very exciting. School is going well and family too. Having another baby due tomorrow :D
@@DanielRoyals ooo congratulations sir! You're gonna have an army of children to teach your mathematical ways!
Hi Daniel. I am teacher working in Vanuatu in the Pacific region. We are offering the kids here opportunity to the SACE. We are a small school. This is my first time teaching the Stage 2 SACE Methods course. You mentioned you may be able to share the booklet you are using with your class. I have limited resources as we are new to SACE. I would be really grateful if I could get a copy? THanks, Ed Doyle
Hi Ed - very happy to share. Can you send me an email at royad@tenison.catholic.edu.au and I'll send the booklet and other resources for you. Happy to help you however I can.
You a real one Daniel. Thank you.
Explanation involving only the properties of cis, z + 1 = cisθ + cis0 = cis(θ/2)[cis(θ/2) + cis(-θ/2)] = 2cos(θ/2)cis(θ/2). |z + 1| = 2cos(θ/2), Arg(z +1) = θ/2.
A clever solution. Well done!
@@DanielRoyals That is what I like about mathematics, there are many ways to skin a GOAT. Similarly, z - 1 = 2isin(θ/2)cis(θ/2) = 2sin(θ/2)cis(π/2)cis(θ/2) = 2sin(θ/2)cis(θ/2 + π/2). Another application: the nth roots of unity. e.g. z⁵ - 1 = 0 cis(5θ) - cis0 = cis(5θ/2)[cis(5θ/2) - cis(-5θ/2)] = 2isin(5θ/2)cis(5θ/2) = 0 ∴ sin(5θ/2) = 0, i ≠ 0, cis(5θ/2) ≠ 0 5θ/2 = kπ θ = 2kπ/5 z = cis(2kπ/5), k = -2, -1, 0, 1 , 2
🙈 *Promo sm*
great video! keep it up!
Mr Royals --> Mr Virgo
Virgo could never
I just looked up the hot-crazy scale and now i got math....i thought this was gunna be funny
Lost the hair sir! Where did it all go?? Lookin sharp as always :)
It was inevitable haha
W video sir
Key Concepts 1a - 0:28 1c - 0:58 1e - 2:23 1f - 4:53 2c - 7:30 4a - 10:55 4b - 14:43 4c - 15:24 5a - 19:19 5d - 19:43 5g - 20:20 5j - 20:38 5m - 21:10 6c - 23:03 6f - 23:50 6i - 25:05 6l - 27:24 6o - 28:44 7a - 30:10 7e - 31:10 8e - 31:58 8g - 32:53 9a - 34:51 9b - 38:55 9c - 42:13 10a - 45:55 10f - 47:48 11a - 50:54 11b -51:15 11c - 52:00 11d - 52:46 12a - 55:30 12b - 57:22 13 - 58:40 14 - 1:08:07 15a - 1:13:49 16a - 1:15:40 16c - 1:18:36 17a- 1:21:16 17c - 1:25:13 18a - 1:28:20 18c - 1:29:04 18e - 1:29:44 19 - 1:30:45 20 - 1:32:22 21a - 1:36:07 21b - 1:38:10 21c - 1:39:55 22 - 1:41:52 23a - 1:44:30 23c - 1:45:26 23e - 1:46:33 23g - 1:47:19 23i - 1:48:14 23k - 1:49:37 24b - 1:50:25 24d - 1:51:00 24f - 1:51:48 24h - 1:52:37 24j - 1:54:10 24l - 1:56:10 Constructing Functions Using Geometry 1 - 1:57:50 2a - 2:01:10 2f - 2:01:47 3 - 2:04:03 4a -2:08:32 4c - 2:10:13 5b - 2:13:35 6a - 2:18:10 7a - 2:26:06 7c - 2:28:32 8 - 2:32:12 Logarithms 1 - 2:35:15 2 - 2:36:22 3 - 2;40:36 4 - 2:42:12 5 - 2:45:30 6 - 2:48:20 7 - 2:54:22 8 - 2:56:08 9 - 2:57:47 10 - 2:58:50 11 (4 at bottom) - 3:01:40 Unit Circle 2 - 3:03:28 3 - 3:04:07 4 - 3:04:37 Applications of the Unit Circle a) 3:11:28 1 - 3:13:17 2 - 3:15:15 3a - 3:22:20 3b - 3:25:10 3c - 3:27:17 3d - 3:30:25 3e - 3:31:35 3f - 3:32:52 4a - 3:35:27 (using Pythagorean identity) 4c - 3:38:28 (using triangle method) 4b - 3:42:40 4d - 3:44:10 Trigonometric Functions 1 - 3:47:00 2 - 3:49:00 3 - 3:51:15
Love the title and the absolute menace you were when taking down that 2020 exam sir
just missing those expert camera skills :D
@@DanielRoyalsagreed, i noticed a drop in filming quality since last year
i have no idea who u r im literally from australia but great maths LOL
♥♥♥
love you ❤❤ my aussie teacher
"Promo sm" 🙌
thank you so much
No problem😊
legend, ur the only thing keeping me together for my SATS 👍
Fun fact: When a polynomial p(x) is divided by (x - a)², the remainder is the equation of the tangent at x = a. In this case the equation of the tangent is y = (2a - 2)x - 3 - a². ∴ -3 - a² = -7 and a = ±2. The tangents are y = 2x - 7 and y = -6x - 7 at (2, -3) and (-2, 5) respectively.
When you do problem solving with quadratics, can you please cover question 9 aswell?
Sure!
My preference is to avoid fractions. x² + 5x + 2 = 0 4x² +20x +8 = 0 (2x + 5)² = 17 2x + 5 = ± √17 2x = -5 ± √17 x = (-5 ± √17)/2
This video is amazing! - really clear for binomial data!. I can't seem to find anywhere else where these equations are used, it's really frustrating as all the equations seem to be for continuous data. Where did you get these formulas from? is there a book or resource or something
Hi Chris, this from the old Haese Methods Textbook. I can share some of these questions with you if you like. Just leave your email.
@@DanielRoyals It's more I've used your formulas for my own little project and needed its reference. You really are an amazing teacher - THANKYOU
Good luck with test ppl
saving me for the SAT tmrw
update: got 70%
thank you sir daniel
Ya ahmed ya G
Not part of Specialist course nor is SHM.
Thanks for that. Yes you are correct - according to the SACE subject outline for stage 2 specialist maths 8I is not explicitly part of the course. Nonetheless I think it is a good application and connection of 8A implicit differentiation, 8B Related rates and 8C-8E differential equations.
👌 𝐩𝓻Ỗ𝓂Ø𝓈M
Sir was this SPEC EXAM FOR IIIT HYDERABAD
from where is the 1.96 ?
1.96 is the number we use for the 95% confidence interval. This number will change for other levels of confidence.
It comes from Za/2 where a is 1-0.95=0.05 so Z0.025 in the table of values of the standard normal distribution gives 1.96
Hi Mr. Royals
Did you enjoy this spec lesson Emma