Daniel Royals
Daniel Royals
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12 Methods MASA 2024 Trial Exam
12 Methods MASA 2024 Trial Exam
Переглядів: 40

Відео

Spec 2020 SACE exam
Переглядів 257 годин тому
Spec 2020 SACE exam
Stage 2 Methods SACE 2014 Exam
Переглядів 64День тому
Stage 2 Methods SACE 2014 Exam
12 Spec 2020 Sample Exam
Переглядів 5514 днів тому
12 Spec 2020 Sample Exam
Integration Recap
Переглядів 2621 день тому
Integration Recap
2020 Sample Exam Questions
Переглядів 1321 день тому
2020 Sample Exam Questions
Vectors Recap
Переглядів 2521 день тому
Vectors Recap
SAT 2/3 Polynomials, Functions and Complex Numbers Recap
Переглядів 19Місяць тому
SAT 2/3 Polynomials, Functions and Complex Numbers Recap
Proving nth derivative with PMI
Переглядів 17Місяць тому
Proving nth derivative with PMI
3 Discrete Random Variables Recap
Переглядів 10Місяць тому
3 Discrete Random Variables Recap
2 Applications of Calculus Summary
Переглядів 56Місяць тому
2 Applications of Calculus Summary
1 Differential Calculus Recap
Переглядів 23Місяць тому
1 Differential Calculus Recap
12 Methods Exam Prep Summary
Переглядів 37Місяць тому
12 Methods Exam Prep Summary
6 Differential Equations Test Summary
Переглядів 8Місяць тому
6 Differential Equations Test Summary
9F Arc Lengths of Parametric Curves
Переглядів 9Місяць тому
9F Arc Lengths of Parametric Curves
9E.2 Trigonometric Parameterisation with elipses
Переглядів 13Місяць тому
9E.2 Trigonometric Parameterisation with elipses
9E.1 Trigonometric Parameterisation
Переглядів 6Місяць тому
9E.1 Trigonometric Parameterisation
CRV Test Summary
Переглядів 37Місяць тому
CRV Test Summary
9D Bezier Curves
Переглядів 6Місяць тому
9D Bezier Curves
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
9B Pairs of Uniformly varying
Переглядів 12Місяць тому
9B Pairs of Uniformly varying
9A Parametric Equations
Переглядів 14Місяць тому
9A Parametric Equations
9F.1 Confidence Intervals for sample proportions
Переглядів 31Місяць тому
9F.1 Confidence Intervals for sample proportions
8H Logistic Growth
Переглядів 8Місяць тому
8H Logistic Growth
9E Sample Proportions
Переглядів 38Місяць тому
9E Sample Proportions
8G Problem Solving
Переглядів 92 місяці тому
8G Problem Solving
8F Slope Fields
Переглядів 62 місяці тому
8F Slope Fields
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

КОМЕНТАРІ

  • @finbartilderhaven
    @finbartilderhaven 7 днів тому

    quality overview.

  • @hassaannitroold6707
    @hassaannitroold6707 7 днів тому

    Thank you for the video. I can finally "understand" the concept and start practicing more! very helpful explaination

  • @skarXmain
    @skarXmain Місяць тому

    ethics mean nothing when you dont feel

    • @DanielRoyals
      @DanielRoyals Місяць тому

      Perhaps, but I think ethics is more than feelings. A sadist feels happy when inflicting pain on another, but this is not ethical.

  • @monarch1651
    @monarch1651 Місяць тому

    I disagree

  • @bobfred4410
    @bobfred4410 2 місяці тому

    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?

    • @DanielRoyals
      @DanielRoyals 2 місяці тому

      Yeah good call mate completely agree haha

  • @fornecedordeacai8234
    @fornecedordeacai8234 2 місяці тому

    NICE

  • @negative.xp.
    @negative.xp. 3 місяці тому

    awesome!

  • @negative.xp.
    @negative.xp. 3 місяці тому

    thank you daniel

  • @wasimvillidad3000
    @wasimvillidad3000 3 місяці тому

    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.

  • @davidbragg7153
    @davidbragg7153 3 місяці тому

    you need a better marker. It's too faint to read.

    • @DanielRoyals
      @DanielRoyals 3 місяці тому

      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.

  • @EverythingStationeryYT
    @EverythingStationeryYT 3 місяці тому

    Thank you for such an informational and inspiring video

  • @negative.xp.
    @negative.xp. 4 місяці тому

    thank you daniel

  • @bobfred4410
    @bobfred4410 4 місяці тому

    Sir i deem this cameraman sub-par

  • @manvirbansal5734
    @manvirbansal5734 4 місяці тому

    appreciate Sir

  • @wasimvillidad3000
    @wasimvillidad3000 4 місяці тому

    Just a thought - divide both sides by e in the first line.

    • @DanielRoyals
      @DanielRoyals 4 місяці тому

      Definitely - an elegant solution

  • @bobfred4410
    @bobfred4410 4 місяці тому

    Good explanations sir, takes me back to the days of 2022

    • @danieljohnroyals9576
      @danieljohnroyals9576 4 місяці тому

      Thanks Flynnos expert camera man. How's uni going? Enjoying Adelaide life?

    • @bobfred4410
      @bobfred4410 4 місяці тому

      @@danieljohnroyals9576 never been better sir, having an amazing year studying maths and only maths xD How are you going these days?

    • @DanielRoyals
      @DanielRoyals 4 місяці тому

      @@bobfred4410 love to hear it mate sounds very exciting. School is going well and family too. Having another baby due tomorrow :D

    • @bobfred4410
      @bobfred4410 4 місяці тому

      @@DanielRoyals ooo congratulations sir! You're gonna have an army of children to teach your mathematical ways!

  • @edwarddoyle7354
    @edwarddoyle7354 6 місяців тому

    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

    • @DanielRoyals
      @DanielRoyals 6 місяців тому

      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.

  • @Tempenwerfer
    @Tempenwerfer 6 місяців тому

    You a real one Daniel. Thank you.

  • @wasimvillidad3000
    @wasimvillidad3000 6 місяців тому

    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.

    • @DanielRoyals
      @DanielRoyals 6 місяців тому

      A clever solution. Well done!

    • @wasimvillidad3000
      @wasimvillidad3000 6 місяців тому

      @@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

  • @laurenceday6124
    @laurenceday6124 7 місяців тому

    🙈 *Promo sm*

  • @assasin6927
    @assasin6927 7 місяців тому

    great video! keep it up!

  • @EverythingStationeryYT
    @EverythingStationeryYT 7 місяців тому

    Mr Royals --> Mr Virgo

  • @WillLeCornu
    @WillLeCornu 7 місяців тому

    Virgo could never

  • @ZeroOmega-vg8nq
    @ZeroOmega-vg8nq 8 місяців тому

    I just looked up the hot-crazy scale and now i got math....i thought this was gunna be funny

  • @bobfred4410
    @bobfred4410 8 місяців тому

    Lost the hair sir! Where did it all go?? Lookin sharp as always :)

  • @WillLeCornu
    @WillLeCornu 8 місяців тому

    W video sir

  • @DanielRoyals
    @DanielRoyals 10 місяців тому

    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

  • @bobfred4410
    @bobfred4410 Рік тому

    Love the title and the absolute menace you were when taking down that 2020 exam sir

    • @DanielRoyals
      @DanielRoyals Рік тому

      just missing those expert camera skills :D

    • @bobfred4410
      @bobfred4410 Рік тому

      ​@@DanielRoyalsagreed, i noticed a drop in filming quality since last year

  • @angelaliu.
    @angelaliu. Рік тому

    i have no idea who u r im literally from australia but great maths LOL

  • @novastarer
    @novastarer Рік тому

    ♥♥♥

  • @arjitgupta8212
    @arjitgupta8212 Рік тому

    love you ❤❤ my aussie teacher

  • @redfordalbu4262
    @redfordalbu4262 Рік тому

    "Promo sm" 🙌

  • @rukarula
    @rukarula Рік тому

    thank you so much

  • @_mohx2
    @_mohx2 Рік тому

    legend, ur the only thing keeping me together for my SATS 👍

  • @wasimvillidad3000
    @wasimvillidad3000 Рік тому

    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.

  • @rukarula
    @rukarula Рік тому

    When you do problem solving with quadratics, can you please cover question 9 aswell?

  • @wasimvillidad3000
    @wasimvillidad3000 Рік тому

    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

  • @ChrisLove2010
    @ChrisLove2010 Рік тому

    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

    • @DanielRoyals
      @DanielRoyals Рік тому

      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.

    • @ChrisLove2010
      @ChrisLove2010 Рік тому

      @@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

  • @bobfred4410
    @bobfred4410 Рік тому

    Good luck with test ppl

  • @rukarula
    @rukarula Рік тому

    saving me for the SAT tmrw

  • @rukarula
    @rukarula Рік тому

    thank you sir daniel

  • @wasimvillidad3000
    @wasimvillidad3000 2 роки тому

    Not part of Specialist course nor is SHM.

    • @DanielRoyals
      @DanielRoyals 2 роки тому

      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.

  • @bettiereisman5500
    @bettiereisman5500 2 роки тому

    👌 𝐩𝓻Ỗ𝓂Ø𝓈M

  • @likimaripi9214
    @likimaripi9214 2 роки тому

    Sir was this SPEC EXAM FOR IIIT HYDERABAD

  • @nadiafrylinck6075
    @nadiafrylinck6075 2 роки тому

    from where is the 1.96 ?

    • @DanielRoyals
      @DanielRoyals 2 роки тому

      1.96 is the number we use for the 95% confidence interval. This number will change for other levels of confidence.

    • @oleselstaddybedokken8832
      @oleselstaddybedokken8832 Рік тому

      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

  • @emmalang215
    @emmalang215 2 роки тому

    Hi Mr. Royals

    • @bobfred4410
      @bobfred4410 2 роки тому

      Did you enjoy this spec lesson Emma