Summation Formulas and Sigma Notation

Summation Formulas and Sigma Notation - Calculus

Рет қаралды 1,644,932

Күн бұрын

This calculus video tutorial provides a basic introduction into summation formulas and sigma notation. It explains how to find the sum using summation formulas for constants, i, i^2, and i^3.
Antiderivatives: • Antiderivatives
Basic Integration Problems:
• Basic Integration Prob...
Indefinite Integral:
• Indefinite Integral
Definite Integral:
• Definite Integral
Differential Equations:
• Finding Particular Sol...
_______________________________
Properties of Definite Integrals:
• Properties of Definite...
Rectilinear Motion Problems:
• Rectilinear Motion Pro...
Sigma Notation - Calculus:
• Summation Formulas and...
Riemann Sums - Area:
• Riemann Sums - Left En...
The Midpoint Rule:
• Midpoint Rule & Rieman...
________________________________
Finding Area - Limit Definition:
• Finding The Area Using...
Definite Integrals - Geometry:
• Evaluating Definite In...
Fundamental Theorem - Part 1:
• Fundamental Theorem of...
Fundamental Theorem - Part 2:
• Fundamental Theorem of...
Net Change Theorem:
• Net Change Theorem - C...
__________________________________
Final Exams and Video Playlists:
www.video-tutor.net/
Full-Length Videos and Worksheets:
/ collections

Пікірлер: 822

@TheOrganicChemistryTutor Жыл бұрын

Final Exams and Video Playlists: www.video-tutor.net/ Full-Length Videos & Worksheets: www.patreon.com/MathScienceTutor/collections Next Video: kzfaq.info/get/bejne/j7p7hNaox5yUgKs.html

@writethatdown100 Жыл бұрын

Do you use MS Paint?

@superduperbooper3987 4 ай бұрын

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.

@jennikamcintosh2135 3 жыл бұрын

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

@jacobh674 Жыл бұрын

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

@mrrasul8300 Жыл бұрын

omg

@jakupi1304 Жыл бұрын

@@jacobh674 youre not paying 70k a year for college , unless ur going to harvard lol

@xavierd3409 Жыл бұрын

@@jakupi1304 bro I thought the same thing😂😂 even Harvard isn’t that much😂

@nathanonc Жыл бұрын

@@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.

@124system 4 жыл бұрын

I'm naming my firstborn child after you. He will be known as "The Organic Chemistry Tutor Wilson"

@azyle2104 4 жыл бұрын

Lmaooo fml

@theabhiram1639 4 жыл бұрын

Aaron Wilson mad or what

@syabongajele6431 4 жыл бұрын

LOOOOOL

@julli9774 3 жыл бұрын

"Mr. Wilson?"

@chanbricks4461 3 жыл бұрын

TOCT for short

@JessBooth Жыл бұрын

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 Жыл бұрын

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

@JessBooth Жыл бұрын

@@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 Жыл бұрын

Professor? I didnt even finish 5th grade yet

@BubblyVFX 11 ай бұрын

Mood

@LoFoSho 8 ай бұрын

@@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 😭

@jamestudio2014 Жыл бұрын

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!

@human6310 Жыл бұрын

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

@locketom 5 жыл бұрын

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

@keeshannclay6656 4 жыл бұрын

Wow

@benjaminmichael2007 4 жыл бұрын

I wish I were learning this in calc 2

@DrewKHxC 4 жыл бұрын

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

@mryup6100 4 жыл бұрын

Damn Ricky thought you went to jail...

@PulloGorko 4 жыл бұрын

This was towards the ending of my Calc 1 course

@jessicamedina949 5 жыл бұрын

You're my hero. I'm an engineering student and I'd never make it without you 😭

@nemanjavuksanovic3122 3 жыл бұрын

What are you engineering in?

@zhibeknasipbekova6941 3 жыл бұрын

Me too

@tinolax7724 3 жыл бұрын

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

@carlm2979 3 жыл бұрын

Same

@jopittajibade1854 3 жыл бұрын

Same shiess bru

@ravengaming1880 3 жыл бұрын

To become sigma male we must learn how to sigmath

@marlynfabillar9986 3 ай бұрын

@viktoriiama6226 3 жыл бұрын

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.

@mark5401 2 жыл бұрын

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❤️.

@Zxter Жыл бұрын

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

@Fanumtaxer-l9q Жыл бұрын

I have passion am a third grader who knows calculus

@alexx3940 8 ай бұрын

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

@cube1720 5 ай бұрын

@@Fanumtaxer-l9q ∫2x^2+3x

@medeas_number_1_fan 4 жыл бұрын

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.

@antonbashkin6706 Жыл бұрын

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 3 жыл бұрын

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.

@patsondamascus885 3 жыл бұрын

who is here because he/she has an exam tomorrow👀

@jhapethlloydciron3185 4 ай бұрын

Yup

@MephewReal 3 ай бұрын

Im here Just for fun

@user-fy5ou4ib6s 3 ай бұрын

I have a test today afternoon 😅

@JacobNkhata-oh3hw 3 ай бұрын

It's just you

@darkphantom_01 11 ай бұрын

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

@annurtwo8621 5 жыл бұрын

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!! :')

@georgesadler7830 2 жыл бұрын

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 KZfaq TV with the Organic Chemistry Tutor.

@michelleivorycatesmelgar5618 4 жыл бұрын

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

@Click_it_65143 Жыл бұрын

You helped me a lot in this topic ❤ I was solving sequence and series and i was stucked when properties of summation were used in a question . Your videos are just to the point and time saving .

@a.wallgren Жыл бұрын

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

@theentirenationofsweden7901 2 жыл бұрын

I see a lot of people in the comments who are praising you for what you're doing and I'd just like to join in on that. I have always been interested in math but had a hard time finding ways to learn more about it outside of school until I found your videos. Your videos on derivatives, integrals, etc. have helped quench my unyielding *_thirst_* for knowledge. I don't say this kind of thing often but, Thank you so much, Mr. Wilson.

@nicholasunderwood8174 Ай бұрын

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!!!!!!!!!!!!!!

@funkknuckle 10 ай бұрын

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 9 ай бұрын

sigma 🍷🗿

@anmaralrahiem2341 2 жыл бұрын

the best tutorial out there . simple and summarized in the best way possible .Thank you for sharing it .

@xiaoqisitu7977 4 жыл бұрын

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

@100feetsTall Жыл бұрын

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.

@crownclown3540 4 жыл бұрын

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 😂

@abhijeet303 5 жыл бұрын

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

@yoongiminyoongi5268 5 жыл бұрын

I understand this more than my math teachers lesson

@VoidHalo 4 жыл бұрын

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.

@Lavie8620 Жыл бұрын

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

@VijayKumar-mj5zy Жыл бұрын

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

@teruelryanpaul 4 жыл бұрын

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

@ronn7148 3 жыл бұрын

How if the lower limit i is equals to 1

@aakarshverma5793 3 жыл бұрын

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

@cadeaulazare1427 9 ай бұрын

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.

@kepler2995 2 жыл бұрын

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 2 жыл бұрын

no, thank *you* kepler

@whiteink1924 2 жыл бұрын

@@parkerneilson6255 fr

@The_Black_Caps Жыл бұрын

Y'all learn this only in college?!

@kepler2995 Жыл бұрын

@@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 Жыл бұрын

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

@munshatmuhtadee2013 Жыл бұрын

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

@alhussein_alahmed_lnu 10 ай бұрын

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!

@atheenabelvis6571 4 жыл бұрын

thanks bro. i always watch your vids and you're a great teacher. godbless!

@mxlxzybbb Жыл бұрын

You really have every tutorial that I needed. Thank you so much for existing!

@user-rj8tr6sp7e Жыл бұрын

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 👏🏻

@damongeo840 3 жыл бұрын

That was a great chance to revise this material with you. Thank you for sharing.

@memeingthroughenglish7221 Жыл бұрын

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!

@Ck-iq1up 4 жыл бұрын

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

@bozo7545 2 жыл бұрын

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!

@mpandejonasshane Жыл бұрын

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.

@nataliesande3521 Жыл бұрын

You're Soo gifted...and thank you for sharing it with the world honestly

@garyge3204 4 жыл бұрын

Y U SO GOOD AT EXPLAINING EVERYTHING

@TekoHlobe Жыл бұрын

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

@romeogotera7505 4 жыл бұрын

Thank you so much. It helps a lot❤️

@nathalie1156 4 жыл бұрын

Vos vidéos sont super bénéfiques!! Merci à vous.

@ReeceNeedsSleep 5 жыл бұрын

Thank you! This helped me with my STATS

@jessicamensah2475 5 жыл бұрын

Great job. I learnt a lot. Thanks

@Focusholic 8 ай бұрын

why do i find his voice so satisfying literally

@lindagazi7588 3 жыл бұрын

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

@AndrewKln 3 жыл бұрын

Your content often first in search and the best explanations

@dogusinator 3 жыл бұрын

Thank you very much, I'm studying my A Levels and this is a very big help

@stevenmagbanua516 4 жыл бұрын

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

@fairycore7140 4 жыл бұрын

same lol

@techwithmuneeb4876 3 жыл бұрын

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

@heidibooth2088 3 жыл бұрын

Thank you! So easy follow and your voice is really easy to listen to :)

@brodydelude9506 3 жыл бұрын

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

@veronicaessien922 4 жыл бұрын

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

@lovelylittlegirl3332 3 жыл бұрын

Thank you very much! Your videos are highly appreciated! You just saved me 2 hours of catching up. I wish I can like more than once

@serenedipity4052 3 жыл бұрын

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

@wonshimlungleng 2 жыл бұрын

Thank you so much it helps a lot simple yet easy to understand 👍

@gregs138 3 жыл бұрын

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

@travelconet7294 4 жыл бұрын

Your voice is soothing and thank you

@treyheaney9483 4 жыл бұрын

This is really cool thank you for sharing your knowledge.

@michiimochii703 Жыл бұрын

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

@popcornfrenzyyutube4214 6 жыл бұрын

Thank you a lot you're a life saver

@AhmedStudying-wh9gx 2 ай бұрын

Great video, This is a proof that not only paid education is good education, & there are still good people on this world who can provide a lot knowledge without breaking the students financially 👍

@connoross13 2 жыл бұрын

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?

@WhyUnboxingChannel 11 ай бұрын

I saw my 9year-old-son watching your video and OMG his loving math everyday

@ampieum6824 2 жыл бұрын

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

@werthero Жыл бұрын

You are one of the best teacher in this universe!

@shreesclassroom2963 2 жыл бұрын

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

@artiliam8104 3 жыл бұрын

This is really cool, such a good teacher, wow nice, ergonomic

@mariamziad9379 2 жыл бұрын

This channel is such a life saver

@zakeriasharuq6982 2 жыл бұрын

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

@hevidaralqaidy595 5 жыл бұрын

Thanks...you make it soo easy

@maheshtapre242 5 жыл бұрын

Thank you so much sir your this video helped me a lot

@Asante_Carren.x Жыл бұрын

You're really saving my life academically 🤝🏽

@emmieflororbon7750 3 жыл бұрын

Thank you so much. Comprehensive video!

@claytonnyawasha7018 5 жыл бұрын

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

@HABHBX 3 жыл бұрын

Yes - anyone know this answer?

@moodymonstrosity1423 3 жыл бұрын

It always starts with 1

@ayulz7735 3 жыл бұрын

@@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 3 жыл бұрын

@Van'dola Smerge Look above

@ayulz7735 3 жыл бұрын

@@moodymonstrosity1423 Look above

@tonnicwater6357 5 жыл бұрын

You're better than my teacher

@mohamudmohamed5026 4 жыл бұрын

thank you so much idk what to say you deserve more than thanks

@basit_yt 2 жыл бұрын

thank you mate this lecture really helped me

@erinlee928 3 жыл бұрын

Do you happen to have a video that explains nested sigma notation and also just two independent sigmas? Thanks a lot!

@arrascitizen Жыл бұрын

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!

@masterofkaarsvet 5 жыл бұрын

Do you happen to have a video on how to prove any of these formulas using induction?

@limenice4569 2 жыл бұрын

Dude youre a life saver, can't beilive Im saying this but you teach better than my Teacher

@bogiebambam9595 3 жыл бұрын

Now I understand well. Thank you 😊❤️

@memorymasarira3434 3 жыл бұрын

U r such a great tutor keep on keeping on

@damianford2637 2 жыл бұрын

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

@StevenParo-u3m 14 күн бұрын

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

@catherine9033 Жыл бұрын

Thank you so much. I love you. I hope you have good things everyday.

@teljnyazhka 3 жыл бұрын

This is so useful, thank YOU!

@MANNYMODS 7 ай бұрын

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

@user-fk1np9jg8i 26 күн бұрын

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

@zuhairzafar1649 2 жыл бұрын

Thank you so much brother. It truly helped a lot.

@zetch1411 5 жыл бұрын

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.