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14 Jan 2021 09:53:13 UTC
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Use log, not calculator
This was adapted and modified from a controversial Gaokao (高考) question in China, in 2017. Original question: https://kknews.cc/education/29yj84r.html
---
Support me on Odyssey/ LBRY:
Channel: https://www.youtube.com/channel/UCn4GdIRVGN3QMziXf_wZIFg
This Video: https://youtu.be/NYnfEvbYGZ8
---
Suggested reading:
1. How Many Atoms Are There in the Universe?
https://www.universetoday.com/36302/atoms-in-the-universe/#:~:text=At%20this%20level%2C%20it%20is,hundred%20thousand%20quadrillion%20vigintillion%20atoms.
2. How the Computer Beat the Go (Weiqi) Master
https://www.scientificamerican.com/article/how-the-computer-beat-the-go-master/#:~:text=But%20go's%20complexity%20is%20bigger,or%2010360%20possible%20moves.
3. How to Compare Numbers by Using Exponents
https://www.dummies.com/education/math/algebra/how-to-compare-numbers-by-using-exponents/#:~:text=To%20discover%20the%20real%20value,exponent%20is%20the%20larger%20number.&text=Write%20them%20as%20numbers%20between,times%20a%20power%20of%20ten.
---
Timestamp:
0:00 Introduction
1:27 Lost trust in calculator
3:27 Revision on Logarithms
4:27 Quick Proof of Logarithm Rules
8:52 Compare using log
10:47 Compute lg(3) by hand
14:20 Final answer
15:38 General conclusion
---
Let's do math for fun!
---
Support me on Odyssey/ LBRY:
Channel: https://www.youtube.com/channel/UCn4GdIRVGN3QMziXf_wZIFg
This Video: https://youtu.be/NYnfEvbYGZ8
---
Suggested reading:
1. How Many Atoms Are There in the Universe?
https://www.universetoday.com/36302/atoms-in-the-universe/#:~:text=At%20this%20level%2C%20it%20is,hundred%20thousand%20quadrillion%20vigintillion%20atoms.
2. How the Computer Beat the Go (Weiqi) Master
https://www.scientificamerican.com/article/how-the-computer-beat-the-go-master/#:~:text=But%20go's%20complexity%20is%20bigger,or%2010360%20possible%20moves.
3. How to Compare Numbers by Using Exponents
https://www.dummies.com/education/math/algebra/how-to-compare-numbers-by-using-exponents/#:~:text=To%20discover%20the%20real%20value,exponent%20is%20the%20larger%20number.&text=Write%20them%20as%20numbers%20between,times%20a%20power%20of%20ten.
---
Timestamp:
0:00 Introduction
1:27 Lost trust in calculator
3:27 Revision on Logarithms
4:27 Quick Proof of Logarithm Rules
8:52 Compare using log
10:47 Compute lg(3) by hand
14:20 Final answer
15:38 General conclusion
---
Let's do math for fun!
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video/mp4
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[TUTO
-TUTORIAL--UEC-2020-Mathematics-P2-Discussion--1-of-3-
Looking for Add Math revision material? Let’s try the math paper from UEC! This video is the full explanation in ENGLISH for UEC 2020 Mathematics Paper 2. It is a very good Add Maths revision material as it covers a lot of Form 4/ Form 5 add math topics, and the questions are quite fundamental, so it helps to revise the concepts. Hope you learn something from this video!
---
Support me on YouTube:
Channel: https://www.youtube.com/channel/UCn4GdIRVGN3QMziXf_wZIFg
This video: https://youtu.be/t0k38ZD945Y
---
UEC 2020 Mathematics Discussion
Paper 1:
https://odysee.com/@e-math_Video:6/-TUTORIAL--UEC-2020-Mathematics-P1-Discussion:6
Paper 2:
Part 1: https://odysee.com/@e-math_Video:6/-TUTORIAL--UEC-2020-Mathematics-P2-Discussion--1-of-3-:6
Part 2: https://odysee.com/@e-math_Video:6/-TUTORIAL--UEC-2020-Mathematics-P2-Discussion--2-of-3-:4
Part 3: https://odysee.com/@e-math_Video:6/-TUTORIAL--UEC-2020-Mathematics-P2-Discussion--3-of-3-:7
---
Link to PDF:
Paper 1: https://drive.google.com/file/d/1GXtagONFjcyEGXTSI6aPjzRJlCOl5oB5/view?usp=sharing
Paper 2: https://drive.google.com/file/d/17-JTG2xbNEdLYypSIK58nDNAa_9djI41/view?usp=sharing
Please bear with the bad audio... I'm really sorry about this...
---
Timestamp:
0:00 Question 1
2:00 Question 2
6:03 Question 3
9:29 Question 4
13:12 Question 5
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Good luck to all the UEC and SPM students!
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[TUTO
-TUTORIAL--UEC-2020-Mathematics-P2-Discussion--3-of-3-
Looking for Add Math revision material? Let’s try the math paper from UEC! This video is the full explanation in ENGLISH for UEC 2020 Mathematics Paper 2. It is a very good Add Maths revision material as it covers a lot of Form 4/ Form 5 add math topics, and the questions are quite fundamental, so it helps to revise the concepts. Hope you learn something from this video!
---
Support me on YouTube:
Channel: https://www.youtube.com/channel/UCn4GdIRVGN3QMziXf_wZIFg
This video: https://youtu.be/a-Jbg-2g4Dg
---
UEC 2020 Mathematics Discussion
Paper 1:
https://odysee.com/@e-math_Video:6/-TUTORIAL--UEC-2020-Mathematics-P1-Discussion:6
Paper 2:
Part 1: https://odysee.com/@e-math_Video:6/-TUTORIAL--UEC-2020-Mathematics-P2-Discussion--1-of-3-:6
Part 2: https://odysee.com/@e-math_Video:6/-TUTORIAL--UEC-2020-Mathematics-P2-Discussion--2-of-3-:4
Part 3: https://odysee.com/@e-math_Video:6/-TUTORIAL--UEC-2020-Mathematics-P2-Discussion--3-of-3-:7
---
Link to PDF:
Paper 1: https://drive.google.com/file/d/1GXtagONFjcyEGXTSI6aPjzRJlCOl5oB5/view?usp=sharing
Paper 2: https://drive.google.com/file/d/17-JTG2xbNEdLYypSIK58nDNAa_9djI41/view?usp=sharing
Please bear with the bad audio... I'm really sorry about this...
---
Timestamp:
0:00 Question 9
8:23 Question 10
15:25 Question 11
24:43 Question 12
---
Good luck to all the UEC and SPM students!
Transaction
Created
2 weeks ago
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video/mp4
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400,000,000.00 LBC
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VIDEO
[TUTO
-TUTORIAL--UEC-2020-Mathematics-P1-Discussion
Looking for Add Math revision material? Let’s try the math paper from UEC! This video is the full explanation in ENGLISH for UEC 2020 Mathematics Paper 1. It is a very good Add Maths revision material as it covers a lot of Form 4/ Form 5 add math topics, and the questions are quite fundamental, so it helps to revise the concepts. Hope you learn something from this video!
---
Support me on YouTube:
Channel: https://www.youtube.com/channel/UCn4GdIRVGN3QMziXf_wZIFg
This video: https://youtu.be/c48gA1EV40o
---
UEC 2020 Mathematics Discussion
Paper 1:
https://odysee.com/@e-math_Video:6/-TUTORIAL--UEC-2020-Mathematics-P1-Discussion:6
Paper 2:
Part 1: https://odysee.com/@e-math_Video:6/-TUTORIAL--UEC-2020-Mathematics-P2-Discussion--1-of-3-:6
Part 2: https://odysee.com/@e-math_Video:6/-TUTORIAL--UEC-2020-Mathematics-P2-Discussion--2-of-3-:4
Part 3: https://odysee.com/@e-math_Video:6/-TUTORIAL--UEC-2020-Mathematics-P2-Discussion--3-of-3-:7
---
Link to PDF:
Paper 1: https://drive.google.com/file/d/1GXtagONFjcyEGXTSI6aPjzRJlCOl5oB5/view?usp=sharing
Paper 2: https://drive.google.com/file/d/17-JTG2xbNEdLYypSIK58nDNAa_9djI41/view?usp=sharing
Please bear with the bad audio... I'm really sorry about this...
---
Timestamp:
0:00 Question 1
2:22 Question 2
4:44 Question 3
7:40 Question 4
10:46 Question 5
13:05 Question 6
15:26 Question 7
16:34 Question 8
18:58 Question 9
20:50 Question 10
26:34 Question 11
30:34 Question 12
34:44 Question 13
36:27 Question 14
41:55 Question 15
44:59 Question 16
46:00 Question 17
47:15 Question 18
49:08 Question 19
50:49 Question 20
---
Good luck to all the UEC and SPM students!
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[TUTO
-TUTORIAL--UEC-2020-Mathematics-P2-Discussion--2-of-3-
Looking for Add Math revision material? Let’s try the math paper from UEC! This video is the full explanation in ENGLISH for UEC 2020 Mathematics Paper 2. It is a very good Add Maths revision material as it covers a lot of Form 4/ Form 5 add math topics, and the questions are quite fundamental, so it helps to revise the concepts. Hope you learn something from this video!
---
Support me on YouTube:
Channel: https://www.youtube.com/channel/UCn4GdIRVGN3QMziXf_wZIFg
This video: https://youtu.be/4STSrEp7MAc
---
UEC 2020 Mathematics Discussion
Paper 1:
https://odysee.com/@e-math_Video:6/-TUTORIAL--UEC-2020-Mathematics-P1-Discussion:6
Paper 2:
Part 1: https://odysee.com/@e-math_Video:6/-TUTORIAL--UEC-2020-Mathematics-P2-Discussion--1-of-3-:6
Part 2: https://odysee.com/@e-math_Video:6/-TUTORIAL--UEC-2020-Mathematics-P2-Discussion--2-of-3-:4
Part 3: https://odysee.com/@e-math_Video:6/-TUTORIAL--UEC-2020-Mathematics-P2-Discussion--3-of-3-:7
---
Link to PDF:
Paper 1: https://drive.google.com/file/d/1GXtagONFjcyEGXTSI6aPjzRJlCOl5oB5/view?usp=sharing
Paper 2: https://drive.google.com/file/d/17-JTG2xbNEdLYypSIK58nDNAa_9djI41/view?usp=sharing
Please bear with the bad audio... I'm really sorry about this...
---
Timestamp:
0:00 Question 6
22:06 Question 7
30:07 Question 8
---
Good luck to all the UEC and SPM students!
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VIDEO
[TUTO
-LECTURE--System-of-Linear-Equations-1--Gaussian-Elimination
Have you ever get frustrated by substitutions? This video is about Gaussian Elimination, a different approach to the system of linear equations with 3 variables
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Support me on YouTube:
https://youtu.be/s8qc2qnHY6U
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A mistake in slide! 01:10 - 02:20
First row of matrix should be
[1 2 -3 | -3]
---
Check out these sites!
1. Gaussian Elimination calculator
https://onlinemschool.com/math/assistance/equation/gaus/
2. 4 Equations 4 Unknowns | Algebra | Kid2Kid Tutorials
https://www.youtube.com/watch?v=96hB6oV4tkA
3. Properties of Real numbers
https://mathbitsnotebook.com/Algebra1/RealNumbers/RNProp.html
4. How ordinary elimination became Gaussian elimination
https://www.sciencedirect.com/science/article/pii/S0315086010000376
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Other sources:
1."There is another" meme
https://en.meming.world/wiki/There_Is_Another
2. Easy peasy lemon squeezy
https://www.dictionary.com/e/slang/easy-peasy-lemon-squeezy/
3. Systems of Linear Equations: Three Variables
https://courses.lumenlearning.com/wmopen-collegealgebra/chapter/introduction-systems-of-linear-equations-three-variables/
I DO NOT OWN ANY PART FROM THE SOURCES ABOVE
---
Feel free to download the printout:
https://drive.google.com/open?id=1JbKBL5br0Fr6PftPvjef75j5YQ3P3ssA
---
Timestamp:
0:00 Introduction
0:38 Gaussian Elimination demo
3:23 Augmented matrix and coefficient matrix
4:20 Row-equivalent operations
5:00 Tricks to do Gaussian Elimination
5:30 Example 1
8:06 Gaussian Elimination summary
8:34 Example 2: Derive elimination method
10:22 Example 3 (No solution)
11:03 Example 4 (Infinite solution)
12:31 Overall summary
---
Let's do math for fun!
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VIDEO
[TUTO
-LECTURE--Trigonometric-Identities-3
This is the THIRD video of Trigonometric Identities series, which will be proving Double-angle formulae in trigonometric functions.
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Support me on YouTube:
https://youtu.be/3JEI8_e04xA
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Check out other videos in this series
NEW FRIENDS! Ah Tan, Ah Cos, Ah Sin and Pythagoras [Trigonometric Identities 1] https://odysee.com/@e-math_Video:6/-LECTURE--Trigonometric-Identities-I:0
ALL SCIENCE TEACHER CRAZY! 3 Proof of Compound-angle Formulae [Trigonometric Identities 2] https://odysee.com/@e-math_Video:6/-LECTURE--Trigonometric-Identities-2:b
SHADOW CLONE! 3 Proof of Double-angle Formulae [Trigonometric Identities 3] https://odysee.com/@e-math_Video:6/-LECTURE--Trigonometric-Identities-3:a
---
[Suggested Reading]
1. Half-angle Formulae Proof
https://www.themathpage.com/aTrig/double-proof.htm
---
Background Music: Splashing Around by The Green Orbs
Downloaded from Youtube Audio Library [Royalty Free]
---
Feel Free to download the printouts:
Part 1: Pythagorean Identities
https://drive.google.com/file/d/19ykMxvXjYo8LG0DCXc8lGuLaKrckibdA/view?usp=sharing
Part 2: Compound-angle Formulae
https://drive.google.com/open?id=1qXsFgtI6JBAEfQ2n-gVYc4r-eKoV3jW5
Part 3: Double-angle Formulae
https://drive.google.com/open?id=1doGXUg8K3gVcYFWP_Vzcbd6FAcbD7_Ky
---
Timestamp:
0:00 Introduction
0:24 sin(2A)
1:02 cos(2A)
2:10 tan(2A)
---
Let's do math for fun!
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VIDEO
[TUTO
-LECTURE--Quadratic-Functions-and-Equations-2
This is the SECOND video on quadratic equation. This video covers complex number system and the discriminant.
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Support me on YouTube:
https://youtu.be/S0eN9ylYG7Y
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Check out other videos in this series
PERFECT! Introduction to Quadratic Equation and Completing the Square [Quadratic Series 1]
https://odysee.com/@e-math_Video:6/-LECTURE--Quadratic-Functions-and-Equations-1:9
THIS IS COMPLEX! Nature of Roots and Discriminant [Quadratic Equation #2]
https://odysee.com/@e-math_Video:6/-LECTURE--Quadratic-Functions-and-Equations-2:3
"NEW" Method! Different Approach to Quadratic Equation [Quadratic Equation #3]
https://odysee.com/@e-math_Video:6/-LECTURE--Quadratic-Functions-and-Equations:4
---
[SUGGESTED READING]
1. Graphing Complex Number
https://mathbitsnotebook.com/Algebra2/ComplexNumbers/CPGraphs.html
2. Mandelbrot Set
https://www.mathsisfun.com/numbers/mandelbrot.html
3. Vieta's formula
https://artofproblemsolving.com/wiki/index.php/Vieta%27s_Formulas
---
Background Music:Splashing Around by The Green Orbs
Downloaded from Youtube Audio Library [Royalty Free]
---
Other sources:
1. Kazuma's Death Explained | Kazuma Meets Aqua | Eng Sub | Konosuba #1
https://www.youtube.com/watch?v=4qikOb0MLEI
(Clip from Kono Subarashii Sekai ni Shukufuku wo! - Episode 1, original by Studio Deen)
2. Axel
https://konosuba.fandom.com/wiki/Axel
3. Complex number joke
https://www.pinterest.com/pin/496381190149498219/
4. Bacteria conjugate animation
https://i.makeagif.com/media/3-19-2015/u6SdkT.gif
I DO NOT OWN ANY PART FROM THE CONTENT ABOVE
---
Feel Free to download the printouts:
Part 1: Introduction and Completing the Square
https://drive.google.com/open?id=18K2rfG-MOx5tGFuSNsApfnA1J1elDCEx
Part 2: Complex Number and Discriminant
https://drive.google.com/open?id=1Bv9_ih8XbEyf84dXbJxOLor0eH-cFMCd
Part 3: S.O.R., P.O.R. and new method
https://drive.google.com/open?id=1v-_jUL2Orn3A03hJwYCR3ECpx8SqpyrK
---
Timestamp:
0:00 Introduction
2:44 Complex Number System
6:04 Nature of roots
6:27 The Discriminant
8:40 Distance between roots
9:30 Midpoint between roots
10:00 Coordinate of Vertex
---
Let's do math for fun!
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[TUTO
-LECTURE--Fundamental-Differentiation-Formula-1
For most of us, we hated Calculus so much during high school. What are they used for? Where did they come from?
This video is the FIRST part of Fundamental Differentiation Formula, which includes 8 basic rules of differentiation.
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Support me on YouTube:
https://youtu.be/YCzWtzFTYtk
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*Secant Line: This use if word secant comes from the Latin secare, meaning to cut, and u=is not a reference to the trigonometric function of the same name.
---
Check out other videos of this series:
Prove ALL of them! 8 Basic Differentiation Rules [Fundamental Differentiation Formula Part 1]
https://odysee.com/@e-math_Video:6/-LECTURE--Fundamental-Differentiation-Formula-1:d
Don't get TRICKED by TRIG! 6 Proofs of trig derivatives [Fundamental Differentiation Formula 2]
https://odysee.com/@e-math_Video:6/-Lecture--Fundamental-Differentiation-Formula-2:b
UNDEFEATABLE! 4 Proof of Nature log and exp derivatives [Fundamental Differentiation Formula 3]
https://odysee.com/@e-math_Video:6/-LECTURE--Fundamental-Differentiation-Formula-3:8
---
Also feel free to download the printouts:
Part 1: Basic Differentiation Rule
https://drive.google.com/open?id=1BzfNiTdwkft06ekEII5VZmJyaFDwCwhw
Part 2: Derivatives of Trig Functions
https://drive.google.com/open?id=1JcEThHcMo-9_f1Oz-PPRIPjPC7MCqF7r
Part 3: Derivatives of Log and Exp Functions
https://drive.google.com/open?id=1JcEThHcMo-9_f1Oz-PPRIPjPC7MCqF7r
Formula List:
https://drive.google.com/open?id=1uWHrJLU6APRxP1YMEkXYBy0Rc6p7USD9
---
Timestamp:
0:00 Introduction
0:49 Tangent Line Problem
2:27 The First Principle
5:08 The Constant Rule
6:31 Power Rule
9:17 Constant Multiple Rule
10:57 The Sum and Differences Rules
12:28 Chain Rule
15:16 General Power Rule
16:10 Product Rule
19:52 Quotient Rule
---
Let's do math for FUN!
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VIDEO
[TUTO
-LECTURE--Trigonometric-Identities-2
This is the SECOND video of the SERIES: Trigonometric Identities. In this part of the series, I will be proving three Compound-angle Formulae
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Support me on YouTube:
https://youtu.be/RGH0FK7S5Rc
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Correction:
7:37 Masterpiece***
10:42 h^2 = c^2 - x^2 ***
---
Check out other videos in this series
NEW FRIENDS! Ah Tan, Ah Cos, Ah Sin and Pythagoras [Trigonometric Identities 1] https://odysee.com/@e-math_Video:6/-LECTURE--Trigonometric-Identities-I:0
ALL SCIENCE TEACHER CRAZY! 3 Proof of Compound-angle Formulae [Trigonometric Identities 2] https://odysee.com/@e-math_Video:6/-LECTURE--Trigonometric-Identities-2:b
SHADOW CLONE! 3 Proof of Double-angle Formulae [Trigonometric Identities 3] https://odysee.com/@e-math_Video:6/-LECTURE--Trigonometric-Identities-3:a
---
[SUGGESTED READING]
1. Reference triangle
https://mathbitsnotebook.com/Algebra2/TrigConcepts/TCReferenceTriangles.html
2. Triangle with more than 180-degrees internal angles
https://plus.maths.org/content/maths-minute-strange-geometries
3. Proof of compound-angle formula sin (A-B) geometrically
https://www.math-only-math.com/proof-of-compound-angle-formula-sin-alpha-plus-beta.html
---
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Other sources:
1. Coffin Dance Meme (Original) Music Video Funeral Dancers | Astronomia
https://www.youtube.com/watch?v=VIvv6GGWJ3s
2. "O Kawaii Koto" - Kaguya-sama
https://www.youtube.com/watch?v=9-TA73BBJlM
(Clip from Kaguya-sama: Love is War S1, original by A1-Pictures)
3. Unit Circle Animation
https://images.app.goo.gl/rJdR8F1SiUtayBri7
4.Sine and Cosine Relation Animation
https://images.app.goo.gl/WJpNn8rZpkGACgmW9
I DO NOT OWN ANY PART FROM THE CONTENT ABOVE
---
Feel Free to download the printouts:
[Trig Identities Series]
Part 1: Pythagorean Identities
https://drive.google.com/file/d/19ykMxvXjYo8LG0DCXc8lGuLaKrckibdA/view?usp=sharing
Part 2: Compound-angle Formulae
https://drive.google.com/open?id=1qXsFgtI6JBAEfQ2n-gVYc4r-eKoV3jW5
Part 3: Double-angle Formulae
https://drive.google.com/open?id=1doGXUg8K3gVcYFWP_Vzcbd6FAcbD7_Ky
---
Timestamp
0:00 Introduction
0:22 Unit Circle
5:55 Trig ratio on Cartesian Plane
6:44 cos (A-B)
10:06 Al-Kashi Law of Cosine
12:15 sin (A-B)
14:01 tan (A-B)
---
Let's do math for fun!
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