The Beauty and Power of Mathematics | William Tavernetti | TEDxUCDavis

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  • เผยแพร่เมื่อ 20 พ.ย. 2024

ความคิดเห็น • 234

  • @angyxela112
    @angyxela112 7 ปีที่แล้ว +449

    one the best professor I have ever had in my college life

    • @cryptomaniac3781
      @cryptomaniac3781 6 ปีที่แล้ว +7

      Your profile pic at first looked like a strange dog with a damaged bloody eye.

    • @JustAddingMy2Cents
      @JustAddingMy2Cents 3 ปีที่แล้ว

      Guessing your college didn't offer grammer? :-)

    • @angyxela112
      @angyxela112 3 ปีที่แล้ว +22

      ​@@JustAddingMy2Cents No, nor did it offer Nazism on grammar

    • @sb.sb.sb.
      @sb.sb.sb. 3 ปีที่แล้ว

      @@angyxela112 not value for money without good courses ;)

    • @angyxela112
      @angyxela112 3 ปีที่แล้ว +2

      @@sb.sb.sb. No use of any course without basic comprehension ;)

  • @faithlee3147
    @faithlee3147 ปีที่แล้ว +15

    This is my math professor and he is awesome in what he teaches!!

  • @gmanon1181
    @gmanon1181 5 ปีที่แล้ว +46

    This speech would be like a master piece as an introductory class for honor students.
    He wakes up the interest for every formula as a fascinating subject.
    Amazing!

  • @emilyrowe4808
    @emilyrowe4808 5 ปีที่แล้ว +22

    Ever since I joined his class I gained a new perspective that no other math teacher in my life has evoked. 10/10 great professor. Highly recommend

  • @tylerhoods4614
    @tylerhoods4614 5 ปีที่แล้ว +54

    Thought about switching my major during sophomore year. Decided to continue to pursue my math degree after I met Tavernetti. Truly inspirational.

  • @denislalaj9345
    @denislalaj9345 4 ปีที่แล้ว +12

    I am amazed at how this professor can feel the beauty of mathematics! I used to consider math as undisputed but simply a means for other things and never until recently took the time to look into how fascinating it can be. It is essentially everywhere! And it is beautiful!

  • @ErojFeeding
    @ErojFeeding 7 ปีที่แล้ว +86

    Bertrand Russell expressed his sense of mathematical beauty in these words:
    Mathematics, rightly viewed, possesses not only truth, but supreme beauty - a beauty cold and austere, like that of sculpture, without appeal to any part of our weaker nature, without the gorgeous trappings of painting or music, yet sublimely pure, and capable of a stern perfection such as only the greatest art can show. The true spirit of delight, the exaltation, the sense of being more than Man, which is the touchstone of the highest excellence, is to be found in mathematics as surely as poetry.

  • @carolinekettlehake4355
    @carolinekettlehake4355 2 ปีที่แล้ว +2

    This is by far the best professor I've had during my college time. He sits down with me and works through all my homework with me until I actually understand what the questions are asking. Some of the most motivational pep talks I've had have come from Dr. tav; he genuinely makes me feel like I'm not a failure in college.

  • @colinedwards7367
    @colinedwards7367 7 ปีที่แล้ว +306

    If only we would allow our children and grandchildren to learn the beauty and power of maths instead of telling them that we could not understand it because the idea of being unable to understand maths had been passed down to us by our family and friends for generations.

    • @chrisalvarado6361
      @chrisalvarado6361 5 ปีที่แล้ว +7

      That is the worst thing a parent can say, "I wasn't good at math either."

    • @jacksummer4041
      @jacksummer4041 4 ปีที่แล้ว +8

      😂 this might sound funny but I took majors because people says it's tough and things like that...... I started liking math once I was introduced to trigonometry in my 9th standard
      Im doing my bachelors and I am finding lots of difficulties. I now why people say its tought 😂 Well it sure is!
      There's no regret in choosing math as my major!
      It's sure is challenging
      I'm here to looking at this video to find some inspiration to study.

    • @paula2761
      @paula2761 4 ปีที่แล้ว

      i strongly agree😌😌💪🏼

    • @mrezarifki
      @mrezarifki 4 ปีที่แล้ว

      Yes

    • @Light-np7mw
      @Light-np7mw 3 ปีที่แล้ว +3

      Saying this as a 15 year old who’s now a fan of maths which is a “nerdy” thing to say nowadays,what I have to say is that it’s the school fault for not showing us students the power of mathematics and it’s applications,now I’m glad that I was wondering and interested.

  • @IMdAbdulquadirKhan
    @IMdAbdulquadirKhan 5 ปีที่แล้ว +26

    I used to hate math in my childhood because in school we were taught mathematics in very boring and useless way and because of that I hated math.
    But I realized after sometime that it has an inner observation to overlook but even tutors of mathematics don't appreciate nor understand the beauty in it . I'm still very bad at I can't even perform minor calculation like long division and multiplication
    But mathematics have my love and honor

  • @evahdarth4406
    @evahdarth4406 5 ปีที่แล้ว +61

    There's no wrong reason to learn (math)
    That touched me spiritually. Math is my new religion

  • @odbojkasica98
    @odbojkasica98 7 ปีที่แล้ว +172

    This is so inspiring!! I love the way he shows his passion for mathematics, that's what great teachers do, they share their passion with others :D

    • @centralprocessingunit2564
      @centralprocessingunit2564 6 ปีที่แล้ว +1

      This guy has no Passion
      He's just filled with Pride

    • @GlassOnion23
      @GlassOnion23 5 ปีที่แล้ว +4

      @@centralprocessingunit2564 What a completely ridiculous comment.

    • @sb.sb.sb.
      @sb.sb.sb. 3 ปีที่แล้ว +1

      @@centralprocessingunit2564 i agree. reminds me of Socrates saying people who are good at one trade tend to think of themselves as knowledgeable

  • @byakugan422
    @byakugan422 5 ปีที่แล้ว +17

    I really wish I could take some classes under these sorts of professors. Those who are enthusiastic about what they teach have a way of explaining concepts like no one else can.

    • @instafruit5121
      @instafruit5121 3 ปีที่แล้ว +5

      I'm taking his class in UC Davis right now and can confirm that he is as passionate in the classroom as presented here. At the start of each lecture he shares some cool math stories, quotes and memes with us. His lectures are informative and he is ready to help anyone who asks.

  • @georginacedeno7241
    @georginacedeno7241 7 ปีที่แล้ว +17

    Thank you! Stressed about my upcoming calculus exam but this message reminded me to appreciate the beauty.

  • @rongkezhang9827
    @rongkezhang9827 6 ปีที่แล้ว +4

    He is such a brilliant professor. If you study math in UC Davis, just go for him. He will never disappoint you in any way.

  • @juairiaapsara01
    @juairiaapsara01 ปีที่แล้ว +1

    Without mathematics, there is nothing in the universe.Mathematics is the best felicity,blessing for human beings of any era,any century. All should try to feel it.Human should go to deep of mathematics. I love it so much.❤❤

  • @ouichtan
    @ouichtan 5 ปีที่แล้ว +5

    I had to pause, think, pause again and again to make sense of what was said and it was worth it. Very interesting video, thank you for sharing your knowledge with so much enthusiasm.

  • @CMMI5
    @CMMI5 5 ปีที่แล้ว +9

    Beautiful lecture Professor and I tell you that no one will see mathematics in the same way they did before this presentation.

  • @rascallionvagabond8159
    @rascallionvagabond8159 5 ปีที่แล้ว +9

    The best lecture I’ve ever seen for mathematics.Respect to this person,I can’t express how awesome tis video is by words.Just respect him

  • @abdoolsattarcassim6717
    @abdoolsattarcassim6717 4 ปีที่แล้ว +73

    A wise man once said: "When I saw letters in math in grade 6, I became scared. When I saw numbers in college calculus, I trembled"

    • @abdoolsattarcassim6717
      @abdoolsattarcassim6717 3 ปีที่แล้ว +10

      Surprisingly, 5 months later and doing Calculus 3, I think it's the contrary. Calculus is a one way spiritual journey to a world of transcendence and understanding of the world around us. Personally, I just lost sleep 😂

  • @dna1238
    @dna1238 3 ปีที่แล้ว +1

    That was a true statement and sort of " cheeky joke " that the audience did not really get , your smile hinted at at . Many Thanks for a enlightening talk . All the Best Prof. Tavernetti

  • @CoolGirl007
    @CoolGirl007 2 ปีที่แล้ว +1

    It's about solving problems, always finding the missing part and put it back for completion

  • @yudidarma8566
    @yudidarma8566 4 ปีที่แล้ว +4

    Beauty of Mathematics in our life.. Great Professor..salam Math from 🇲🇨

  • @captkony3519
    @captkony3519 7 ปีที่แล้ว +3

    One of my most favorite Profs Ive had so far!

  • @carlocapistrano300
    @carlocapistrano300 5 ปีที่แล้ว +4

    I love your enthusiasm and your mastery of the subject. Thanks for this.

  • @arawalshukla5413
    @arawalshukla5413 3 ปีที่แล้ว +1

    Excellent video, these kind of professors should be there to open the eye of the world towards science and maths

  • @sprinkle1839
    @sprinkle1839 2 ปีที่แล้ว

    Dr. Tav is an icon, his class is amazing and he's such a cool person

  • @AndrewSindel
    @AndrewSindel 8 ปีที่แล้ว +19

    It's like many of our coffee talks got compressed into 12 minutes. A great presentation!

  • @LoopDoc
    @LoopDoc 4 ปีที่แล้ว +2

    What an AMAZING video. I enjoyed the confident, enthusiastic voice and love of numbers. Thank you for the motivation in this endeavor of mine.

  • @fitodibene167
    @fitodibene167 5 ปีที่แล้ว +5

    All I want is to have the confidence to gesture a sphere in public the way he did

  • @spoonerbooner
    @spoonerbooner 5 ปีที่แล้ว +1

    fractals , you never see the whole of it you only get the sense of it,
    Like reality we can only ever get a sense of it, so showing this to my Art students .

  • @classicog1639
    @classicog1639 6 ปีที่แล้ว +31

    Looks like I might change my major from Physics to Mathematics

  • @hopsekihuang2990
    @hopsekihuang2990 5 ปีที่แล้ว +4

    OMG, This is my professor !!!!, he is the one the best math professor in whole life. It was so inspiring speech

  • @amitsingh6252
    @amitsingh6252 4 ปีที่แล้ว +4

    THANK YOU SIR . I LOVE YOUR TEACHING WAY ...................

  • @angel_ia
    @angel_ia 7 ปีที่แล้ว

    Per quarter: curve=Velocity+acceleration gain. Vt+½vt=1½vt= 1½ S.
    C=4x1½S= 6.
    So Π = 3.
    Hard to prove manually (due to human error etc) but by calculation it is absolutely right.

  • @haoyuan8227
    @haoyuan8227 7 ปีที่แล้ว +1

    My favorite math professor ever

  • @countacymathematics
    @countacymathematics 4 ปีที่แล้ว +3

    Maths is our life and our life is Maths🥰🥰... We live in a Mathematical incorporated world😍

  • @guyfieri4979
    @guyfieri4979 6 ปีที่แล้ว +75

    Hey that’s my prof 🤭👏😤💯😍

  • @rahgurung
    @rahgurung 6 ปีที่แล้ว +7

    He is awesome, he really influenced me.

  • @CGoldthorpe
    @CGoldthorpe 7 ปีที่แล้ว +246

    without math, there can be no science.

    • @Edkahmed
      @Edkahmed 6 ปีที่แล้ว +5

      There can be no life* , you can have 1 apple , 2 trees , but can you have " tree " or can you have "3" without referencing to anything ?

    • @not.my.democrat
      @not.my.democrat 4 ปีที่แล้ว +6

      Math explains everything.

    • @JordanFlowers10
      @JordanFlowers10 4 ปีที่แล้ว +5

      Without math, nothing exists.

    • @learn_with_lusan
      @learn_with_lusan 4 ปีที่แล้ว +1

      Yes sir but no one believe me when i say this to my friends , teacher and other also.....

    • @faismasterx
      @faismasterx 4 ปีที่แล้ว +1

      Well, no, that's not quite right. You can still do science, but you won't have data and precision won't be a concept you have to think about. You can do science without math. It will just be bad science.

  • @vdog3248
    @vdog3248 6 ปีที่แล้ว +2

    He said "you eventually see what you are learning around you" there's a theory that our reality is created by our thoughts.

  • @DeepakThakur-zh4fc
    @DeepakThakur-zh4fc 6 ปีที่แล้ว +1

    You should surely watch this

  • @renehernadez4977
    @renehernadez4977 ปีที่แล้ว

    Very good Professor. His class was awesome. 🥹🥹🥹

  • @yuanzhenggay799
    @yuanzhenggay799 7 ปีที่แล้ว +1

    Thanks for the share Dr. Tavernetti

  • @anirudhpj8875
    @anirudhpj8875 4 ปีที่แล้ว +1

    I am literally crying with happiness

  • @conpa18dany
    @conpa18dany 8 ปีที่แล้ว +3

    Wow... such inspirational speech. Got a lump in the throat

  • @mohammedmuqeem294
    @mohammedmuqeem294 5 ปีที่แล้ว +3

    I am not good in mathematics but I love it

  • @bikashbrahma3473
    @bikashbrahma3473 4 ปีที่แล้ว +2

    Thank you sir....

  • @shredSquaw
    @shredSquaw 8 ปีที่แล้ว +11

    Very interesting and great presentation!

  • @robertarvanitis8852
    @robertarvanitis8852 5 หลายเดือนก่อน

    There is a deep attraction to mathematics, a beauty that is aesthetic, not rational.
    Yet math is to physics as grammar is to poetry. The vessel, not the contents.
    Everything in math is already there, inherent in the premises. Math is valid, not true.
    And we have spun more mathematics than our current understanding of nature can use.

  • @elidel3299
    @elidel3299 6 ปีที่แล้ว +5

    MATH is the gateway to another dimension

  • @faismasterx
    @faismasterx 6 ปีที่แล้ว +80

    This dude has a big flair for the dramatic. I get the sense that the audience doesn't share his energy and enthusiasm.

    • @tpstrat14
      @tpstrat14 5 ปีที่แล้ว +4

      he wasn't spouting meaningless applause break political nonsense, no

    • @jacksummer4041
      @jacksummer4041 4 ปีที่แล้ว +2

      I've a professor who have more energy than him 😂 I feel bad for him when me and my mates don't show any reactions to his enthusiasm

    • @siralanturing9103
      @siralanturing9103 3 ปีที่แล้ว +2

      Lol his sphere construction movements were so funny.

    • @instafruit5121
      @instafruit5121 3 ปีที่แล้ว +2

      Agreed, although it makes his lectures more entertaining even if they start at 8 am...

    • @blueberry_borb
      @blueberry_borb 3 ปีที่แล้ว +2

      @@instafruit5121 lol as a student currently taking one Dr. Tav’s (this speaker) 8am this quarter, can confirm his enthusiasm is definitely entertaining and helps wake me up.

  • @Lahoria9
    @Lahoria9 2 ปีที่แล้ว

    I started loving mathematics when I recently realised that my home Street has delicate arc in it.

  • @unitedpvp1372
    @unitedpvp1372 4 ปีที่แล้ว +1

    THAT IS MY PROFESSOR!!!!

  • @Sciencedoneright
    @Sciencedoneright 4 ปีที่แล้ว +1

    Too beautiful and elegant when you write only 5 letters and numbers;

    e = -1

  • @melialandero99
    @melialandero99 3 ปีที่แล้ว

    this is so inspiring and motivated.

  • @GammaFrost1
    @GammaFrost1 5 ปีที่แล้ว +2

    LSD is what sets off that math trigger in a lot of people from what I've seen

  • @alfredomatias5549
    @alfredomatias5549 7 ปีที่แล้ว +10

    Wow! Very interesting and great presentation!

  • @yellooh
    @yellooh 5 ปีที่แล้ว

    Beauty is everything so is mathematics.

  • @mahanteshbangaragi1678
    @mahanteshbangaragi1678 6 ปีที่แล้ว

    MATHEMATICS IS A BEAUTIFUL PRICELESS PRINCESS

  • @aimes7343
    @aimes7343 4 ปีที่แล้ว +1

    I am inspired!

  • @sadatnafis2032
    @sadatnafis2032 6 ปีที่แล้ว

    Mathematics is Love

  • @Xtiger-pc9ln
    @Xtiger-pc9ln 4 ปีที่แล้ว

    So many Formulas. So much knowledge and mysteries. In Numbers!
    Such

  • @shrimanthkarthikvlogs9277
    @shrimanthkarthikvlogs9277 3 ปีที่แล้ว

    i can multiply a number by 3 in fraction of a second...it started when i was a kid...all i can say is maths is in built

  • @smitorshiroy635
    @smitorshiroy635 7 ปีที่แล้ว +35

    why not Ramanujan?

    • @holomurphy22
      @holomurphy22 3 ปีที่แล้ว +2

      Because the river is too big for one cup

  • @renehernandeza.7309
    @renehernandeza.7309 4 ปีที่แล้ว

    William Tavernetti had me fighting for a grade. 🥰🥰

  • @professorinfinity5360
    @professorinfinity5360 5 ปีที่แล้ว +2

    Woow that's cool, bold and awesome, and highly creative

  • @jennyispoop4
    @jennyispoop4 4 ปีที่แล้ว

    by choosing to study math, you are choosing to live in a world of never ending beauty... even in chaos there is math

  • @ohorok2
    @ohorok2 8 ปีที่แล้ว +39

    Thanks to our creator for math. It is so complex so easy and so true like nothing else

  • @melissaloomis9507
    @melissaloomis9507 3 ปีที่แล้ว

    he loves math so much omg

  • @nileshpandey5724
    @nileshpandey5724 5 ปีที่แล้ว +1

    Best out of best

  • @kottekavitha2234
    @kottekavitha2234 6 ปีที่แล้ว +1

    Thank you very much.its very interesting

  • @Saral_Lekhi
    @Saral_Lekhi 5 ปีที่แล้ว +4

    Ok. "mathematics is a vast ocean of ideas". Thank you for terrifying me.

  • @SomenathChakraborty
    @SomenathChakraborty 3 ปีที่แล้ว

    Amazing talks!

  • @savitasondhi7690
    @savitasondhi7690 4 ปีที่แล้ว

    Best talk ever heard.

  • @jett6865
    @jett6865 6 ปีที่แล้ว +18

    Me and Math have a Love/ Hate relationship; I love math when I understand it; and hate it when I Dont

    • @aman-qj5sx
      @aman-qj5sx 5 ปีที่แล้ว +1

      Why? If you don't that's much more exciting- you get to dig deeper.

    • @traaotuong6107
      @traaotuong6107 5 ปีที่แล้ว

      Me too.

    • @yashagnihotri6901
      @yashagnihotri6901 4 ปีที่แล้ว +1

      Mine relation with maths is quite similar , but its like
      "I love it when I understand, and love it 3000 times when I don't !"

  • @369jwillow
    @369jwillow 5 ปีที่แล้ว +1

    Excellent!!! Great job! Love it! 🍏💜💚💙💛❤️

  • @BangMaster96
    @BangMaster96 6 ปีที่แล้ว +19

    Without Math, we would all still be living in grass huts

  • @joaopadua7134
    @joaopadua7134 4 ปีที่แล้ว +1

    Math is the only thing in the universe which has a right and a wrong answer for everything else it is relative

  • @betgamedelaisla248
    @betgamedelaisla248 6 ปีที่แล้ว +3

    How do you define Mathematics before? After watching the talk of Prof Tavernetti, did your view about Mathematics change? Why or why not?

  • @robertmcbrayer6633
    @robertmcbrayer6633 5 ปีที่แล้ว

    fractals is going down infinite process with a infinite process

  • @gracieaimeeherrera5403
    @gracieaimeeherrera5403 4 หลายเดือนก่อน

    I love this explication

  • @aravartomian1
    @aravartomian1 4 ปีที่แล้ว +1

    without math, this talk would be impossible.

  • @financialtrack7546
    @financialtrack7546 ปีที่แล้ว

    Great video

  • @randomusix609
    @randomusix609 3 ปีที่แล้ว

    I think that mathematics is like the only universal language, in our universe at least

  • @mikomevlogs7746
    @mikomevlogs7746 6 ปีที่แล้ว +2

    You moved of the circle!

  • @lifeunfair1794
    @lifeunfair1794 5 ปีที่แล้ว +5

    Don't loose it up, man! In this 95% HUMAN world...

    • @jacksummer4041
      @jacksummer4041 4 ปีที่แล้ว

      @Francisco Nieves hello? 😂 it's ur comment relate to the video?

  • @ZBAcademy
    @ZBAcademy 5 ปีที่แล้ว +6

    the only tool that you can see the work of god almighty is mathematics,
    and this leads you to know the real truth of our existence.

    • @jacksummer4041
      @jacksummer4041 4 ปีที่แล้ว

      Is God a mathematician?
      Yep he is!

  • @quickxotica22
    @quickxotica22 8 ปีที่แล้ว +3

    Nicely done!

  • @VeryWideEye
    @VeryWideEye 8 ปีที่แล้ว +34

    What he said are true, but IMHO the ones who would understand his words would already know that mathematics are beautiful.
    The rest of the population are still clueless.
    Sort of like preaching to the choir really.
    I enjoy the presentation nevertheless :)

    • @ErojFeeding
      @ErojFeeding 7 ปีที่แล้ว +4

      I know, and it's sad :'( no one will ever understand that doesn't understand already Paul Erdős, a famous 1900s mathematician, expressed his views on the ineffability of mathematics when he said, "Why are numbers beautiful? It's like asking why is Beethoven's Ninth Symphony beautiful. If you don't see why, someone can't tell you. I know numbers are beautiful. If they aren't beautiful, nothing is".

    • @jrkovar
      @jrkovar 7 ปีที่แล้ว

      I felt moved by this, encouraged and inspired -- though I have struggled to apprehend or enjoy algebra even. When I read such comments as yours and that of ErojFeeding, I feel reinforcement of my doubt that I will ever be able to speak fluently the language of math. Is it your sense that mathematicians and practitioners are not made, but born?

    • @RateOfChange
      @RateOfChange 6 ปีที่แล้ว

      I agree with you. It was pretty easy for me to understand his speech, since I'm a physicist, but it would definitely sound like he's speaking greek or russian if I had little to no understanding in mathematics. That's a shame, this man shouldn't be talking like that, assuming he is aware most of the audience knows little about mathematics.

  • @adityadubey2701
    @adityadubey2701 5 ปีที่แล้ว

    I am not good in mathematics but I like it and I like to solve mathematics

  • @gopalsuri1005
    @gopalsuri1005 หลายเดือนก่อน

    "Everything will be easy if you are are at Maths."
    - Unknown

  • @flatearthasmr9034
    @flatearthasmr9034 5 ปีที่แล้ว

    Pi has been critisized about its acuracy. Some mathematicians wrote books to proposed their own alternative figures. As to me, it's 3.17157.

    • @jacksummer4041
      @jacksummer4041 4 ปีที่แล้ว

      So pi is finite for you?
      Sorry if I sounded rude

  • @caribaez5711
    @caribaez5711 6 ปีที่แล้ว +5

    I need help. I am a nursing major but I feel like my heart hurts so much. Something in me telling I don’t want to be a nurse and I don’t want to persist to go to nursing school. I want to be a scientist. I’m not sure but this is bothering me a lot. I really want to be a scientist and go to further science study.

    • @destinyovbiebo8988
      @destinyovbiebo8988 6 ปีที่แล้ว

      Cari u can do it; it's not too late.

    • @coachhungry3103
      @coachhungry3103 6 ปีที่แล้ว

      Look for a field that marries both science and nursing. Or, create your own opportunity. I wish you luck and happiness.

    • @byakugan422
      @byakugan422 5 ปีที่แล้ว

      Doesn’t nursing involve a lot of biology? It’s an applied field, and honestly one of the best degrees you can take imo. If you wanted to pursue further studies, you could. There’s nothing that restricts you from going further into science with a nursing degree. If you brought yourself up with a few qualifications/projects/internships/classes for another specialization, you could pursue graduate studies in that region.

  • @MOARMOARMAN
    @MOARMOARMAN 5 ปีที่แล้ว +2

    everyday is awesome!!! I love math so much because you learn it in school lololololololol

  • @sriharsha5036
    @sriharsha5036 7 ปีที่แล้ว +1

    Inspiring

  • @Mahenderry
    @Mahenderry 6 ปีที่แล้ว

    Nice explanation

  • @jaik8316
    @jaik8316 4 ปีที่แล้ว

    So nice of Toby Maguire to show us how math works!

  • @joys5656
    @joys5656 2 ปีที่แล้ว

    This is how maths should have been Introduced to us rather than teaching us syllabus like they do in india...we do ratta of maths problems.

  • @supenboro978
    @supenboro978 6 ปีที่แล้ว

    Nice lectures sir