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What is Calculus Used For? | Jeff Heys | TEDxBozeman 

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This talk describes the motivation for developing mathematical models, including models that are developed to avoid ethically difficult experiments. Three different examples from the field of human health are presented.
Jeffrey J. Heys is an assistant professor of chemical engineering at Montana State University. He received his B.S. in chemical engineering in 1996 from Montana State University, and his M.S. and Ph.D. from the University of Colorado at Boulder in 1998 and 2001,respectively. His research area is computational transport and computational fluid dynamics in biological systems with an emphasis on fluid-structure interaction and multiphase flows.
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30 сен 2024

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Комментарии : 748   
@tyloroperson9521
@tyloroperson9521 9 лет назад
Calculus is so useful for engineering, you can't just build an engine with algebra and not know where the heat goes or the pressure on beams in a bridge, but calculus and differential equations do that. I can't predict the weather with algebra or even think about landing on the moon without calculus. You just can't have a modernized world like this without calculus, algebra is just the tool we use to understand it. There's not much real world applications of algebra, but there's a lot of calculus applications.
@alfredcollins2558
@alfredcollins2558 6 лет назад
No real world application for algebra? Do you know about compound interest? Can you figure out Celsius from fahreheit without a c
@fetecini
@fetecini 5 лет назад
Alfred Collins key words are “not much” 😂 Also, kinda insignificant compared to the amount calculus has done for the modern world.
@coreythomas3633
@coreythomas3633 4 года назад
Math is used for everything no matter what it is
@Lucenahin16
@Lucenahin16 3 года назад
Algebra is used in finding equations in Calculus.
@tritium1998
@tritium1998 3 года назад
You can't have calculus without algebra, and you contradicted yourself with the last sentence about that.
@abstractapproach634
@abstractapproach634 8 лет назад
Even if you never need Calculus, the Mathematical Competency, Logic, and Problem Solving Skills gained by it's study are indispensable.
@abrahamanand5739
@abrahamanand5739 Год назад
So true!!
@preciouspets8m396
@preciouspets8m396 Год назад
True❤
@winterrain1947
@winterrain1947 Год назад
what if my future is in writing knitting patterns? Is Calculus going to help me make a 3d model of a human bodice and help me find the proper compression of a stitch for the garment that will be worn by a post-surgical woman who is pregnant? Or do I just take business math?
@Tommy_007
@Tommy_007 7 месяцев назад
Yes, the 7% of students that (put in the work to) gain these skills enjoy them.
@mamuchiplayz9977
@mamuchiplayz9977 Месяц назад
right on! that maturity that you acquire for problem solving is a transferable skill to any other discipline in the corporate world or life itself
@canadianthroneholder
@canadianthroneholder 9 лет назад
better question, what is calculus not used for?
@greenleaph5145
@greenleaph5145 9 лет назад
Human Love
@Gytax0
@Gytax0 9 лет назад
Jesus Gil Might or might not be the case. The biochemical processes that describe the feeling of 'love', the emotional state of 'being in love' might or might not be modelled using calculus.
@Trexusable
@Trexusable 9 лет назад
+Aashish Bharat i mean some people might find calculus or someone doing calculus arousing.....
@johnegbert4786
@johnegbert4786 8 лет назад
+Jesus Gil Baby false If you were a function and I were a derivative, I'll be tangent to your curves The limit for my love for you is like the limit of 1/x as x approaches 0, it doesn't have a limit
@FirstRisingSouI
@FirstRisingSouI 8 лет назад
+Marcus Fenix I was going to ask the same question.
@deathwilldie7741
@deathwilldie7741 10 лет назад
"what is calculus used for?" where do I begin......
@gokuafrica
@gokuafrica 9 лет назад
If you're really interested, you can use some reference books(just Google reference books) or you can see various lectures online on RU-vid and various other sources
@MountMonty
@MountMonty 9 лет назад
Anwesh Mohapatra I think he was making the point that it has almost an unlimited number of applications
@gokuafrica
@gokuafrica 9 лет назад
Monty maybe, I'm not sure either way.
@ricardolara4250
@ricardolara4250 9 лет назад
deathwilldie much like the limit of x^2/x as x approaches infinity, the limit does not exist
@TheRedclaw101
@TheRedclaw101 9 лет назад
***** How? As x gets larger or smaller, x^2/x also gets larger or smaller respectively, and does not approach 0.
@H3000-v7i
@H3000-v7i 8 лет назад
Terrible choice of name for this video!! Makes calculus seem like something boring, only used in some specific areas of science. Calculus is the shit... learning it is like getting an extra set of senses. Humans only see the present and in 3d, calculus makes us able to see past and future, and in endless dimension. We use it to explain everything that is in some kind of motion or change. Which is pretty much everything that exist!!
@astronot1997
@astronot1997 8 лет назад
I use Calculus to find areas of stuff. I use hyperbolic functions to find out how long rope i need to install to the balcony to hang wet clothes without touching the ground.
@JakeShields09
@JakeShields09 8 лет назад
Advanced mathematics possess the key to illumination, and becoming god. Science can only prove material truths. This existence cannot be explained with science (at least not completely) R=>0 is the formula for existence. All monads can be represented by a number between 0 and infinity. 0 represents a mathematical point, and contains all numbers (see the limit of 0) 0 represents photons, ideas, the astral realm of thought, the spirit, and the soul..... god.
@H3000-v7i
@H3000-v7i 8 лет назад
I can say that 0 represent pankdonka... the sentence doesn't mean shit!
@JakeShields09
@JakeShields09 8 лет назад
H3000 These ideas soar right above the heads of low iq materialist empiricists. You simply do not have the brain power required to dissect the formula's that create reality. That's ok, go play some video games, maybe in your next carnation you will be brilliant.
@JakeShields09
@JakeShields09 8 лет назад
H3000 Scientists are materialists. You know nothing of philosophy. I was referring to your IQ. Mine is 160, what's yours?
@pkelly20091
@pkelly20091 6 лет назад
i learned calculus at school to a fairly advanced level, i could score highly on calculus in exams, but i never really got a good feel for practical applications - thanks for this video.
@Jay-fv1hc
@Jay-fv1hc 3 года назад
Me too man. That's not our fault. That's our education system that failed us. They made us number ninjas but left out the important application and why we do it part
@robertokalinovskyy7347
@robertokalinovskyy7347 2 года назад
@@Jay-fv1hc is not the education fault, if you want to apply the knowledge look for your self.
@emperor8716
@emperor8716 Год назад
@@robertokalinovskyy7347 why should i, a non-expert, look for stuff by myself when i paid the university, professionals who know a lot, to teach me?
@georgefarah9214
@georgefarah9214 8 лет назад
if you're an engineer or studying engineering and you still don't find calculus useful, find another thing to do in your life.
@PHOEBEE69
@PHOEBEE69 7 лет назад
George Farah I still don't get why it's useful. I'm doing a businesd degree, and feel like if I understood why it was important I would learn it better. (im an emotional meaningful existential type of learner lol)
@mrroo963
@mrroo963 7 лет назад
I study business as well, and calculus is extremely important in this field (unless you're mainly studying marketing/management etc.) At least in finance and economics we use calculus a lot. It's extremely useful in optimization, equilibrium analysis, profit maximization problems etc. I find myself using it every day
@surajoliver1
@surajoliver1 6 лет назад
I studied 5 semister of maths in engineering which was mostly calculus. I still don't know how to apply it in practice. I don't feel like I'm missing something.
@shankarbhandari4232
@shankarbhandari4232 6 лет назад
Damn i'm an engineer and i dont know the real applications of calculus..do i really need to change my major? Lol..please, instead of telling other people what should they do, just give your ideas if u know any..i mean the real applications
@dressamilk
@dressamilk 6 лет назад
Maybe instead of giving up people could study the subjects of engineering more deeply and finding out why it’s useful. Engineers are curious, if they are not curious then they should find something else to do.
@sastindxa7
@sastindxa7 3 года назад
School system asked me to memorize formulas and I got out with A. Now I'm feeling bad that was not guided into the right way. 😢😢
@johnsacromoni6775
@johnsacromoni6775 3 года назад
If anyone else is also forced to watch this for an assignment, just know that you're not alone and I feel your pain.
@Dana__black
@Dana__black Год назад
My own free will brought me here
@STEAMerBear
@STEAMerBear 11 лет назад
Calculus takes algebraic math to the next higher level of abstraction. It hints and still higher levels. It solves exactly problems that previously could only be approximated. It teaches you how to think about huge and very tiny things--how to mentally zoom in and out of problems. It's a powerful intellectual tool in your technical problem-solving arsenal.
@bilkangbol333
@bilkangbol333 Год назад
Mathematics is a practical guided tool for practical thinkers following scriptures
@STEAMerBear
@STEAMerBear Год назад
@@bilkangbol333 Is mathematics scripture? Is it delivered unto man by God? Great question! It is a language, a tool, a system of thinking and modeling, an abstract construct, perhaps the greatest invention of the human mind AND/OR our greatest discovery. Is it divinely inspired and revealed? Hmm…
@derrickgl
@derrickgl Месяц назад
@@STEAMerBear the whole - world - is divinely inspired, down to the quarks and smaller!
@adlsfreund
@adlsfreund 10 лет назад
"It had to be completely walled off, with a door that would open and close." Most doors open and close. LOL
@yonmoore
@yonmoore Год назад
Having (barely) passed college level calculus 1 & 2, here I am 11 years later still trying to understand what calculus even is, and what it's used for.
@franzpants6655
@franzpants6655 4 месяца назад
Same
@pauloricardosilveira1799
@pauloricardosilveira1799 3 года назад
As a chemist, we use calculus basically for everything. To calculate how fast a reaction could go, to solve Schrodinger's equation and derivate lots of equations that serve kinda like a model to represent some nature's behavior. My mathematicians friends don't like when I say that, but Calculus it's a really strong tool.
@richard21995
@richard21995 8 лет назад
because I thought you were going to show some real useful examples of its everyday use but all you do is state obvious facts
@cgme7076
@cgme7076 6 лет назад
If by "obvious facts" you mean "perfectly applicable uses for Calculus", then YES. These are "obvious" (not really) "facts"
@robbanks1686
@robbanks1686 2 года назад
I’ve been waiting 35 years for this explanation. Thank you !
@anonymoususer5024
@anonymoususer5024 5 лет назад
Seems joining the Army is way better than to take Calculus.
@keshav567
@keshav567 2 года назад
How about both?
@deepak_sharma_z
@deepak_sharma_z 2 года назад
@@keshav567 😂 NDA
@federalfreemoneylackofrese9937
HERE IN MY GARAGE< JUST BOUGHT THIS NEW LAMBORGHINI Can I please watch something on youtube without all these ads?
@Bravo-yj7eu
@Bravo-yj7eu 9 лет назад
Funny you brought that up, but that happened to be the one ad I decided to watch in over a year.
@michaelplaysgames5566
@michaelplaysgames5566 8 лет назад
+Renegade For Life same
@federalfreemoneylackofrese9937
Renegade For Life well if it's motivating
@Dumdumshum
@Dumdumshum 8 лет назад
Adblock
@nickpastorino5370
@nickpastorino5370 7 лет назад
That guy is most likely a con artist so don't fall for his false promises of grandeur.
@georgerosebush9754
@georgerosebush9754 8 лет назад
So it's used for very academic, theoretical applications. It sounds like the work of PhDs, but how is it applied by people who aren't in research fields but had to take it as an undergrad?
@alalize
@alalize 8 лет назад
+George Rosebush Well, mechanics would be a practical example of calculus usage. If you want to model anything, really, you'll need to evaluate the three quantities that are acceleration, velocity and position. You need calculus for that. In particular, all robots and engineered system use such calculations. Sometimes a computer is used to simulate something and for that to be possible, you'll need to give it an algorithm, based on some formulae that were derived using calculus to get your result. Sometimes, at the beginning of the project, you make the calculation by hand and then see if it's actually something doable. Even if you're not building anything concrete like a robot or a wheel or something, you may find yourself fidling with an equation and have to evaluate an integral or a derivative or something. Then, calculus knowledge becomes useful because you'll get the profound result without being stuck by some petty integral. (Cases where you can't evaluate also exist, that's why simulations exist after all.) All of that seems pretty concrete and unacademic to me. ;)
@thelastcipher9135
@thelastcipher9135 8 лет назад
+George Rosebush the speaker was mainly encouraging people who might end up having potential to do quality research and breakthroughs
@jamesworth6507
@jamesworth6507 5 лет назад
Have you taken differential equations yet?
@alalize
@alalize 3 года назад
@Sebastian Hahn Yeah and good luck building that bridge without it.
@alalize
@alalize 3 года назад
@Sebastian Hahn We might be speaking about different meaning of the word. xD
@TBoy205
@TBoy205 8 лет назад
this doesn't say shit
@drtouchtoomuch5898
@drtouchtoomuch5898 8 лет назад
Learn calculus to cure cancer
@igrewold
@igrewold 8 лет назад
Maybe what he said is already known to you but it ain't know to many others.
@fernandolk4536
@fernandolk4536 8 лет назад
Learn infinitesimal calculus also to prove that human stupidity is infinite; so stupid that is not even possible to measure it --except when displayed on youtube comments.
@sup3rk3wlp3rson
@sup3rk3wlp3rson 8 лет назад
Fernando you have it backwards my friend. Its not that stupidity is infinite its that knowledge is infinite. That's a 1/infinity my friend even if you claim to be a billion times smarter then other people your knowledge is still divided by infinity. Which I am sure you know what that equates to.
@trooper8464
@trooper8464 8 лет назад
lol
@vibhorsteele
@vibhorsteele 8 лет назад
Amazing speech. I knew some applications of math and calculus etc being a mechanical engineer, but the possibilities are truly far reaching. I'm really excited to find out more and help fellow people. Everyone should try it and give it a shot.
@tommattson7328
@tommattson7328 9 лет назад
He was an engineering undergrad and he didn't get a satisfactory answer to the question "What is calculus used for?" until grad school? Did he sleep through college or something? :-P
@Hosam8112
@Hosam8112 8 лет назад
probably he wasn't satisfied with the typical text book examples of bacterium growth and carbon dating
@Hosam8112
@Hosam8112 8 лет назад
probably he wasn't satisfied with the typical text book examples of bacterium growth and carbon dating
@tommattson7328
@tommattson7328 8 лет назад
Hussam Ali What about all of the applications of calculus in his engineering courses? You know: dynamics, thermo, circuits...
@rlrsk8r1
@rlrsk8r1 8 лет назад
+Tom Mattson So far, I've only been exposed to algebra in physics and electronics. I've done some very complex stuff without a single derivative or integral. It really speaks to how broken the math departments are when a student can sit in a classroom for years and leave with nothing.
@AlchemistOfNirnroot
@AlchemistOfNirnroot 8 лет назад
+Tom Mattson Differential equations. Absolutely essential for many problems in physics. Quantum mechanics uses differential equations (mainly the Schrodinger Equation). Capacitor discharge equations are solutions of differential equations, same with nuclear decay.
@Moronvideos1940
@Moronvideos1940 8 лет назад
This guy takes too long to get to the point. Calculus is the study of changing motion and accumulated areas under irregular shapes .... I never took calculus but I do know what calculus is about ..........
@mestm5400
@mestm5400 4 месяца назад
iam waitimg him to reach the point but he can't 😂😂😂
@erikanderson9394
@erikanderson9394 9 лет назад
The chemical engineer in me says to just use a vacuum pump to generate a partial vacuum and discharge the smoke removed to the outside of the restaurant. But that kind of defeats the point of the talk :P
@gtalover1233
@gtalover1233 5 лет назад
Erik Anderson A partial vacuum would be near impossible to create in a restaurant, the windows would have to be airtight and the doors would not open due to the pressure differential, and if the doors opened, the vacuum would be terminated.
@jjmcowboy
@jjmcowboy 9 лет назад
I recently completed a math degree... don't ever do a math degree.
@jjmcowboy
@jjmcowboy 8 лет назад
+Joe McDicksmack does your diploma say Joe McDicksmack?
@crunkdwscrew
@crunkdwscrew 8 лет назад
But why?
@andersalexanderandersen5022
@andersalexanderandersen5022 8 лет назад
+John Gray Why not?
@jtlbb2
@jtlbb2 8 лет назад
Probably because there's not a lot you can do with just a pure math degree. Math is essential to things like engineering, the physical sciences, programming etc. but by itself, the only thing you can really do is teach.
@andersalexanderandersen5022
@andersalexanderandersen5022 8 лет назад
+jtlbb2 He never specified witch area of mathematics. If it is a degree in applied mathematics, he could for example become an economist, or something else dealing with calculations. But if he has a degree in pure mathematics, it may be necessary to get a Ph.D and work with research in academia. I still think it's harsh to advice random people to never get a maths degree.
@RoadKillGrover
@RoadKillGrover 12 лет назад
Wow! I'm just as disinterested in continuing to Calc. after Trig. as I was before I watched this video.
@amandarsmith2010
@amandarsmith2010 3 года назад
Did you ever wind up taking calculus?
@webgpu
@webgpu 8 лет назад
What is Calculus Used For? (at this point you sit watching the video hoping to learn some practical day-to-day uses for it and all you see is what you already know they are used for: niche applications)
@Yassir.A.P.
@Yassir.A.P. 3 года назад
Well, those niche applications are the ones behind our modern day-to-day life. We got better car engines because of it, more efficient fuel combustion, etc. So, you can just oversimplify the answer it with: to design airplane, design cars, etc
@wtfwtf89
@wtfwtf89 9 лет назад
What is Calculus Used For? Sleeping.
@payalsharma4662
@payalsharma4662 3 года назад
😆😆😆
@a_little_bit_of_wisdom
@a_little_bit_of_wisdom 9 лет назад
It's true that manipulated equations are a useful outcome of learning calculus. But calculus contains basic concepts to help explain how the world works. Students can learn equations, but not the concepts. An interesting example of calculus not understood concerns 9/11 doubters, who include students who've taken calculus. After learning trade tower structural members melt at temperatures higher than burning jet fuel presents, they suppose a nefarious heat source was introduced. Only then did structures melt and buildings collapse. Calculus explains why this wasn't the case. Key structural supports failed due to rate of weakeness change, and its second derivative (in calculus-speak.) Planes hit 1/4 kilometer high. Supports heated, weakened. Non-structural top floors collapsed. Structural member stress increased. That stress surge initiated collapse. Stress cascaded down, accelerating lower floor weakening. The derivative of the rate of weakening surpassed well-defined structural integrity threshold. Its second derivative led to immediate failure. Calculus maps how change rates, not absolute values, can cause events. It shouldn't be over-sold. Fourier transforms, cellular autonoma, probability, topology, and neural networks may arguably be used more than traditional calculus, in academia, industry, and government.
@NavyDave219
@NavyDave219 8 лет назад
+Brian Coyle Can it explain building 7? lol
@georgerosebush9754
@georgerosebush9754 8 лет назад
Can it explain how the planes didn't crumble on impact?
@shreyastambat1813
@shreyastambat1813 8 лет назад
Basically calculus seem to say us how change in input becomes the reason and validates the results of outcomes.
@jjmckenna2655
@jjmckenna2655 7 лет назад
+Brian Coyle. Is all that stuff you said at the bottom not derived from calculus or at least makes use of some of it?
@SogMosee
@SogMosee 7 лет назад
What sort of life did you live to get to this point Brian... to be able to write so eloquently and explain complex topics in that way... incredible...
@fungiuse
@fungiuse 10 лет назад
without calculus, we wouldn't have gone to the moon !!
@Vaibik
@Vaibik 10 лет назад
Have we?
@fungiuse
@fungiuse 10 лет назад
You and I --we haven't..... but the astronauts have!
@Vaibik
@Vaibik 10 лет назад
Oh yea, right!
@ASWAJA2023
@ASWAJA2023 7 лет назад
no single astronaut has ever landed on moon!
@BudderB0y2222
@BudderB0y2222 5 лет назад
@@ASWAJA2023 You're right, it was the rocket
@ElenaKomleva
@ElenaKomleva 5 лет назад
Why does he think there would be no volunteers for insertion of tiny needles to measure pressure and other variables in the eye, I am sure prisoners on death row or even those with long sentences would gladly volunteer in exchange for reconsideration of their sentence! Enough of them at least to reliably conduct the experiment and get the measurements.
@ericchristine1819
@ericchristine1819 4 года назад
I truly appreciate the comments that show the usefulness of calculus. Studying this stuff made me wonder whether or not life involves differentiation, integration, optimization, etc., and without even watching the video I already see the importance of learning these complex concepts; thx strangers
@nawaryoussef
@nawaryoussef 11 лет назад
I didn't like math in general, but when I took "Calculus I" I started really enjoying studying it and I felt like I am challenging myself like in paper-game. I am taking "Calculus II" and I don't need Calculus III for my degree but I will take it later when I have a free time.
@briankelly8697
@briankelly8697 7 лет назад
I have heard of a story of a young woman at a dinner with many famous people; she wound up sat next to Einstein, although she didn't know who he was, she asked what he did and he said he was a student of physics and this was after the creation of the atom bomb; I don't know how she couldn't have known him then, the story is prolly B S but when I was a student of Calculus my twin daughters were born and I used half- life decay expectations and weight gain expectations for that age to predict their weight gain while they were premies in the prenatal I C U and it wound up being quite accurate
@kumaraveldevarajan3581
@kumaraveldevarajan3581 5 лет назад
Still can't get how exactly calculus is used in these predictons
@Jma952
@Jma952 9 лет назад
All I heard was "bullshit bullshit don't be a math major unless you're going to get a phd or be an engineer bullshit bullshit"
@michaelplaysgames5566
@michaelplaysgames5566 8 лет назад
then you didn't listen
@lambusaab
@lambusaab 8 лет назад
I didn't really appreciate calculus. wish I had.
@fernandogallardo3477
@fernandogallardo3477 10 лет назад
When I think of models, Calculus is needed because most of our world is modeled by differential equations, and partial differential equations. That's what I think.
@toolhog10
@toolhog10 10 лет назад
Yes. I recently finished differetial equations and linear algebra. All of the previous couple years of math sorta fell into place during that semester.
@fernandogallardo3477
@fernandogallardo3477 10 лет назад
Yea, so far I'll be taking intro to Linear Algebra and Diff. Eqns. From the looks of it, it seems more abstract, and in one of the videos, whose topic was vector space, left me mind blown. When I hear the term Vector, I see arrows, but it turns it is defined differently in linear algebra.
@toolhog10
@toolhog10 10 лет назад
Fernando Gallardo Is that a combined Diff Eq and Linear algebra semester? I know some schools do that. I had a semester of each separately. Personally i think both of the courses are easier to understand at first than Calc 1,2,3. Linear Algebra is pretty cool. It will be a challenge to "see" the arrows in n-dimensional space where n>3. lol Have fun.
@fernandogallardo3477
@fernandogallardo3477 10 лет назад
yes, it is a combined course, although I've been researching what math is transferable in specific U.C.'s, and they only accept Linear Algebra, or the Differential Equation, but not both.
@toolhog10
@toolhog10 10 лет назад
ah, yeah the requirements for the mechanical engineering program at my place, University of Michigan, are Calc 1,2,3 - Linear Algebra, and Diff Eq. All separate, 5 semesters.
@BingtheLizard
@BingtheLizard 6 лет назад
Oh cool, I did my Masters of Engineering research on developing a simulation of tissue thermal damage and thermally induced stresses during radio-frequency thermally ablative procedures. Pretty much the last topic he discussed as he finished.
@AAron-jj7zx
@AAron-jj7zx 5 месяцев назад
Did that research begin with a hotdog in a microwave?
@EricSanchez-qs3bi
@EricSanchez-qs3bi 10 месяцев назад
Cualulus expert along astronomy along with a nursing professional along with a computer programer what can we get
@soldirix2666
@soldirix2666 9 лет назад
It can also be used to calculate light reflections on a 3d object, using partial derivatives, cross products and dot products, in a computer simulation or a video game. It can also be used to determine how much material is used to craft an object, using integrals, so that way companies do not have to spend extra money on extra material that they do not need.
@gukonni
@gukonni 10 лет назад
This is how I "get" math. Lets say you want a way to add up all the numbers after 0 ye preceding something like, say, 5. So you want to add up 1 and 2 and 3 and 4. Previous to computers, without an easy formula, you'd have to add them up yourself. However, there's a summation equation to answer this question: n(n+1)/2. It's simple and elegant to get an answer for enormous numbers. If one had not the availability of this equation, one would have to sit and wiat as a computer slogs through all of the sums to give you a result. Put to the task, it'd likely store answers up to X in a ROM chip to save time. (something similar happens in fact when we want to know prime numbers - but they're easy to compute) Broadly the summing up of the whole process above is what math is to me. Any problem, pick one! It resembles the one above. We need to do something, but our answer is poor and slow. Math comes to the rescue and gives us a relatively sleek formula and suddenly we're applauding and jumping up and down like kids wiht big smiles on our face! The ultimate goal is a sleek simple formula which stands as a testament to the power of math! Like a Marilyn Monroe of the beauty queens
@sheshankjoshi
@sheshankjoshi 11 лет назад
Caculus is a walk on Cake, if you know what is meant by a function, and what is meant by continuity - not in mathematics but in Real life, every where around us. The problem is that Human brain can only speculate Discretely, at some intervals, while the Nature never provides such facility for us. Dealing continuity in terms of Discrete human thought, assuming the interval between discrete knowledge of something to infinitely small, makes it continuous. That's calculus
@jasonli7612
@jasonli7612 3 года назад
Nice explanation
@rustytrax4294
@rustytrax4294 2 года назад
How do we model something without sample data from experiments for comparison? If the experiments are unethical and expensive, then how do we even start?
@lorenbooker9486
@lorenbooker9486 10 лет назад
Seriously? Nothing about Newton or The Solar System or Universe?
@Wazoo4880
@Wazoo4880 10 лет назад
Actually Newton cofounded Calculus, so...
@glssmrbl
@glssmrbl 9 лет назад
I would argue harping on who invented calculus tells us nothing about calculus. It just impresses people. Getting to the heart of understanding is important for perspective. Something none of us can get from seeing how and why Newton did things.
@toolhog10
@toolhog10 9 лет назад
glssmrbl Find a english translation of Newton's Principia and try and follow his proofs. It's all done with geometry. Pretty amazing. There is a version with Notes and illustrations by Percival Frost from somewhere around 1870; that is good too.
@tejaswi_5095
@tejaswi_5095 3 года назад
Nerds who are watching will surely show off in the comments meanwhile people who dont know anyhting but watch the video and actually take it into real life. :D
@nadiarizkys
@nadiarizkys 7 лет назад
but without solving calculus equations, i can predict the future that i'm going to blow up the calculus exam tomorrow
@lovefrombooks7
@lovefrombooks7 9 лет назад
I'll taking AP calc the next two years, and I'm super excited. I love math, and I've already learned a little calc, but to get classes from the amazing teacher that my school has... I'm really, really looking forward to that.
@Bravo-yj7eu
@Bravo-yj7eu 9 лет назад
More power to you. Going into engineering?
@lovefrombooks7
@lovefrombooks7 9 лет назад
+Renegade For Life yep! Going into computer engineering. And, by the way, I'm absolutely loving my AP Calc and AP CompSci classes this year. I can't wait to be doing these things full time. :)
@SogMosee
@SogMosee 7 лет назад
Have you started computer engineering yet? I plan to start computer and electrical engineering in one year.
@lovefrombooks7
@lovefrombooks7 7 лет назад
SogMosee I start University in the fall! I'm going for a dual degree in mathematics and computer engineering. I signed up for my classes Wednesday. I'm super excited.
@SogMosee
@SogMosee 7 лет назад
That is awesome man! So sort of programming do you do now?
@offthewall5512
@offthewall5512 11 лет назад
I appreciated all the examples. Wish my prof. back 55 years ago had taken the trouble to give even just 1 example where calculus could help.
@Justme-xp4rf
@Justme-xp4rf 3 месяца назад
Calculus is just a way for humans to partially calculate without knowing all the facts.
@mcwerts1
@mcwerts1 2 года назад
Did he actually say anything of substance? Doesn't seem like it to me.
@CountingSuns
@CountingSuns 9 лет назад
Every science is just applied mathematics. So that means learning the abstract format of mathematics would not only be the most efficient form but it would also allow for immense versatility -- an attribute characteristic of a polymath, or the ideal human being.
@blownspeakersss
@blownspeakersss 8 лет назад
+Kason Durham Biology as applied mathematics? Not sure I agree. Economics or physics though are both essentially applied mathematics.
@CountingSuns
@CountingSuns 8 лет назад
+blownspeakersss biology is absolutely applied mathematics; just on a broader scale. You don't use equations as often but thats not where the thinking is being done anyways is it? genetic engineering, mutations, complex systems they are formalized and analyzed through the basic principles of mathematics
@blownspeakersss
@blownspeakersss 8 лет назад
Kason Durham To me, what you're referring to is bioengineering -- which is not the same as biology. I would imagine one could become an evolutionary biologist, or a zoologist, for example, without learning much calculus or advanced mathematics. But yes, genetics, biomedical engineering, bioengineering, etc. all rely heavily on mathematics.
@CountingSuns
@CountingSuns 8 лет назад
+blownspeakersss thats a fair point, my rebuttal would go along the lines of those fields being the product of simple math (mathematics nonetheless) but that would be off topic considering this is a calculus video
@AlchemistOfNirnroot
@AlchemistOfNirnroot 8 лет назад
+Kason Durham Physics is not "applied maths". Physics uses maths as a language to describe the universe. There's more to physics than equations and abstract maths.
@Swiftclaw123
@Swiftclaw123 10 лет назад
Could you explain more about the equations used to perform these experiments?
@ArtisanTony
@ArtisanTony 6 лет назад
math guys are always positing their usefulness in society
@moiquiregardevideo
@moiquiregardevideo 7 лет назад
Calculus is used for complicated curves. The simplest example is a car which accelerate from 0 to 60 mph in 12 seconds. What is the speed at 4 second or 9 seconds. What is the distance covered by the car after 4, 9 or 12 seconds Once the car run at constant speed, it is easy. It covers 60 miles every hours. But during acceleration and break, calculus find simple equations. Consider statistics : a bacteria invade your body and multiply every hour. So, 2 bacteris at 1 o clock, 4 at 2, 8 at 3, etc. The number of bacteria is 2^hours, the constant 2 elevated to the power of the number of hours elapsed. Now, the immune system declare war to the invader. A section of the genetic code is made of codon which are mixed randomly, affecting the efficiency to recognize invaders. The best tagger win the right to rest and multiply as fast as possible. Those clones are all efficient taggers. When does the immune system catch up with the invader? These are two curve raising exponentially. What if another strain of bacteria take 48 minutes to double their number? How long it will take to the adaptative portion of the immune system to make enough of these antigene? Calculus concentrate a lot on "complex numbers" with one axe representing the square root of negative one. This strange definition actually represent cyclic event, oscillation which repeat. The fourier analysis tell us that any complex wave is made of many sinusoidal wave. The related Taylor series tell software engineer how to write equations to compute logarithm, sinus and the invert sinus and many other functions. Instead of using sliding rulers or hundreds of pages in table giving the answer for the most important values, the series allow a machine to compute those functions. Calculus goes even farther by predicting the amount of error that is expected depending on the equation selected.
@bryonfeliksa3845
@bryonfeliksa3845 3 года назад
So calculus is for mathematical modeling
@lazykiller2306
@lazykiller2306 6 лет назад
Summary: Mathematical Modelling
@PTPTgood4ugood4Me
@PTPTgood4ugood4Me 7 лет назад
Two minutes in & I'm supposed to know and apply calculus to learn how far I should sit from a cigarette smoke filled while I'm eating. Why do they let autists explain things? THUMBS DOWN!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
@napoleon_bonaparte2462
@napoleon_bonaparte2462 8 лет назад
Sounds like computer modeling is the real important part.
@alalize
@alalize 8 лет назад
+Bloodmoon And what's that based on according to you ?
@johngutierrez8399
@johngutierrez8399 Год назад
*Calculus is for Conspiracy Theorists*
@craigyoung1636
@craigyoung1636 11 лет назад
Well done, sir. There are thousands of uses, Science and engineering would b e set back immeasurably without it. Love you
@david19042002
@david19042002 3 года назад
Still dont know what it's used for
@sccm100
@sccm100 7 лет назад
I'm so excited to start calculus next semester
@sccm100
@sccm100 3 года назад
@@parthbhatt8762 yea I went up to calc two which was how much I needed for my chem major
@martinibarra9101
@martinibarra9101 9 лет назад
i will learn calculus right now!
@martinibarra9101
@martinibarra9101 9 лет назад
Martin Ibarra oh its to hard, maybe tomorrow
@movement2contact
@movement2contact 9 лет назад
+Martin Ibarra how's your PhD coming...?
@morganhatch1513
@morganhatch1513 8 лет назад
+Martin Ibarra lol calcs not that hard. takes some time to get around why you do all the differentiation/integration but after that its just how can you use this knowledge?
@kyrieirvingsstudent6331
@kyrieirvingsstudent6331 7 лет назад
YESTERDAY YOU SAID TOMORROW. JUST DO IT! DON'T LET YOUR DREAMS BE DREAMS.
@eduardorivera508
@eduardorivera508 6 лет назад
Get to Stokes' Theorem yet?
@YsnipezYMw2
@YsnipezYMw2 10 лет назад
predicting the weather over the course of years is impossible
@mrs_radrod
@mrs_radrod 10 лет назад
predicting it is one thing. getting it right is an entirely different subject, and if that subject happens to fall into the probability category it also uses calculus
@ashleyashleym2969
@ashleyashleym2969 10 лет назад
only because we weather depends a lot of things
@GreenestGanja2
@GreenestGanja2 10 лет назад
Not necessarily... For example, we know that the moon controls the tides; So if the moon is closest to the earth, we know that the tides will be at their highest. I'm sure these kinds of facets along with calculation testing can improve weather predictions.
@mrs_radrod
@mrs_radrod 10 лет назад
Write the differential Equation then. Take every factor into account. I promise your model will be unsolvable after 5-10 days, that is if you do find the solution to your differential, which probably isnt possible.
@GreenestGanja2
@GreenestGanja2 10 лет назад
Christian Gotsch I'm not in the field, I'm just telling you that it can be done. This is exactly how we have early warning systems for tornado's and tsunamis. If you think that weather prediction is somehow a myth, then you've somehow been living under a rock. It's not a question of can we; it's a question of how far ahead can we predict.
@pottedplant7343
@pottedplant7343 6 лет назад
Ngl I passed math and I’ve forgot nearly everything I learnt in my final year of school
@blueboy2589
@blueboy2589 6 лет назад
I hated maths at school but as I was interested in practical Engineering, I took a 4 year industry apprenticeship. With day release I had to study for the ONC and HNC and maths is a big part of mechanical engineering. I would say that when you can see how it is applied to real problems, you can learn it much faster. I ended up with my own consulting business and projects included teaching industrial statistics at a major Australian University.
@harrymallory7963
@harrymallory7963 7 лет назад
This was one of the reasons why mathematics seemed so daunting: Much of it was so abstract for me, I had no idea why stuff like algebra and calculus even existed. Only now am I getting why this stuff is important. Of course, it didnt help that I could never pay attention to anything beyond what I was interested in at the moment.
@jhwilson00
@jhwilson00 Год назад
My son is taking calculus. I think it is just as important to teach why we use calculus as much as the math itself.
@spicyboy3758
@spicyboy3758 10 лет назад
I always asked that question, but never got a good answer.
@Meatguy101
@Meatguy101 8 лет назад
When he speaks about the smoking room, i gave a small laugh to myself then said to myself, why da fuk would'nt you just take the table farthest away....
@gauravmhaske1013
@gauravmhaske1013 4 года назад
But how to do that all
@Heatstreak86
@Heatstreak86 10 лет назад
I wish i saw this like 3 years ago -_-
@ashleyashleym2969
@ashleyashleym2969 10 лет назад
u couldnt figure it out for urself?
@Heatstreak86
@Heatstreak86 10 лет назад
Ashley ASHLEYM I struggled to find the interest in calc for a long time before I figured out how it applied to things
@Heatstreak86
@Heatstreak86 10 лет назад
And honestly I'm just not the greatest at math because I'm not very good at theory
@yosefmacgruber1920
@yosefmacgruber1920 8 лет назад
Why bother to calculate cigarette smoke pollution contamination of non-smokers? Just avoid restaurants that allow smoking or that serve alcohol. I mean really, so many restaurants. Why bother to go to a cigarette-stinky restaurant?
@donquixoteonrocinante
@donquixoteonrocinante 7 лет назад
Yosef MacGruber relax dude that was just an example
@ashleyashleym2969
@ashleyashleym2969 10 лет назад
lol i learnt the math was useful a long time ago and im only 17.
@Posh1552
@Posh1552 10 лет назад
probably should start thinking about english now
@johnbob1266
@johnbob1266 6 лет назад
so did everyone else your age
@krishjanga7246
@krishjanga7246 4 года назад
@@Posh1552 When a reply has more likes than the actual comment
@pepsico815
@pepsico815 9 лет назад
So far in calculus 1 I've learned more about algebra than I ever did as well.
@devondevon4366
@devondevon4366 2 года назад
Great information for students in secondary schools and college.
@capk1123
@capk1123 11 лет назад
Good Question. Many fields of engineering use calculus as a basis of the subject. Specifically Mechanical and Industrial Engineering. Mechanical Engineering courses in college have a large emphasis on calculus such as Mechanics and Dynamics. Industrial Engineering is based upon maximizing output and making ways where industries need maximum productivity this requires a lot of application of calculus.
@SeveralBirbs
@SeveralBirbs 8 лет назад
The real question is: what is calculus NOT used for?
@hawkeye2958
@hawkeye2958 8 лет назад
Getting laid
@johnbob1266
@johnbob1266 6 лет назад
develop a mathematical model on what angle you stick your obtuse angle into the parabola
@freakwayslash70
@freakwayslash70 5 лет назад
How does this tell the use of Calculus precisely? Very abstract and imaginary video!
@anonanonymous1988
@anonanonymous1988 2 года назад
The problem with how this is typically taught is; they don't give you a practical problem to solve, so the purpose is opaque. I tend to learn much better when I can understand what I'm doing. It's like memorizing times tables without knowing the process of how to get the answer or it's use. Sure you can know 9x9=81, but what happens when you have to figure out 286×932? You can only memorize so much and when you're asked to figure something outside of the range of what you memorized it's completely worthless.
@mikes6934
@mikes6934 10 лет назад
I went to MSU too and I took all the calculus for engineering. I am very sad that this was the only subject I did not understand through my studies. I have never been able to use it in anything I have ever done, because I never learned how to apply it. I could do all the math, but attaching it to something that mattered was never understood.
@jmafoko
@jmafoko 4 года назад
yes engineering schools and math dept do a bad job at this. they will spend so much time on something and then ditch it along the way. which shows the deptments heads did not plan the cillabus properly this is why you were left hanging. But if we see you down on your course we could derive all of the principles in it(your course) using calculus(that is from first principles of physics which are a set of differential equations). but the connections is usually skirmed or left for you to read on your own which thanks to your calculus you should be a ble to to do on your own.
@sghargrove
@sghargrove 11 лет назад
calculus is frustrating to me because you are branching into theoretical mathematics. i enjoy geometry/trig/algebra. solve for x. there IS an answer! find it! not "there is no answer" good try
@pazzaze1
@pazzaze1 8 лет назад
You guys think I need the university to learn math? I can do it by myself and the Internet and the library . Advise please
@Zekian
@Zekian 8 лет назад
+Kaylah Miranda You don't _need_ university to learn most things, I think the most valuable thing is speaking with knowledgeable people who you can guide your learning, they will help to show you when you misunderstand something, or push you in the right direction to learn other things that are relevant. But the most important thing is motivation, it's hard to focus on doing something and so much easier to talk about doing it. Perhaps having to attend lectures and meet deadlines is what will motivate you, perhaps not. Perhaps attending university will help you meet people passionate about the subject, perhaps not. I can't decide for you whether you should go to university. The main reason why I attended university was that I wanted a piece of paper to show that I was competent in the subject which I love studying: Computer Science. I did not attend to become competent, but the environment at my university was probably very helpful.
@pazzaze1
@pazzaze1 8 лет назад
thank you very very much.
@jmafoko
@jmafoko 4 года назад
@@pazzaze1 the best way to learn math is to use it to model things around you. classical physics is the best way to learn math. start with high school math , then A level math and physics. but most importantly try to use computer software like geogebra to see the math at work. model things to see how math works. infact that what math is used for professionally. learn programming as well, it will make you appreciate math.
@sajiktm
@sajiktm 4 года назад
yes ... thats what they designed boeing 737 max..... and falling down from the sky...........mathematical modeling !!!!
@ellanoellil
@ellanoellil 11 лет назад
to know how effective the smoke rooms are and are they necessary or not. If half of the smoke comes out, then maybe it's not very useful and we need a better solution.
@Deserrto
@Deserrto 8 лет назад
That was not inspiring
@igrewold
@igrewold 8 лет назад
I dunno how to learn calculus! ;D I am sick of it, I hate these freaking LIMITS!
@MrNacknime
@MrNacknime 8 лет назад
Where are you struggling, I think i could help
@igrewold
@igrewold 8 лет назад
Thank you very much for your offer. I will tell you when I get accepted into PhD. ;] Regards.
@MrNacknime
@MrNacknime 8 лет назад
igrewold Oh ok on PhD levels I would probably struggle as well ^^ just an average computer science student with calculus 1 and 2 here
@corochena
@corochena 7 лет назад
I teach calculus in college in Nicaragua (third world country), and sadly, I would say that less than 10% of my pupils get to understand the very basics of calculus, there is a huge opposition in them to study it and the biggest complain I get is "where in real life will I use this?", and it is a difficult question to answer in a honest way, being in Nicaragua, we don't have NASA or high tech industries where there is a chance to need derivatives and integrals, and the students aren't happy with the response "calculus will develop your mind", the only thing it comes to my mind is that we are pointing high and calculus will help you to understand other sciences such as statistics, physics, economics and others
@jmafoko
@jmafoko 4 года назад
this is best and correct answer imo. i think as educators we need to collaborate with other departments and teach calculus that is relevant to the institution and national goals (where there is no NASA). but about NASA i infact have all counttries should have some sought of NASA type institutions to help develop other industries. developing countries import techologies where calculus is used to engineer those products. So we cant say calculus doesnt apply in third world countries, we are not applying it and are buying foreign objects which were made using it. To compliment you nice answer I will point out calculus is really a set of algorithms ( mathametical modeling is really a form of programming). Models are ubiquious imo. I am from CS and I am interested in math modeling and what I found out is that calculus enable to write all functions. derivative is like recursion and integrations is like iteration. programming is about writing functions and similarly calculus is way of writing any functions. differential calculus is like functional programming imo while integration calculus is like procedural programming(iterative). Most of calculus is interested in finding analytic solutions, programming does not care about analytical solutions(only numerical ones). bottom line calculus is a form of computation, albeit an old one. It is my strong believe math dept should introduce other paradigms like programming together with traditional math.
@Linkophere
@Linkophere 8 лет назад
i got a 74 in calc. ill help you fam
@drtouchtoomuch5898
@drtouchtoomuch5898 8 лет назад
Find the cure to cancer already, you lazy ass
@AlchemistOfNirnroot
@AlchemistOfNirnroot 8 лет назад
Is that equivalent to a 1:1 (1st) in the UK?
@krishjanga7246
@krishjanga7246 4 года назад
I'm doing calculus basics and I am in 7th grade
@tortureh2371
@tortureh2371 6 лет назад
Im still in doubt,coz i have just started differentation and doing a lot of y= and dy/dx and i dont get the use of it
@zero_kelvin_
@zero_kelvin_ 6 лет назад
probably scared everyone off with that horrible presentation. very sad
@yurina1954
@yurina1954 Месяц назад
I'm so sorry for Burmese students who are just taught how to solve those complex questions but not how and where they are applied. That sucks"))
@Ahmedabdullahimohamud788
@Ahmedabdullahimohamud788 10 месяцев назад
I watch this video 2023 I asm so excited this lacture I love math specially apply mathmatics model in different disciplines and really life I graduated economics right now I started jonney to ehenced mathmatics skills for applying economics and other disciplines
@DavidDouglasJr
@DavidDouglasJr 12 лет назад
That's because you are a DJ, not a engineer. Clearly though, you're on the fence. Marry a smart woman.
@Physicsnerd1
@Physicsnerd1 8 лет назад
Blah Blah Blah, mathematics are the tools for physics. Like a carpenter's tools for wood, mathematics are used to shape the idea's of great minds. Physics is the shape, or the discovery, of the world around you. Mathematics is the language of physics plain and simple.
@Amidream1ng
@Amidream1ng 7 лет назад
this guy needs a drink... his mouth sounds are disgusting, im gagging
@chestermicek
@chestermicek 6 лет назад
Here is the truth about Differential and Integral Calculus: the average Jack or Jill can't understand it and has no use for it in his life. If you are above average, but not smart enough to create your own functions, you can pass Calculus 101 & 102, but it will be of no use for you. Now, if you are lots smarter than average, and can set your data into functions, you may be one of the few who can actually use The Calculus. That's exciting because it means you can calculate the instantaneous rate of change of the function, as well as the area beneath the function. Wowsers! You will use Differential Calculus for velocity, acceleration, and max/min problems once you have the curve expressed as a function. Moreover, you can use the integral to find the area and volume of objects and rotating functions. Then, you can abstract The Calculus to solve problems in Economics, Chemistry, Biology, Marketing, Accounting, etc. Example: you can start by making a graph of how something known varies with time, and then, you can abstract to how one variable varies when the other increases or decreases. If you have no idea what I just wrote, stick with Art History, British Lit, or Foreign Language Studies like 99$ of us must. For you smarties out there, you now know why college professors never tell their students what Calculus is used for. If they did, there'd be five kids out of 5,000 who might stay in Calculus class.
@elite_lurker7589
@elite_lurker7589 4 года назад
Absolutely nothing for my degree so I don’t know why it’s required...
@jmafoko
@jmafoko 4 года назад
Calculus is not directly used at career based courses like piloting, engineering, economics, business (at least the hard core parts i mean). If you are money oriented person learning science is not for you. Science or calculus sometimes feels like a drug even without money(esp the advanced stuff). Calculus is heavily applied at foundational courses like chemistry, physics, mathematical modelling(physics and chemistry are really math models). People do not live on foundations, so too careers(esp non academic) are usually not made from applying mathematics directly. Directly is key word there. Calculus is applied indirectly on high level courses like engineering and business. Take for instance computers. Computers are made from electronic gates which are transistors which are semi conductors which are discribed by maxwell equations(a bunch of calculus equations). So to understand how computers work you have to work down the ladder till you hit calculus. It does not mean you have to know calculus to write programs however. But if you want to understand what a computer is, or even what the ocmputer program is you will end up having to learn electro dynamics(calculus). Is calculus important? To tell the truth most people get to see how powerful math is at graduate level which is sad. Most math can only be appreciated(as in mouth gapping) at advanced level of applications eg in theories of big bang, quantum phyiscs. But these are taught at graduate level of which most unacademics never get to see hence live unsatisfied or wonder why they learnt all the stuff. But all is not lost, because learning is for a life time. If you have basic calculus you are able to follow most arguments that you may learn on a llatter stage esp fundamental principles of your subject or an entirely new subject. So is calculus useful? Yes it is.
@sapi966
@sapi966 4 года назад
This video is kind of disappointing. He does tell you where Calculus might be used, one instance being the refinement of medical experiments. But he does not give a concrete example, i.e. he does not show or tell you how Calculus makes that possible. He just says you'll make mathematical models and it will happen.
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