![Maths Explained](/img/default-banner.jpg)
- Видео 268
- Просмотров 8 297 108
Maths Explained
Великобритания
Добавлен 25 авг 2015
Maths videos to help you improve your GCSE and A-level results.
Over time I have found that I like to try to answer the "why" questions, not just the "how" questions. Why do we do it this way and not that way? If you are looking for how to learn certain skills in mathematics, you will find that here. If you are also looking for the "why" of things, you will find a decent amount to interest you.
Over time I have found that I like to try to answer the "why" questions, not just the "how" questions. Why do we do it this way and not that way? If you are looking for how to learn certain skills in mathematics, you will find that here. If you are also looking for the "why" of things, you will find a decent amount to interest you.
AS Level Maths | Exponential Functions (bonus story time)
In this video learn about what is an exponential function, examples of exponential functions, what is exponential growth, and graph transformations.
Small note on terminology - at the beginning of the video i was using the word “unknown” when it is probably more correct to say “variable”
discord: discord.gg/M54cxgaZ
❤️ ❤️ ❤️ Support the channel ❤️ ❤️ ❤️
ruclips.net/channel/UCf89Gd0FuNUdWv8FlSS7lqQjoinmgoc
Small note on terminology - at the beginning of the video i was using the word “unknown” when it is probably more correct to say “variable”
discord: discord.gg/M54cxgaZ
❤️ ❤️ ❤️ Support the channel ❤️ ❤️ ❤️
ruclips.net/channel/UCf89Gd0FuNUdWv8FlSS7lqQjoinmgoc
Просмотров: 667
Видео
Areas under curves & below the x axis | AS level mathematics
Просмотров 7239 месяцев назад
How to find areas under curves and below the x axis using integration. Calculus playlist: ruclips.net/p/PLm4auYJQkF_oQTzM_mQ-P4BqG2PsqftUE&si=nhLEjqxBBZkY S6 ❤️ ❤️ ❤️ Support the channel ❤️ ❤️ ❤️ ruclips.net/channel/UCf89Gd0FuNUdWv8FlSS7lqQjoin
Quadratic Inequalities | GCSE Higher
Просмотров 5099 месяцев назад
This problem has two quadratic inequalities and you need to find the set of values that satisfy both. Practice the skills used in this video ⬇️ quadratic inequalities: ruclips.net/video/5qgGyfNJ4g8/видео.html why do we "flip" the inequality sign? ruclips.net/video/5wkAySncu7o/видео.html difference of two squares: ruclips.net/video/jwAzjWeAPCg/видео.html ❤️ ❤️ ❤️ Support the channel ❤️ ❤️ ❤️ ruc...
Simplifying Fractions with Surds | GCSE Higher
Просмотров 1 тыс.9 месяцев назад
An exam question involving simplifying fractions with surds, combining fractions, rationalising the denominator and conjugates. ❤️ ❤️ ❤️ Support the channel ❤️ ❤️ ❤️ ruclips.net/channel/UCf89Gd0FuNUdWv8FlSS7lqQjoin
oh so you like maths? solve all the equations
Просмотров 2,1 тыс.10 месяцев назад
Prove y^2=11x 10 has no integer solutions ❤️ ❤️ ❤️ Support the channel ❤️ ❤️ ❤️ ruclips.net/channel/UCf89Gd0FuNUdWv8FlSS7lqQjoin
Definite Integrals | AS Level Mathematics
Просмотров 53710 месяцев назад
How exactly can we use the antiderivative to find areas? How do we find a definite integral? In this video you can see the process including examples. ❤️ ❤️ ❤️ Support the channel ❤️ ❤️ ❤️ ruclips.net/channel/UCf89Gd0FuNUdWv8FlSS7lqQjoin
Indefinite Integrals | AS Level Mathematics
Просмотров 28110 месяцев назад
How to find the indefinite integrals (antiderivatives) using the basic rules of integration. Something I wanted to say but forgot to mention in the video is that you can always check your solution by differentiating it! If you differentiate your integral and get something different to the original function, you know you did something wrong! To be a bit clearer about antiderivatives, you could c...
The Fundamental Theorem of Calculus - connecting differentiation and integration
Просмотров 65210 месяцев назад
In this video we discover an amazing connection between differentiation and integration. I should point out that this is technically 1 part of the theorem which says "given F is some integral of f, the derivative of the integral gives f". We will continue with this in further videos. ❤️ ❤️ ❤️ Support the channel ❤️ ❤️ ❤️ ruclips.net/channel/UCf89Gd0FuNUdWv8FlSS7lqQjoin
What is Integration? | AS Level Mathematics
Просмотров 32211 месяцев назад
Here we look at a very old problem: how do we find the area under a curve like x^2? This problem dates back thousands of years, but it wasn't until Newton and Leibniz in the 17th century that we had a general solution. In this video we look at "integration from first principles", but also recognise that this method of integration doesn't seem very practical, and look forward to discovering more...
Minimum distance to a curve | AS level Mathematics
Просмотров 54411 месяцев назад
Did you find this problem interesting? Please like and subscribe! :) ❤️ ❤️ ❤️ Support the channel ❤️ ❤️ ❤️ ruclips.net/channel/UCf89Gd0FuNUdWv8FlSS7lqQjoin
AS level Mathematics - direct proof example
Просмотров 30411 месяцев назад
❤️ ❤️ ❤️ Support the channel ❤️ ❤️ ❤️ ruclips.net/channel/UCf89Gd0FuNUdWv8FlSS7lqQjoin
Modelling with Differentiation | AS level Mathematics
Просмотров 62111 месяцев назад
Modelling with Differentiation | AS level Mathematics
A fun trig equation | cosx+cos3x=sinx+sin3x
Просмотров 68211 месяцев назад
A fun trig equation | cosx cos3x=sinx sin3x
A useful method for solving trigonometric equations | cos2x+sin2x=1
Просмотров 1,8 тыс.11 месяцев назад
A useful method for solving trigonometric equations | cos2x sin2x=1
Second Order Derivatives & Stationary Points (and Fermat's Theorem?)
Просмотров 26711 месяцев назад
Second Order Derivatives & Stationary Points (and Fermat's Theorem?)
Ratios problem... or is it? GCSE Higher Mathematics Problem Solving
Просмотров 641Год назад
Ratios problem... or is it? GCSE Higher Mathematics Problem Solving
2 GCSE Higher Geometry Exam Style Problems
Просмотров 695Год назад
2 GCSE Higher Geometry Exam Style Problems
Ratios exam style question GCSE Mathematics
Просмотров 365Год назад
Ratios exam style question GCSE Mathematics
Four Basic Rules of Differentiation - AS Level Mathematics
Просмотров 1 тыс.Год назад
Four Basic Rules of Differentiation - AS Level Mathematics
Finding the Derivative from First Principles - AS Level/Year 12 Mathematics
Просмотров 19 тыс.Год назад
Finding the Derivative from First Principles - AS Level/Year 12 Mathematics
Solving Trigonometric Equations w/sec, cosec, cot - A-Level Maths
Просмотров 2,7 тыс.Год назад
Solving Trigonometric Equations w/sec, cosec, cot - A-Level Maths
I really like this solution! An elegant geometry problem
Просмотров 616Год назад
I really like this solution! An elegant geometry problem
What is differentiation? - AS level mathematics
Просмотров 1,6 тыс.Год назад
What is differentiation? - AS level mathematics
GCSE Maths Higher - Tree diagrams will save you!
Просмотров 1,2 тыс.Год назад
GCSE Maths Higher - Tree diagrams will save you!
Take a STEP up! Solving a neat trig equation
Просмотров 6 тыс.Год назад
Take a STEP up! Solving a neat trig equation
AS Mathematics - Modelling with Vectors
Просмотров 1,5 тыс.Год назад
AS Mathematics - Modelling with Vectors
AS Level Vectors - Solving Geometric Problems
Просмотров 7 тыс.Год назад
AS Level Vectors - Solving Geometric Problems
U saved my life bro 😭😭😭
10Q i have some concept
How do u solve this equation....(2y+3)to the power of two=25
learnt more from this 10 minute video than my actual teacher
❤the simplicity
Who else is watching this in august 2024
Hello! Thank you for your very clear explanation, i have a question: this proofs seem true only when alfa and beta are acute angles. How to prove that they hold for any alpha and beta (even negative or 188 degrees or 520 degree or any other angle)?
Great question. These kinds of geometric proof don’t prove the case for angles > 180 directly but you can use other identities like sinx = sin (180-x). Eg if you have sin(150-x) it’s equivalent to sin(30+x) or sin(230-x)=sin(-50+x). I think that should be enough to extend these proofs.
@@maths.explained Thank you for the answer, but at that point one could ask: "ok but how to prove the other identities?" I think the true starting point (of the other identities too) is taking the distance between any two point on the goniometric circumference and proving cos(x+y) = cos x cos y - sin x sin y. Then from there gaining all other trig formulas whatsoever
Thanks 🙏
why does your base number the same I thought it had to be added?
Pakia😊
I love you
Can you do more of this please
I'm writing a math exam like tomorrow, pressure 😅😅😅
Thanks... This was very helpful.
im so tapped
I have a test tomorrow, like ok Imma fail but at least I understand what I'm about to fail😊😊welp I'll fail mostly if it's fractions
😂😂
I'm just bad at math I'm 😮 still lost
I have an exm in an hour and I am here. I AM SO DEAD TOADY ! Update: I think I'll pass
Thank you
on the last question you did not confirm how you got 3p, but overall it was a good video
is this substitution
cool
Thank you so much, this helped a lot!
I think this trigonometric eq could be solved another way: if we multiply both sides by sin(x), and use the identity 2sin(u)cos(u)=sin(2u) twice, we reach this equation: sin(4x)cos(3x)=sin(x) Now, using the identity sin(p)cos(q)=1/2(sin(p+q)+sin(p-q)), we reach 1/2((sin(7x)+sin(x))=sinx or equivalently, sin(7x)=sin(x) which results in 7x=2kpi+x and 7x=(2k+1)pi-x which leads to two general answers: x=k(pi/3) and x=(2k+1)pi/8 Since k*pi which is the zero-making roots of the multiplying factor, sin(x), and is not the root of the original equation, we have to put this limitation on k: k can be any integer number but the coefficients of 3. For the 2nd general answer, we don't have such a problem insomuch as 2k+1 would never be equal to any integer coefficient of 8 and this form of answer is valid for any k.
literally thank you so much i owe you my grades omd
So helpful
Thanks so much bro I’ve learned more in a 7 minute video than 10 months of gcse
Thanks 😊 much sir
3 days until my maths paper 1 mock god help me
Exam tmrw but how come you can’t use ven diagram for question 4 a??
I think you need to use the conditional probability formula. I can’t see how to get the answer directly from a Venn diagram
My teacher is the best in the world and I'm watching this just because it's part of my syllabus
Thanks sir your are the person I have found who have clarified my doubts with easy formulas which made me understand easier
sos hermoso, explicas mejor que la peroncha de la profe de matematica!!
you explain so well omg
It might take me a few looks at the tutorial in order for me to figure out the equations
Watching this the day of exam
Im a year 8 and i got a big test tmrw so im just trying to atleast get 70 😢
you saved my life
You could have done Q14 in an easier way We know that the ratio of tulips to roses is 6:5 so we can say 6/11 of the total number of flowers are tulips We also know that the ratio of red tulips to yellow tulips is 3:4 so we can say 3/7 of the total number of tulips are red So out of our total number tulips (6/11) 3/7 of them are red So we do 6/11 x 3/7 which will give us 18/77 And the video was great! Thanks for the help!
I like the video
This was genuinely a life saver here in 2024 I don’t think my math teacher could compare
I have a test today, I will update if I failed or not, if so how bad I failed
😍😍😍
I don't understand either
Watching a day before my exam, thanks so much 😂
isent the hypotenus always the longest angle ?
Who else here for get 100 percent in summer assessment 😭😭🖤
thanks!
You’re the best