Summation Formulas and Sigma Notation - Calculus

[@TheOrganicChemistryTutor]

Applications of Integration - Free Formula Sheet: bit.ly/3ZdKSnK Final Exams and Video Playlists: www.video-tutor.net/ Calculus 1 Final Exam Review: kzbin.info/www/bejne/jZ6lq6B-p9pqbtk Next Video: kzbin.info/www/bejne/j4Wugqatl5tjhtk

[@writethatdown100]

Do you use MS Paint?

[@superduperbooper3987]

You explain this better than my college professor does. You actually go through and explain what everything means and why is works that way instead of assuming that we know it.

[@dylanrip2409]

😊😅 3:45 😅😅

[@jennikamcintosh2135]

You deserve so much more financial compensation for these videos. I'm paying over $7000 a year for my university level education, and as a part of my lecture we are supposed to watched this video. You're basically a professor; hundreds of my peers are watching this video and you are currently teaching them. Big up man

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In America we are paying 10x that for college. Sometimes even more. This guy should be taking it in.

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omg

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@@jakupi1304 If you are not an American, it can go up to that price. Like my community college is around 55K-60K a year. It usually 3 time of the normal tution.

[@JessBooth]

You have no idea how much you helped me out. Today was my first day of calc 2. I walked out of there feeling so lost but NOW i understand what my professor was trying to teach us. It makes so much more sense now. THANK YOU KIND SIR!!!

[@bryanluna2609]

u learning summations in calc 2? im doing it in calc 1

[@JessBooth]

@@bryanluna2609 I watched other lectures and I saw that they learned it in calc 1 also. Idk I guess it’s different in every state. But we went over it once (that day).

[@francisangelopantalla4177]

Professor? I didnt even finish 5th grade yet

[@BubblyVFX]

Mood

[@LoFoSho]

@@bryanluna2609I’m doing it in pre-calc bro I don’t underatand. This stupid. I don’t need this for my major and yet it’s required 😭

[@viktoriiama6226]

Can I just say how thankful I am for this. I barely understood how these work, but you actually made me enjoy doing them because I understand everything.

[@locketom]

Well, this just summed up week 1 of my calc 2 course, in 20 minutes

[@keeshannclay6656]

Wow

[@benjaminmichael2007]

I wish I were learning this in calc 2

[@DrewKHxC]

How’d you pass your grade 12, I thought you only made it to 11 in jail

[@mryup6100]

Damn Ricky thought you went to jail...

[@PulloGorko]

This was towards the ending of my Calc 1 course

[@jamestudio2014]

Im an eighth grader in a 10th grade geometry class, and I want to finish high school math as early as possible so I can advance into bigger and better things. The fact that this man helped me understand sin and cos functions, basic algebra, sigma notation, geometry, trigonometry, everything from basic maths to calculus, I am just so grateful! Edit: In 10th grade now, AP stats 2nd 3rd tri, taking pre calc rn!!!

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You're making the right choice. You'll be getting into college level calc by the time you're in 10th grade ;) keep at it brotha

[@bungle5899]

I’m a junior in college and it’s my first time lookin at this junk props to you 😭

[@margaret77777]

as an eleventh grader that took the same path as you (and is currently taking calc), it is 100% worth it. keep pushing through!!! u got this :))

[@xDaksh777]

can you tell me some sources for it? like for all the clasess to higher lectures PLEASE in this country, syllabus is too low... PLEASE​@@margaret77777

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im in 10th taking Euclidean geometry, Done with Trig , and done taking Alg 1-3 and i have highest AP score with a ACT of 36 and iq is 185-215 believe what you want but not tryna brag just stating my life accomplishments.

[@124system]

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TOCT for short

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What are you engineering in?

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Me too

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Im highschool student... Thxxxx... Do you guys know if the typical element is in radical form?

[@carlm2979]

Same

[@jopittajibade1854]

Same shiess bru

[@VijayKumar-mj5zy]

This is the first time as Indian that i had to watch the maths video of someone from different nation, and i must say, you are no less than indian youtube teachers. Love from INDIA

[@mark5401]

I havent even started high school and i know something that college students need to know because you just have that kind of talent that most professors dont, you make every lection fun and simple. You should be proud of yourself because you taught so many students not just maths but chemistry, biology, physics stocks and even how to organize your time and money on a college. Wish you luck Julio❤️.

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It’s called passion. You need passion to learn something that you aren’t even supposed to learn.

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I have passion am a third grader who knows calculus

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What this guy is teaching we have been taught in 6th grade

[@cube1720]

@@Imjustanormalgoat ∫2x^2+3x

[@michaelraml4465]

just started calc 2, walked out of the lecture lost. u made everything make sense, and I even looked back at my notes from lecture and I now understand all of the stuff he was doing. Im gonna be watching every calc 2 video you got, and you will likely single handedly be the reason I do well in this course. you have saved my butt so many times these past 3 years in university its insane.

[@antonbashkin6706]

These videos are priceless if you want to move fast through your course and get comfortable with solving the essential problems, great work as always!!!

[@miliswanashwa7087]

Dear sir you have officially became my tutor. This is the second video I've watched and my can I say I don't need any textbook. You explain so thorough. Thank you so much. I'm going to be a regular here until I graduate.

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Thank you so much man. I've learned more about what's on my test tomorrow in a night of watching your vids than the last 4 weeks of lecture. You're doing God's work.

[@funkknuckle]

I'm working my way through the maths portion of a computer science degree. My text book gave an explanation of this concept which made it seem completely incomprehensible, but you made it seem straightforward and actually even easy. I was able to answer all of your examples! You have a great talent for teaching and you also have yourself a new subscription.

[@General_MacArthur]

sigma 🍷🗿

[@SomewhatCorrect]

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[@cadeaulazare1427]

wow thank you very much i don't know how i can deeply appreciate for the work you have done, it really helped me a lot, i had always problems in summation problems like this, because every moment i asked my lecture "how have you done that?" he just said "I'm lecturing I'm not teaching" so most of times i was in depression but now you have overcame my depression and you have made my university easy thank you very very much. you are more than something I'm failing to express.

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by far my favorite online teacher. i odnt usually comment on these type of videos but im speechless. you answered all the questions in my head

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Soothing voice, clear steps, various and many examples. Literally math heaven for students! Great work!

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I really don't know how to thank this proffesor, I got As in Mathematics and Physics at AS Level because of him, I'm really grateful sir keep up, so far there's no a proffesor I can compare you to worldwide.

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This guy really helped me out in all my math problems since I was in my 9th grade 😂 I give you all my gratitude ❤️

[@100feetsTall]

I love how this formulas just appear out of thin air in my textbook without explanation on how they came to be. I guess the leg work is part of the learning process. Thank God you're here.

[@annurtwo8621]

you're honestly whats been helping me pass calc. Going on my second year using your videos. and I'm obsessed with it! You're my go to. Thank you so much!! :')

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You are the best KZbinr of all time, this channel has helped me out so much

[@kepler2995]

I am a college student and I needed to revise some things for my upcoming statistics exam.... I wish I had a teacher who could explain it so easily when I was in high school, would have saved me a lot of heartache. Very well explained and easy to follow, thank you! ☺️

[@parkerneilson6255]

no, thank *you* kepler

[@whiteink1924]

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[@The_Black_Caps]

Y'all learn this only in college?!

[@kepler2995]

@@The_Black_Caps You need to revise easy concepts like these as well, if you haven't touched them in a while :)

[@The_Black_Caps]

@@kepler2995 oh.. i thought you guys had it for college literally..i am sorry man

[@georgesadler7830]

Professor Organic Chemistry Tutor, thank you for another well explained and incredible video/lecture on Summation Formulas and Sigma Notation in Mathematics. This video is fun to watch from start to finish. This is an error free video/lecture on KZbin TV with the Organic Chemistry Tutor.

[@yoongiminyoongi5268]

I understand this more than my math teachers lesson

[@VoidHalo]

Take it from somebody who is self taught outside of school, without your math teacher at least exposing you to the material, this likely wouldn't be as easy to follow. Videos like this work best as a supplement to other resources rather than a replacement. In my case, in place of a teacher and a formal education, I need to consult multiple resources on the same subject to ensure I have a proper grasp of it and there are no gaps in my knowledge. I do agree that it's harder for some people to learn having a teacher explain something to them. My problem in a school setting was many teachers simply tell you how math works, but not why it works. By learning the why, I can gain a much more intuitive understanding, rather than just memorizing seemingly arbitrary facts and concepts.

[@user-rj8tr6sp7e]

Man i don't know what to say, you saved me so much work and studying, i understand your videos so fast, well done bro you're awesome 👏🏻

[@bozo7545]

I missed a bunch of calculus lessons because I’ve been sick and had to stay home quite a bit recently, your videos are a life saver!

[@alhussein_alahmed_lnu]

i have been struggling with understanding this for a good 2 months now. I finally understood it in 20 minutes which is crazy! Thank you very much!

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why do i find his voice so satisfying literally

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I find enjoying when I don't know the lesson and just learn it by watching yt videos This is much better than my teacher teaching

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same lol

[@teruelryanpaul]

16:30 he mentioned money, my brain solved the problem in less than a second

[@ronn7148]

How if the lower limit i is equals to 1

[@aakarshverma5793]

@@ronn7148 then take limit from 1 to that number and subtract it by summation of limit upto lower limit of given sum

[@Lavie8620]

Im so grateful people like you make educational videos like these. Makes my student life easier, thank you!

[@ampieum6824]

Sheesh. This explained it well. I have been searching video after video for a good explanation; this one covered it perfectly.

[@TekoHlobe]

"Thank you so much Sir, I am a Bsc student and your videos has been helping me a lot, Thank you.

[@nicholasunderwood8174]

I just solved an Odin Project question using this. I was stuck on it for HOURS until it clicked that I was looking at a SUMMATION PROBLEM! THANK YOU!!!!!!!!!!!!!!

[@Camachik172]

You are awesome, your videos are awesome, and I want you to know that every student that learns through your channel is a great student who has a great teacher, and that teacher is you

[@laly_loly1245]

I wanna say this vid has saved my azz. I understood everything and I so recommend everyone to take it slow. I don’t understand at all what my teacher was trying to say but by watching the video it’s just helped me so much.

[@KujiKim-h5u]

Thanks alot I'm 13 yr old and I was learning about it but everyone's made it look complicated but this video was just perfect. thanks alot I learned alot from this video=)))

[@arrascitizen]

thanks for the video. I wanted to learn summation for so long i decided to find a video and this is perfect! iI am in grade 6 but I still wanted to learn it. I don't know why we didn't learn this in Class 6. This is so easy!

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This man doesn't even tell us to subscribe 😂❤❤

[@kendegreat]

He knew we needed him

[@crownclown3540]

Thanks so much for the amazing explanation, I finally know how to do this! My teacher skimmed through this and always made it seem so difficult so I never knew how to do it and my lessons teacher kept teaching other things saying that this wouldn't come in the exam, and lo and behold, it does. I really wish I found this beforehand 😂

[@techwithmuneeb4876]

I have learned more than math teacher lessons. thanks, Buddy!

[@zakeriasharuq6982]

I am glad that I find out Mr. Wilson for my Math. Thank you so much Mr.Wilson.

[@AndrewKln]

Your content often first in search and the best explanations

[@claytonnyawasha7018]

Great video! Could you elaborate when "I" does not start with 1

[@HABHBX]

Yes - anyone know this answer?

[@moodymonstrosity1423]

It always starts with 1

[@ayulz7735]

@@HABHBX @Van’dola Smerge whatever number the variable is equivalent to is where you start For example: If i=3 (4 will be above sigma) you will calculate all values from 3 to 4. So if we were given 7i+5 We would do (7(3)+5)+(7(4)+5) Then we would add them together to get the answer of 59

[@ayulz7735]

@Van'dola Smerge Look above

[@ayulz7735]

@@moodymonstrosity1423 Look above

[@alglenreytilacas8379]

*The Best Teacher We Never Met* Thank You

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me too now!

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Dude, best explanation ever. Best part where instead of deleting the 5 you magic smoothed it into an 8.

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You're better than my teacher

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i am struggling with my assignment in Bio Statistic right now, and found this video thank you so much

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You are one of the best teacher in this universe!

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Thank you so much! You will really help me in my grade 7 intensive Math test about this.

[@memeingthroughenglish7221]

That was such a fun video! I've been having problems with programming and logic, because I didn't understand summation well. That was a great video, showing how to break apart the pieces!

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Y U SO GOOD AT EXPLAINING EVERYTHING

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im literally pulling an all nighter rn for my test you're a life saver

[@abhijeet303]

It was such a nice explanation. Now onwards I will use the i, i^2 and i^3 formula wherever possible.

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my 9 year old brother understood, thank u

[@veronicaessien922]

Thank you so so much.I have really understood this better than i was taught in class.

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this man is single handedly saving my finals, the man is a hero

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You helped me a lot thank you so much. I watched mostly of your math videos and and I love your voice.

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I can not express how grateful I am for you

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Great vid, this helped so much! So much easier to understand than tryna go through my textbook.

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You're really saving my life academically 🤝🏽

[@James-m3c1k]

Summation formulas and sigma notation were some of the most challenging topics for me in calculus. I found it helpful to use online tools that provided step-by-step breakdowns of problems. SolutionInn’s AI study tool was particularly useful for clearing up the confusion and guiding me through complex summations. It made a big difference in how I understood and solved these types of problems

[@aman_ojha7]

I was having my online coahing class and I forgot everything about summations, I pulled up this video and recalled it in 20 minutes. I did the calculations in my mind and got it right.

[@shreesclassroom2963]

Thank You Sir............ Helped a Lot to Study Summations of Elements of Determinants and Also in Calculus

[@zetch1411]

I can tell that you do math in your head the same way that I do. I haven't run into a lot of people that do things this way. The grouping thing, I mean. For the quick mental stuff. I've been doing it since I was really young. Pretty cool, man.

[@mattiass4893]

Absolute lifesaver. Teaches me 100x better than my books do

[@damianford2637]

you teach a hell of a lot better than my calc teacher, keep it up

[@LlMPAN.]

Finally a vid that actually teaches the sigma function You're amazing

[@maynulislammishu7380]

I'm from Bangladesh, It was a very useful video for me. Thank you so much bro ❤️

[@travelconet7294]

Your voice is soothing and thank you

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The mayor the grace the savior the unique man I ever encountered in my life is you.i will keep you in my heart till my great 👌 grandchildren are Born then I will explain to them your impact in the life of people you are really amazing man .thank you sir for your industrious work you are a complete saint

[@lindagazi7588]

you're the best sir ..God bless you for helping all of us fighting for our futures

[@catastrophicavalanche1293]

I nearly had a heart attack thinking that I failed to understand the formula of "n into (n+1) / 2". When he said at 6:35, "n into (n -1) / 2", I was very nervous but when he said at 6:45, "it's gonna be +, not minus" .. I got my life back. Phew! Great relief. I'm really weak in this stuff you know :(

[@BeReal-r4f]

Great Staff Sir you are helping me a lot in my Electrical Engineering course

[@munshatmuhtadee2013]

Not only u taught us summation properies but also u showed simple ways to evaluate large operations. Ty

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You are my heart beat !!

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Thanks man, I've always wanted to know what that sideways M that the smart characters in movies write did.

[@lillianlou]

high school junior here 😪 you’re the only reason i’ve been able to do good on my ap ab calc tests..my teacher sucks

[@gartackpsdav4984]

One more formula I found. It's the sum of the powers of an integer. For example, 4^1 to 4^n. The formula is (4^n-4)/(4-1). The general for base b is (b^n-b)/(b-1).

[@liq6154]

Thank you soo much . my math text got these confusing ways of solving problems thank you for these ez steps

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I'm never forgetting you, you're literally saving my life😚😌

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Thank you so much! I owe my student life to you sir! Simply amazing 🥰🥰🥰

[@deankhan580]

I'm not even through the video yet and this has taught me more than a whole math lecture

[@connoross13]

Is one usually expected to memorize each of the different equations that the squared and cubic i summations boil down to? Or is there an easy way to write proofs for these?

[@heibluft]

this legit saved me, for some reason our teacher decided to skip this, which i dont understand why, learning this is a way faster solution for some problems

[@VarisilaRaulutegu]

Omg I love your videos sir..I cried cause you really help before my test.....🥺😭 MAY GOD BLESS YOU🤍

[@StevenParo-u3m]

I'm doubt in some areas like solving sigma notation using geometric and arithmetic and you did help very much thanks

[@alphasaffi9230]

My mentor you are a complete genius man .i have been struggling for this topics since i started my BSC.even my lecturer never given me correct solution about this stuff.thank sir but im little bit confused about this topic especially when come to the variables of i and and others.how can you determine the values and which formula is well applicable for each question please

[@kingthor191]

My School didn't teach me this and I am in college (11Grade ) now . I had been facing trouble with this . And now (After seeing this video ) I am quite clear about it . Thank you very much .

[@azyle2104]

Wum 11 grade ?