Exponential Growth

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  • Опубликовано: 8 фев 2025

Комментарии • 117

  • @jenniferwang946
    @jenniferwang946 4 года назад +8

    Seven years later, these videos are still useful af.

  • @Bozemanscience1
    @Bozemanscience1  12 лет назад +25

    I have heard that comparison (along with John Green and Alton Brown). I consider all of these compliments. I think they do great work. I met Hank when we were at RUclips headquarters and he is wonderful and he is from Montana. Double thumbs up.

  • @gardenfairy947
    @gardenfairy947 11 лет назад +9

    So glad I found this!! It was difficult to find any videos explaining population growth specifically, so thank you!

  • @Gingerforlifeeee
    @Gingerforlifeeee 4 года назад +3

    Thanks for posting these! I have learned more watching your videos than I have reading my biology book. I take my classes online and let me just say, these have been a true blessing.

  • @Bozemanscience1
    @Bozemanscience1  12 лет назад +2

    Good questions: 1) It is a photographic backdrop. 2) I use the room lights. I tried using studio lighting for awhile but I got awful glare on my glasses. 3) I don't sit very close to the screen and I try to look at the camera rather than the screen. The choice of a black background on my Keynotes also help. Hope that helps.

  • @hopepeterson7781
    @hopepeterson7781 10 лет назад +7

    Thanks SO much Mr. Anderson I was looking for a video to explain exactly this is preparation for the AP test tomorrow

  • @zachlantz516
    @zachlantz516 10 лет назад +8

    This really clarified some things I was stuck on for an exam. Great video and great explanation!

  • @MissAngelFaace
    @MissAngelFaace 11 лет назад +1

    Thanks SO much Mr. Anderson! I was looking for a video to explain exactly this in preparation for the AP exam next month!

  • @jeannetteaok9420
    @jeannetteaok9420 4 года назад

    Much appreciated, English being my second language. I now get the meaning the word and this is enough for my comprehension within a sentence. Thank you!

  • @GoodyChild7
    @GoodyChild7 10 лет назад +35

    This was perfect I wish you were my teacher

  • @horizonbrave1533
    @horizonbrave1533 6 лет назад +23

    lol, I love the death animation is the rabbit burtsting into flame.... But how does this relate to the number 'e'?

  • @Bozemanscience1
    @Bozemanscience1  12 лет назад +1

    That is frustrating. It works fine on this end. Please let me know if anyone else is having similar issues.

  • @haleywunderlich2313
    @haleywunderlich2313 11 лет назад +1

    I have my AP biology final tomorrow and I watched about 10 of your videos. I would just like to tell you how incredibly helpful your videos are and how much I wish you were my teacher. Everything makes so much more sense! Thank you :) I think I will do better on my final due to your videos

  • @thebignoob1569
    @thebignoob1569 4 года назад +1

    Your explanations are so clear!

  • @punkifob
    @punkifob 11 лет назад +6

    thank you!!! understood after hours of confusion!

  • @Bozemanscience1
    @Bozemanscience1  12 лет назад

    Hunter. When you fill the spreadsheet down it will change B2 accordingly. For example the next box down will include B3+0.3B3. Since B3 has increased it will increase as well.

  • @mus1307
    @mus1307 8 лет назад

    What a good pedagogical teacher. Thanks for those smart tools you used to explain us !

  • @hovhadovah
    @hovhadovah 9 лет назад +2

    It also helps a lot if you've taken AP Calculus and are familiar with differential equations. It makes things a lot easier in terms of understanding the notation.

  • @lauratomlinson1035
    @lauratomlinson1035 11 лет назад +1

    Ohh Mr. Anderson looking good :D Also I like your videos! (P.s being english, I love your accent!)

  • @1314Fher
    @1314Fher 10 лет назад +5

    Yeeeeees! I need this. Thank you!

  • @shelleywell1
    @shelleywell1 9 лет назад

    THANK YOU MR ANDERSON YOU ARE OUR SCIENCE UNDERSTANDING SHRINE WITHOUT PAIN ,THANK YOU

  • @Ducklingproductions0
    @Ducklingproductions0 12 лет назад

    Biology revision done for the day, watching 10 or so videos! Thanks, these are really helpful!

  • @emmaandersson1730
    @emmaandersson1730 9 лет назад +2

    Thank you soooo soo much!! This has really helped me a lot!! :)

  • @fastertempo
    @fastertempo 11 лет назад

    Thank you so much!
    I have recently struggled very much in a math class that I unfortunately had to drop out of :(
    I needed to learn quickly how to do Exponential Growth for my new math class and you taught me in 10 minutes!
    Thanks,
    Eric

  • @science-bite-size
    @science-bite-size 12 лет назад

    Great video - that part that I could watch. Somewhere around 3:30 the sound gets desynchronized from the video and then sometime later the image goes blurry then sound disappears completely.

  • @human.earthling
    @human.earthling 9 лет назад

    On excel, you can just double click at the bottom right of the cell with the formula and it will automatically "drag" it down as far as the numbers go, instead of having to manually drag it like you do at 5:48

  • @hahaLOLimlaughing
    @hahaLOLimlaughing 12 лет назад

    This is so helpful! no wonder my own ap bio teacher made me watch it for homework... :) It definitely helped me understand

  • @divermike8943
    @divermike8943 5 лет назад

    At least 3 of us have the same question: Where did N0(t)=N0(1+R)^t come from. In your spreadsheet you are using N(t)=Sum(Nn+R*Nn)=Sum[Nn(1+R)] with n=0 to n=t Don't know how to type the Summation Notation here. I checked and iteratively summing Nn(1+R) from n=0 to n=t does give you the same values as N(t)=N(0)*[1=R]^t but I'd like to see the algebra that gets you there. That is how did you get the closed-form solution? Also the solution to the diff equation dN/dt=RN is N(t)=N*e^r(*t ) as Ceilia Jennings mentions below.

  • @martysalas2566
    @martysalas2566 2 года назад

    Very helpful video. I understand the concept after watching this video:)

  • @NeuroCurieux
    @NeuroCurieux 4 года назад

    Super clear and entertaining as always! On my channel I use the example of $$$ increases also using Excel to introduce exponential growth

  • @flaviaoliveira5949
    @flaviaoliveira5949 5 лет назад

    You are a great teacher, thank you.

  • @coolprofcp3814
    @coolprofcp3814 12 лет назад

    Thank you for all the great videos. I have a few general questions but I did not know where would be appropriate to post. So, here they are and I hope you will reply: (1) Is the background a photographic backdrop as it appears in videos or is it a green screen? (2) do you use additional video lighting beyond the room light? (3) how do you avoid computer monitor reflection on your glasses or the blue/green light of the monitor on the face? A picture of the setup would be wonderful. Thanks.

  • @Educationbanglaa
    @Educationbanglaa 3 года назад

    THANK YOU very much . Love from India
    EASILY UNDERSTOOD

  • @silencedidgood
    @silencedidgood 11 лет назад

    You do great work (my daughters will have just missed it) but somehow euler has been left out of the discussion. When you get a chance you should check out the discussion at better explained ...do a web search. Keep it up...perhaps my grand kids will use your stuff.

  • @avani3510
    @avani3510 7 лет назад

    thank you so much i was so confused by this because i missed the day my teacher went over it but i understand it now

  • @bevanlouis5646
    @bevanlouis5646 8 лет назад +4

    you get two different answers when using the two equations provided for exponential growth.............. N.e^(r.t) and N(1+r)^t....which one do we use ????????

  • @MartinaYow
    @MartinaYow 7 лет назад

    Thank you so much!!! I couldn't find anything to help with my kiddo's Ecology homework. Super user friendly.

  • @corradoblondi9792
    @corradoblondi9792 4 года назад

    You're a great teacher!!

  • @Mckreelove
    @Mckreelove 12 лет назад

    My Heroo! thank you so muchh i really wish i could officially meet you and have some bio lessons =D

  • @tshililomulaudzi6571
    @tshililomulaudzi6571 10 месяцев назад

    Wow, thank you, now I am sure of my answers.

  • @frankieroandMCR
    @frankieroandMCR 8 лет назад +1

    better than my university lecturers!

  • @meowmeowkittycatmeowmeow
    @meowmeowkittycatmeowmeow 12 лет назад

    I find your videos incredibly helpful so thank you so much!!! Btw, has anyone told you how much you look like Hank Green (from the vlogbrothers)?

  • @OnepieceSlayer
    @OnepieceSlayer 4 года назад

    Well done!

  • @Dyenosoreusrex
    @Dyenosoreusrex 12 лет назад

    Oh thanks for clearing it up.

  • @tigershell1
    @tigershell1 7 лет назад

    Thanks for the help!

  • @deepthireddyvasi2075
    @deepthireddyvasi2075 10 лет назад

    was a wholesome vid indeed.

  • @nephophile3003
    @nephophile3003 Год назад

    THANK YOU SO MUCH!

  • @twowheelworld
    @twowheelworld 12 лет назад

    Great video, thank you!

  • @youngchase3636
    @youngchase3636 10 лет назад

    BRILLIANT....thanks a lot!

  • @BubblesandCake
    @BubblesandCake 11 лет назад

    You are my hero.

  • @sealion_xo
    @sealion_xo 8 лет назад +1

    Why does using N(t)=N(1+r)^ t, give you different results than if you used N(t)=Nexp^r*t . My professor gave me the latter, and I tried to apply it to the same problems you were doing at the end, but it gave different results.

    • @leticiamartinez9373
      @leticiamartinez9373 8 лет назад +1

      Did you have an answer to your question? I am wondering the same thing?

    • @divermike8943
      @divermike8943 5 лет назад

      Yes Me too. Are these just different exponential models? I know that solve the diff eq. dN/dt=rN yields N(t)=Ne^(r*t). Where does N(t)=N(1+R)^t come from

  • @uniramia4
    @uniramia4 11 лет назад

    great video!

  • @shirlann9899
    @shirlann9899 11 лет назад

    THX, the video was very informative.

  • @1farhinmomtazriana25
    @1farhinmomtazriana25 5 лет назад +1

    Thanks a lot Sir. It was really helpful.

  • @cluelessdevice787
    @cluelessdevice787 11 лет назад +1

    Watching this on my iPhone, right after you talk about the population increasing to 29 the audio stops working...

  • @bouclesbrillantes127
    @bouclesbrillantes127 2 года назад

    Thank you 😊

  • @emilywexler9238
    @emilywexler9238 11 лет назад

    Works fine on my end. Great videos :)

  • @amasian16
    @amasian16 11 лет назад

    This is super helpful! T
    hank you!!

  • @GDonPadlan
    @GDonPadlan 11 лет назад

    Greetings Mr. Millard's H Biology class!

  • @UntilWeGotCaught
    @UntilWeGotCaught 11 лет назад

    Thank you so much! God Bless

  • @ernestturner2415
    @ernestturner2415 11 лет назад

    Can you please make a video on how to solve exponential growth word problems. I just cant understand how to do exponential growth.

  • @DIANA4972
    @DIANA4972 10 лет назад

    thank you, I think I get this now :) FINALLY

  • @davidschwarz2530
    @davidschwarz2530 12 лет назад

    Video and sound work for me ~ David S

  • @nat_han
    @nat_han 7 лет назад +2

    Glad they're only virtual rabbits

  • @AlwaysLoudAA
    @AlwaysLoudAA 11 лет назад

    Hello Mrs.Husinga class!

  • @adiverma4712
    @adiverma4712 6 лет назад

    hello Mr Andersen, why didn't you use formula Nt=N.e^rt ?????

  • @lovelyfrenzy1
    @lovelyfrenzy1 12 лет назад

    How would you find an estimate of just population (N)? Is there a formula for finding (N)?

  • @MrPrabhubct
    @MrPrabhubct 11 лет назад

    Nice. Thanks.

  • @elizabethcrawford9356
    @elizabethcrawford9356 9 лет назад +10

    if there are 3.9 rabbits, wouldn't you round down to 3 since you cannot have .9 of a rabbit?

    • @Mornys
      @Mornys 9 лет назад

      +elizabeth crawford Sure you can have f.e. 3,9 rabbits when one rabbit is carrying and is 90% in term. Also how about Pistorius? =P

    • @hannahshaler2101
      @hannahshaler2101 6 лет назад

      elizabeth crawford you would round to 4

  • @EllyKSaysHi
    @EllyKSaysHi 12 лет назад

    is limits only related to calculus?

  • @uhlicawu
    @uhlicawu 12 лет назад

    totally saw both john green and alton brown! the scientific version! :)

  • @rodgersotokoma8289
    @rodgersotokoma8289 9 лет назад

    Awesome..

  • @lil_lady8403
    @lil_lady8403 9 лет назад

    When you solve a population size over time what do you mean by the power for example you did (1.3)^30 but how did you get (2619.9)?

  • @kimberlykv4313
    @kimberlykv4313 6 лет назад

    How do you determine how many deaths there is?

  • @Galaxy95311
    @Galaxy95311 9 лет назад

    I love u so much thank you

  • @evanshui4653
    @evanshui4653 10 лет назад +1

    Linton sent me here.

  • @markdonaj264
    @markdonaj264 5 лет назад

    Mr Folsom?

  • @simplebio7489
    @simplebio7489 3 года назад

    Super

  • @michaelseanchang
    @michaelseanchang 10 лет назад +45

    Im not okay with killing bunnies, whether virtual or physical. change your ways.

    • @shelleywell1
      @shelleywell1 9 лет назад +3

      +Michael Chang GROW UP , HE SAID ITS VIRTUAL , GET A GRIP

    • @shelleywell1
      @shelleywell1 8 лет назад

      I WILL CALL THE POLICE FOR YOU .IF YOU DID NOT GROW UP.

    • @buda1841
      @buda1841 7 лет назад

      realy????????

    • @buda1841
      @buda1841 7 лет назад

      *Really??????????????????????????????????????????????????????

    • @CrazyGamer-xi8rf
      @CrazyGamer-xi8rf 7 лет назад +2

      Tell that to the Australians

  • @stephenkrus
    @stephenkrus 4 года назад

    Weird... I fully understand this.
    So... the grown rate is nothing but multiplier that increases really fast over time. Hmm... 🤔

  • @Dyenosoreusrex
    @Dyenosoreusrex 12 лет назад

    That doesn't make any sense. The formula was B2+0.3*B2. B2 is 10 so 10+0.3*10 should always be the same answer?

  • @silentbitbeadly8652
    @silentbitbeadly8652 11 лет назад

    Tanks

  • @aumnamahshivaya6086
    @aumnamahshivaya6086 4 года назад

    Tq🙏

  • @mervonium
    @mervonium 12 лет назад

    Reminds me of compound interest

  • @gold_lychee
    @gold_lychee 4 года назад

    omg thank you

  • @casss320
    @casss320 7 лет назад

    Bless you. Please teach my ap bio class.

  • @zoharwolfson8914
    @zoharwolfson8914 8 лет назад

    This helped sooooooo much!! Yay Algebra one.. not really...

    • @sj.shewolf8435
      @sj.shewolf8435 8 лет назад

      Zo Wo I have accelerated algebra 😲😖

  • @iammichelewithonel
    @iammichelewithonel 10 лет назад +4

    They're just virtual rabbits hahahaha

  • @peaceking211
    @peaceking211 5 месяцев назад +1

    "then I want to kill rabbits, don't worry they are just virtual rabbits" -- we see deep into this statement. Don't forget kuru disease and judgements soon to come upon all those who have killed "virtual" rabbits (definition of virtual: almost or nearly as described, but not completely) We see you. We understand you.

  • @fairyqueen4143
    @fairyqueen4143 Год назад

    Wow

  • @xdustymanx
    @xdustymanx 6 лет назад

    why you burn the rabbitssssssssssss???????

  • @troybrinson19
    @troybrinson19 10 лет назад

    Ok sir

  • @xiiixiiih.16
    @xiiixiiih.16 2 года назад

    💡🍎✌️

  • @milaguzc
    @milaguzc 9 лет назад

    he is killing rabbits, this is not okay. I demand a court date for him to go to trial for death of rabbits

  • @agdoombagdoom8540
    @agdoombagdoom8540 3 года назад

    There are just virtual rabbits 😊

  • @xtourmaline
    @xtourmaline 3 года назад

    they’re just virtual rabbits..

  • @carloemanueledoria7648
    @carloemanueledoria7648 6 лет назад

    tseries favorite video

  • @annakaren3228
    @annakaren3228 7 лет назад

    does anyone else think he lowkey looks like Lucifer (aka the devil) (played by Mark Ross Pellegrino) from Supernatural??

  • @norapatriciamejia
    @norapatriciamejia 4 года назад

    🐇 🔥 = 😢

  • @kevinlam1828
    @kevinlam1828 7 лет назад

    roooney