Summation Formulas and Sigma Notation - Calculus

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: 818

  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor Жыл бұрын

    Final Exams and Video Playlists: www.video-tutor.net/ Full-Length Videos & Worksheets: www.patreon.com/MathScienceTutor/collections Next Video: kzread.info/dash/bejne/i4h_s9WwkpmWgNo.html

  • @writethatdown100

    @writethatdown100

    Жыл бұрын

    Do you use MS Paint?

  • @superduperbooper3987

    @superduperbooper3987

    3 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
    @jennikamcintosh21353 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.

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    @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
    @124system4 жыл бұрын

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

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    @azyle2104

    4 жыл бұрын

    Lmaooo fml

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    @theabhiram1639

    4 жыл бұрын

    Aaron Wilson mad or what

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    @syabongajele6431

    4 жыл бұрын

    LOOOOOL

  • @julli9774

    @julli9774

    3 жыл бұрын

    "Mr. Wilson?"

  • @chanbricks4461

    @chanbricks4461

    3 жыл бұрын

    TOCT for short

  • @locketom
    @locketom5 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

  • @jessicamedina949
    @jessicamedina9494 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

  • @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

    10 ай бұрын

    Mood

  • @LoFoSho

    @LoFoSho

    7 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
    @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

    11 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

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    @viktoriiama62263 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.

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    @medeas_number_1_fan4 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

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  • @Zxter

    @Zxter

    Жыл бұрын

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

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    @Fanumtaxer-l9q

    Жыл бұрын

    I have passion am a third grader who knows calculus

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    @alexx3940

    7 ай бұрын

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

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    @cube1720

    4 ай бұрын

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    @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
    @miliswanashwa70873 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
    @annurtwo86215 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!! :')

  • @yoongiminyoongi5268
    @yoongiminyoongi52685 жыл бұрын

    I understand this more than my math teachers lesson

  • @VoidHalo

    @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.

  • @michelleivorycatesmelgar5618
    @michelleivorycatesmelgar56184 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 ❤️

  • @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.

  • @a.wallgren
    @a.wallgren Жыл бұрын

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

  • @georgesadler7830
    @georgesadler78302 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 KZread TV with the Organic Chemistry Tutor.

  • @xiaoqisitu7977
    @xiaoqisitu79774 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

  • @theentirenationofsweden7901
    @theentirenationofsweden79012 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.

  • @ravengaming1880
    @ravengaming18803 жыл бұрын

    To become sigma male we must learn how to sigmath

  • @marlynfabillar9986

    @marlynfabillar9986

    3 ай бұрын

    ew

  • @anmaralrahiem2341
    @anmaralrahiem23412 жыл бұрын

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

  • @Lavie8620
    @Lavie8620 Жыл бұрын

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

  • @munshatmuhtadee2013
    @munshatmuhtadee201311 ай бұрын

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

  • @Click_it_65143
    @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 .

  • @cadeaulazare1427
    @cadeaulazare14278 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.

  • @alhussein_alahmed_lnu
    @alhussein_alahmed_lnu9 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!

  • @darkphantom_01
    @darkphantom_0110 ай бұрын

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

  • @teruelryanpaul
    @teruelryanpaul3 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

  • @funkknuckle
    @funkknuckle10 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

    9 ай бұрын

    sigma 🍷🗿

  • @crownclown3540
    @crownclown35404 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
    @abhijeet3035 жыл бұрын

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

  • @bozo7545
    @bozo75452 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!

  • @damongeo840
    @damongeo8403 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!

  • @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 👏🏻

  • @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.

  • @garyge3204
    @garyge32044 жыл бұрын

    Y U SO GOOD AT EXPLAINING EVERYTHING

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    @techwithmuneeb48763 жыл бұрын

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

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    @Ck-iq1up4 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

  • @brodydelude9506
    @brodydelude95063 жыл бұрын

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

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    @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

  • @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

  • @veronicaessien922
    @veronicaessien9224 жыл бұрын

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

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    @serenedipity40523 жыл бұрын

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

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    @dogusinator3 жыл бұрын

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    @AndrewKln3 жыл бұрын

    Your content often first in search and the best explanations

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    @Asante_Carren.x Жыл бұрын

    You're really saving my life academically 🤝🏽

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    @gregs1383 жыл бұрын

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

  • @zakeriasharuq6982
    @zakeriasharuq69822 жыл бұрын

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

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    @mariamziad93792 жыл бұрын

    This channel is such a life saver

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    @lindagazi75883 жыл бұрын

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

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    @travelconet72944 жыл бұрын

    Your voice is soothing and thank you

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    @joselynbusato12722 жыл бұрын

    I can not express how grateful I am for you

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    @werthero Жыл бұрын

    You are one of the best teacher in this universe!

  • @nicholasunderwood8174
    @nicholasunderwood817424 күн 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!!!!!!!!!!!!!!

  • @atheenabelvis6571
    @atheenabelvis65714 жыл бұрын

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

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    @michiimochii703 Жыл бұрын

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

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    @popcornfrenzyyutube42145 жыл бұрын

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    @nathalie11564 жыл бұрын

    Vos vidéos sont super bénéfiques!! Merci à vous.

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    @ampieum68242 жыл бұрын

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

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    @ma.jenelynfernandez18602 жыл бұрын

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

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    @kepler29952 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

    2 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

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    @catherine9033 Жыл бұрын

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

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    @jessicamensah24755 жыл бұрын

    Great job. I learnt a lot. Thanks

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    @romeogotera75054 жыл бұрын

    Thank you so much. It helps a lot❤️

  • @charispascual9733
    @charispascual97335 жыл бұрын

    Thank you! This helped me with my STATS

  • @MANNYMODS
    @MANNYMODS7 ай бұрын

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

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    @stevenmagbanua5164 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

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    @deanwitter37934 жыл бұрын

    You're a godsend, a gift from the heavens

  • @shreesclassroom2963
    @shreesclassroom29632 жыл бұрын

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

  • @wonshimlungleng
    @wonshimlungleng2 жыл бұрын

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    @lovelylittlegirl33323 жыл бұрын

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    @mattiass48932 жыл бұрын

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

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    @seemakhan144 жыл бұрын

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    @mohamudmohamed50264 жыл бұрын

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    @Focusholic7 ай бұрын

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    @heidibooth20883 жыл бұрын

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    @damianford26372 жыл бұрын

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

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    @TekoHlobe Жыл бұрын

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    @berthamatchuka4782 Жыл бұрын

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    @hevidaralqaidy5955 жыл бұрын

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    @deankhan5802 жыл бұрын

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    @TsunaXZ5 жыл бұрын

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    @TsunaXZ

    5 жыл бұрын

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    @bogiebambam95953 жыл бұрын

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    @tonnicwater63575 жыл бұрын

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    @bharathkrishna83672 жыл бұрын

    thanks dude that was really easy to understand

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    @zetch14115 жыл бұрын

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    @korkor44804 жыл бұрын

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

  • @xiaoqisitu7977

    @xiaoqisitu7977

    4 жыл бұрын

    me too now!

  • @loreinetheresebequillo5292
    @loreinetheresebequillo52922 жыл бұрын

    best math teacher out here fr

  • @limenice4569
    @limenice45692 жыл бұрын

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

  • @MsBona
    @MsBona2 жыл бұрын

    More power sir , God bless thank you so much for your efforts,from Philippines.

  • @mejssamarandomarts7321
    @mejssamarandomarts732110 ай бұрын

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

  • @laly_loly1245
    @laly_loly124510 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.

  • @Naveenkumar-xu5kl
    @Naveenkumar-xu5kl5 жыл бұрын

    Weldon sir ...you are better than my class teacher

  • @aonmay8947
    @aonmay89472 жыл бұрын

    Endless thanks to you. Wish you luck ever.

  • @mohamedyaser755
    @mohamedyaser7559 ай бұрын

    YOU ARE THE BEST AND THE SAVER OF MY UNI LIFES

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