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MathSinger
United States
เข้าร่วมเมื่อ 20 เม.ย. 2023
Teaching Mathematics through Video and Song
A CHALLENGING (and typical) LIMIT | Evaluating Limits | Calculus I
Limits in Calculus can be investigating in multiple ways: GRAPHICALLY, NUMERICALLY, and ANALYTICALLY. Graphical and numerical analyses are quick and help to provide a sense of the correct value of the limit. An analytical analysis provides an exact value with 100% certainty. This video uses a challenging -- yet, typical -- example to show how to investigate the value of a limit using all three methods. The example came from a standard textbook that is frequently used in a Calculus I course.
มุมมอง: 40
วีดีโอ
Master Linear Functions with 3 Simple Steps | Linear Equations | Algebra | Calculus
มุมมอง 41ปีที่แล้ว
Constructing linear functions and linear equations is an essential skill in Algebra and Calculus. Some problems give two points and ask you to construct the equation of the line that contains them. Others give a point and a slope and ask that you find the line that is being described. In Calculus, you are often asked to find the equation of the line that is tangent to a graph at a particular po...
A Subtraction Lesson from 1478 | Arithmetic in the 15TH CENTURY
มุมมอง 156ปีที่แล้ว
Multi-digit subtraction in 1478 Italy looked much different from subtraction in 21st century American classrooms. American students are taught to "borrow" from the column to the left when the digit being subtracted is greater than the digit above. On the other hand, 15th century Italian students were taught to replace the larger digit with its "complement" and ADD the complement to the digit ab...
Can YOU find the radius of the small yellow circle? | Step-by-step instructions| Pythagorean theorem
มุมมอง 99ปีที่แล้ว
Learn how to find the radius of a circle that is in between and tangential to two larger circles with known radii. Quick and simple tutorial by MathSinger. This video was inspired by a tutorial that was produced by @PreMath in 2021. PreMath's excellent tutorial asked the viewer to find the radius of a circle that is pairwise tangential to two larger circles of radii 4 and 2 when all three circl...
The Ultimate Guide to Integration: 1 Integral + 3 Techniques + 4 Solutions | Trig Sub |Parts |u Sub
มุมมอง 39ปีที่แล้ว
Does every integral (indefinite integral, antiderivative) call for a specific integration technique? Many Calculus 2 students believe that there is ONE technique for each integral in their assignment. NOTHING COULD BE FURTHER FROM THE TRUTH!!! This video shows FOUR different ways to evaluate ONE integral using THREE different basic integration techniques: Trigonometric Substitution, Integration...
Evaluating a CHALLENGING INTEGRAL by INTEGRATION BY PARTS | Integral Calculus | Calculus 2
มุมมอง 61ปีที่แล้ว
The method of INTEGRATION BY PARTS is useful for finding antiderivatives (integrals, indefinite integrals) in Calculus. It is a favorite integration technique by students of Calculus 2 (second year Calculus) because ANY INTEGRAL at all can be expressed in a new way by using this method. (Sometimes, the new expression can even be useful!) This video shows how to apply INTEGRATION BY PARTS to an ...
Evaluating a CHALLENGING INTEGRAL by TRIGONOMETRIC SUBSTITUTION | Integral Calculus | Calculus 2
มุมมอง 83ปีที่แล้ว
The method of trigonometric substitution (trig substitution) is useful for finding antiderivatives (integrals, indefinite integrals) in Calculus. Substitutions arising from Pythagorean identities are common ways of solving challenging integrals. However, integrals can be rewritten using ANY substitution at all. This video shows how to apply trig substitution to an integral that almost begs for ...
Evaluating an integral twice using 2 UNEXPECTED u-substitutions!
มุมมอง 53ปีที่แล้ว
The method of u-substitution is useful for finding antiderivatives (integrals, indefinite integrals) in Calculus. However, u-substitution can be applied to far more integrals than most students believe. In fact, you can rewrite ANY integral using u-substitution by letting u equal ANYTHING AT ALL. The game then becomes isolating the differential dx from your new differential du, and finding a wa...
Evaluating an integral with an UNEXPECTED u-substitution (method 1)
มุมมอง 56ปีที่แล้ว
The method of u-substitution is useful for finding antiderivatives (integrals, indefinite integrals) in Calculus. However, u-substitution can be applied to far more integrals than most students believe. In fact, you can rewrite ANY integral using u-substitution by letting u equal ANYTHING AT ALL. The game then becomes isolating the differential dx from your new differential du, and finding a wa...
Evaluating an integral with an UNEXPECTED u-substitution (method 2)
มุมมอง 47ปีที่แล้ว
The method of u-substitution is useful for finding antiderivatives (integrals, indefinite integrals) in Calculus. However, u-substitution can be applied to far more integrals than most students believe. In fact, you can rewrite ANY integral using u-substitution by letting u equal ANYTHING AT ALL. The game then becomes isolating the differential dx from your new differential du, and finding a wa...
Casting Out Nines... and Elevens? Check your answers with this ANCIENT magic trick
มุมมอง 287ปีที่แล้ว
Welcome to our educational journey into the fascinating world of Casting Out Nines! 🎓 In this eye-opening TH-cam video, we'll uncover the secrets of this ancient yet powerful mathematical technique that will forever change the way you perform arithmetic checks! 🧮 Why waste time double-checking your multiplications or additions manually when you can effortlessly verify their accuracy using Casti...
MASTERING LONG DIVISION: Exploding Dots Technique
มุมมอง 466ปีที่แล้ว
Using pictures to understand division / why division by zero is undefined: th-cam.com/video/rDWfpIqP7x8/w-d-xo.html Link to the Global Math Project: globalmathproject.org/ James Tanton's Exploding Dots videos: th-cam.com/play/PLoBaXWXBi2d6JJ-HpXk38SmkCFrGX9iJD.html Description of this video: Welcome to our fascinating journey into the world of long division, where math meets explosive visual re...
Mastering Division by Zero: A Visual Guide to Picture Division
มุมมอง 134ปีที่แล้ว
Mastering Division by Zero: A Visual Guide to Picture Division
Math in Wonderland: How to DIVIDE by 11 by SUBTRACTING
มุมมอง 184ปีที่แล้ว
Math in Wonderland: How to DIVIDE by 11 by SUBTRACTING
Division in Wonderland: Lewis Carroll's Remarkable Technique for Dividing Integers by 9
มุมมอง 73ปีที่แล้ว
Division in Wonderland: Lewis Carroll's Remarkable Technique for Dividing Integers by 9
Fundamental Theorem of Ring Homomorphisms: Identifying the homomorphic images of a ring
มุมมอง 79ปีที่แล้ว
Fundamental Theorem of Ring Homomorphisms: Identifying the homomorphic images of a ring
Abstract Algebra: Definition of Subrings and Examples of Ideals in Ring Theory
มุมมอง 232ปีที่แล้ว
Abstract Algebra: Definition of Subrings and Examples of Ideals in Ring Theory
Ring Varieties in Abstract Algebra: Every FINITE integral domain is a field
มุมมอง 31ปีที่แล้ว
Ring Varieties in Abstract Algebra: Every FINITE integral domain is a field
Ring Theory: Algebraic structures in Abstract Algebra with two mathematical operations
มุมมอง 63ปีที่แล้ว
Ring Theory: Algebraic structures in Abstract Algebra with two mathematical operations
Integration of sec x using a SURPRISING technique: How to integrate sec(x) dx by u substitution
มุมมอง 67ปีที่แล้ว
Integration of sec x using a SURPRISING technique: How to integrate sec(x) dx by u substitution
Fundamental Theorem of Homomorphism in Group Theory (part 2) - identifying ALL quotient groups
มุมมอง 34ปีที่แล้ว
Fundamental Theorem of Homomorphism in Group Theory (part 2) - identifying ALL quotient groups
Abstract Algebra: The Kernel of a Homomorphism is a Normal Subgroup (Fundamental Theorem part 1)
มุมมอง 48ปีที่แล้ว
Abstract Algebra: The Kernel of a Homomorphism is a Normal Subgroup (Fundamental Theorem part 1)
Abstract Algebra: Homomorphisms and Quotient Groups
มุมมอง 62ปีที่แล้ว
Abstract Algebra: Homomorphisms and Quotient Groups
Abstract Algebra: What is a homomorphism of a group?
มุมมอง 49ปีที่แล้ว
Abstract Algebra: What is a homomorphism of a group?
Cayley's Theorem in Group Theory magically proved: Every group is isomorphic to a permutation group
มุมมอง 73ปีที่แล้ว
Cayley's Theorem in Group Theory magically proved: Every group is isomorphic to a permutation group
Abstract Algebra: The Magic of Automorphisms--Exploring Symmetry in Mathematics
มุมมอง 41ปีที่แล้ว
Abstract Algebra: The Magic of Automorphisms Exploring Symmetry in Mathematics
Abstract Algebra: Isomorphisms and Isomorphic Groups -- The POWER of Mathematical Definitions
มุมมอง 68ปีที่แล้ว
Abstract Algebra: Isomorphisms and Isomorphic Groups The POWER of Mathematical Definitions
Abstract Algebra: Alternating Groups -- the EVEN PERMUTATIONS of a Group
มุมมอง 252ปีที่แล้ว
Abstract Algebra: Alternating Groups the EVEN PERMUTATIONS of a Group
Calculus with Polar Coordinates (Calculus 2)
มุมมอง 34ปีที่แล้ว
Calculus with Polar Coordinates (Calculus 2)
Derivatives with Polar Coordinates (Calculus 2)
มุมมอง 18ปีที่แล้ว
Derivatives with Polar Coordinates (Calculus 2)
This goes hard
Thanks for watching!
THis is great but which method is more efficient in kids?
I've just now seen your comment. Thank you for watching! To answer your question, I suspect that the most efficient method is the one that they learn first. Both methods are merely mechanical algorithms, and neither one offers any particular advantage over the other. That said, it is SO interesting to learn different approaches to solving the same problem!
This was wonderful, thank you. I cannot believe nobody else has commented in a year. I love neat little math tricks like this.
Thank you! I'm glad that you enjoyed the video.
Excellent
So glad that you enjoyed it! Thank you for watching.
*promo sm*
nice one
Thank you for watching!
Is this how kids are learning today? Omg!😢
This is how I WISH that kids were learning. It's important to have reasons for the rules that we are taught. Please consider watching the full video so that you can appreciate what I'm trying to share. th-cam.com/video/8aCu6bUaLyw/w-d-xo.html
Just found your channel. I wish you luck and am excited to see what content you come up with.
Thank you! I'm glad that you found MathSinger. Welcome aboard. I've just posted a video discussing division by zero. I hope that you like it! th-cam.com/video/rDWfpIqP7x8/w-d-xo.html
Channels awesome!!
Thank you so much! I'm glad that you're enjoying my videos. Come back often!
F -> (AD)(BC) RF -> (DB) R^2 F -> (ABDC) R^3 F -> (AC) R^4 F -> (AD)(BC)
Great job! You got 4 out of 5. Plus, you get bonus points for having done the homework in the first place. If you're still motivated, please look at R^2 F one more time.
@@theMathSinger (AB) (DC)? Idk why i did this. But which branch does this maths cones under?
( A B )( D C) is correct! Well done. The study of permutations most neatly falls under the area of group theory. An introduction to group theory is studied in a course that I used to teach called Abstract Algebra. Thank you for your interest!
@@theMathSinger ooh that strikes something. I think I did group theory earlier.