Summation Formulas and Sigma Notation - Calculus

  Рет қаралды 1,612,745

The Organic Chemistry Tutor

The Organic Chemistry Tutor

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: 811
@TheOrganicChemistryTutor
@TheOrganicChemistryTutor Жыл бұрын
Final Exams and Video Playlists: www.video-tutor.net/ Full-Length Videos & Worksheets: www.patreon.com/MathScienceTutor/collections Next Video: kzbin.info/www/bejne/j4Wugqatl5tjhtk
@writethatdown100
@writethatdown100 Жыл бұрын
Do you use MS Paint?
@superduperbooper3987
@superduperbooper3987 2 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
@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
@jacobh674 Жыл бұрын
In America we are paying 10x that for college. Sometimes even more. This guy should be taking it in.
@mrrasul8300
@mrrasul8300 Жыл бұрын
omg
@jakupi1304
@jakupi1304 Жыл бұрын
@@jacobh674 youre not paying 70k a year for college , unless ur going to harvard lol
@xavierd3409
@xavierd3409 Жыл бұрын
@@jakupi1304 bro I thought the same thing😂😂 even Harvard isn’t that much😂
@nathanonc
@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
@124system 4 жыл бұрын
I'm naming my firstborn child after you. He will be known as "The Organic Chemistry Tutor Wilson"
@azyle2104
@azyle2104 4 жыл бұрын
Lmaooo fml
@theabhiram1639
@theabhiram1639 4 жыл бұрын
Aaron Wilson mad or what
@syabongajele6431
@syabongajele6431 4 жыл бұрын
LOOOOOL
@julli9774
@julli9774 3 жыл бұрын
"Mr. Wilson?"
@chanbricks4461
@chanbricks4461 3 жыл бұрын
TOCT for short
@locketom
@locketom 5 жыл бұрын
Well, this just summed up week 1 of my calc 2 course, in 20 minutes
@keeshannclay6656
@keeshannclay6656 4 жыл бұрын
Wow
@benjaminmichael2007
@benjaminmichael2007 4 жыл бұрын
I wish I were learning this in calc 2
@DrewKHxC
@DrewKHxC 4 жыл бұрын
How’d you pass your grade 12, I thought you only made it to 11 in jail
@mryup6100
@mryup6100 4 жыл бұрын
Damn Ricky thought you went to jail...
@PulloGorko
@PulloGorko 4 жыл бұрын
This was towards the ending of my Calc 1 course
@jamestudio2014
@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
@human6310 10 ай 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
@JessBooth
@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
@bryanluna2609 Жыл бұрын
u learning summations in calc 2? im doing it in calc 1
@JessBooth
@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
@francisangelopantalla4177 Жыл бұрын
Professor? I didnt even finish 5th grade yet
@BubblyVFX
@BubblyVFX 9 ай бұрын
Mood
@LoFoSho
@LoFoSho 5 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 😭
@jessicamedina949
@jessicamedina949 4 жыл бұрын
You're my hero. I'm an engineering student and I'd never make it without you 😭
@nemanjavuksanovic3122
@nemanjavuksanovic3122 3 жыл бұрын
What are you engineering in?
@zhibeknasipbekova6941
@zhibeknasipbekova6941 3 жыл бұрын
Me too
@tinolax7724
@tinolax7724 3 жыл бұрын
Im highschool student... Thxxxx... Do you guys know if the typical element is in radical form?
@carlm2979
@carlm2979 3 жыл бұрын
Same
@jopittajibade1854
@jopittajibade1854 3 жыл бұрын
Same shiess bru
@viktoriiama6226
@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.
@medeas_number_1_fan
@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.
@mark5401
@mark5401 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
@Zxter Жыл бұрын
It’s called passion. You need passion to learn something that you aren’t even supposed to learn.
@adfgfdgfdvdsdadscsc8835
@adfgfdgfdvdsdadscsc8835 Жыл бұрын
I have passion am a third grader who knows calculus
@alexx3940
@alexx3940 6 ай бұрын
What this guy is teaching we have been taught in 6th grade
@cube1720
@cube1720 2 ай бұрын
@@adfgfdgfdvdsdadscsc8835 ∫2x^2+3x
@antonbashkin6706
@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
@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.
@annurtwo8621
@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!! :')
@michelleivorycatesmelgar5618
@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 ❤️
@xiaoqisitu7977
@xiaoqisitu7977 3 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
@georgesadler7830
@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 KZbin TV with the Organic Chemistry Tutor.
@yoongiminyoongi5268
@yoongiminyoongi5268 5 жыл бұрын
I understand this more than my math teachers lesson
@halonothing1
@halonothing1 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.
@a.wallgren
@a.wallgren Жыл бұрын
Soothing voice, clear steps, various and many examples. Literally math heaven for students! Great work!
@100feetsTall
@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.
@theentirenationofsweden7901
@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.
@cadeaulazare1427
@cadeaulazare1427 7 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.
@Click_it_65143
@Click_it_65143 11 ай 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 .
@alhussein_alahmed_lnu
@alhussein_alahmed_lnu 8 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!
@funkknuckle
@funkknuckle 8 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
@General_MacArthur 7 ай бұрын
sigma 🍷🗿
@anmaralrahiem2341
@anmaralrahiem2341 2 жыл бұрын
the best tutorial out there . simple and summarized in the best way possible .Thank you for sharing it .
@VijayKumar-mj5zy
@VijayKumar-mj5zy 11 ай 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
@abhijeet303
@abhijeet303 4 жыл бұрын
It was such a nice explanation. Now onwards I will use the i, i^2 and i^3 formula wherever possible.
@munshatmuhtadee2013
@munshatmuhtadee2013 10 ай бұрын
Not only u taught us summation properies but also u showed simple ways to evaluate large operations. Ty
@crownclown3540
@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 😂
@mpandejonasshane
@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.
@user-rj8tr6sp7e
@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 👏🏻
@Lavie8620
@Lavie8620 Жыл бұрын
Im so grateful people like you make educational videos like these. Makes my student life easier, thank you!
@teruelryanpaul
@teruelryanpaul 3 жыл бұрын
16:30 he mentioned money, my brain solved the problem in less than a second
@ronn7148
@ronn7148 3 жыл бұрын
How if the lower limit i is equals to 1
@aakarshverma5793
@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
@bozo7545
@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!
@memeingthroughenglish7221
@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!
@nataliesande3521
@nataliesande3521 Жыл бұрын
You're Soo gifted...and thank you for sharing it with the world honestly
@Ck-iq1up
@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
@lindagazi7588
@lindagazi7588 2 жыл бұрын
you're the best sir ..God bless you for helping all of us fighting for our futures
@gregs138
@gregs138 3 жыл бұрын
Dude, best explanation ever. Best part where instead of deleting the 5 you magic smoothed it into an 8.
@damongeo840
@damongeo840 2 жыл бұрын
That was a great chance to revise this material with you. Thank you for sharing.
@mxlxzybbb
@mxlxzybbb Жыл бұрын
You really have every tutorial that I needed. Thank you so much for existing!
@dogusinator
@dogusinator 3 жыл бұрын
Thank you very much, I'm studying my A Levels and this is a very big help
@TekoHlobe
@TekoHlobe Жыл бұрын
"Thank you so much Sir, I am a Bsc student and your videos has been helping me a lot, Thank you.
@brodydelude9506
@brodydelude9506 3 жыл бұрын
Great vid, this helped so much! So much easier to understand than tryna go through my textbook.
@serenedipity4052
@serenedipity4052 3 жыл бұрын
Thank you so much! I owe my student life to you sir! Simply amazing 🥰🥰🥰
@arrascitizen
@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!
@zakeriasharuq6982
@zakeriasharuq6982 2 жыл бұрын
I am glad that I find out Mr. Wilson for my Math. Thank you so much Mr.Wilson.
@michiimochii703
@michiimochii703 Жыл бұрын
Thank you so much! You will really help me in my grade 7 intensive Math test about this.
@garyge3204
@garyge3204 4 жыл бұрын
Y U SO GOOD AT EXPLAINING EVERYTHING
@techwithmuneeb4876
@techwithmuneeb4876 3 жыл бұрын
I have learned more than math teacher lessons. thanks, Buddy!
@laly_loly1245
@laly_loly1245 9 ай бұрын
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.
@ampieum6824
@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.
@kepler2995
@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
@parkerneilson6255 2 жыл бұрын
no, thank *you* kepler
@whiteink1924
@whiteink1924 Жыл бұрын
@@parkerneilson6255 fr
@The_Black_Caps
@The_Black_Caps Жыл бұрын
Y'all learn this only in college?!
@kepler2995
@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
@The_Black_Caps Жыл бұрын
@@kepler2995 oh.. i thought you guys had it for college literally..i am sorry man
@veronicaessien922
@veronicaessien922 4 жыл бұрын
Thank you so so much.I have really understood this better than i was taught in class.
@atheenabelvis6571
@atheenabelvis6571 4 жыл бұрын
thanks bro. i always watch your vids and you're a great teacher. godbless!
@wonshimlungleng
@wonshimlungleng 2 жыл бұрын
Thank you so much it helps a lot simple yet easy to understand 👍
@BizhanBaharestani-qx5ly
@BizhanBaharestani-qx5ly 3 ай бұрын
You are a very good teacher ! Thank you!
@werthero
@werthero Жыл бұрын
You are one of the best teacher in this universe!
@shreesclassroom2963
@shreesclassroom2963 2 жыл бұрын
Thank You Sir............ Helped a Lot to Study Summations of Elements of Determinants and Also in Calculus
@AndrewKln
@AndrewKln 3 жыл бұрын
Your content often first in search and the best explanations
@Focusholic
@Focusholic 6 ай бұрын
why do i find his voice so satisfying literally
@travelconet7294
@travelconet7294 4 жыл бұрын
Your voice is soothing and thank you
@jessicamensah2475
@jessicamensah2475 5 жыл бұрын
Great job. I learnt a lot. Thanks
@Asante_Carren.x
@Asante_Carren.x Жыл бұрын
You're really saving my life academically 🤝🏽
@AhmedStudying-wh9gx
@AhmedStudying-wh9gx 12 күн 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 👍
@ma.jenelynfernandez1860
@ma.jenelynfernandez1860 2 жыл бұрын
I'm never forgetting you, you're literally saving my life😚😌
@catherine9033
@catherine9033 Жыл бұрын
Thank you so much. I love you. I hope you have good things everyday.
@lovelylittlegirl3332
@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
@romeogotera7505
@romeogotera7505 4 жыл бұрын
Thank you so much. It helps a lot❤️
@mejssamarandomarts7321
@mejssamarandomarts7321 9 ай бұрын
i am struggling with my assignment in Bio Statistic right now, and found this video thank you so much
@LlMPAN.
@LlMPAN. 8 күн бұрын
Finally a vid that actually teaches the sigma function You're amazing
@patsondamascus885
@patsondamascus885 3 жыл бұрын
who is here because he/she has an exam tomorrow👀
@jhapethlloydciron3185
@jhapethlloydciron3185 2 ай бұрын
Yup
@MephewReal
@MephewReal Ай бұрын
Im here Just for fun
@user-fy5ou4ib6s
@user-fy5ou4ib6s Ай бұрын
I have a test today afternoon 😅
@JacobNkhata-oh3hw
@JacobNkhata-oh3hw Ай бұрын
It's just you
@zetch1411
@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.
@mariamziad9379
@mariamziad9379 2 жыл бұрын
This channel is such a life saver
@nathalie1156
@nathalie1156 4 жыл бұрын
Vos vidéos sont super bénéfiques!! Merci à vous.
@tonnicwater6357
@tonnicwater6357 5 жыл бұрын
You're better than my teacher
@popcornfrenzyyutube4214
@popcornfrenzyyutube4214 5 жыл бұрын
Thank you a lot you're a life saver
@charispascual9733
@charispascual9733 4 жыл бұрын
Thank you! This helped me with my STATS
@MsBona
@MsBona 2 жыл бұрын
More power sir , God bless thank you so much for your efforts,from Philippines.
@joselynbusato1272
@joselynbusato1272 2 жыл бұрын
I can not express how grateful I am for you
@stevenmagbanua516
@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
@fairycore7140 4 жыл бұрын
same lol
@mohamudmohamed5026
@mohamudmohamed5026 4 жыл бұрын
thank you so much idk what to say you deserve more than thanks
@bogiebambam9595
@bogiebambam9595 3 жыл бұрын
Now I understand well. Thank you 😊❤️
@maynulislammishu7380
@maynulislammishu7380 2 жыл бұрын
I'm from Bangladesh, It was a very useful video for me. Thank you so much bro ❤️
@ravengaming1880
@ravengaming1880 2 жыл бұрын
To become sigma male we must learn how to sigmath
@marlynfabillar9986
@marlynfabillar9986 Ай бұрын
ew
@berthamatchuka4782
@berthamatchuka4782 Жыл бұрын
The best tutor on planet Earth❤
@seemakhan14
@seemakhan14 4 жыл бұрын
Thank you ! Because of you I understand math.
@solomongetachew4654
@solomongetachew4654 Жыл бұрын
God bless you my brother 10q for all you did .your videos are helping me very much
@alglenreytilacas8379
@alglenreytilacas8379 3 жыл бұрын
*The Best Teacher We Never Met* Thank You
@ashmithry
@ashmithry Жыл бұрын
I'm a 9th grade student scratching my head at this for my test on the third week of school. thank you so much
@mattiass4893
@mattiass4893 2 жыл бұрын
Absolute lifesaver. Teaches me 100x better than my books do
@deanwitter3793
@deanwitter3793 4 жыл бұрын
You're a godsend, a gift from the heavens
@user-fk5si4ik1t
@user-fk5si4ik1t 9 ай бұрын
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=)))
@LiaMathur
@LiaMathur 5 ай бұрын
Thank you sir!! Now I am able to save extra time in solving questions ❤❤
@hevidaralqaidy595
@hevidaralqaidy595 5 жыл бұрын
Thanks...you make it soo easy
@heidibooth2088
@heidibooth2088 3 жыл бұрын
Thank you! So easy follow and your voice is really easy to listen to :)
@emmieflororbon7750
@emmieflororbon7750 3 жыл бұрын
Thank you so much. Comprehensive video!
@Naveenkumar-xu5kl
@Naveenkumar-xu5kl 5 жыл бұрын
Weldon sir ...you are better than my class teacher
@mohamedyaser755
@mohamedyaser755 8 ай бұрын
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