The Two Questions of Calculus

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  • Опубликовано: 7 июн 2007
  • What is Calculus all about? Check out this video by Thinkwell's Professor Edward Burger to understand the two big questions that Calculus answers.

Комментарии • 83

  • @collingriffin7949
    @collingriffin7949 7 лет назад +15

    I'm really likely the grainy video circa 2007. The good old days.

  • @Ichiboy900
    @Ichiboy900 12 лет назад +5

    "It was so long, by the way, nearly killed me".
    heh heh ;)

  • @febasajanvarghese5797
    @febasajanvarghese5797 11 лет назад +7

    I wish I was this happy about math....

  • @northshore95
    @northshore95 12 лет назад +1

    If only all teachers were this enthusiastic.

  • @ThinkwellVids
    @ThinkwellVids  13 лет назад

    @pyepyo1 This is just a rephrasing of the formula. If D=R*T and you want to solve for rate, you have to isolate R. The way you do that is to divide both sides by T, R*T/T = D/T, the T’s on the side with R divide out to be 1 which leaves you with R=D/T. If you plug in distance and time into this you can easily calculate the rate.

  • @ThinkwellVids
    @ThinkwellVids  14 лет назад

    @MasterJake777 We've got a ton of them for free on our channel right now. You can also take a look at our blog and there are even more there!

  • @WhitePage3
    @WhitePage3 11 лет назад +1

    I actually laughed more watching this video than i did watching dane cook's standup routine, and i learned some calculus. Thank you.

  • @BunnyHanyou
    @BunnyHanyou 13 лет назад +1

    I freakin love you, no seriously I do. I'm taking Calc I next semester and just by watching your videos and looking over my textbook, I'm not so terrified anymore.

  • @vnspn
    @vnspn 14 лет назад +2

    I love this guy's spirit :)

  • @greatveemon
    @greatveemon 13 лет назад

    tbh. this is much really more clearer than me than the ton of pages in a book. plus your energy gave me more excitement.

  • @sarykailany
    @sarykailany 12 лет назад +1

    after i watched your videos in precalculus and calculus you helped me a lot to understand what is going on in calculus books and what my prof is saying and i got (A) IN CALCULUS and im now good in physics thank you very much thinkwell and edward burger .... [ thinkwell = :) + :) ]

  • @konitsacity
    @konitsacity 16 лет назад

    I've just really understood what calculus is about, thank you man!!!

  • @vanessatreacy6774
    @vanessatreacy6774 11 лет назад

    Thank you! Your spirit makes it fun to watch these videos! can you make a video on time travel?

  • @ThinkwellVids
    @ThinkwellVids  13 лет назад +1

    @curlyfryist Thanks! That is the perfect explanation!

  • @Torian242
    @Torian242 11 лет назад

    Excellent!

  • @ThinkwellVids
    @ThinkwellVids  13 лет назад

    @pyepyo1 Not sure what exactly you are asking here, but as long as you have distance and time, you can calculate rate from the D=R*T formula. Glad you enjoy our videos and hope we are able to help you jump ahead!

  • @entrailsgalore
    @entrailsgalore 14 лет назад

    These videos actually did help!

  • @pwj316
    @pwj316 16 лет назад

    ur videos help so much! thanks

  • @algebra2489
    @algebra2489 9 лет назад +1

    AWESOME!

  • @EadieCD
    @EadieCD 12 лет назад +1

    He stares into your soul at 8:44

  • @IsaacC20
    @IsaacC20 14 лет назад

    Now when a Jr. high student understand the basics of calculus, you know this guy is a great teacher!

  • @mjv1992
    @mjv1992 14 лет назад

    Yes, in this case the answer can be found with simple algebra. He used a very simple example. Calculus comes into play when you have a position function (for example I will use y=t^2. y being position and t being time.) Obviously, this has you changing speeds so it would be considerably harder to figure out some algebra to find his speed at say t=20 (if it is even possible at all). Calculus tells us he is going 40 miles / hour at t=20 if position is in miles. I hope you enjoy Calc it is

  • @tonalddrump804
    @tonalddrump804 2 года назад

    So 2000's, love it

  • @ThinkwellVids
    @ThinkwellVids  14 лет назад

    @yondaime5685 Thank you! We love when people recommend our videos!!

  • @zooropa1844
    @zooropa1844 16 лет назад

    nice job!

  • @harakyryx
    @harakyryx 16 лет назад +1

    i love this guy...he's...metal \m/

  • @sirmarkkevin954
    @sirmarkkevin954 6 лет назад

    Now i know how biologists calculated the area of an amoebae. Way to go prof.

  • @audinos4827
    @audinos4827 12 лет назад

    Why didn't I have high school math teachers like this guy? I might have learned something and enjoyed it too.

  • @Realmasterorder
    @Realmasterorder 14 лет назад

    The guy is a natural :)

  • @ThinkwellVids
    @ThinkwellVids  14 лет назад

    @jkid1134 The Calculus in 20 minutes had to be fast since he was teaching so much in so little time.

  • @ThinkwellVids
    @ThinkwellVids  11 лет назад

    An instant is an infinitely small portion of a second. However small a non-zero portion you come up with, an instant is smaller. So, nothing actually happens during an instant, because anything that takes time takes more time than an instant. However, because motion is continuous, the bike is still moving during an instant, even though it can't accomplish anything. So, the bike has a speed it travels during that instant, but the instant is so short that it covers zero distance in an instant.

  • @mjv1992
    @mjv1992 14 лет назад

    the most interesting math class I've taken thus far. :)

  • @jirafee
    @jirafee 16 лет назад

    you are my idol,,keep it up idol!!!you really connect!!keep it up!!your really funny and informative!!

  • @curlyfryist
    @curlyfryist 13 лет назад

    @pyepyo1in simple terms if15= 5*3 then 5=15/3

  • @jiufu
    @jiufu 11 лет назад

    Got dat AP test tomorrow

  • @lordante89
    @lordante89 12 лет назад

    very beneficial

  • @fuzzyballs8726
    @fuzzyballs8726 14 лет назад

    i like this guy =D

  • @anakimnaddred5751
    @anakimnaddred5751 10 лет назад

    Hey i been tol i schmelll tooo? anyway..perhaps a Plank time measurement 10 to the minus 33rd power of magnitude? or the size of a single string as in string theorem..or most flavors of it anyway..

  • @RebornLegacy
    @RebornLegacy 14 лет назад +2

    REALLLLY big tires, you can go any where on them actually
    love the details that are irrelevant to calculus

  • @exploto771
    @exploto771 14 лет назад

    Mrs. Jones I dont know where to write my post!
    So I'm going to write it here.
    Hi Mrs. Jones!

  • @SaftonYT
    @SaftonYT 15 лет назад

    CLOSE THE BLAST DOORS!

  • @pyepyo1
    @pyepyo1 13 лет назад

    @ThinkwellVids so you mean, you get the rate from the question ? correct?
    i'm just a middle school student who want to jump a head a bit.so tyvm.. ur videos are awesome. :D

  • @pyepyo1
    @pyepyo1 13 лет назад

    @curlyfryist awe.sweet. thank for more information.. help a lot XD

  • @juld55
    @juld55 14 лет назад

    That was his average velocity. We're talking about instantaneous velocity. He could have been speeding up or slowing down during the bike ride, so the average velocity is not necessarily his instantaneous velocity at the 20 mile point.

  • @GR1o6180339887498948
    @GR1o6180339887498948 15 лет назад

    Actually I should have said just limits because both derivatives and integrals are limits.

  • @magnetstoo
    @magnetstoo 14 лет назад

    He rode at 20 mph.---5 miles in 15 minutes or 20 miles in 60 minutes.,or 90 minutes = 30 miles,9 minutes = 3 miles, 90x=30,9x=3,x=1/3, x*60=20

  • @estringfellow
    @estringfellow 16 лет назад

    interesting

  • @Ren520
    @Ren520 15 лет назад

    LMAO INSTRUCTING AND FUNNY =D

  • @pyepyo1
    @pyepyo1 13 лет назад

    i don't get the part where you said { D,R,T ; D=R*T ; how do change D=R*T to R=D/T}
    and the last question is ,,, where do u get the Rate from..there is only distance and time... so plz help

  • @xtotal007
    @xtotal007 12 лет назад

    wishing you were my math teacher kind of hard to understant calculus at 15 =/

  • @lafyguy
    @lafyguy 12 лет назад

    they should put a speed limit on how fast he talks, lol
    he make coffee nerves

  • @tynitty516
    @tynitty516 14 лет назад

    @GuyMcpersonLol Calculus is the most Graph heavy math ..........

  • @nifrom1
    @nifrom1 13 лет назад

    thats what she said at 20 seconds

  • @GR1o6180339887498948
    @GR1o6180339887498948 15 лет назад

    Yep, you basically use limits and derivatives to find both answers :)

  • @hman9981
    @hman9981 16 лет назад

    Where are the answers to the two questions???

  • @Unv12sL
    @Unv12sL 11 лет назад

    sounds like nardwuar if he was really really really smart lol. helpful information.

  • @TheRedAzuki
    @TheRedAzuki 12 лет назад

    Is this like first grade math or something? Because this is what I did in school :o

  • @LuckOrLoss
    @LuckOrLoss 15 лет назад

    Once you can find the area of a torus with algebra message me.

  • @ioanekaulia4113
    @ioanekaulia4113 7 лет назад

    wow!

  • @internetdude01
    @internetdude01 15 лет назад

    this comment makes my brain want to melt.

  • @moali505
    @moali505 16 лет назад

    man i wish education was free

  • @franciscoarroyo18
    @franciscoarroyo18 7 лет назад

    Gots fat tires it can go anywhere ! lol

  • @salvadorianroberto
    @salvadorianroberto 15 лет назад

    wow lol

  • @MikeRoePhonicsMusic
    @MikeRoePhonicsMusic 10 лет назад

    Lower voice. Increase microphone's pre-amp gain. Possibly lower caffeine intake.

  • @thedecoy6199
    @thedecoy6199 10 лет назад

    *Torus

  • @willbouret8444
    @willbouret8444 4 года назад

    Where my Millis bros at

  • @anakimnaddred5751
    @anakimnaddred5751 10 лет назад

    No vectors in a instantaneous measurement..and Heisenberg is not so sure bout dit..

  • @deathstramy7272
    @deathstramy7272 Год назад

    I wish teachers had the mentality of teaching and not working through a long series of worksheets and tests

  • @TheRedAzuki
    @TheRedAzuki 12 лет назад

    @TheRedAzuki First grade as in when you arelike 8

  • @FarahALSALEH
    @FarahALSALEH 5 месяцев назад

    This video before 16 year can you imagine that 🙂 we are in 2024 now 🙂

  • @ukidding
    @ukidding 15 лет назад

    a bike rider's speed and size are unrelated

  • @azad8842
    @azad8842 4 года назад +1

    N......

  • @Techlur
    @Techlur 13 лет назад

    Heh, I took the Pre-Calculus course over the summer.
    I'm in AP Calculus BC as junior. Looks good on a resume eh?

  • @jkid1134
    @jkid1134 14 лет назад

    This seems slow now that I watched that other one.

  • @stevematson4808
    @stevematson4808 2 года назад +1

    So Ben Shapiro gave up on politics?

  • @MBacon101
    @MBacon101 16 лет назад

    an ameoba..lol

  • @Aaron-pv8vm
    @Aaron-pv8vm 6 лет назад

    No, you didn't break the law because Rule 124 of the Highway Code relates to motor vehicles and not to bicycles. Even if you went 120 mph it wouldn't have made a difference.

  • @blithium
    @blithium 14 лет назад

    Arithmetic: Everything practical.
    Algebra: How to graph it.
    Geometry: Shapes.
    Calculus: What he said.

  • @taijutsu36
    @taijutsu36 14 лет назад

    way to eat the example

  • @prajnaprajna1923
    @prajnaprajna1923 10 лет назад

    On only (N)
    x^3=[x(x+1)/2]^2 - [(x-1)x/2]^2.
    Defined the function f;
    f(z,x,y)=[z(z+1)/2]^2 - { [[x(x+1)/2]^2+[y(y+1)/2]^2 }.
    So
    f(z-1,x-1,y-1)=[z(z-1)/2]^2 - { [[x(x-1)/2]^2+[y(y-1)/2]^2 }.
    Impossible at same time both
    f(z,x,y) =0 and f(z-1,x-1,y-1)==0.
    If
    z^3=x^3+y^3 or z^n=x^n+y^n.
    ADIEU.

  • @8bit_pineapple
    @8bit_pineapple 17 лет назад

    you are hyper 8O

  • @cooolmandude
    @cooolmandude 14 лет назад +1

    Thumbs up if you are way to young for calculus.