I LOVE THIS CHANNEL! Mate! We as someone who's self-learning I always find out I know very little. Learning new math techniques and having an ordered list helps out SO MUCH!
Best high school level theorem: completing the square. Most SLICK theorem of any level: the isosceles triangle theorem proof where you just relabel the vertices.
I think the most essential proof is to show how come areas are calculated in square units and volumes are calculated as cubic units. They are super easy, but many children get them wrong because they do not know what's behind them.
All pretty standard, but in #9, "where n is any real number" means the binomial SERIES is needed, so the numerator is a convergent series with possibly infinitely many terms, giving the desired result.
Sir can you please make videos on these chapters (before 15 january) 👇👇👇👇 1. Sets 2. Relations and Functions 3. Trigonometric Functions 4. Principle of Mathematical Induction 5. Complex Numbers and Quadratic Equations 6. Linear Inequalities 7. Permutations and Combinations 8. Binomial Theorem 9. Sequences and Series 10. Straight Lines 11. Conic Sections 12. Introduction to Three-Dimensional Geometry 13. Limits and Derivatives 14. Mathematical Reasoning 15. Statistics 16. Probability 17.Relations and Functions 18. Inverse Trigonometric Functions 19. Matrices 20. Determinants 21. Continuity and Differentiability 22.Applications of Derivatives 23. Integrals 24. Applications of the Integrals 25. Differential Equations 26. Vector Algebra 27. Three-Dimensional Geometry 28. Linear Programming
Amazing job. I disagree about Therem sine for triangles. It should be 2R=a/sinA=b/sinB=c/sinC . If you draw the circumscribed circle for the triangle and focus on side length a it is opposite to angle A. Drawing a diameter with an endpoint of side a and completing the triangle we get a right angle triangle with the angle oposite to a still A as they subtend the same arc and points are on circle. From right angle triangle 2R=a/sinA so the radius of circumscribed circle is there
Why not show the qeometric proof of " completing the square?" ( in deriving the quadratic equation) Knowing "why" adding half the coefficient of x ( ie "b") squared makes a perfect square is easily shown in diagram form! Once this is shown... Then ... deriving the quadratic equation is just algebraic manipulation!
![Pythagoras Would Be Proud: High School Students' New Proof of the Pythagorean Theorem [TRIGONOMETRY]](http://i.ytimg.com/vi/p6j2nZKwf20/mqdefault.jpg)
I LOVE THIS CHANNEL! Mate! We as someone who's self-learning I always find out I know very little. Learning new math techniques and having an ordered list helps out SO MUCH!
Thanks!
first time ive seen a proof for pythagorean theorem which actually helped me understand it better
Continue your brain is bright you are genius thanks educator
Your Pythagorean Proof I've never seen but it is the simplest and easiest for me to remember. Thanks!
Excellent video! One thing to mention is where continuity let's you do direct replacement into the calculus proofs. 😊
Best high school level theorem: completing the square.
Most SLICK theorem of any level: the isosceles triangle theorem proof where you just relabel the vertices.
Where were this video from hiding from my life
Hidden for in Aristocratic _ bourgoisie colleges and universities.
Your life started 2weeks back?
I am from India.I enjoyed the precious session.thank you
Hey, big fan !! please something like "top 10" or "top 20" for integrals aka antiderivaties please
Please what
@@Adel69702 A video on integral / antiderivatives
La INTEGRAL es la inversa de la DIFERENCIAL.
Ver por ejemplo libro de GRANVILLE
I think the most essential proof is to show how come areas are calculated in square units and volumes are calculated as cubic units. They are super easy, but many children get them wrong because they do not know what's behind them.
We watched this video we will get knowledge in maths
Thank you sir proofing all these statements
I always wanted to know their proofs
Thank you ❤❤
Yessss, thank you
All pretty standard, but in #9, "where n is any real number" means the binomial SERIES is needed, so the numerator is a convergent series with possibly infinitely many terms, giving the desired result.
Very useful !!!
Sir can you please make videos on these chapters (before 15 january)
👇👇👇👇
1. Sets
2. Relations and Functions
3. Trigonometric Functions
4. Principle of Mathematical Induction
5. Complex Numbers and Quadratic Equations
6. Linear Inequalities
7. Permutations and Combinations
8. Binomial Theorem
9. Sequences and Series
10. Straight Lines
11. Conic Sections
12. Introduction to Three-Dimensional Geometry
13. Limits and Derivatives
14. Mathematical Reasoning
15. Statistics
16. Probability
17.Relations and Functions
18. Inverse Trigonometric Functions
19. Matrices
20. Determinants
21. Continuity and Differentiability
22.Applications of Derivatives
23. Integrals
24. Applications of the Integrals
25. Differential Equations
26. Vector Algebra
27. Three-Dimensional Geometry
28. Linear Programming
@@NullSpectralZenithCipherVoid this is the whole syllabus of Class 11th Mathematics lmao
Great!
This video shall be presented to any high school (1st year freshman in college) student!
Thank you very much sir 🙏🥰🎉
can we talk about how the top 10 mathematical proofs STARTS WITH A THEORY
Yeah but the Pythagorean Theorem is solved
What apps you are using dear sir please
Nice 👍
Keep using the thumbnail of this one theme, it looks BETTER 😄
Please help me know what software you use to make your tutorial
What software you used to make this video ?
Could I ask about the application which you used
Great 🎉🎉🎉
Amazing job. I disagree about Therem sine for triangles.
It should be 2R=a/sinA=b/sinB=c/sinC . If you draw the circumscribed circle for the triangle and focus on side length a it is opposite to angle A. Drawing a diameter with an endpoint of side a and completing the triangle we get a right angle triangle with the angle oposite to a still A as they subtend the same arc and points are on circle. From right angle triangle 2R=a/sinA so the radius of circumscribed circle is there
10:03 how?
Sir please 🙏🌷🙏🌷 help me to understand quintic equations
Very good
6:54 why didnt you divide both sides by a, but only divided the left part?
You can't divide both by a because you need to learn when to divide or rules in division of algebraic expression in fractions 😊😊
Sir my wish...next time can you make videos on class 9 stuff...
Continue 🔥🔥
Alguém dubla isso pro pt-BR 😢
Nice!
I may build my own house contemplating on these concept😅.
Que vous bénisse, merci
❤❤❤
NVIDIA CEO went undercover😂😂😂
So cosine law is just the formula for vector subtraction.
......what?
PDF of the video pls (don’t ignore )
Math without proof is called religion.
Why not show the qeometric proof of " completing the square?" ( in deriving the quadratic equation)
Knowing "why" adding half the coefficient of x ( ie "b") squared makes a perfect square is easily shown in diagram form!
Once this is shown...
Then ...
deriving the quadratic equation is just algebraic manipulation!
8:28 let me lable deez altitudes. you’re not slick. god i hate mathematics
@@dhalsam you hate logic and sound theory? makes sense