Introduction to Mathematical Induction

Пікірлер: 112

  • @kajenjen9213
    @kajenjen92134 жыл бұрын

    To the world you might be just a teacher but to me..........your a hero

  • @mugumyahillary4141

    @mugumyahillary4141

    4 жыл бұрын

    man can we date

  • @sermuns

    @sermuns

    3 жыл бұрын

    @@mugumyahillary4141 yes

  • @theencryptedpartition4633

    @theencryptedpartition4633

    Жыл бұрын

    @@mugumyahillary4141 holy shit

  • @wesolyfoton

    @wesolyfoton

    Жыл бұрын

    you are

  • @kells9k

    @kells9k

    Жыл бұрын

    *you're

  • @Vaibhavhayaran1
    @Vaibhavhayaran13 жыл бұрын

    I'm an engineering graduate and I've never been able to understand induction... That changes today. Good teachers are gods.

  • @MoDiscovery
    @MoDiscovery Жыл бұрын

    This teacher is single handedly saving millions of students💪 Eddie Woo is the man fr

  • @luceliu5878
    @luceliu58788 жыл бұрын

    thank you!! you explain it better and more concisely than my compsci prof

  • @turino1289

    @turino1289

    Жыл бұрын

    Literally sitting here in my car after my discrete structures lecture and this man just made it click

  • @seunalatise8916
    @seunalatise89163 жыл бұрын

    thanks Mr Eddie Woo, you just save me tons of energy and time. Your explanation was an eye opener for me to mathematical induction.

  • @allebachjedd
    @allebachjedd8 жыл бұрын

    You are an amazing teacher! Thank you for doing what you do!

  • @batchprogrammer108
    @batchprogrammer1085 жыл бұрын

    Concise, Easy to Understand, Enthusiastic... Amazing.

  • @nwojijijoseph4889
    @nwojijijoseph48892 жыл бұрын

    this is the best and easiest explanation of mathematical induction I have ever come across. thanks teacher Eddie

  • @davidham1330
    @davidham13307 жыл бұрын

    I had a maths teacher like you last year but now I've moved schools and my teachers aren't as good and the only way I am surviving is by watching your videos thanks Eddie Woo

  • @jedirevan101
    @jedirevan1019 жыл бұрын

    Great explanation, exactly what I had issues with! Thank you!

  • @gautammohite1005
    @gautammohite10058 жыл бұрын

    Thank you Eddie! This was very helpful.

  • @goddessm2752
    @goddessm27525 жыл бұрын

    Great job! Extremely clear and concise.

  • @TheTanmaybishnoi
    @TheTanmaybishnoi6 жыл бұрын

    You're an Amazing teacher Mister woo! I loathed maths. I love it now.

  • @RussGarcia
    @RussGarcia10 жыл бұрын

    Thank You! Great Lecture!

  • @jasonthomas2908
    @jasonthomas29083 жыл бұрын

    I'm in a maths degree and this explanation is fantastic. :D

  • @thunderjawgaming
    @thunderjawgaming3 жыл бұрын

    Awesome stuff professor very easy to understand now :)

  • @Nafeel_Afri
    @Nafeel_Afri Жыл бұрын

    Thank you sir! I really love your teaching method. I understand even in one time, which I couldn't understand when my professor go through even 3 times.

  • @leoonomconsolidated4316
    @leoonomconsolidated43166 жыл бұрын

    You are the best, bravoo!!.

  • @meilynmisya8580
    @meilynmisya85803 жыл бұрын

    I hope you will continue your video, it's so clear and concise

  • @linconymakore8015
    @linconymakore80156 жыл бұрын

    Thank you!Best Lecturer!

  • @adityasheoran7867
    @adityasheoran786711 ай бұрын

    Just too good 👍

  • @heartborne123
    @heartborne1233 жыл бұрын

    with Eddie it looks so simple :) thanks a lot!

  • @joshl3013
    @joshl30132 жыл бұрын

    Great lectures, keep it up!!

  • @rmyj
    @rmyj2 жыл бұрын

    Brilliant, thanks Eddie.

  • @MuhammadAnas_Official
    @MuhammadAnas_Official5 ай бұрын

    Love it! keep going sir.

  • @laurahatheway8801
    @laurahatheway8801 Жыл бұрын

    This was so helpful! Thank you for sharing.

  • @hearvie
    @hearvie6 жыл бұрын

    You should come to Ghana...we seriously need lecturers like this who don't make us sleep😭😂

  • @donnxayy
    @donnxayy Жыл бұрын

    You are the best!

  • @nawfaljafri
    @nawfaljafri2 жыл бұрын

    17:45 "and if u wanna be a real nerd heh u can say.." i love this

  • @samueldarko9360
    @samueldarko9360 Жыл бұрын

    Ok I think I like it here, easy to understand, makes jokes that keep u engage, hot teacher

  • @TailsWarrior38
    @TailsWarrior384 жыл бұрын

    I thought he was asking for Dominoes pizza

  • @ngrobert5054
    @ngrobert50544 ай бұрын

    I am grateful Mr Woo Mathematics teaching never able to grasp Maths easily

  • @mahmudhasan4153
    @mahmudhasan41534 жыл бұрын

    I wish you were my mark teacher. You explain a lot easier. best teacher for me.

  • @chikomatemboh1234
    @chikomatemboh12348 жыл бұрын

    this helped so much did know induction can be this easy

  • @justbefunman4422
    @justbefunman4422 Жыл бұрын

    my teacher taught this in like five minute, so can bearly understand, thanks to this class now i know

  • @diyaael-shorbagy7056
    @diyaael-shorbagy70565 жыл бұрын

    amazing! thank u >>> very helpful

  • @samuelgulliver886
    @samuelgulliver8864 жыл бұрын

    Thanks mate, helped a lot

  • @sylviarq9964
    @sylviarq99644 жыл бұрын

    I love the way you explain it ! simple and in a very cool way . Im in love

  • @hidayafathi5692

    @hidayafathi5692

    4 жыл бұрын

    Syl R Q in love with maths, I hope

  • @reignhard4696
    @reignhard46963 жыл бұрын

    I can understand this video better than the video they provided on my online course...

  • @davidparkinsonoreiro7757
    @davidparkinsonoreiro77572 жыл бұрын

    very helpful, thanks

  • @rudranirajput6183
    @rudranirajput61836 жыл бұрын

    You are excellent teacher

  • @natechang3690
    @natechang3690 Жыл бұрын

    bruh I actually get goosebumps if i watch this guy's video

  • @bhawnaklair3681
    @bhawnaklair36813 жыл бұрын

    Thank you! Thank you! Thank you!!!!!

  • @krithikaravi494
    @krithikaravi4948 жыл бұрын

    thank u soooo much... ur a very good lecturer

  • @farihazultana
    @farihazultana7 жыл бұрын

    Thank you so much!

  • @adityaaumeer1897
    @adityaaumeer18972 жыл бұрын

    BEST TEACHER EVER❤

  • @avikemarruters717
    @avikemarruters7174 жыл бұрын

    Can u teach us Strong Mathematical Induction?

  • @karendrozario4312
    @karendrozario43123 жыл бұрын

    Excellent.

  • @arammarquez
    @arammarquez3 жыл бұрын

    Fun Fact: Mathematical Induction is actually a deductive method of proof. Mathematical induction is different from logical induction. I’ve written quite a lengthy paper on this topic (while I was an undergrad studying mathematics). Lmk if you’re interested in reading it!

  • @mubeenahmed5682
    @mubeenahmed56826 жыл бұрын

    great work dude...

  • @ruthwossen943
    @ruthwossen9433 жыл бұрын

    You are adorable !

  • @misp627
    @misp627 Жыл бұрын

    Eddie Woo GOAT fr

  • @JHANSI_REDDY
    @JHANSI_REDDY2 жыл бұрын

    You explained it like a friend🥲Thank you so much

  • @benjaminowusuappiahjnr2039
    @benjaminowusuappiahjnr20392 жыл бұрын

    Quick question. Why didn't you use the whole term on the L.H.S to test since its not just (2n-1) equating to n squared.

  • @g7foryou280
    @g7foryou280 Жыл бұрын

    Hai sir iam from India 🇮🇳 thank you sir

  • @user-yp2kp1mj2q
    @user-yp2kp1mj2q4 жыл бұрын

    that duster is soo cool.

  • @charlesyu8038
    @charlesyu80382 жыл бұрын

    this guy is even better than my prof in u of t

  • @R3nxt
    @R3nxt4 жыл бұрын

    Brilliant

  • @Uchechukwu777
    @Uchechukwu7772 жыл бұрын

    I LOVE EDDIE WOO!!!!!!!!!!!!

  • @zachpanah6565
    @zachpanah65652 жыл бұрын

    WOOOOOOOOOOOOOOOOOOOOOO

  • @amiboo8853
    @amiboo88532 жыл бұрын

    why is he teaching me better than my specialist teacher?

  • @edsmalen
    @edsmalen3 жыл бұрын

    what if they say For all n ≥ 1: n ∑ (2i -1) = n^2 i = 1 What do I do with the i?

  • @Sebentheyargimachine
    @Sebentheyargimachine4 жыл бұрын

    Gitchee gitchee goo.

  • @kausarfatima4371
    @kausarfatima43712 жыл бұрын

    Nice explaination

  • @_Amnesiac_
    @_Amnesiac_3 жыл бұрын

    Gigachad teacher

  • @mramcmahonmaths
    @mramcmahonmaths5 жыл бұрын

    One teacher to another ... 👏 Just out of interest...is your class always lecture form and do you not like use of technology, gimmicks etc?

  • @snehpatel9897
    @snehpatel9897 Жыл бұрын

    Not all heros wear capes, some wear sweater vests.

  • @hrsh.6556
    @hrsh.65565 жыл бұрын

    PLZ BE MY CLASS TEACHER

  • @sevenaries
    @sevenaries2 жыл бұрын

    why do i attend university

  • @venmis137
    @venmis1379 ай бұрын

    I've known how to do induction for ages, but I was never able to do it because (ironically) I didn't understand how you could just "assume" n=k is true, and consequently I assumed there was something I was missing. Turns out you literally just assume it.

  • @rr9583
    @rr95833 жыл бұрын

    Thanks

  • @marialauranavarro7867
    @marialauranavarro7867 Жыл бұрын

    Can you prove a physics or economics formula with mathematical induction? Can u make a video of it? 😃😀

  • @oluwatobiadeleke4091
    @oluwatobiadeleke40912 жыл бұрын

    I have a question: Wouldn't the next number after 2k - 1 be 2k? Therefore making the prove part: 1 + 3 + 5 + ... + (2k - 1) + (2k) = (k^2 + 2k) or 1 + 3 + 5 + ... + (2k - 1) + [(2k - 1) + 1] = (k^2 + 2k) The way I see he added 2 to (2k - 1), but isn't it supposed to be the next number after 2k - 1, namely, 2k? It's at 11:35

  • @hmm1778

    @hmm1778

    2 жыл бұрын

    It's a series of odd numbers, hence next number is +2 from previous one(not +1).

  • @oluwatobiadeleke4091

    @oluwatobiadeleke4091

    2 жыл бұрын

    @@hmm1778 Oh yes, of course, forgot about that. Thanks.

  • @KD19192

    @KD19192

    Жыл бұрын

    @@hmm1778 yeh but 2n-1 does not equal n^2

  • @107ashrafulmasum5
    @107ashrafulmasum58 жыл бұрын

    excellent job

  • @hearvie
    @hearvie6 жыл бұрын

    Your students are really lucky..You make it so simple to understand. Best teacher ever. Could I have an email to personally send me questions to?

  • @karanpokhrel5675

    @karanpokhrel5675

    6 жыл бұрын

    👍👍👍👏👏👏🙏🙏

  • @nagarajunaragani467
    @nagarajunaragani4674 жыл бұрын

    In which institute are u teaching .?u r the best

  • @dagmawitesfaye786
    @dagmawitesfaye7862 жыл бұрын

    G, thanks. That's all I can say.

  • @samlitchfield2677
    @samlitchfield2677 Жыл бұрын

    GOAT

  • @jessecochrane7471

    @jessecochrane7471

    Жыл бұрын

    Clutched up in OT

  • @lawsonbanks3522

    @lawsonbanks3522

    Жыл бұрын

    lets gooooo

  • @angusbrewer7252

    @angusbrewer7252

    Жыл бұрын

    Common Eddie W

  • @MegaFristy
    @MegaFristy5 жыл бұрын

    why is (2n-1) = n ^ 2 ?

  • @user-pr1xg4ey9g

    @user-pr1xg4ey9g

    5 жыл бұрын

    2n - 1 is the general formula for every odd no. 2n - 1 IS NOT EQUAL TO n^2 But summation of 2n -1 is. That means the sum of n odd nos is equal to n^2. For example, if n = 2 We put n = 2 in the equation - sum of 2 odd nos = n^2 = 2^2 I have the first 2 odd nos i.e. 1 and 3. Now 1+3 = 4 Also we had n = 2 and so n^2 is 2^2 which is 4. So 1 + 3 + 5 +...+ (2n-1) = n^2 is a general equation where n odd nos. When added give the sum as n^2. Hope it helps.

  • @aaronhernandez162
    @aaronhernandez1626 жыл бұрын

    On 4:59-5:12 I couldn't quite understand what he said when he stated what type of series the problem can only be solved through, i had even checked closed captions and the provided transcript but it showed a asthmatic sequence. can someone help

  • @zs9301

    @zs9301

    6 жыл бұрын

    Arithmetic

  • @LongoHighlights

    @LongoHighlights

    6 жыл бұрын

    He just says you must know Arithmetic series to complete this, also that you will learn how to do it with other series later once you have learnt it. That’s what I think he meant but I am not 100% sure as I am only able to do arithmetic series at the moment as well.

  • @sophiebobb4010

    @sophiebobb4010

    6 жыл бұрын

    Yeah, so basically he was saying that the formula for arithmetic series only works...because it is an arithmetic series. He was trying to show proof by induction's helpfulness, despite just having shown that you can easily prove the example through deduction. It wasn't too important; all it really meant was that proof by induction is useful to know because sometimes it's all you can use/the best method.

  • @glennredwine289
    @glennredwine2893 жыл бұрын

    Eddie you seem like a very good teacher but the whiteboard is too far away from the camera.

  • @vinceperry769
    @vinceperry7696 жыл бұрын

    Induction proof multiple variable method. 1)Show that it's true for the smallest concrete case (anchor case). 2)Assume it's true for the general case. 3) Logically prove that if it's true for the general case then it's true for all next general cases. 4)Explain that the variables can be assigned values of the concrete (or anchor) case

  • @KD19192
    @KD19192 Жыл бұрын

    The explanation was good but he made a mistake 😅. 2n-1 is not equals to n^2

  • @clarizard2964
    @clarizard29643 жыл бұрын

    i love you

  • @anushahkhan4299
    @anushahkhan42994 жыл бұрын

    You are soo energetic and good teacher.Are you from China.If it then I want to go to China for study

  • @subratakumarpal8277
    @subratakumarpal82772 жыл бұрын

    Strong mathematics induction and weak form...

  • @maynudienessack121
    @maynudienessack12110 жыл бұрын

    Thanks ! Are you on skype? I have a few simple questions, and I am confident that you will be able to answer. Thanks. (I am writing a test next week Friday i.e 06/03/14) a reply in this regard would be appreciated! Thanks again for the helpful lesson.

  • @fsilveyra6469

    @fsilveyra6469

    5 жыл бұрын

    oof

  • @AmiinAhmedFatulle110
    @AmiinAhmedFatulle1106 ай бұрын

    2024👋

  • @asmaamohammad1999
    @asmaamohammad19993 жыл бұрын

    You are the best!