Introduction to Mathematical Induction

  Рет қаралды 177,441

Eddie Woo

Eddie Woo

Күн бұрын

Пікірлер: 112
@Vaibhavhayaran1
@Vaibhavhayaran1 3 жыл бұрын
I'm an engineering graduate and I've never been able to understand induction... That changes today. Good teachers are gods.
@kajenjen9213
@kajenjen9213 4 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
@MoDiscovery
@MoDiscovery Жыл бұрын
This teacher is single handedly saving millions of students💪 Eddie Woo is the man fr
@luceliu5878
@luceliu5878 8 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
@nwojijijoseph4889
@nwojijijoseph4889 2 жыл бұрын
this is the best and easiest explanation of mathematical induction I have ever come across. thanks teacher Eddie
@seunalatise8916
@seunalatise8916 3 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.
@batchprogrammer108
@batchprogrammer108 5 жыл бұрын
Concise, Easy to Understand, Enthusiastic... Amazing.
@allebachjedd
@allebachjedd 9 жыл бұрын
You are an amazing teacher! Thank you for doing what you do!
@nawfaljafri
@nawfaljafri 2 жыл бұрын
17:45 "and if u wanna be a real nerd heh u can say.." i love this
@jasonthomas2908
@jasonthomas2908 3 жыл бұрын
I'm in a maths degree and this explanation is fantastic. :D
@davidham1330
@davidham1330 7 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
@jedirevan101 9 жыл бұрын
Great explanation, exactly what I had issues with! Thank you!
@goddessm2752
@goddessm2752 5 жыл бұрын
Great job! Extremely clear and concise.
@gautammohite1005
@gautammohite1005 8 жыл бұрын
Thank you Eddie! This was very helpful.
@hearvie
@hearvie 6 жыл бұрын
You should come to Ghana...we seriously need lecturers like this who don't make us sleep😭😂
@RussGarcia
@RussGarcia 10 жыл бұрын
Thank You! Great Lecture!
@linconymakore8015
@linconymakore8015 6 жыл бұрын
Thank you!Best Lecturer!
@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.
@heartborne123
@heartborne123 3 жыл бұрын
with Eddie it looks so simple :) thanks a lot!
@TheTanmaybishnoi
@TheTanmaybishnoi 7 жыл бұрын
You're an Amazing teacher Mister woo! I loathed maths. I love it now.
@adityasheoran7867
@adityasheoran7867 11 ай бұрын
Just too good 👍
@leoonomconsolidated4316
@leoonomconsolidated4316 6 жыл бұрын
You are the best, bravoo!!.
@thunderjawgaming
@thunderjawgaming 3 жыл бұрын
Awesome stuff professor very easy to understand now :)
@meilynmisya8580
@meilynmisya8580 3 жыл бұрын
I hope you will continue your video, it's so clear and concise
@arammarquez
@arammarquez 3 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!
@mahmudhasan4153
@mahmudhasan4153 4 жыл бұрын
I wish you were my mark teacher. You explain a lot easier. best teacher for me.
@rmyj
@rmyj 2 жыл бұрын
Brilliant, thanks Eddie.
@joshl3013
@joshl3013 2 жыл бұрын
Great lectures, keep it up!!
@laurahatheway8801
@laurahatheway8801 Жыл бұрын
This was so helpful! Thank you for sharing.
@samueldarko9360
@samueldarko9360 Жыл бұрын
Ok I think I like it here, easy to understand, makes jokes that keep u engage, hot teacher
@MuhammadAnas_Official
@MuhammadAnas_Official 5 ай бұрын
Love it! keep going sir.
@donnxayy
@donnxayy Жыл бұрын
You are the best!
@ngrobert5054
@ngrobert5054 4 ай бұрын
I am grateful Mr Woo Mathematics teaching never able to grasp Maths easily
@chikomatemboh1234
@chikomatemboh1234 8 жыл бұрын
this helped so much did know induction can be this easy
@diyaael-shorbagy7056
@diyaael-shorbagy7056 5 жыл бұрын
amazing! thank u >>> very helpful
@samuelgulliver886
@samuelgulliver886 4 жыл бұрын
Thanks mate, helped a lot
@adityaaumeer1897
@adityaaumeer1897 2 жыл бұрын
BEST TEACHER EVER❤
@justbefunman4422
@justbefunman4422 Жыл бұрын
my teacher taught this in like five minute, so can bearly understand, thanks to this class now i know
@sylviarq9964
@sylviarq9964 4 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
@TailsWarrior38
@TailsWarrior38 4 жыл бұрын
I thought he was asking for Dominoes pizza
@avikemarruters717
@avikemarruters717 4 жыл бұрын
Can u teach us Strong Mathematical Induction?
@farihazultana
@farihazultana 7 жыл бұрын
Thank you so much!
@natechang3690
@natechang3690 Жыл бұрын
bruh I actually get goosebumps if i watch this guy's video
@reignhard4696
@reignhard4696 3 жыл бұрын
I can understand this video better than the video they provided on my online course...
@davidparkinsonoreiro7757
@davidparkinsonoreiro7757 2 жыл бұрын
very helpful, thanks
@bhawnaklair3681
@bhawnaklair3681 3 жыл бұрын
Thank you! Thank you! Thank you!!!!!
@krithikaravi494
@krithikaravi494 8 жыл бұрын
thank u soooo much... ur a very good lecturer
@karendrozario4312
@karendrozario4312 3 жыл бұрын
Excellent.
@ruthwossen943
@ruthwossen943 3 жыл бұрын
You are adorable !
@g7foryou280
@g7foryou280 Жыл бұрын
Hai sir iam from India 🇮🇳 thank you sir
@JHANSI_REDDY
@JHANSI_REDDY 2 жыл бұрын
You explained it like a friend🥲Thank you so much
@rudranirajput6183
@rudranirajput6183 6 жыл бұрын
You are excellent teacher
@mubeenahmed5682
@mubeenahmed5682 6 жыл бұрын
great work dude...
@amiboo8853
@amiboo8853 2 жыл бұрын
why is he teaching me better than my specialist teacher?
@Uchechukwu777
@Uchechukwu777 2 жыл бұрын
I LOVE EDDIE WOO!!!!!!!!!!!!
@charlesyu8038
@charlesyu8038 2 жыл бұрын
this guy is even better than my prof in u of t
@misp627
@misp627 Жыл бұрын
Eddie Woo GOAT fr
@venmis137
@venmis137 9 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.
@user-yp2kp1mj2q
@user-yp2kp1mj2q 5 жыл бұрын
that duster is soo cool.
@kausarfatima4371
@kausarfatima4371 2 жыл бұрын
Nice explaination
@R3nxt
@R3nxt 4 жыл бұрын
Brilliant
@Sebentheyargimachine
@Sebentheyargimachine 4 жыл бұрын
Gitchee gitchee goo.
@benjaminowusuappiahjnr2039
@benjaminowusuappiahjnr2039 2 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.
@mramcmahonmaths
@mramcmahonmaths 5 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?
@zachpanah6565
@zachpanah6565 2 жыл бұрын
WOOOOOOOOOOOOOOOOOOOOOO
@hearvie
@hearvie 6 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
👍👍👍👏👏👏🙏🙏
@_Amnesiac_
@_Amnesiac_ 3 жыл бұрын
Gigachad teacher
@snehpatel9897
@snehpatel9897 Жыл бұрын
Not all heros wear capes, some wear sweater vests.
@107ashrafulmasum5
@107ashrafulmasum5 8 жыл бұрын
excellent job
@marialauranavarro7867
@marialauranavarro7867 Жыл бұрын
Can you prove a physics or economics formula with mathematical induction? Can u make a video of it? 😃😀
@hrsh.6556
@hrsh.6556 5 жыл бұрын
PLZ BE MY CLASS TEACHER
@vinceperry769
@vinceperry769 6 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
@sevenaries
@sevenaries 2 жыл бұрын
why do i attend university
@nagarajunaragani467
@nagarajunaragani467 4 жыл бұрын
In which institute are u teaching .?u r the best
@oluwatobiadeleke4091
@oluwatobiadeleke4091 3 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
@edsmalen
@edsmalen 3 жыл бұрын
what if they say For all n ≥ 1: n ∑ (2i -1) = n^2 i = 1 What do I do with the i?
@rr9583
@rr9583 3 жыл бұрын
Thanks
@dagmawitesfaye786
@dagmawitesfaye786 2 жыл бұрын
G, thanks. That's all I can say.
@KD19192
@KD19192 Жыл бұрын
The explanation was good but he made a mistake 😅. 2n-1 is not equals to n^2
@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
@glennredwine289
@glennredwine289 3 жыл бұрын
Eddie you seem like a very good teacher but the whiteboard is too far away from the camera.
@MegaFristy
@MegaFristy 5 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
@aaronhernandez162 6 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.
@anushahkhan4299
@anushahkhan4299 4 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
@subratakumarpal8277 2 жыл бұрын
Strong mathematics induction and weak form...
@clarizard2964
@clarizard2964 3 жыл бұрын
i love you
@AmiinAhmedFatulle110
@AmiinAhmedFatulle110 6 ай бұрын
2024👋
@maynudienessack121
@maynudienessack121 10 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
@asmaamohammad1999
@asmaamohammad1999 3 жыл бұрын
You are the best!
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