thank you so much. it has taken me hours of searching for the simple words "REMEMBER THIS FORMULA" to know that a formula exists and it wasn't a complicated mathematical reasoning i didn't understand
This was easy to do after the video was watched. I especially identified with the introduction, "Mathematics is something that many people struggle with and the way its set out doesn't often help with this." Thank you for explaining sigma notation.
Dont care if this is nearly a decade old, this was a really good video! Was trying to relearn this to help my younger sister and wow I finally completely understand all that I hadn't in my time learning this at school. Thank you very much!! This is greatly appreciated and is a wonderful resource!
Wow! You are such a good teacher! I’ve been searching for a way to understand sigma, your video is the only one that I found to make sense and make it so easy to understand! Appreciate it! I wish you were my math teacher! Thanks a lot ! 🙏
I watched 3 videos before this video and peoples there was explaining Sigma for others who already know whats going on, not for peoples who came for answer what is Sigma . But you gave a simple and clear explanation, thanks man...really appreciate.
Unfortunately You-tube did not exist when I have to study that , your explanation is much more easier and clear then the 10 pages we have to learn to come to the same conclusion. Good job and good Video :)
Thank you so much!!!!! I'm in AP calculus right now and I am not a math person. I have been lost since the beginning of this semester because I didn't understand this but now I do. You are excellent at explain calculus in a way that makes since to a right brain person and that is to hard to find. Thank you so much! You are my hero and just saved my grade!!!!!!
thank you for this! i am taking a statistics course and math has been my handicap! i look to graduate next year from college with a bachelors and need a statistics course and college algebra to graduate - i will look for more of your uploads! you are great at explaining clearly and concisely! Thank You!
Great explanation and I found your humor/personality uniquely charming. I wish I could personally thank you for this micro-lesson; I really appreciated this.
This video really helped explain the n(n+1)/2 principle my statistics class uses on a daily basis. My professor could never explain it like this. Thanks, bro!
Found by searching for sigma math. And thanks a LOT! I ran into this in my programming course and it assumed that you've used sigma before. There really should be more videos like this. It's great help.
i have some problems reading those notations, so i need more explanation . 1: n(n+1)is n multiplied by n+1 - how do i know this means that the sum of numbers between brackets are the multiplier? 2: (i+2) how do you come to the conclusion that this is anything other than the i which is the number below sigma , in this case 1 , needing 2 added to it , giving 3 . 3: the explanation of the second part of sigma 1-25 (i+2) , is a sum of sigma 1-25 with i=1 with a 2 next to it, how does this then become 25 times 2 ? if the rule were to be that every number on the right of the sigma calculation is a multiplier, as implied in the next summation sigma i=1 1-17 8i then there are two scenarios i see , either (i+2) means solve the sigma , get outcome i add 2, or solve sigma get outcome i add the outcome of same sum times 2 , [325 + 650] and since it is in brackets perhaps even use the sum of that as multiplier for the original sum.[325 x 975] how you get the 25 times 2 i dont know what i got from others was that i was the index meaning the start number 1 in this case , maybe it is the outcome as well , could someone please shed some more light on this?
Superb video. The video has helped me with my revision of Sequences and Series for my A Level Pure Maths exams. I have Pure 1 on 17/5/2017 and Further Pure 1 on 19/5/2017. Excellent video as it goes step-by-step. Thanks Vandomo
I don't think you still around, but this video was great! Thank your for uploading it! I really hope you will continue with Math videos, the explanation for this was easy and complete, with a bit of humor and that makes it a great educational video and I (I am sure a lot of people as well) will love to see more videos like this!
Hi, Thank you very much. I am doing an introductory class of statistics and this symbol looked so strange. The video was great and the explanation was very clear. Thank you again!!!
Oh my goodness! So helpful, I like understanding the logic behind formulas, it helps me remember! If I get this integration unit, it's thanks to you! Please keep up the amazing work!
Thank you SO MUCH for explaining this! I understood what the Σ meant but trying to comprehend how the numbers and variables that relate to it work into problems and examples was so frustrating. Now I feel better about it for sure. I found your video through a google search, by the way.
I don't think I can explain how I found it. Well, okay the short of it is... I googled "sigma" then saw the image "remember this!!" - Looked important so I clicked it and watched your video. Thank you.
Thank you loved the video. It really helped me to understand how to make things a lot easier and faster instead of doing all the calculations manually. Your explanation was great.
Thank you so much... I'm going away and won't be able to learn this stuff in class, so this video was very helpful to me while doing my make-up homework. Thanks again!
Thank you, I was stuck with proving that the summation of i is equal to n(n+1)/2... And i didn't know where to begin or even how to look at it. You showed me the answer but you also showed me how to look at summations differently... We have to turn it around! I am frustrated because I didn't see such a simple idea of summations, but we are not presented with summations in a conceptual way, just copying down notes from a board. Thanks
so, x1 = 5, x2 = 10, etc. up to x8 = 6? The question is asking you to find the sum of their squares, so: (x1)² + (x2)² + .... + (x8)² Substituting in the numbers you're given gives: 5² + 10² + 7² + 3² + 7² + 0² + 1² + 6², or: 25 + 100 + 49 + 9 + 49 + 0 + 1 + 36 And sticking that into a calculator gives: 269 Hope that helps :) !
Wow! I'm loving this video! I am taking Discrete Mathematics for Information Technology for the second time! THIS TIME I'm using the resources of UA-cam to help me. Your video is WAAAAY easier to understand that the textbook! I understood it clearly! Thanks!!!
That was amazing.id only learned the basics of sigma notation so far,and I have to say the more I’m learning it,it’s actualy sinking in a lot easier than a lot of other maths I’ve studied before.maybe because I’m gaining a better understanding of maths,or I’m just getting better at it,maybe both.i like it though.
@deadXbun Thanks :) ! I can tell you now that there is a formula for 1^2 + 2^2 + 3^2 + ... + n^2 - it's n(n+1)(2n+1)/6, and I'll prove that in two different ways in my video. Just to show that there's often no one 'correct' way to prove things :P .
@deadXbun That was meant to be the subject of my next video. However, I used a different background for that and later decided I didn't like it, so I'll have to re-make all the slides :( ..
You are so good sir your teaching style is the very best I happy for your performance but you are a very very very very very good teaching for every student of teacher you are all of the best thanks sir thanks.
That's only the answer to 25(26)/2 - and I made that clear in the video. A few seconds later in the video, I add the 25(2), and give the answer as 375.
I would argue that for more complex sigma notation functions, its just much easier to use the basic formula: n(a1 + an)/2 instead of breaking out stuff and that
thank you so much. it has taken me hours of searching for the simple words "REMEMBER THIS FORMULA" to know that a formula exists and it wasn't a complicated mathematical reasoning i didn't understand
Your explanations were simple!!! Thanks for teaching me how to use the (E) thingy.
+Kim Jimin Agreed.
Kim Jimin the E is called a sigma
The E thingy 🤣
@@avory7938 omg I didn't know I commented this, I was 11 back then lol, time flies so fast😅
This was easy to do after the video was watched. I especially identified with the introduction, "Mathematics is something that many people struggle with and the way its set out doesn't often help with this." Thank you for explaining sigma notation.
Dont care if this is nearly a decade old, this was a really good video! Was trying to relearn this to help my younger sister and wow I finally completely understand all that I hadn't in my time learning this at school. Thank you very much!! This is greatly appreciated and is a wonderful resource!
Wow! You are such a good teacher! I’ve been searching for a way to understand sigma, your video is the only one that I found to make sense and make it so easy to understand! Appreciate it! I wish you were my math teacher! Thanks a lot ! 🙏
I love it. Learned sigma now (I'm in second grade secondary) and it was actually simpler than I thought. Very thanks!
lol same here
That literally put capital sigma completely into perspective. I appreciate the time you put into making the video.
I watched 3 videos before this video and peoples there was explaining Sigma for others who already know whats going on, not for peoples who came for answer what is Sigma . But you gave a simple and clear explanation, thanks man...really appreciate.
Unfortunately You-tube did not exist when I have to study that , your explanation is much more easier and clear then the 10 pages we have to learn to come to the same conclusion. Good job and good Video :)
Thank you so much!!!!! I'm in AP calculus right now and I am not a math person. I have been lost since the beginning of this semester because I didn't understand this but now I do. You are excellent at explain calculus in a way that makes since to a right brain person and that is to hard to find. Thank you so much! You are my hero and just saved my grade!!!!!!
thank you for this! i am taking a statistics course and math has been my handicap! i look to graduate next year from college with a bachelors and need a statistics course and college algebra to graduate - i will look for more of your uploads! you are great at explaining clearly and concisely! Thank You!
Great explanation and I found your humor/personality uniquely charming. I wish I could personally thank you for this micro-lesson; I really appreciated this.
Ive been trying to find videos concerning the more advanced concepts for ages. thank you, very well explained.
i am currently doing my masters and you just solved a problem that had plagued me for years. Good job!
That was amazing! Simple explanation, with a little humor. Very easy to understand, Thankyou!
You helped me a lot man!!! THANKS!!!
Can you make more math videos? I love the way you explain, and I am shure I`m not the only one.
You said it. Simple and easy to follow.
I'm just a nerd that loves to do math for fun, I'm not even at this level of math yet, but I understand it now, thank you so much :)
I seen this awhile ago. I was looking for a refresher; this still is the best explanation and examples I have found, thank you sir!
Thanks for the explanation! I'm currently in Algebra I and wanted to learn sigma notation as a personal side project.
That was awesome! I just joined a Chemistry class that assumes all of the students know this. I needed a simple understanding, quickly! Thank you!
I came across this video because I was looking for an explanation of Σ. It was exactly what I was needing.
You just saved me, I have a test in this tomorrow and I still could not get it right! Now I feel so enlightened! THANK YOU so much!
You rock this just blew my discrete math teacher explanation out of the water
LOL at the picture of Micheal whatever... haha your awesome thank you. =)
*you're.
This video really helped explain the n(n+1)/2 principle my statistics class uses on a daily basis. My professor could never explain it like this. Thanks, bro!
That was perfect, my math teacher couldnt explain this to save her life, but you sir, did it perfectly.
Found by searching for sigma math. And thanks a LOT! I ran into this in my programming course and it assumed that you've used sigma before. There really should be more videos like this. It's great help.
i have some problems reading those notations,
so i need more explanation .
1: n(n+1)is n multiplied by n+1 - how do i know this means that the sum of numbers between brackets are the multiplier?
2: (i+2) how do you come to the conclusion that this is anything other than the i which is the number below sigma ,
in this case 1 , needing 2 added to it , giving 3 .
3: the explanation of the second part of sigma 1-25 (i+2) , is a sum of sigma 1-25 with i=1 with a 2 next to it,
how does this then become 25 times 2 ?
if the rule were to be that every number on the right of the sigma calculation is a multiplier,
as implied in the next summation sigma i=1 1-17 8i
then there are two scenarios i see , either (i+2) means solve the sigma , get outcome i add 2,
or solve sigma get outcome i add the outcome of same sum times 2 , [325 + 650]
and since it is in brackets perhaps even use the sum of that as multiplier for the original sum.[325 x 975]
how you get the 25 times 2 i dont know
what i got from others was that i was the index meaning the start number 1 in this case ,
maybe it is the outcome as well , could someone please shed some more light on this?
Superb video. The video has helped me with my revision of Sequences and Series for my A Level Pure Maths exams. I have Pure 1 on 17/5/2017 and Further Pure 1 on 19/5/2017.
Excellent video as it goes step-by-step.
Thanks
Vandomo
dude, next tuesday I will have a math test with this lesson which I didn't understand it at all at school. You're a life saviour.
I found this while searching for stigmas, because i didn't understood stigmas. Thanks for that video, as it explained what i needed to know.
I don't think you still around, but this video was great! Thank your for uploading it! I really hope you will continue with Math videos, the explanation for this was easy and complete, with a bit of humor and that makes it a great educational video and I (I am sure a lot of people as well) will love to see more videos like this!
Small implementation of the first summation in programming: sum = 0; for (i = 4; i
Hi,
Thank you very much. I am doing an introductory class of statistics and this symbol looked so strange. The video was great and the explanation was very clear.
Thank you again!!!
Oh my goodness! So helpful, I like understanding the logic behind formulas, it helps me remember! If I get this integration unit, it's thanks to you! Please keep up the amazing work!
I found this video by searching sigma explained in the UA-cam search bar, and it was indeed quiet helpful.
Thank you SO MUCH for explaining this! I understood what the Σ meant but trying to comprehend how the numbers and variables that relate to it work into problems and examples was so frustrating. Now I feel better about it for sure. I found your video through a google search, by the way.
Thanks a ton, I had to brush up on sigma notation for calculus and you did a great job of jogging my memory
I don't think I can explain how I found it. Well, okay the short of it is... I googled "sigma" then saw the image "remember this!!" - Looked important so I clicked it and watched your video. Thank you.
Thank you loved the video. It really helped me to understand how to make things a lot easier and faster instead of doing all the calculations manually. Your explanation was great.
Found this very useful. You are much more thorough than my lecturer.
this was awesome can you please show some examples with fractions and exponents
Really good job explaining and graphics.
Found by googling calculus summation formulas.
Area limit video would be wonderful.
you are a born mathematician if not a born teacher. you just made my day :-) thank you.
Thanks I understand the main concept, there was very few I couldn't comprehend but I'll watch the video a couple of more times.
loved the video excellent explanation! Went in to the mechanics of the sigma notation which most people don't explain. Do logarithms next
I found it because I'm taking online AP calculus and got confused. Thanks a ton! This helped so much!
Omg! Thank you sooooooooo much! I struggled to solve complex problems when there was sigma, but now I know what it means! Thank you!
Thank you so much... I'm going away and won't be able to learn this stuff in class, so this video was very helpful to me while doing my make-up homework. Thanks again!
Was a really good basic walk through i really enjoyed relearning that
Thank you, I was stuck with proving that the summation of i is equal to n(n+1)/2... And i didn't know where to begin or even how to look at it. You showed me the answer but you also showed me how to look at summations differently... We have to turn it around! I am frustrated because I didn't see such a simple idea of summations, but we are not presented with summations in a conceptual way, just copying down notes from a board.
Thanks
Thanks a lot it was really helpful ! and have you done a video for the use of sigma notation to write the sum ? From sequences of a set of numbers ?
so, x1 = 5, x2 = 10, etc. up to x8 = 6?
The question is asking you to find the sum of their squares, so:
(x1)² + (x2)² + .... + (x8)²
Substituting in the numbers you're given gives:
5² + 10² + 7² + 3² + 7² + 0² + 1² + 6², or:
25 + 100 + 49 + 9 + 49 + 0 + 1 + 36
And sticking that into a calculator gives: 269
Hope that helps :) !
8x=40
x1=5
x1*8=x8=5*8=40=x8=40
Just starting using cap sigma in uni, this helped clear out some stuff. thanks.
Well done! Love the wit! Dad was from Manchester-so nice to hear the English accent again!!
Very straight forward. Thank you from California.
Thank you for this simple explanation of sigma notation.
You are extremely talented and teaching this stuff!
That was so easy! Can you please do more videos?!
Thank you for that explanation, it really helped me understand. I just started with stats and I got stuck on this sigma notation.
Easy learning. Love that you sticked just to the point and explanation.
Hi yes this video was quite understandable. Would you please do a video explaining trigonometry from the very basics to a difficult level???
Wow! I'm loving this video! I am taking Discrete Mathematics for Information Technology for the second time! THIS TIME I'm using the resources of UA-cam to help me. Your video is WAAAAY easier to understand that the textbook! I understood it clearly! Thanks!!!
I liked the explanations. Can you add any real-world application that would explain the need for such a system of additons?
That was amazing.id only learned the basics of sigma notation so far,and I have to say the more I’m learning it,it’s actualy sinking in a lot easier than a lot of other maths I’ve studied before.maybe because I’m gaining a better understanding of maths,or I’m just getting better at it,maybe both.i like it though.
@deadXbun Thanks :) !
I can tell you now that there is a formula for 1^2 + 2^2 + 3^2 + ... + n^2 - it's n(n+1)(2n+1)/6, and I'll prove that in two different ways in my video. Just to show that there's often no one 'correct' way to prove things :P .
Fantastic video, what and amazing way of dealing with a set! You made it so simple!
Definitely an important formula to remember. Thanks
That was a great explanation and I'm a rank 1 noob at this stuff. I completely get it now. Thank you.
awesome! very helpful. you explained in 7 minutes what my teacher did in an hour
@deadXbun That was meant to be the subject of my next video. However, I used a different background for that and later decided I didn't like it, so I'll have to re-make all the slides :( ..
Thanks a lot! I wouldn't have understood this without your explanation! :)
Subscribed! Very concise and simple explanation, well done!
Brilliantly presented - SO useful and helpful!
Thanks :) really helped,and your voice is very soothing....
You are so good sir your teaching style is the very best I happy for your performance but you are a very very very very very good teaching for every student of teacher you are all of the best thanks sir thanks.
Neat. Can you please do one for double summations?
really good video, been looking for exactly this kind of thing
Such an interesting explanation. Thanks for sharing math.
In c++ that would look like function summ() for(n = 4; n
Thanks dude. I have a math test and this really helped.
That was very straighforward. Thank you!
this was very usefull! i understood you even better than i understand my own teacher
Why didnt I have math teachers like you ?
Thank you!
@TheFlipsta97 You're welcome. Glad I could help :) .
@rjravaz WNow, thanks! I'm glad you like it.
I'll have to make more of these.
Thanks, I was stuck in a situation of doing sigma with out knowing what it even was yet
Your so helpful ! Please can you do a video about z scores.
Awesome video! Thank you for being so clear, you have a good mind.
Thank you from a statistics dummy. Helped quite a bit.
Thank you so much! My teacher made it out to be really difficult but it was so much easier than expected. :) very much appreciated
That's only the answer to 25(26)/2 - and I made that clear in the video. A few seconds later in the video, I add the 25(2), and give the answer as 375.
Consider a video on Integration in Calculus. THanks
ugg.. You are extremely talented AT teaching this stuff!
I would argue that for more complex sigma notation functions, its just much easier to use the basic formula: n(a1 + an)/2 instead of breaking out stuff and that
The formula for that is 2(2^n - 1)
Hope that helped :) .
@kingsindianCR
what is the name of that foumula? what is that formula used for?
untill i saw this video i did not fully understand this type of equations! THANKS!
ohhhhhhh I get it now. Jeez. Math would not be hard if teachers could just EXPLAIN EVERY STEP!!! Thanks for posting. :-)
Thats a very good explanation thank you... demystified that symbol
omg this makes things so easy! God bless your SOUL!