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Gresty Academy
Singapore
เข้าร่วมเมื่อ 18 พ.ค. 2020
Gresty Academy together with Anstey Maths - making learning maths slightly less painful or slightly more fun, depending on your viewpoint! We have hundreds of maths videos already uploaded and are adding new ones every day, organised into dozens of playlists and podcasts by topic and difficulty level.
Why not join the Gresty Academy TH-cam Channel as a member? We have various membership levels available for purchase, each of which offer perks such as 'pay per question' and 'maths consultancy' services (see the link below).
For those who prefer to watch our videos in another language - go to the settings of the TH-cam video in question and click on 'Subtitles'. This will give you an auto generated English transcription of the audio. Then click on 'English Auto Generated' and there is option to 'Auto Translate' to any other language - hey presto you have a transcript of the audio in your own language (see our TH-cam Short video at the link below for how to do this )
Why not join the Gresty Academy TH-cam Channel as a member? We have various membership levels available for purchase, each of which offer perks such as 'pay per question' and 'maths consultancy' services (see the link below).
For those who prefer to watch our videos in another language - go to the settings of the TH-cam video in question and click on 'Subtitles'. This will give you an auto generated English transcription of the audio. Then click on 'English Auto Generated' and there is option to 'Auto Translate' to any other language - hey presto you have a transcript of the audio in your own language (see our TH-cam Short video at the link below for how to do this )
Great Practice using L'Hopital's Rule
L'Hopital's Rule is an extremely common topic in Senior Maths Exams and College Entrance Exams and, once understood, the questions tend to be fairly similar to each other and thus with potential for gaining very high marks.
The question on the thumbnail is a fairly typical one, which we first answer with application of L'Hopital, and then confirm by looking at the Maclaurin expansions of both functions.
The Gresty Academy podcast 'A Crash Course in L'Hopital's Rule for Limits of Indeterminate Forms' can be found at th-cam.com/play/PLlX3COjsHPVAqWHGv0_TpnzM81CtUIfvJ.html
Join the Gresty Academy TH-cam channel to get access to perks:
th-cam.com/channels/uC1Ys-7XLOXPkfYx-Q3VBg.htmljoin
The question on the thumbnail is a fairly typical one, which we first answer with application of L'Hopital, and then confirm by looking at the Maclaurin expansions of both functions.
The Gresty Academy podcast 'A Crash Course in L'Hopital's Rule for Limits of Indeterminate Forms' can be found at th-cam.com/play/PLlX3COjsHPVAqWHGv0_TpnzM81CtUIfvJ.html
Join the Gresty Academy TH-cam channel to get access to perks:
th-cam.com/channels/uC1Ys-7XLOXPkfYx-Q3VBg.htmljoin
มุมมอง: 16
วีดีโอ
An Intriguing Differential Equation Solved by Separation of Variables
มุมมอง 1K9 ชั่วโมงที่ผ่านมา
In this video we show how to solve the differential equation in the thumbnail using separation of variables x and y. This question is excellent practice, not only at separating variables, but also simplifying the quadratic/quadratic fraction in x in order that it can be integrated. For more maths videos on differential equations see our playlist "Differential Equations" th-cam.com/play/PLlX3COj...
A Cool Method Solves this Quickly Without Using Vieta's Formulae
มุมมอง 28914 ชั่วโมงที่ผ่านมา
A Cool Method Solves this Quickly Without Using Vieta's Formulae
Solving a Quartic Polynomial Question with Vieta's Formulae
มุมมอง 47019 ชั่วโมงที่ผ่านมา
Solving a Quartic Polynomial Question with Vieta's Formulae
A Tricky 'Transformation of Roots of a Cubic' Question
มุมมอง 770วันที่ผ่านมา
A Tricky 'Transformation of Roots of a Cubic' Question
Cumulative Distribution Function F(x) of a Continuous Random Variable X
มุมมอง 353วันที่ผ่านมา
Cumulative Distribution Function F(x) of a Continuous Random Variable X
Median, Mode and Mean of a Continuous Random Variable
มุมมอง 24514 วันที่ผ่านมา
Median, Mode and Mean of a Continuous Random Variable
Introduction to L'Hopital's Rule for Limits of Indeterminate Forms
มุมมอง 18714 วันที่ผ่านมา
Introduction to L'Hopital's Rule for Limits of Indeterminate Forms
Expected Value and Variance of Continuous Random Variables
มุมมอง 22214 วันที่ผ่านมา
Expected Value and Variance of Continuous Random Variables
Probability Density Functions f(x) of Continuous Random Variables
มุมมอง 25514 วันที่ผ่านมา
Probability Density Functions f(x) of Continuous Random Variables
Introduction to Continuous Random Variables
มุมมอง 25621 วันที่ผ่านมา
Introduction to Continuous Random Variables
Answering 'Show there are NO Integer Roots of a Polynomial' Exam Questions
มุมมอง 2.4K21 วันที่ผ่านมา
Answering 'Show there are NO Integer Roots of a Polynomial' Exam Questions
Introduction to Proofs by Contradiction
มุมมอง 40721 วันที่ผ่านมา
Introduction to Proofs by Contradiction
An Intriguing Exponential Equation - the answer isnt 6!
มุมมอง 36728 วันที่ผ่านมา
An Intriguing Exponential Equation - the answer isnt 6!
The Tower of Hanoi, Recurrence Relations and Proof by Induction
มุมมอง 38528 วันที่ผ่านมา
The Tower of Hanoi, Recurrence Relations and Proof by Induction
An Intriguing Series Summation Linked to Combinatorics and Subset Counting
มุมมอง 57028 วันที่ผ่านมา
An Intriguing Series Summation Linked to Combinatorics and Subset Counting
A Trigonometric Summation Proof by Mathematical Induction
มุมมอง 471หลายเดือนก่อน
A Trigonometric Summation Proof by Mathematical Induction
A Differentiation Proof by Mathematical Induction
มุมมอง 233หลายเดือนก่อน
A Differentiation Proof by Mathematical Induction
A Second Order Recurrence Relation Proof by Mathematical Induction
มุมมอง 207หลายเดือนก่อน
A Second Order Recurrence Relation Proof by Mathematical Induction
A First Order Recurrence Relation Proof by Mathematical Induction
มุมมอง 358หลายเดือนก่อน
A First Order Recurrence Relation Proof by Mathematical Induction
A Combinatoric Summation Proof by Mathematical Induction
มุมมอง 505หลายเดือนก่อน
A Combinatoric Summation Proof by Mathematical Induction
A Divisibility Proof by Mathematical Induction
มุมมอง 306หลายเดือนก่อน
A Divisibility Proof by Mathematical Induction
Introduction to Proofs by Mathematical Induction
มุมมอง 802หลายเดือนก่อน
Introduction to Proofs by Mathematical Induction
Can you Correctly Calculate these Playing Card Probabilities?
มุมมอง 507หลายเดือนก่อน
Can you Correctly Calculate these Playing Card Probabilities?
GR 3768 Question 49 Solved with both Cauchy Integral Formula for Derivatives and the Residue Theorem
มุมมอง 332หลายเดือนก่อน
GR 3768 Question 49 Solved with both Cauchy Integral Formula for Derivatives and the Residue Theorem
Residue Theorem (aka Cauchy's Residue Theorem) Refresher
มุมมอง 550หลายเดือนก่อน
Residue Theorem (aka Cauchy's Residue Theorem) Refresher
Cauchy Integral Questions Revision and Practice Part THREE
มุมมอง 780หลายเดือนก่อน
Cauchy Integral Questions Revision and Practice Part THREE
Cauchy Integral Questions Revision and Practice Part TWO
มุมมอง 797หลายเดือนก่อน
Cauchy Integral Questions Revision and Practice Part TWO
Cauchy Integral Questions Revision and Practice Part ONE
มุมมอง 918หลายเดือนก่อน
Cauchy Integral Questions Revision and Practice Part ONE
Informal Proof of Cauchy's Integral Formula and Cauchy's Integral Formula for Derivatives
มุมมอง 643หลายเดือนก่อน
Informal Proof of Cauchy's Integral Formula and Cauchy's Integral Formula for Derivatives
For more stimulating and tough maths teasers, check out our podcast 'Challenging Maths Teasers' at th-cam.com/play/PLlX3COjsHPVD-ZVabBh3dEizEiWnVn23z.html
This video is part of the Gresty Academy podcast 'A Crash Course in L'Hopital's Rule for Limits of Indeterminate Forms' which can be watched at th-cam.com/play/PLlX3COjsHPVAqWHGv0_TpnzM81CtUIfvJ.html
For more stimulating and tough maths teasers, check out our podcast 'Challenging Maths Teasers' at th-cam.com/play/PLlX3COjsHPVD-ZVabBh3dEizEiWnVn23z.html
For more stimulating and tough maths teasers, check out our podcast 'Challenging Maths Teasers' at th-cam.com/play/PLlX3COjsHPVD-ZVabBh3dEizEiWnVn23z.html
For more stimulating and tough maths teasers, check out our podcast 'Challenging Maths Teasers' at th-cam.com/play/PLlX3COjsHPVD-ZVabBh3dEizEiWnVn23z.html
This is the first video in the Gresty Academy podcast 'A Crash Course in L'Hopital's Rule for Limits of Indeterminate Forms' which can be watched at th-cam.com/play/PLlX3COjsHPVAqWHGv0_TpnzM81CtUIfvJ.html
For more stimulating and tough maths teasers, check out our podcast 'Challenging Maths Teasers' at th-cam.com/play/PLlX3COjsHPVD-ZVabBh3dEizEiWnVn23z.html
Yay I could do it
Nice! We have hundreds more teasers like this for your solving pleasure - check out our podcast 'Challenging Maths Teasers' at th-cam.com/play/PLlX3COjsHPVD-ZVabBh3dEizEiWnVn23z.html or for more gentle teasers on the brain 'Coffee Break Maths Teasers' at th-cam.com/play/PLlX3COjsHPVB8tNLtE_gbf2BHO97cvSIm.html - Good luck!
For more stimulating and tough maths teasers, check out our podcast 'Challenging Maths Teasers' at th-cam.com/play/PLlX3COjsHPVD-ZVabBh3dEizEiWnVn23z.html
For more stimulating and tough maths teasers, check out our podcast 'Challenging Maths Teasers' at th-cam.com/play/PLlX3COjsHPVD-ZVabBh3dEizEiWnVn23z.html
For more stimulating and tough maths teasers, check out our podcast 'Challenging Maths Teasers' at th-cam.com/play/PLlX3COjsHPVD-ZVabBh3dEizEiWnVn23z.html
For more fairly gentle but still challenging maths teasers, check out our podcast 'Coffee Break Maths Teasers' at th-cam.com/play/PLlX3COjsHPVB8tNLtE_gbf2BHO97cvSIm.html
For more maths videos on differential equations see our playlist "Differential Equations" th-cam.com/play/PLlX3COjsHPVBMw0OwRnewvn0SIojd-3ZX.html
For more stimulating and tough maths teasers, check out our podcast 'Challenging Maths Teasers' at th-cam.com/play/PLlX3COjsHPVD-ZVabBh3dEizEiWnVn23z.html
For more stimulating and tough maths teasers, check out our podcast 'Challenging Maths Teasers' at th-cam.com/play/PLlX3COjsHPVD-ZVabBh3dEizEiWnVn23z.html
For more stimulating and tough maths teasers, check out our podcast 'Challenging Maths Teasers' at th-cam.com/play/PLlX3COjsHPVD-ZVabBh3dEizEiWnVn23z.html
For more stimulating and tough maths teasers, check out our podcast 'Challenging Maths Teasers' at th-cam.com/play/PLlX3COjsHPVD-ZVabBh3dEizEiWnVn23z.html
This video forms part of the Gresty Academy podcast 'A Crash Course in Roots of Polynomial Questions' which can be watched at th-cam.com/play/PLlX3COjsHPVDiZZdnHEreCFewk-b9b1AO.html
For more stimulating and tough maths teasers, check out our podcast 'Challenging Maths Teasers' at th-cam.com/play/PLlX3COjsHPVD-ZVabBh3dEizEiWnVn23z.html
For more stimulating and tough maths teasers, check out our podcast 'Challenging Maths Teasers' at th-cam.com/play/PLlX3COjsHPVD-ZVabBh3dEizEiWnVn23z.html
For more stimulating and tough maths teasers, check out our podcast 'Challenging Maths Teasers' at th-cam.com/play/PLlX3COjsHPVD-ZVabBh3dEizEiWnVn23z.html
For more stimulating and tough maths teasers, check out our podcast 'Challenging Maths Teasers' at th-cam.com/play/PLlX3COjsHPVD-ZVabBh3dEizEiWnVn23z.html
This video forms part of the Gresty Academy podcast 'A Crash Course in Roots of Polynomial Questions' which can be watched at th-cam.com/play/PLlX3COjsHPVDiZZdnHEreCFewk-b9b1AO.html
That was great
Glad you think so - I enjoyed that one too...
For more stimulating and tough maths teasers, check out our podcast 'Challenging Maths Teasers' at th-cam.com/play/PLlX3COjsHPVD-ZVabBh3dEizEiWnVn23z.html
For more stimulating and tough maths teasers, check out our podcast 'Challenging Maths Teasers' at th-cam.com/play/PLlX3COjsHPVD-ZVabBh3dEizEiWnVn23z.html
For more stimulating and tough maths teasers, check out our podcast 'Challenging Maths Teasers' at th-cam.com/play/PLlX3COjsHPVD-ZVabBh3dEizEiWnVn23z.html
This video forms part of the Gresty Academy podcast 'A Crash Course in Roots of Polynomial Questions' which can be watched at th-cam.com/play/PLlX3COjsHPVDiZZdnHEreCFewk-b9b1AO.html
For more stimulating and tough maths teasers, check out our podcast 'Challenging Maths Teasers' at th-cam.com/play/PLlX3COjsHPVD-ZVabBh3dEizEiWnVn23z.html
Thank you so much! And how do you calculate the variance using this method for N?
great question - I shall do a video on that. Watch this space!
Supposing you want to try to solve these with paper pencil and hand calculator! What exact mathematical steps are used, say for example W(4) to get the # 1.2021?
Your video clarifies and makes vivid what is actually happening with Lambert W function.
Thank you - glad you found it helpful
Check out the comment thread on this video starting with @matthewstoicism1485's question "If you had to calculate W(5) by hand; how would you go about it?" - hope that helps
@@grestyacademy Many thanks. After reading the comments, I get the feeling that it can be done with paper & pencil, but rather tedious math. But it shouldn't be all that complicated.
Yes agree - any 'pencil and paper' method such as Newton Raphson etc will eventually get you there, but as you say its about as exciting maths as calculating logarithms by hand...
For more stimulating and tough maths teasers, check out our podcast 'Challenging Maths Teasers' at th-cam.com/play/PLlX3COjsHPVD-ZVabBh3dEizEiWnVn23z.html
For more stimulating and tough maths teasers, check out our podcast 'Challenging Maths Teasers' at th-cam.com/play/PLlX3COjsHPVD-ZVabBh3dEizEiWnVn23z.html
For more fairly gentle but still challenging maths teasers, check out our podcast 'Coffee Break Maths Teasers' at th-cam.com/play/PLlX3COjsHPVB8tNLtE_gbf2BHO97cvSIm.html
For more fairly gentle but still challenging maths teasers, check out our podcast 'Coffee Break Maths Teasers' at th-cam.com/play/PLlX3COjsHPVB8tNLtE_gbf2BHO97cvSIm.html
For more stimulating and tough maths teasers, check out our podcast 'Challenging Maths Teasers' at th-cam.com/play/PLlX3COjsHPVD-ZVabBh3dEizEiWnVn23z.html
This video is part of the Gresty Academy podcast 'A Crash Course in Continuous Random Variables' which can be found at th-cam.com/play/PLlX3COjsHPVD_UDqCEiglkZtI2ZQFFMbf.html
For more fairly gentle but still challenging maths teasers, check out our podcast 'Coffee Break Maths Teasers' at th-cam.com/play/PLlX3COjsHPVB8tNLtE_gbf2BHO97cvSIm.html
For more fairly gentle but still challenging maths teasers, check out our podcast 'Coffee Break Maths Teasers' at th-cam.com/play/PLlX3COjsHPVB8tNLtE_gbf2BHO97cvSIm.html
For more stimulating and tough maths teasers, check out our podcast 'Challenging Maths Teasers' at th-cam.com/play/PLlX3COjsHPVD-ZVabBh3dEizEiWnVn23z.html
there is a property that states cos^2(θ)+sin^2(θ)=1
Only defined within the real numbers. It gets messy in complex numbers as the range of the definition of cos and sin in the complex is not -1<y<1 and can be higher or lower.
Hi there - as stated by another commentator that comes from pythagorus in a 'real number' right angled triangle plus the definitions of the trig functions cos and sin - I find it quite extraordinary that the identity ALSO holds for complex numbers though it is not because of pythagorus but because of the proof in the video short (in fact most, but not all, trig identities also hold true for complex numbers)
For more stimulating and tough maths teasers, check out our podcast 'Challenging Maths Teasers' at th-cam.com/play/PLlX3COjsHPVD-ZVabBh3dEizEiWnVn23z.html
This video is part of the Gresty Academy podcast 'A Crash Course in Continuous Random Variables' which can be found at th-cam.com/play/PLlX3COjsHPVD_UDqCEiglkZtI2ZQFFMbf.html
I SOLVED IT YAY
Congratulations! We have hundreds more teasers of varying difficulty level in our playlist 'Miscellaneous Short Teasers' at th-cam.com/play/PLlX3COjsHPVB9MwWLYpVV5cLbFmBUayZY.html - enjoy!
For more fairly gentle but still challenging maths teasers, check out our podcast 'Coffee Break Maths Teasers' at th-cam.com/play/PLlX3COjsHPVB8tNLtE_gbf2BHO97cvSIm.html
For more fairly gentle but still challenging maths teasers, check out our podcast 'Coffee Break Maths Teasers' at th-cam.com/play/PLlX3COjsHPVB8tNLtE_gbf2BHO97cvSIm.html
For more fairly gentle but still challenging maths teasers, check out our podcast 'Coffee Break Maths Teasers' at th-cam.com/play/PLlX3COjsHPVB8tNLtE_gbf2BHO97cvSIm.html
For more fairly gentle but still challenging maths teasers, check out our podcast 'Coffee Break Maths Teasers' at th-cam.com/play/PLlX3COjsHPVB8tNLtE_gbf2BHO97cvSIm.html
For more fairly gentle but still challenging maths teasers, check out our podcast 'Coffee Break Maths Teasers' at th-cam.com/play/PLlX3COjsHPVB8tNLtE_gbf2BHO97cvSIm.html
For more fairly gentle but still challenging maths teasers, check out our podcast 'Coffee Break Maths Teasers' at th-cam.com/play/PLlX3COjsHPVB8tNLtE_gbf2BHO97cvSIm.html