Summation Formulas and Sigma Notation - Calculus

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  • Опубликовано: 4 окт 2024

Комментарии • 840

  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor  Год назад +36

    Final Exams and Video Playlists: www.video-tutor.net/
    Full-Length Videos & Worksheets: www.patreon.com/MathScienceTutor/collections
    Next Video: ruclips.net/video/YTKQswb60Pw/видео.html

    • @writethatdown100
      @writethatdown100 Год назад +1

      Do you use MS Paint?

    • @superduperbooper3987
      @superduperbooper3987 6 месяцев назад

      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 года назад +1790

    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 Год назад +59

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

    • @mrrasul8300
      @mrrasul8300 Год назад +2

      omg

    • @jakupi1304
      @jakupi1304 Год назад +48

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

    • @xavierd3409
      @xavierd3409 Год назад +15

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

    • @nathanonc
      @nathanonc Год назад +25

      @@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 года назад +1907

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

  • @locketom
    @locketom 6 лет назад +519

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

    • @keeshannclay6656
      @keeshannclay6656 5 лет назад

      Wow

    • @benjaminmichael2007
      @benjaminmichael2007 5 лет назад +12

      I wish I were learning this in calc 2

    • @DrewKHxC
      @DrewKHxC 4 года назад +6

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

    • @mryup6100
      @mryup6100 4 года назад +1

      Damn Ricky thought you went to jail...

    • @PulloGorko
      @PulloGorko 4 года назад +3

      This was towards the ending of my Calc 1 course

  • @JessBooth
    @JessBooth Год назад +139

    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 Год назад

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

    • @JessBooth
      @JessBooth Год назад

      @@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 Год назад +2

      Professor? I didnt even finish 5th grade yet

    • @BubblyVFX
      @BubblyVFX Год назад +1

      Mood

    • @LoFoSho
      @LoFoSho 10 месяцев назад

      @@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
    @jamestudio2014 Год назад +73

    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 Год назад +13

      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

  • @jessicamedina949
    @jessicamedina949 5 лет назад +482

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

  • @viktoriiama6226
    @viktoriiama6226 4 года назад +62

    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.

  • @Coral_pepe
    @Coral_pepe Год назад +9

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

    • @kendegreat
      @kendegreat Месяц назад

      He knew we needed him

  • @mark5401
    @mark5401 2 года назад +82

    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 Год назад +2

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

    • @Fanumtaxer-l9q
      @Fanumtaxer-l9q Год назад +1

      I have passion am a third grader who knows calculus

    • @alexx3940
      @alexx3940 10 месяцев назад

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

    • @cube1720
      @cube1720 7 месяцев назад

      @@Fanumtaxer-l9q ∫2x^2+3x

  • @antonbashkin6706
    @antonbashkin6706 Год назад +15

    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!!!

  • @xiaoqisitu7977
    @xiaoqisitu7977 4 года назад +9

    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

  • @yoongiminyoongi5268
    @yoongiminyoongi5268 6 лет назад +153

    I understand this more than my math teachers lesson

    • @VoidHalo
      @VoidHalo 4 года назад +21

      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.

  • @medeas_number_1_fan
    @medeas_number_1_fan 4 года назад +16

    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
    @funkknuckle Год назад +5

    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.

  • @teruelryanpaul
    @teruelryanpaul 4 года назад +39

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

    • @ronn7148
      @ronn7148 3 года назад

      How if the lower limit i is equals to 1

    • @aakarshverma5793
      @aakarshverma5793 3 года назад

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

  • @miliswanashwa7087
    @miliswanashwa7087 3 года назад +7

    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.

  • @munshatmuhtadee2013
    @munshatmuhtadee2013 Год назад +2

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

  • @cadeaulazare1427
    @cadeaulazare1427 11 месяцев назад +1

    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.

  • @a.wallgren
    @a.wallgren Год назад +3

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

  • @100feetsTall
    @100feetsTall Год назад

    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.

  • @michelleivorycatesmelgar5618
    @michelleivorycatesmelgar5618 4 года назад +9

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

  • @VijayKumar-mj5zy
    @VijayKumar-mj5zy Год назад +2

    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

  • @SomewhatCorrect
    @SomewhatCorrect 2 года назад +1

    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.

  • @stevenmagbanua516
    @stevenmagbanua516 4 года назад +9

    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

  • @annurtwo8621
    @annurtwo8621 6 лет назад +19

    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!! :')

  • @ampieum6824
    @ampieum6824 2 года назад +1

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

  • @kepler2995
    @kepler2995 2 года назад +18

    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 года назад +5

      no, thank *you* kepler

    • @whiteink1924
      @whiteink1924 2 года назад

      @@parkerneilson6255 fr

    • @The_Black_Caps
      @The_Black_Caps 2 года назад

      Y'all learn this only in college?!

    • @kepler2995
      @kepler2995 2 года назад

      @@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 2 года назад

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

  • @nicholasunderwood8174
    @nicholasunderwood8174 3 месяца назад

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

  • @techwithmuneeb4876
    @techwithmuneeb4876 3 года назад +2

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

  • @alhussein_alahmed_lnu
    @alhussein_alahmed_lnu Год назад

    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!

  • @georgesadler7830
    @georgesadler7830 2 года назад +8

    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 RUclips TV with the Organic Chemistry Tutor.

  • @Focusholic
    @Focusholic 10 месяцев назад +1

    why do i find his voice so satisfying literally

  • @Lavie8620
    @Lavie8620 Год назад +1

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

  • @AndrewKln
    @AndrewKln 3 года назад +1

    Your content often first in search and the best explanations

  • @mpandejonasshane
    @mpandejonasshane Год назад +1

    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.

  • @bozo7545
    @bozo7545 2 года назад +1

    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!

  • @zakeriasharuq6982
    @zakeriasharuq6982 2 года назад

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

  • @KujiKim-h5u
    @KujiKim-h5u Год назад +1

    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=)))

  • @chaipolselli1275
    @chaipolselli1275 Месяц назад

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

  • @korkor4480
    @korkor4480 4 года назад +2

    You’re my go to for math ever since quarantine started

  • @user-rj8tr6sp7e
    @user-rj8tr6sp7e Год назад +1

    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 👏🏻

  • @cait-o
    @cait-o 3 года назад

    Thank you so much more curriculum was shit at explaining it while I was half asleep and understood this

  • @Asante_Carren.x
    @Asante_Carren.x 2 года назад +1

    You're really saving my life academically 🤝🏽

  • @tonnicwater6357
    @tonnicwater6357 5 лет назад +71

    You're better than my teacher

  • @TekoHlobe
    @TekoHlobe Год назад +1

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

  • @limenice4569
    @limenice4569 2 года назад

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

  • @alglenreytilacas8379
    @alglenreytilacas8379 3 года назад +3

    *The Best Teacher We Never Met*
    Thank You

  • @ravengaming1880
    @ravengaming1880 3 года назад +26

    To become sigma male we must learn how to sigmath

  • @laly_loly1245
    @laly_loly1245 Год назад

    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.

  • @veronicaessien922
    @veronicaessien922 4 года назад +1

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

  • @catherine9033
    @catherine9033 Год назад

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

  • @Ck-iq1up
    @Ck-iq1up 4 года назад

    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

  • @michiimochii703
    @michiimochii703 2 года назад +1

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

  • @arrascitizen
    @arrascitizen Год назад +1

    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!

  • @mattiass4893
    @mattiass4893 2 года назад +1

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

  • @werthero
    @werthero Год назад

    You are one of the best teacher in this universe!

  • @TATAKAE_3000
    @TATAKAE_3000 28 дней назад

    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.

  • @garyge3204
    @garyge3204 4 года назад +3

    Y U SO GOOD AT EXPLAINING EVERYTHING

  • @howsmycartoon3585
    @howsmycartoon3585 2 года назад +1

    I say you are my best use after my my mom I was in 6th standard at present time. Thanks

  • @nataliesande3521
    @nataliesande3521 Год назад

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

  • @BeReal-r4f
    @BeReal-r4f 2 месяца назад

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

  • @damongeo840
    @damongeo840 3 года назад +1

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

  • @joselynbusato1272
    @joselynbusato1272 2 года назад

    I can not express how grateful I am for you

  • @berthamatchuka4782
    @berthamatchuka4782 Год назад

    The best tutor on planet Earth❤

  • @deozyt7984
    @deozyt7984 3 месяца назад

    thanks I was able to memorize the formulas in 5 minutes thanks to you!!!

  • @ma.jenelynfernandez1860
    @ma.jenelynfernandez1860 2 года назад

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

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    @mohamedyaser755 Год назад

    YOU ARE THE BEST AND THE SAVER OF MY UNI LIFES

  • @shreesclassroom2963
    @shreesclassroom2963 2 года назад +1

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

  • @crownclown3540
    @crownclown3540 4 года назад +5

    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 😂

  • @brodydelude9506
    @brodydelude9506 3 года назад +1

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

  • @loreinetheresebequillo5292
    @loreinetheresebequillo5292 2 года назад

    best math teacher out here fr

  • @mariamziad9379
    @mariamziad9379 2 года назад

    This channel is such a life saver

  • @travelconet7294
    @travelconet7294 4 года назад +1

    Your voice is soothing and thank you

  • @mejssamarandomarts7321
    @mejssamarandomarts7321 Год назад

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

  • @damianford2637
    @damianford2637 2 года назад

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

  • @MANNYMODS
    @MANNYMODS 9 месяцев назад

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

  • @lillianlou
    @lillianlou Год назад

    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

  • @AkashGupta-zx9iw
    @AkashGupta-zx9iw 2 года назад +1

    I was searching for sigma rule and this came up.

  • @ahanafabid8000
    @ahanafabid8000 2 года назад

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

  • @wonshimlungleng
    @wonshimlungleng 2 года назад +1

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

  • @LlMPAN.
    @LlMPAN. 4 месяца назад

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

  • @ahmedabdelkhalek4544
    @ahmedabdelkhalek4544 5 лет назад +5

    Thanks you very much
    You really helped me for solving sigma notation problems

  • @davidroe4213
    @davidroe4213 3 года назад +1

    The organic chemistry tutor is a hero.

  • @bharathkrishna8367
    @bharathkrishna8367 2 года назад

    thanks dude that was really easy to understand

  • @guythatlovesthecolorblue4099
    @guythatlovesthecolorblue4099 Год назад

    how can i thank you my friend. I now understand everything. Thank you

  • @gregs138
    @gregs138 3 года назад

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

  • @AhmedStudying-wh9gx
    @AhmedStudying-wh9gx 4 месяца назад

    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 👍

  • @WhyUnboxingChannel
    @WhyUnboxingChannel Год назад

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

  • @geirragnar6226
    @geirragnar6226 3 года назад

    i have given up watchin my lectures, im only using this guy from now on

  • @serenedipity4052
    @serenedipity4052 3 года назад +1

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

  • @memeingthroughenglish7221
    @memeingthroughenglish7221 Год назад

    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!

  • @aonmay8947
    @aonmay8947 2 года назад

    Endless thanks to you. Wish you luck ever.

  • @maynulislammishu7380
    @maynulislammishu7380 2 года назад

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

  • @liq6154
    @liq6154 2 года назад

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

  • @StevenParo-u3m
    @StevenParo-u3m 2 месяца назад

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

  • @srus6378
    @srus6378 3 года назад +24

    As a sigma male myself i understood this perfectly.

    • @rikumaruya3170
      @rikumaruya3170 3 года назад +1

      Bruh

    • @creatorzp
      @creatorzp 3 года назад +6

      same. i use calculus and the suffering of children for personal gain 💪 up your sigma grindset and become a gazillionare

    • @mr.osamabingaming2633
      @mr.osamabingaming2633 3 года назад +4

      SIGMA LESSON #Σ(i = 1, 420, 4): "Deport policial enemies and establish an authoritarian regime"

    • @Drawingboothgmail
      @Drawingboothgmail 3 месяца назад

      😂😂😂😂😂😂😂😂

  • @deankhan580
    @deankhan580 2 года назад

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

  • @wrjazziel
    @wrjazziel 3 года назад +2

    I'm saying thank you in every video I am, thank you :]

  • @lungilenofemele4368
    @lungilenofemele4368 3 года назад

    thank you very much sir i just understood this much better than my lecturer slides