What is Calculus used for? | How to use calculus in real life

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  • čas přidán 18. 01. 2018
  • In this video you will learn what calculus is and how you can apply calculus in everyday life in the real world in the fields of physics, finance (economics) and medicine.
    First you'll learn the difference between integral and differential calculus and then see three real world examples of calculus applied in everyday life.
    #calculus #howtousecalculus #maths
    If you like my videos and would like to support me head over to my patreon page here: / mathswithlisa
    Thank you for your continued support, Lisa

Komentáře • 286

  • @galaxy5am987
    @galaxy5am987 Před 4 lety +209

    The problem is that teachers miss these essential subjects. How easy was this. it saves so much time and confusion. Teachers just jump straight into it with little to no explanation.

    • @latrellagujitas9835
      @latrellagujitas9835 Před 2 lety +11

      I agree. My teacher took her time and explain everything we need to know. Honestly, most of us passed her class with a good mark. I think teachers need to do more explanation when discussing it.

    • @thasleeena9978
      @thasleeena9978 Před rokem +3

      @Blue eyed Eurasian Rightt,then they expect us to do it like them.

    • @armaniwebb4467
      @armaniwebb4467 Před rokem

      People in old days understood it pretty good. Something is wrong with post modern man's brain

    • @Tommy_007
      @Tommy_007 Před 4 měsíci

      No they don't. Many students just don't listen in class.

  • @reason7895
    @reason7895 Před 4 lety +132

    Summary of this video: *CALCULUS IS EVERYWHERE*

    • @mathsmack7515
      @mathsmack7515 Před 4 lety +2

      check how integration used for industrial application
      czcams.com/video/MWbPPyM4-tM/video.html

    • @niwreyentihw1496
      @niwreyentihw1496 Před 2 lety +2

      Yes and here is a literal picture.
      Which to me, I don't understand why this has not ever been a thing in education.
      I mean there is nothing but adults in this comment section. Just think about how kids feel.

    • @villager96
      @villager96 Před rokem +1

      Calculus will keep haunting you

  • @achintyagupta
    @achintyagupta Před 3 lety +34

    I wish I had some resource like this in 2013 when I was struggling with calculus, would have made me appreciate and enjoy it a lot more. Thank you for this!

  • @forrestgoryl1650
    @forrestgoryl1650 Před rokem +14

    I've watched 10+ calculus explainer videos and this is the first one I've come across that actually includes example applications. Thank you!

  • @d0cn0tes
    @d0cn0tes Před 4 lety +52

    I think the problem with education in our schools ( books,teachers,administrators) is that they don't make distinctions between conceptual learners and visual learners. So many great scientist have gone by the way side because they may have been visual learners. Great video

    • @willdavis7254
      @willdavis7254 Před 7 měsíci

      Solve this after you watch the video.
      An object is moving along a line, with time in seconds, and distance in feet. The acceleration of the object at timet is a(t) = -32 feet per second per second. The velocityof the object at t = 0 seconds is v(0) = 80 feet per second. The position of the object at time t = 0 seconds is s(0) = 10 feet. Find the velocity function v(t), and the position function s(t).

    • @jay_wright_thats_right
      @jay_wright_thats_right Před 14 dny

      so create a school that does that. if you haven't worked in the educational system and see how it works then you can't really have an opinion. it's easy for outside people to think and speculate.

    • @d0cn0tes
      @d0cn0tes Před 14 dny

      @@jay_wright_thats_right you probably never raised a kid to be a scientist. I have -and you ?

  • @Timzge
    @Timzge Před 3 lety +8

    finally the first well spoken english video about calculus in real life

  • @SecTechie
    @SecTechie Před 5 lety +60

    Thanks for showing how versatile calculus is and how it works. This is brilliant!

  • @j4dy
    @j4dy Před 2 lety +57

    I'm a "real" engineer but honestly never use any calculus in my profession (someone has already done it and all we do is apply functions..) so I do appreciate your video coz I really had no idea why we had to learn calculus and had never applied it in my whole life :P

    • @AnimeZone247
      @AnimeZone247 Před 2 lety +2

      what type of engineer are you, a rocket scientist?

    • @j4dy
      @j4dy Před 2 lety +16

      @@AnimeZone247 automation /robotics engineer - that kind that designs machines and make ideas work. "Engineers" were known as "applied scientists" about 40 years back - we apply discovered theories - but never have to understand them :)

    • @niwreyentihw1496
      @niwreyentihw1496 Před 2 lety +3

      @@j4dy wonder why you don't have to understand? Serious, curious question and would appreciate it if you did reply. Thanks in advance.

    • @j4dy
      @j4dy Před 2 lety +21

      @@niwreyentihw1496 honestly? we apply formula and functions without knowing how they work, as long as they work. Our job is to make sure that the item we work on works, and not making sure we know why it works - for example, you breath and live, and do that without the necessity to know why and how.

    • @JesseltonGaming
      @JesseltonGaming Před 2 lety +5

      @@j4dy wow nicely said! I'll take note of this, gotta do well in college tho sadly :')

  • @mikeearls126
    @mikeearls126 Před 5 lety +16

    wow - finally some great examples of the actual use of calculus !!! thank you

  • @arknghel9081
    @arknghel9081 Před 5 lety +11

    I am completely mind blowned.

  • @madhureshminoshi4272
    @madhureshminoshi4272 Před 4 lety +7

    thank you Lisa for putting in so much effort into making this video. Helped me a lot :)

  • @siyagowaeyokugqibela463
    @siyagowaeyokugqibela463 Před 2 lety +9

    This video is just amazing. I'm too lazy to comment & often don't but this content deserves acknowledgment. Lisa does a great job at 1)first linking what we are blindly taught in schools to actual real world applications which gives us motivation to understand & actually do our calculus homeworks
    2) she explains such complex things in a simple & concise manner even a dummy like me can understand. Thanks Lisa for such a great vid, God bless

  • @camkiranratna
    @camkiranratna Před 5 lety +6

    The video I have been looking forward for so long ...... thanks a lot!!

  • @kylebustos401
    @kylebustos401 Před 4 lety +8

    LISA- you are brilliant! Most videos I accelerate for convenience. This is the first video I've actually had to decelerate.

    • @MathswithLisa
      @MathswithLisa  Před 4 lety +1

      Kyle Bustos Hahahaha thanks for the laughs :-)

  • @williamdecologero9649
    @williamdecologero9649 Před 2 lety +2

    I've been trying to explain how amazing calculus is to my friend and couldn't explain it well and how many different things it does. THIS!

  • @dp1671
    @dp1671 Před rokem +1

    I subbed and I put on a notification if there are any videos to be released in the future. I really enjoyed this video, thank you. I hope to see more advanced math videos such as this one in the future. More calc or discr math please!

  • @DRW0lfe
    @DRW0lfe Před 5 lety +92

    Awesome video! I showed this to my high school seniors. My only wish is that you would slow down just a little bit - the pacing made it hard for them to follow.

    • @MathswithLisa
      @MathswithLisa  Před 5 lety +21

      thanks for the feedback , much appreciated. I will make sure to slow down the next videos, kind regards, Lisa

    • @MathswithLisa
      @MathswithLisa  Před 5 lety +11

      Thanks for your feedback, I really appreciate it. I will take your feedback on board for my new videos. best wishes, Lisa

    • @rwharrington87
      @rwharrington87 Před 4 lety +7

      Thanks for great feedback, appreciate it I do. I will be sure to incorporate your feedback in my new videos. sincerely yours, Lisa

    • @genericname6669
      @genericname6669 Před 4 lety +8

      for now simply use the slow speed option in YT

    • @subsvids-jg7lb
      @subsvids-jg7lb Před 4 lety +1

      Thanks for great feedback, appreciate it I do. I will be sure to incorporate your feedback in my new videos. Sincerely yours, Lisa

  • @AK_4703
    @AK_4703 Před 4 lety +2

    Awesome video Lisa, calculas really have a lot of use in real life. Thanks👌

  • @jereere8181
    @jereere8181 Před 4 lety +6

    Great explaination love you, god bless you

  • @davindranauth
    @davindranauth Před 4 lety +2

    Mind Blowing!!! Thanks!

  • @amitd1572
    @amitd1572 Před 5 lety +4

    Awesome.... Great explanation... Loved it.

  • @strivingforsuccess88
    @strivingforsuccess88 Před 4 měsíci

    So informative! Thanks a lot.

  • @siddharthsinghroa2496
    @siddharthsinghroa2496 Před 9 měsíci

    This is one of the best videos I must say I have seen on internet in quite sometimes !! bravo good going

  • @Johnged15
    @Johnged15 Před 5 lety +5

    Great video and explanations.

  • @sajidurrahman910
    @sajidurrahman910 Před 5 lety +4

    Thank you for the awesome explanation. It helped me a lot.☺

  • @ihuzaifahmad
    @ihuzaifahmad Před 2 lety

    One of the best videos on internet about calculus.

  • @ojasp.7650
    @ojasp.7650 Před 3 lety +2

    wow, i liked the awesome drawings and the explanation! also the way how you say tumour :D

  • @jesuslimbertclarosclaros8842

    Excelente explicacion v instantanea

  • @User5777_
    @User5777_ Před 8 měsíci +1

    If only teachers spent time explaining real world applications of things like Calculus, Algebra, Trigonometry, Geometry, most students would grasp the concepts faster. I remember sitting in class never grasping algebra because none of it ever made sense. What was the whole purpose of learning these concepts if we never used them or understood or why they are used?
    I feel like if I knew what the purpose of maths were, I would've felt more engaged to learn and grasp the concepts faster than just getting it drilled into my head.

  • @Ibdman2000
    @Ibdman2000 Před 2 lety

    This was VERY helpful!!! Thank you for making it....

  • @amirulrasyid880
    @amirulrasyid880 Před 6 lety +4

    Thanks you so much lisa, i can undestand it a little bit, i hope i can understand it more 😊

    • @MathswithLisa
      @MathswithLisa  Před 6 lety

      Amirul Rasyid thank you I'm so glad you liked it 😊

  • @zjouephoto9723
    @zjouephoto9723 Před 4 lety

    This is a superb video on real world uses of calculus.

  • @edgarbustamante3371
    @edgarbustamante3371 Před 4 lety

    Very informative. Thank you!

  • @cristiansanta4250
    @cristiansanta4250 Před 3 lety +2

    Thank you very much for your video and for your time, all the content was so clear.😊😊😊

  • @jaimindesai7377
    @jaimindesai7377 Před rokem

    Great Lisa!

  • @habajaba9603
    @habajaba9603 Před rokem +5

    Hi Lisa. This was a very informative video to watch. Can you also explain how you formulated the revenue function? It would be great to know the logic behind the expression.

  • @ciancolantuono6982
    @ciancolantuono6982 Před 3 lety

    Wow! You are so amazing. I can't believe I have you as my maths teacher. I am so lucky!

  • @birdsculptures
    @birdsculptures Před 5 lety +1

    Great explanation and graphics

  • @CrashTheComet
    @CrashTheComet Před rokem +1

    If my teachers would have actually given concrete examples of the calculus stuff being applied in the real world, maybe I wouldn't have dropped out of college. I left with the impression that they were just a bunch of eggheads crunching arbitrary numbers for no good reason and failed me because I couldn't have my head in the clouds like them.
    Now I'm a programmer who uses trig and linear algebra quite regularly and is trying to understand calculus. Most videos I've seen don't explain what calculus actually is though. Glad I found this.

  • @nineteen5899
    @nineteen5899 Před rokem

    Beautifully explained....

  • @MathswhizAustralia
    @MathswhizAustralia Před 6 lety +63

    Terrific Video on the use of calculus

    • @mehrdadmohajer3847
      @mehrdadmohajer3847 Před 5 lety

      Good job. Well down . Keep it up 😃

    • @mathsmack7515
      @mathsmack7515 Před 4 lety

      check how integration can be used for industrial application
      czcams.com/video/MWbPPyM4-tM/video.html

  • @sivaneshm8306
    @sivaneshm8306 Před 5 lety +3

    Loved this Ms. Lisa 😍😍🔥

  • @akshaya2580
    @akshaya2580 Před 6 lety +9

    Great video. Please make more videos showing the application of maths in real life.

    • @MathswithLisa
      @MathswithLisa  Před 6 lety

      Akshay A thanks so much, stay tuned more real life maths videos are coming soon :)

  • @halimemermer3163
    @halimemermer3163 Před 3 lety

    Thank you! You are extraordinarily awesome!

  • @okabijo8457
    @okabijo8457 Před 5 lety +4

    Tanx alot mis 😊

  • @dart_ariz604
    @dart_ariz604 Před 8 měsíci

    Sooooo.. easy explanation. Hope my teachers taught this way in schools😭. Thank You for such a crystal clear explanation❤.

  • @h.t.7310
    @h.t.7310 Před 3 lety

    Your talents in presentation is one of the best of a subject. Can you do one on statistics?

  • @zackgeorge9319
    @zackgeorge9319 Před 5 lety +3

    very well done thank you

  • @wisdomseekers85
    @wisdomseekers85 Před 11 měsíci

    To whomever is the creator of this CZcams channel THANK YOU..

  • @Mabelliot
    @Mabelliot Před 3 měsíci

    thank you so so much!

  • @sagaroza7987
    @sagaroza7987 Před 4 lety +1

    Thank you.😀

  • @siragan4369
    @siragan4369 Před 5 lety

    THANKS FOR YOUR RESPONSE...i MEAN WELL

  • @kyawmyohtet4715
    @kyawmyohtet4715 Před 3 lety

    I totally love this video and content as well. I am so interested in how to make this animation.

  • @hsram1985
    @hsram1985 Před 4 lety +1

    nice video..Thanks.

  • @jebmccready7904
    @jebmccready7904 Před 2 lety

    Instantaneous rate of change?! Grant would have a field day. Great video btw

  • @danieldong3946
    @danieldong3946 Před 5 lety +24

    Im in grade 10 pre ib right now but im so excited for calculus. Im so interested i hope i can do better considering everyone ays its hard! wish me luclk

    • @kulkiratsingh7924
      @kulkiratsingh7924 Před 5 lety +9

      You're just excited. As u grow up calculus will get harder and harder . So be prepared to be screwed 😂

    • @prisonmikebeotch2087
      @prisonmikebeotch2087 Před 5 lety

      I am also looking forward to dive in to calculus .. Teaching myslef .. Been a while since high school. Took me 2 days to get through the fractions part .. Eager to get to calculus ..

    • @johnspence8141
      @johnspence8141 Před 5 lety

      its not hard, its just regular study...and you cant skip steps/building blocks. Stay patient, you can learn anything

    • @liamhoward2208
      @liamhoward2208 Před 5 lety

      It’s just combining multiplication, addition, subtraction and division in different ways.

    • @TheMetalhead1311
      @TheMetalhead1311 Před 5 lety

      Calculus is extremely interesting. It is honestly not as hard as others make it seem. Try to understand the theories and basic proofs behind why things are the reason they are and you will grasp it rather easily! Good luck!

  • @keddymudyiratonga
    @keddymudyiratonga Před 4 lety

    Nice video for my high school learners

  • @efaldykeyn8097
    @efaldykeyn8097 Před 9 měsíci +1

    I love math and physics

  • @amarcreative
    @amarcreative Před 5 lety +1

    Thank you

  • @rr1ee163
    @rr1ee163 Před 4 lety

    Calculus basically sums up about the formative years back in high school in terms of advance math.

  • @cameronbrown9424
    @cameronbrown9424 Před 4 lety +5

    I used it to see how much area with a certain number of fence posts I could make for my pigs in Minecraft, but these examples are cool too.

  • @mememememeo
    @mememememeo Před 2 lety

    thanks so much for this

  • @briskyfrisky1737
    @briskyfrisky1737 Před 4 lety +1

    Awesome video about calculus! This is a perfect video for introducing students into calculus and higher math. Keep up the good work. I liked and subscribed.

  • @deepaklodhirajput292
    @deepaklodhirajput292 Před 6 lety +1

    Please make vedio about this topic

  • @garthmartens3899
    @garthmartens3899 Před 7 měsíci

    Thank you. I still don't understand exactly how it all works but I do understand better why we need it.

  • @janitgjay3157
    @janitgjay3157 Před 5 lety +18

    your channel is so underrated

  • @mehrdadmohajer3847
    @mehrdadmohajer3847 Před 5 lety +1

    Hi Lisa. You wanted to know what kind of program can be interessted to follow !! ?🤔. Math is great for Both " understang and applicationn " in daily life. A very important aspect of Math, however, is beyond its own territory & boundaries. But until then use (a+ b) ^2 as one of the answer to your question. I´ d say , try to fill up the gaps among " allready calculated Area´s " which are left behinde as uncovered or incomplete til now. Lots of luck to you 😊.

  • @shimaalcarrim7949
    @shimaalcarrim7949 Před rokem

    Love this channel

  • @bakerkawesa
    @bakerkawesa Před 2 lety

    Very helpful.

  • @justkaila
    @justkaila Před 3 lety +1

    WOW! i almost forgot u were my math teacher :)

  • @sakethsaketh4419
    @sakethsaketh4419 Před 3 lety +3

    could you please tell me how you made these videos i mean softwares and electronics for it
    i too want to make a video like this for explaining engineering domain
    it would be helpful if you suggest me and waiting for your reply

  • @johngabrieldulong7435
    @johngabrieldulong7435 Před 3 lety +1

    Thank you for the video maam Lisa. May I know how the company came up with the equation 100x - 1/2x^2?

  • @curiousthoughts00
    @curiousthoughts00 Před 2 měsíci

    ❤ thanks alot 🙏

  • @jhansirani6997
    @jhansirani6997 Před 4 lety

    Nice teaching

  • @GreatMewtwo
    @GreatMewtwo Před 10 měsíci

    We use algebra and arithmetic for where we started. We use calculus for how it's going.

  • @ghatak3749
    @ghatak3749 Před 3 lety

    THANK YOU FROM INDIA ❤

  • @sushantsingh1207
    @sushantsingh1207 Před 4 lety +34

    Conclusion of watching the whole video:-
    I cannot understand what calculas is

  • @maxiwaxipads
    @maxiwaxipads Před 5 lety +13

    Now I want to learn calculus early.

  • @TheNUTRO247
    @TheNUTRO247 Před 3 lety +2

    Excellent content! The background music, however, is a little loud; sometimes it gets in the way.

  • @bigtimes101
    @bigtimes101 Před 5 lety +3

    excellent video. What drawing program are you using to make this? Thank you in advance :-)

    • @MathswithLisa
      @MathswithLisa  Před 5 lety +2

      Thanks bigtimes101. I used Camtasia to record my screen (screen recording software) as I drew in Photoshop onto my tablet that was connected to my laptop.You could use screenomatic/screencast or any other screen recording software, some of which are free. You would just need a drawing program like corel draw, (there are lots on the market and a lot of them are free) and an inexpensive tablet to get started.

  • @proatgaimz
    @proatgaimz Před 4 lety

    incredible explanation well done! I found the music a little bit too distracting though.

  • @deepaklodhirajput292
    @deepaklodhirajput292 Před 6 lety +1

    Mam i want to some critical problem of differencial equation related from space and black hole Hawkins radiations

  • @veerpalbrar1848
    @veerpalbrar1848 Před 4 lety

    Helpful

  • @aarone1777
    @aarone1777 Před 2 lety +1

    Ya; but besides that!
    If I'd had teachers in my classroom who sounded like this lady; I'd sat front & center!

  • @arvindsinghrathore9197
    @arvindsinghrathore9197 Před 3 lety +1

    Ma'am can you explain how you make such a beautiful videos

  • @davidnevarez-saenz4542
    @davidnevarez-saenz4542 Před 5 lety +2

    Wow

  • @1cagridapatricialouisec.878

    Hello! Do you have a website??

  • @ccs6group4
    @ccs6group4 Před 4 lety +2

    Why does my class not feel and sound as interesting and as understandable as this video. Our teacher just feeds us with multiple equations we don't even know where to f'n use.

  • @esmfamil5086
    @esmfamil5086 Před 4 lety

    Oh so that's why we're learning calculus😯 damn i should've paid more attention in the class😬

  • @tryhardz-mc6089
    @tryhardz-mc6089 Před 5 lety +3

    "instant rate of change" doesn't make sense because in odder for some thing to change it needs time and for something to happen instantly it need no time, it just happens in a time span of 0 seconds.

    • @MathswithLisa
      @MathswithLisa  Před 5 lety +3

      hi thanks for your feedback, much appreciated. Instantaneous rate of change means finding the rate of change at one exact moment in time because as you know the function is constantly changing it's rate of change. We need to know exactly what the rate of change is at any point on the function meaning at any point in time. hope this makes sense, it's a fast video to try and digest.

    • @Hamstermoviespro
      @Hamstermoviespro Před 5 lety +3

      You my friend, have just found out why infinite is so amazing. While it is true that "average rate of change" doesn't exist with a time span of numbers being the same (i.e. t1 = 5, t0 = 5, t1 - t0 = 0), we can simulate it by getting infinitely close to a number.
      This is the fundamental definition of a limit, and its application allows things like "instantaneous rate of change" to be possible! (Hence the definition of a derivative being lim h -> 0 ( f(x+h) - f(x) ) / h )
      We take two x values that are so closely packed together that it produces a result as if we were actually using the value it is approaching, with a very small margin of error. As we make the values move closer and closer together (until the distance between the two values is 0), this margin of error will eventually reach 0. This means that we have reached the number we are trying to approach.

    • @oslier3633
      @oslier3633 Před 5 lety +1

      When x -> 0 then yes instant is instant

    • @kseriousr
      @kseriousr Před 5 lety

      @@oslier3633
      Nope, x->0 is never ever x=0
      3blue1brown has a good video on this topic, take a look if you are curious
      czcams.com/video/9vKqVkMQHKk/video.html

    • @MathswithLisa
      @MathswithLisa  Před 5 lety

      @@oslier3633 That's exactly right Oslier, the length of the secant/tangent approaches zero to become a point

  • @mikey10006
    @mikey10006 Před 5 lety +3

    Hey lisa....can i has more videos plez?

  • @DrCK-mn2tb
    @DrCK-mn2tb Před 5 lety +2

    Very nice video...your videos are so clean, beautiful...can you share how you make your videos..thank you

    • @MathswithLisa
      @MathswithLisa  Před 5 lety

      Thanks Chandrakant. I use a screen recording software called Camtasia with a tablet plugged into my laptop that I draw on inside of photoshop. When I'm drawing, I record using Camtasia.

  • @mathbrotherc
    @mathbrotherc Před 9 měsíci

    Here is a video that uses calculus to find how to best evade an oncoming vehicle: czcams.com/video/qXcmSSO_8Eo/video.html
    This video is from the MathTheWorld youtube channel and according to their intro video, there will be other videos coming out on that channel that uses calculus as well.

  • @camapdien
    @camapdien Před rokem +1

    one thing that confuse me is, how can you create the equation for the scenario you want ? in economics for example, the revenue function is 100x - 1/2x^2, why x is multiply with 100, and why we minus 1/2 square x ? i know this is just example but in real life, I can't create an equation even when I have all the numbers

  • @alcejaylos.4257
    @alcejaylos.4257 Před 3 lety

    7:10 *_is that a ProZD reference?_*

  • @themetalmetroid
    @themetalmetroid Před 5 lety +10

    I gotta be honest, i dont think i'll be able to pass my precalc. I'm def going to follow your guides for help and report back if'n i succeed or not.

  • @sagnikchowdhury9288
    @sagnikchowdhury9288 Před 2 lety

    What do you think the most important subject language or maths?

  • @adamunruh2931
    @adamunruh2931 Před 5 lety +5

    So in the medical example, the doctor assumed the tumor growth would be based on e?

    • @oslier3633
      @oslier3633 Před 5 lety +3

      No, what she showed you was the function, a result of the differential equation that doesn't asume anything, specifically a first order linear differential equation. Now e is also used for computational issues, e^something*X is equal to somethingElse*X but the easier way to solve the equation is by using e due to d/dx of e^x is equal to e^x.

  • @wrjazziel
    @wrjazziel Před 5 měsíci

    POW POW company is one of the best companies out there! :D

  • @wvi-rfa3083
    @wvi-rfa3083 Před 2 lety

    love it