What is Calculus used for? | How to use calculus in real life
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- Опубліковано 4 вер 2024
- 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
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.
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.
@Blue eyed Eurasian Rightt,then they expect us to do it like them.
People in old days understood it pretty good. Something is wrong with post modern man's brain
No they don't. Many students just don't listen in class.
They wonder why 20% success rate. Teacher doesn’t explain actual fundamentals and then rules. They go straight to rules.
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
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).
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.
@@jay_wright_thats_right you probably never raised a kid to be a scientist. I have -and you ?
I've watched 10+ calculus explainer videos and this is the first one I've come across that actually includes example applications. Thank you!
🧢
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!
Summary of this video: *CALCULUS IS EVERYWHERE*
check how integration used for industrial application
ua-cam.com/video/MWbPPyM4-tM/v-deo.html
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.
Calculus will keep haunting you
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
what type of engineer are you, a rocket scientist?
@@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 :)
@@j4dy wonder why you don't have to understand? Serious, curious question and would appreciate it if you did reply. Thanks in advance.
@@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.
@@j4dy wow nicely said! I'll take note of this, gotta do well in college tho sadly :')
Thanks for showing how versatile calculus is and how it works. This is brilliant!
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
Couldn't agree more
finally the first well spoken english video about calculus in real life
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.
thanks for the feedback , much appreciated. I will make sure to slow down the next videos, kind regards, Lisa
Thanks for your feedback, I really appreciate it. I will take your feedback on board for my new videos. best wishes, Lisa
Thanks for great feedback, appreciate it I do. I will be sure to incorporate your feedback in my new videos. sincerely yours, Lisa
for now simply use the slow speed option in YT
Thanks for great feedback, appreciate it I do. I will be sure to incorporate your feedback in my new videos. Sincerely yours, Lisa
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.
LISA- you are brilliant! Most videos I accelerate for convenience. This is the first video I've actually had to decelerate.
Kyle Bustos Hahahaha thanks for the laughs :-)
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!
I am completely mind blowned.
wow - finally some great examples of the actual use of calculus !!! thank you
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.
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
You're just excited. As u grow up calculus will get harder and harder . So be prepared to be screwed 😂
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 ..
its not hard, its just regular study...and you cant skip steps/building blocks. Stay patient, you can learn anything
It’s just combining multiplication, addition, subtraction and division in different ways.
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!
thank you Lisa for putting in so much effort into making this video. Helped me a lot :)
Calculus is the heart of Gradient Descent, an algorithm used to optimize Deep Learning parameters during training. Current AI technology, ChatGPT, Google translate, facial recognition are just a few examples of why Calculus is so cool
I think its cool that calculus is used for so many things that are important, like calculating the weather 1:17
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.
The video I have been looking forward for so long ...... thanks a lot!!
Great video. Please make more videos showing the application of maths in real life.
Akshay A thanks so much, stay tuned more real life maths videos are coming soon :)
Growing up is realizing that you weren’t a bad student but you just had teachers who were bad at teaching and explaining core concepts. 😅
Terrific Video on the use of calculus
Good job. Well down . Keep it up 😃
check how integration can be used for industrial application
ua-cam.com/video/MWbPPyM4-tM/v-deo.html
Awesome video Lisa, calculas really have a lot of use in real life. Thanks👌
Great explaination love you, god bless you
One of the best videos on internet about calculus.
Thanks you so much lisa, i can undestand it a little bit, i hope i can understand it more 😊
Amirul Rasyid thank you I'm so glad you liked it 😊
This is one of the best videos I must say I have seen on internet in quite sometimes !! bravo good going
Great video and explanations.
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!
wow, i liked the awesome drawings and the explanation! also the way how you say tumour :D
Sooooo.. easy explanation. Hope my teachers taught this way in schools😭. Thank You for such a crystal clear explanation❤.
Thank you very much for your video and for your time, all the content was so clear.😊😊😊
We use algebra and arithmetic for where we started. We use calculus for how it's going.
Awesome.... Great explanation... Loved it.
Wow! You are so amazing. I can't believe I have you as my maths teacher. I am so lucky!
Thank you for the awesome explanation. It helped me a lot.☺
Mind Blowing!!! Thanks!
To whomever is the creator of this UA-cam channel THANK YOU..
your channel is so underrated
Because it's about maths and math is boring
This is a superb video on real world uses of calculus.
Excelente explicacion v instantanea
So informative! Thanks a lot.
Conclusion of watching the whole video:-
I cannot understand what calculas is
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.
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 😊.
I love math and physics
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.
Soldier? Are you still alive?
@@alcejaylos.4257 yee, thought I already posted I passed, worry
@@themetalmetroid proud of you, soldier.
@@themetalmetroid :0
Instantaneous rate of change?! Grant would have a field day. Great video btw
Now I want to learn calculus early.
No its miserable and infuriating
@@sarankannan6871 but very useful
I loved all this in Calc one, but calc two seems stupid complicated for no reason. Next year I'll take an engineering calc, but I can't get into general calc 2.
Interesting how calculus is its own kind of math, like a different language so to speak
"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.
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.
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.
When x -> 0 then yes instant is instant
@@oslier3633
Nope, x->0 is never ever x=0
3blue1brown has a good video on this topic, take a look if you are curious
ua-cam.com/video/9vKqVkMQHKk/v-deo.html
@@oslier3633 That's exactly right Oslier, the length of the secant/tangent approaches zero to become a point
Ya; but besides that!
If I'd had teachers in my classroom who sounded like this lady; I'd sat front & center!
Calculus basically sums up about the formative years back in high school in terms of advance math.
Ma'am can you explain how you make such a beautiful videos
You gotta slow waaaayyyyyy down for me to believe any of this.
Thank you. I still don't understand exactly how it all works but I do understand better why we need it.
This was VERY helpful!!! Thank you for making it....
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
WOW! i almost forgot u were my math teacher :)
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
very well done thank you
Thanks Zack! :-) regards, Lisa
Your talents in presentation is one of the best of a subject. Can you do one on statistics?
Nice video for my high school learners
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.
Very nice video...your videos are so clean, beautiful...can you share how you make your videos..thank you
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.
Excellent content! The background music, however, is a little loud; sometimes it gets in the way.
nice video..Thanks.
Great explanation and graphics
Loved this Ms. Lisa 😍😍🔥
I'm glad you did Sivanesh :) Thank you
The music is distracting, I kept thinking about the change in note intervals
So in the medical example, the doctor assumed the tumor growth would be based on e?
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.
Tanx alot mis 😊
POW POW company is one of the best companies out there! :D
Rule of thumb change to 0.95 speed, therefore one can maximise comprehension level and accumulative knowledge without clicking back and dosing off :)
Beautifully explained....
Thank you for the video maam Lisa. May I know how the company came up with the equation 100x - 1/2x^2?
Great Lisa!
Please make vedio about this topic
I totally love this video and content as well. I am so interested in how to make this animation.
I can also describe the rate of change in momentum(p)
Simply as pv/t. Also I can get the same answers without using calculus then why do I need calculus here?
Thank you.😀
Thank you
Background music is so irritating..🤐but this content is so good🤩
Im a computer science student and i wanna know which part of computer science use calculus.
THANKS FOR YOUR RESPONSE...i MEAN WELL
Very informative. Thank you!
Mam i want to some critical problem of differencial equation related from space and black hole Hawkins radiations
THANK YOU FROM INDIA ❤
Thank you! You are extraordinarily awesome!
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.
thank you so so much!
Hey lisa....can i has more videos plez?
I'm trying to comprehend calculus to understand it and my brain hurts.
Great video!)
excellent video. What drawing program are you using to make this? Thank you in advance :-)
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.
What is the prerequisites of differential and integral calculus? or what math do I need to learn first before tackling calculus
Defenetly algebra. And also analitic geometry (conic sections n stuff) and trig. If you are fluent in these you are basically good to go.