Applying Calculus to Physics

This post explores the relationship between mathematics, calculus, physics, language, and problem solving, with a strong focus on how students should think when moving from symbolic math into physical application.

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How to Apply Calculus to Physics

A reflective discussion on how symbolic mathematics connects to physical reality, why language matters, and why students must learn to extract the math from a physics problem instead of getting lost in the wording.

Watch on YouTube: https://youtu.be/MI5f-m5Cw9Q

What This Post Covers

• Why mathematics and physics are connected but not identical
• Why calculus is really about change, accumulation, and summation
• Why applying math to physics requires approximation and experiment
• Why students should extract the mathematical structure from a physics question
• Why English and precise language matter in technical problem solving

Introduction

This post reflects on one of the biggest challenges students face in college science: understanding how pure mathematics connects to physical reality. The main argument is that mathematics and physics are not the same thing. Mathematics is a symbolic language built on exact rules, while physics uses that language to model a world filled with approximation, uncertainty, and measurement limits.

The overall message is that students often get stuck because they try to understand the physical story too early, rather than first extracting the mathematical structure hidden inside the problem. To apply calculus well, you have to learn how to see the math through the physics.

Main Ideas

1. Mathematics is precise, physics is approximate

A central point in this post is that mathematics operates under strict symbolic rules, while physics uses those rules to model a messy physical world. In mathematics, the structure is exact. In physics, the result must be interpreted through measurement, experiment, and approximation.

2. Calculus is about changing quantities

The post repeatedly returns to the idea that calculus allows us to work with changing quantities rather than fixed ones. This is why calculus becomes useful in physical systems where force, velocity, acceleration, weight, and other quantities vary over time or position.

3. Applying calculus to physics requires experiment

Even when the mathematics is exact, the physics is still tested against the real world. That is why experiment matters. The formulas may be clear, but physical conditions such as measurement precision, units, wind, friction, and scale can all affect what actually happens.

4. Students should extract the algorithm from the question

One of the strongest practical ideas here is that students often get lost by reading the physics question like a story. Instead, the better move is to identify the data, isolate the changing quantities, and build the algorithm that matches the problem structure.

5. Language is part of doing physics correctly

The post argues that students cannot apply calculus well if they do not understand language well. Scientific thinking depends on precision in words, definitions, instructions, and symbolic interpretation. That means technical English is not separate from calculus or physics. It is part of the same process.

Post Summary

This talk begins by asking how calculus and mathematics actually connect to physics. The answer given is that mathematics is a language for describing and predicting under rule, but it does so in a world of ideal objects and exact relations. Physics, by contrast, deals with real measurement, approximation, and imperfect application. That means the connection between the two is powerful, but never completely simple.

One of the key ideas is that students often make the mistake of trying to use physical intuition to define mathematics itself. The post argues that this runs in the wrong direction. Mathematics does not come from apples, ropes, or moving objects in any simple way. It is a symbolic framework first. The physical examples come later as applications.

The post then moves into the idea that some students in calculus based physics are not really doing very much calculus yet. Instead, they are often using formulas that were already derived from calculus. For example, constant acceleration formulas can be seen as the result of integrating simpler functions, but many students are just using the final equations rather than seeing the deeper process behind them.

A practical example used here is the image of pulling a rope upward. Each time part of the rope is lifted, the remaining hanging rope becomes lighter. That changing weight makes it a natural calculus problem because the force involved is not constant. This kind of example helps show how integration and anti derivatives emerge when physical quantities vary continuously rather than staying fixed.

The talk emphasizes that applying calculus to physics is not just about following a formula. It is about choosing a level of approximation, deciding what variables matter, and then building a mathematical description that is good enough for the physical situation at hand. In the real world, exactness must always be filtered through units, measurement precision, and physical limitations.

A major recurring theme is that students get stuck because they try too hard to “understand the physics” before they have extracted the mathematical structure from the problem. The advice given is to stop trying to read the whole problem as a narrative and instead identify the numbers, variables, relationships, and instructions that suggest the algorithm. In other words, learn to see the math through the physics.

The post also distinguishes between different kinds of understanding. A physicist may know how to solve many individual problems, while a mathematician is often trying to understand the underlying structure that could solve an entire class of problems. This is used to explain why applying calculus in science is not just about one answer, but about understanding patterns of relation and change.

Another major argument is that calculus is fundamentally about accumulation, change, and summation. While students often think of it as just derivatives and formulas, the deeper structure points toward summing infinitely many tiny contributions to build a larger result. That is why integration becomes so central when modeling changing physical systems.

The post keeps returning to the importance of language. Students are reminded that physics problems are written in words, and that misunderstanding those words leads directly to misunderstanding the mathematics. If your language habits are sloppy, your technical reasoning will also be sloppy. Precision in English supports precision in calculus and physics.

The conclusion is practical and direct. To become better at applying calculus to physics, students should slow down, strengthen their reading of language, stop depending on other people to interpret the problem for them, and practice extracting the underlying algorithm from the given information. This is treated as a learned skill, not a mysterious talent.

In short, the message is that applying calculus to physics is less about memorizing formulas and more about disciplined interpretation. Learn the language, learn the structure, and let the mathematics emerge from the physical problem in a methodical way.

Closing Thought

The hardest part of applying calculus to physics is usually not the calculus itself. It is learning how to read the situation, isolate the structure, and translate messy reality into a mathematical form you can actually work with.

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Original Transcript

All right. So, how do we apply calculus to physics, math to physics? It’s like, so if if you look at a uh a cone that is formed in three dimensions, there’s an equation where it the denominator is zero. And so there’s a hole in the graph, but it’s like infinitely approaching that hole. It converges to zero. And I always I think about the connection between math and physics is like that. There’s this convergence of two things that are completely separate, but they come together still. Mathematics is like the art of language. It’s to describe things, to predict outcome under rule. But it does it under false prediction. This is something that the funny thing about math is that it’s the only way to speak the truth. But everything within it is technically a lie because it’s not applicable in the real world. There’s no such thing as a line. That’s a concept. There’s no such thing as a rectangle. That’s a concept. It’s a it’s in in here. It’s possible because there’s no physical object that you’re modeling. So in the mind, mathematics is in the mind. It’s not physical. People make the mistake, excuse me, people make the mistake all the time trying to they try to use physics to describe math. It don’t work that way. It it just it just it just ain’t be working that way. I I tell you guys on you’re trying to find a lot of you guys on YouTube, you’re searching endlessly for the cure to your problem, but your problem is the cure to solve it. You search endlessly like you you’re like the crispy cream doughnut diet. Eventually, that’s possible. You can take Zepbound. You can have a donut once a day, take a bunch of heartburn medication, and lose a lot of weight.

math to physics, chemistry, science. But but you guys when you guys there’s a there’s two there’s math and there’s physics and there’s engineering. Math is the art of telling the truth with a language that allows you only to lie. Nothing you say is true. But math, I always say math spins a web of truth out of a spool of lies. A spool’s a collection of yarn, strain, whatever. So, but we we come to this this question then math verse physics. How does one bring math into physics? How do you apply math to physics? Because some some of you are taking calculusbased physics, but you’re not actually doing calculus in the physics really. You’re just using the results of calculus. the algebraic equations. You take the anti-derivative of acceleration, you get velocity and then you add a constant and you do this with respect to time and it forms the kinematic equations. You do it again, you’re going to have x initial or x is equal to x initial plus v initial * t + 12 acceleration time t squared. You can get that simply by taking the anti-derivative of the acceleration function if you treat the acceleration function as a constant because it’s kinematic equations with constant acceleration. But calculus uses non-constant acceleration meaning meaning a acceleration is a function of time. So you might have a function of acceleration that’s like t ^2 plus t or something. Then you use calculus to find the velocity by taking the derivative. That’s very basic, very fundamental. Most of you are not going to do that. Even in a calculus course, you’re not going to do that. But that’s simple. That’s that’s just like here’s a formula. Do the formula. What you guys are trying to do is like how do we connect math to physics? That’s a language barrier. You’re looking at a a sheet, a thin sheet that separates. So that’s why I I say that there’s only one electron and that electron is an infinite plane that divides Satan from God. I I’m working on the math on this. It It’s interesting stuff. There’s a division, but it’s still connected. And so like like I say that because not that I’m trying to get religious in here, but I say that because it’s like the devil can reach in through the electron and it can form the electrons and manipulate things and become part of this world, but it’s always separate at the same time. And and so math and physics, that’s kind of just a way I describe math and physics. Math and physics is kind of like good and evil. Or maybe engineering’s evil, math is good, and physics is the divider. Something like that. Be it’s bizarre because in math everything’s precise. You’re doing precise things. Even when you’re making approximations, you’re doing it precisely. But in physics, you’re just taking the best averages, the best guesses, and you’re using math to do that. So then you come to this question, but how I how do I see? So what I call it, one of my quotes that I coined is you’ve got to see the math through the physics, like seeing the forest through the trees. You got to see the math through the physics. Now, I think one of the easiest ways to understand how calculus applies to physics is by taking a rope and just pulling up a rope. Just imagine standing at the edge of a building or a cliff or something and you’re pulling up a rope. Doesn’t matter if it’s a fishing line or whatever. You’re just you’re pulling up a rope and you want to calculate measurements of force and things like that. It’s a very common question that you guys come across in calculus.

When you pull the rope up, it gets lighter with each tug, each each lift. The the rope gets lighter every time you lift it. So the weight changes and it changes in a motion of series. It’s just patternistic change. And that’s what anti-derivatives are. They’re a series. Uh when you guys don’t read the textbooks, you’re not get you’re watching YouTube videos, you’re not getting the full spectrum of math. Most of you, you don’t know the fundamental theorem of calculus. There’s two of them. And then the limit definition of the anti-derivative. the the there’s a definition of the anti-derivative. There’s the fundamental theorem. You guys you you guys you’re studying math. You guys don’t know these names. You don’t know how to differentiate these things. And these things they work differently in different scientific application.

There there’s different angles to understanding how physics applies to math. There’s the angle where you just understand how to apply the math based on the rules that other people did, which is pretty much what I I show you guys when I do these videos. I show you I open up the physics book. We did the a few weeks ago we did I don’t have the video up anymore. I know some of you are very upset that I deleted videos. Look, you get email YouTube. Ask them why they’re so greedy and vicious. There’s no point in me working for nothing. I have to pay my bills. So, you know, if you’re upset about that, email YouTube. I they’re I don’t know what they’re doing. They’re like I’m like I’m building their company for free and they’re not giving me anything. And it’s like, oh yeah, I’m doing it for free. That’s why they’re not giving me anything. They’re they’re too big. It’s the monopoly. This is why America was like, “No monopolies.” You know, we’re not going to have monopolies in America because it’s not fair. We all want a fair shot at having a good life. The pursuit of happiness is guaranteed. It’s like it’s a tautology basically. Perpetual misery is what it says. The pursuit of happiness is guaranteed. Meaning you’ll never be happy. You’ll always be trying to be happy. That and that’s a mathematical like enigma type situation because it’s it’s a convergence thing. You’re never going to reach the point, but eventually you might. Like it’s that’s convergence. You’re never actually going to get there, but you might. And now that’s the mathematical versus the physics. You understand? See, in a physics graph, you can go infinitely close to zero and never touch zero. In the real world, there is no zero. That you’re not you can’t draw a line. There’s no smooth surface. Everything’s mixed up. That then that you think about you think about what a line is. It’s just a rectangle. Then you think about what a rectangle is. It’s just a collection of compounds and molecules. So there’s that little snippet of measurement between mathematics and physics that becomes nullified. And that’s the difference between mathematicians and physicists. I I told you guys this joke. I don’t know if it’s really a joke. It’s funny to me, but you got an a mathematician, a physicist, and an engineer. They’re staring at an empty room. That room has one door, one opening, and two people walk into that room and one person walks out and they look and it’s empty. The engineer says there’s an error in calculation. The physicist says no, in this case two actually equals one. And the mathematician says no, if one more person walks in, then the room is half empty.

the so mathematic mathematics is very different than the application of mathematics. Another thing I tell you, so we’re trying to right now we’re trying to understand how how do we relate math to physics. It’s a language barrier. First you need to understand how language relates math to physics. And so we go back to the two apple situation. I tell you guys, I’ve got two apples. Imagine my two fists here are two apples. I subtract one apple from the other apple. How many apples do I have? And people are they’re like they’re always it’s either one or zero. Why would there be one? Why would there be zero? There’s still there’s two apples there. They didn’t go anywhere. They didn’t disappear. Then then comes in the well, if we’re in the quantum realm, we’re not in the quantum realm. We’re talking about apples. That’s not quantum realm. Those apples aren’t going to be in the quantum realm. And and the quantum realm, in my opinion, has the same measurements as the non-quantum realm. If you’re the same size as everything down there, then it just becomes a regular measurement realm. It seems different probable probabilistic just because of a lensing of space. A curvature of thought and vision makes it seem that way. and we can guess at the outcome. But mathematics, how do we get this here math to relate to the physics? So, so you do these precise measurements in math, these like you do these anti-derivatives with with fundamental functions that work out to have an anti-derivative and things like that and it comes out to be an an exact relation. But that’s not what happens in the in reality. It’s all complete approximation. So then you use you can use those measurements to tie it to math and to physics by experiment. So the rope we’re pulling up this rope it’s getting lighter with each tug each pole you pull up a foot it’s it’s one foot lighter. So you take the weight you take the distance you take the anti-derivative on an increment of measurement related to the units that you’re working with. Are you working with meters or are you working with feet? you’re working with the metric system or the eur the the imperial system then you have significant figures you have to shave off certain numbers because they don’t match the other numbers so you have increments of approximated measurements now you can learn how to use the math properly in these situations through thought experiment or through physical experiment it. You can come to conclusion with thought. Ultimately though, it’s still going to change when you do it physically and you don’t know what kind of like things are going to just come out of nowhere. A gust of wind. That that that’s the issue with physics. Now, you’re making just a very straightforward mathematical equation that models, hey, every time we pull a foot of this rope up, it’s a foot lighter. We’ll treat it like a cylinder. We’ll give it an approximate value based on a cylindrical weight and we’ll take that weight every foot it’s changing. Calculus allows you to make these complicated calculations where things are changing. That’s what that’s what calculus allows you to do. Understanding the backbone of calculus is very different than applying basic calculus to things. There there’s an application of calculus and then there’s understanding calculus. So I I tell you guys all the time, a mathematician would understand how to solve every problem. Somebody that applies math would understand how to solve any problem and you like that what does that even make sense? Well, okay, let me reexlain it. So like a like a physicist would look at a Sudoku puzzle and they would solve it and they’d be able to solve pretty much everyone they try. A mathematician would look at the Sudoku puzzle and create an algorithm that would solve every one of them every single time. You’d have to prove that it would work though. I don’t know if that’s possible with Sodoku. I I haven’t looked into that. But that’s what a mathematician would do. That’s kind of the difference. The the physicist understands the math and how to apply it. the mathematician understands how to use the math to do it for everything. The physicist ultimately should be in that world too. So there’s there’s just when you’re talking about applying math to physics, calculus to physics, it’s you got to understand what calculus really is. Calculus is the summation of things. Calculus is all about leading up to summing things up. Literally, I mean, that’s what you get to, just summing things up. just a bunch of anti-derivatives, integration, summation in many different ways. And it it’s a very complicated way to make something very easy. The end result of the formula is very easy. Most of you most of you in physics, you’re not actually doing any real calculus. The real calculus is looking at the summation behind everything, the series. If you haven’t gotten that far into calculus yet, it it comes at the end of calculus 2. You’re kind of when you’re doing calculus, it’s kind of taught in reverse. Like what you lead up to is what it really is explaining at the beginning, but it’s just so complex that they have to most the average person needs to be me too. I’m I’m an average person more or less very unalked up to this ladder of knowledge. Then you can see down the ladder. But if you started at the top of the ladder, it you just fall. It’s weird. It’s it’s like taught in reverse, basically. But if you want to apply calculus to physics, okay, this is the truth. You got to see the math through the physics, which means you got to stop thinking about physics. That’s your guys’s problem. You’re trying to understand physics. It’s not possible to understand physics. It’s why we have math to describe it. You can’t understand this. You can only describe it with math. And math is not 100% accurate when you’re making calculations in physics. It’s completely inaccurate. You can only approximate and do averages. But you can find out what kind of math applies to the physics by experiment. So you take calculus which is an application of change. Things are changing. They’re not just a straight thing. They’re just they’re changing. I don’t want to use the word linear and nonlinear because people use those words incorrectly in math all the time. There’s no linear as a straight line. That’s not what when we’re talking about linearity. That’s it’s it’s a combination of variables and constants in most books, definitions, words and stuff. But for you guys, you know, calculus and physics, if you’re trying to understand how to take a language and morph it into a physical relation, you have to understand how to approximate it and close off doors. You you have to ignore some calculation. And when that when that rope’s coming up, you can think of it in this sort of linear way that you want to use that word, but it’s just it’s changing. But other things can come in and they can alter that change. So you have to choose how accurate of a measurement do you want because you could toil to infinity trying to get the most perfect approximation. But in relation to the physical size of your body, a certain amount is fine. It works because we can’t see how imperfect the edge of these computer surfaces really are because we’re too big. And that’s relativity that comes in with relativity. It changes. So that math is a language. So you got to understand that math math is completely separate from physics. You try to explain math with physics, you are not explaining math at all. Math is bound under rules. It’s strict. You can’t make alterations. It will give you a calculation. When you take it and you apply it to physics, you can bend those rules to make it work for you. But that and that causes a huge conflict. This is a conflict that’s been going on forever because it’s like if you change these precise rules in math to work to make your measurement better, then it’s not the measurement’s not right. You’re just making things up. But it still works. The engineers use it. It still works. It’s two different worlds. They converge at inaccuracy. If you want to if if you want to be better at applying calculus to physics, I would stop I would highly encourage that you stop trying to understand any of this. It’s the whole entire things in my books. What I show you guys is I show you how to dissect the question, extract the math and put the math together to get the answer and show how the answer is in fact correct. Most of you all you read the questions and that’s another quote of mine is I say the biggest mistake a student makes when they’re solving a physics problem is reading the question you don’t need to read it you got to see the math through it reading it you’re not going to understand it nobody nobody knows why anything works in this universe nobody knows anything religious people ancient alien astronaut people nobody knows anything it’s all just a guess and people are willing to kill over their guests guess. It’s sick. And in math, there’s no guessing. But when you take the math out into physics, it can become a guess. It’s like, oh, we just it kind of works. We’ll make it work. We’ll just we’ll alter it. We’ll shave it a little bit. Because if you’re trying to make a product, like you’re trying to make something like this, you know, like a product like I’m doing that right now. I’m making books right now. And the measurements on paper are not the same measurements as what comes out. And so, you got to make it work. And some of you, I don’t know, it might be very difficult for you to understand that. Let’s go back to the apples. The apples, you get two apples. You can’t subtract two apples from each other. They’re still there. They’re not disappearing. But if you have two apples in a container, by the way, if you’re listening to this on five times the speed, you need to stop that. Slow it down. Back to regular speed. You got two apples in a container. You take an apple out of the container. Now you have one apple in the container. If you guys want to understand how to apply math to physics, you should understand how English works. So challenge yourself on a daily basis to comprehend what people are actually saying because you’ll be shocked to find that when you talk to people, they don’t know what they’re saying because they don’t know the definitions of the words. They don’t know they don’t know the actual laws. When you when you study math and physics, what’s going to happen is you’re going to realize that when you have a conversation with somebody in everyday public, they don’t know what they’re saying. They don’t know anything. And they’ll defend it to the point of murder, war, because they don’t they don’t know the definitions. They don’t know the laws, but they will argue it to death. And that’s something you should be very prepared for as a scientist to talk to the everyday average person because they don’t know what they’re saying. They all think the definition of insanity is doing the same thing over and over. And you’re like, “It’s not.” And they’re like, “Well, what dictionary are you using?” I’m like, “Okay, let’s like you can’t cite the source.” Einstein said that verbatim and people think it’s the definition because of the Alcoholics Anonymous 12step program who integrated it into their literature as the definition. So, if you want to refer to the dictionary that says that, it would be Alcoholics Anonymous. And when you go to Alcoholics Anonymous, what they tell you is only an alcoholic can say they’re an alcoholic. Only alcoholic can diagnose themselves. Then they say, “When is an alcoholic lying?” Whenever they open their mouths. So, they just contradict themselves. And and it’s it has like a less than 1% success rate because it just doesn’t it doesn’t work. It’s a good place sometimes, but it just it’s it’s a fabrication of lies. And it’s very frustrating because people have embedded so much into that fabrication of lies. But who’s to say it’s not true? You got people that So then we this this will this will break you into the concept of infinite possibilities. Time is infinite on a strip of measurement. So this is your calculus of physics. Okay. So on a strip of time, it’s infinitely long. You’re like, “No, it’s not. It’s it’s two seconds.” Yeah, that’s infinite because you can break it up into increments. 1.5 seconds, 1.51 seconds, 1.511 seconds. It’s infinitely long on a strip of time. And time itself is infinite. So you have infinity within infinity. If you believe in a certain religion, it’s probably true on a strip of time forever. So in in your mind, in your world, it’s a strip of time that will last forever. Your religious beliefs that works for some people, but and but you’re that that’s how I see it in relation to physics. I’m like I’m like I think, you know, how can we all be so offbalance with each other on how life works? And I think about it in relation to physics. I’m like, it’s because there’s an infinite amount of ways to look at it. And every one of them is true on an infinitely finite strip of time. Do you understand how that works? It’s infinitely long. A two seconds is infinite. There there is no when you’re talking about numerology and measuring that it’s infinite. It goes on forever. And you can also snip it off and make it finite. That’s what calculus is ultimately talking about. Calculus is summing up an infinite amount of finite things to fill a void more or less. Some people some people like to say it’s about finding the area of something that’s not uniform. That’s that’s a consequence. It’s about summing up a bunch of stuff to find convergence and divergence. And that that separation between physics and math is a type of convergence and divergence.

It it when you’re relating calculus to math, it changes. But in order for you to actually apply calculus to math, you need to understand how to see the math through the physics. That’s the whole primary focus of everything that I do here. The math is easy, guys. Doing calculus is easy. This has everything in this book, the crash course. That’s everything you need to know about calculus. in like two 200 no 4 300 pages like 300 pages of just this is calculus. It’s easy. The calculus is easy but applying it to physics that’s the ultimate goal is to show you guys how to do that because when you read a physics question you have to know how to extract the math out of there. And when you read it you shouldn’t read it. I I show you how to go backwards through it. I have a technique. You go backwards through it. You don’t actually read the question. You just extract the numbers and you create an algorithm. And that’s the objective here is for you to create an algorithm. And then we use the appropriate math. And there’s multiple maths that work for the same questions. But sometimes you’ll use vector calculus, sometimes you use linear algebra. You can use either one. They’ll both answer the questions differently with different notations. And that that’s that is a practice, guys. This is so important to understand how to use calculus and physics. That is a practice that comes from reading that textbook and thinking methodically. A step-by-step approach. Watching other people do it is not going to help you. I show you my technique that I mastered over 15 years and I I used it to help students one-on-one for 15 years. as I was developing it, I was working with people. That technique, it just works like all the time. It’s just an effective technique. So, that’s what I show you guys. It’s a lot of work at first, though. But once you master it, then it then you’re a very applicable person. And that’s that’s showing you how to see the math through the physics because I’m responding to a comment and and the and I I appreciate the comment because that’s the ultimate goal here is like the math is easy, guys. Math is simple. If it’s difficult for you, it’s because you’re you’re skipping steps. You’re not reading the instructions. The instructions are in the textbook. You need to have a class on how to read a freaking textbook, though. That’s what I’m doing here. I’m like, you guys are all failing college because no one taught you how to read a textbook. I mean, that’s a real situation here. You guys are all failing college because no one taught you how to read a textbook. And you’ve been you’re supposed to have been reading these things since day one. It is not modern learning by watching somebody scribble chicken scratch. You guys, it’s like some of you, you you’re watching children with crayons. That is not learning anything. Okay? It’s nothing. the textbook structured rules, applications, different notations, symbols.

That’s where you learn. And applying calculus to physics is a step-by-step process that takes a long time to understand. And there’s different ways to see it. With the rope, you’re changing weight. So the the anti-derivative of that to calculate like work is be based on weight changing with each increment being pulled up. You’re making a chained link. Seems like a simple thing to do. Every link has to be accounted for the weight of multiple links. And that’s how your mathematical education works. Your math is only as strong as the section you did the worst in. It’s like a chain link that’s going to snap. And that that comes from watching people solve problems on the internet. It doesn’t help you. It does nothing to help you. it it’s just you’re furthering destroying your education. That’s all you’re doing.

And I emphasize because a lot of you like, “Well, then what are you doing on here?” I’m like, “Well, I deleted a lot of those videos for that reason.” We have a reality check here. You guys have to read the book and do this on your own. If I do everything for you, it’s just another Khan Academy. But I’m doing things with you guys as a team. We’re going through complex stuff, complicated stuff. I wouldn’t use the word complex necessarily because that has a different meaning in most math. So again, I challenge you with words. You got to understand words, the apples. That would be my best advice about applying calculus to physics is to start thinking about what you’re saying. Some of you guys come on here and I tell you constantly, you need to edit the sentences that you’re typing. And you’re like, but we’re just on a YouTube chat. Why would I care about that? I’m like, because you’re practicing the art of being unprofessional when you don’t do that. You’re reinforcing unprofessionalism in a situation where you’re trying to become professional. I understand. But you chose a career that requires precision based on language. When I when you guys ask questions on here, my first my first thoughts are the reason you guys are struggling with math and physics is because none of you practice English properly. You all work at not understanding English properly. Like that’s what you guys all do. and and you can’t do math if you don’t know English or whatever your native language is. You have to understand that structure of language to apply this structure of language. That’s where it all begins for you guys. The apples, it’s just it’s a it’s a game and it’s a messed up game and it’s confusing and it’s long. It’s it’s it’s long and it’s tedious, but it’s rewarding. It will protect you. Knowledge will protect you. It’s it’s fascinating. You know, educated people are generally protected from for some reason. They know things and that allows them to survive better. There there’s way more to college than you think. All the people I’ve met that run businesses that have college degrees are very successful. And the ones that don’t have college degrees are either struggling or moderately successful. There there’s just certain kind of things that you experience through it. But you for you guys look you want to learn you want to know how to apply calculus to physics you got to understand English you really do you got to challenge yourself every day about English these things you guys come to me it’s like the last thing in the world you thought you were going to hear learn English you want to understand how to apply calculus to physics learn English you want to do physics correctly stop trying to understand it don’t read the questions extract the data that tells you how to solve the algorithm you have to change the way you think. That’s all I show you guys on here how to do that. That’s the whole point. If you’re struggling with calculus, calculus, my book, that the whole point of that book is to show you exactly everything you need to know about calculus and how to do it the way you’re supposed to do it. It’s not written like a textbook. It’s written the way you should write it as a student. You have to see it differently. A textbook is different than this. This is like this is how you’re supposed to be looking at it. And right now you’re just playing a guessing game.

There’s different levels. I could talk about this for hours. There are different levels of how you apply physics uh calculus to physics. There are many different levels, many different angles, limits, derivatives, sequences, series, summation, integration, formulas, derived formulas. There’s a different derivative and deriving are two different words. English guys, practice your English.

So anyways, if you want to apply calculus to physics, learn English and don’t read the questions when you’re trying to solve them. Extract the data that gives you the instruction for the algorithm because every question comes with instructions on how to solve it. You just got to know how to read those instructions. And when you guys don’t practice reading those instructions, you get worse at it. And when you have other people on the internet read it for you, you get worse worse at it. And then it’s going to take you a long time to recover if you recover.

If you’re lost in calculus, I recommend my book. Look, I wrote that book for a reason. I didn’t write I didn’t write it for no reason. I mean, I wrote it to help you guys ultimately. That was the point. I’m like, you guys I’m like, here’s an opportunity, a business opportunity. you guys need to know this and I need to pay my bills. I thought it was a great idea and then 15-year-old kids that want me dead because they want to cheat and pirate decided to ruin my life. So, welcome to the welcome to the world, guys. What you’re going to have to deal with. You work really hard. You become highly educated. You write an 800page book and a child decides to destroy your life by lying to everybody. And according to the internet, that’s what they want. Children to destroy other people’s lives, which is why kids are being banned from social media in other countries. It’ll take America 50 years to stop that, though, because America is like, “Well, we got to rob everybody first before we change any laws.” All right? I got to make at least 200, 300 grand a year, doing nothing for years, talking about nothing. Then we’ll change the law. That That’s the politics in America. politics. It’s we have a we have a weird thing going on right now in our world. A very weird thing. This this game that we’re all playing trying to kill each other through talking, attacking through talking secretly. It’s a sickness that needs to end. It’s a sickness and it needs to end. just gossiping and talking about people behind their backs through the internet because you feel protected. Well, the AI is changing that. It’s helping it’s helping people find I I actually finally one of you guys that were stalking me trying to defame me. YouTube banned your ass. Finally, thanks to the AI. The AI is helpful. It banned this kid. He He got banned. He was I mean, I don’t know what he’s going on in his head. He’s out there committing felonies, making fake information about me, thinking he’s marching for Jesus or something about what, bro? Like, I’m trying to help you. You will have a much better life if you listen to me. You’ll have a great life. You’ll have a lot of money. You’ll have a successful education. You’ll be desired by a lot of companies. And you’re like, “Uh, I want to steal and lie and cheat.” And then you go and you try to ruin my life because you don’t like my personality and you want to steal a lion cheat. Learn English. Okay? If you actually want to understand how to apply calculus to physics, you got to understand English. It starts there. You spent like 18 years learning English and math. Then you go to college and what do you do? More English, more math. Then you go to physics and engineering. What are you do? What are you doing? You’re writing papers, mathematical essays, English essays, and most of you still don’t know where to put a comma in a sentence. I don’t really know where to put a comma in a sentence. I I write books for a living, and I have like a 98 99% accuracy of editing when I write. I But it happened from like conditioning and like different. It’s weird because that’s that division I’m telling you guys about. Math is precise. There’s a precise way to write English based on what order you’re under. It’s not universal though, just like with MLA and APA and Chicago style or whatever. The rules are different. European, you know, the way they spell color and have Z’s instead of or have S’s instead of Z’s and things. Ling, English, you guys got to understand English. And you got to understand what English you’re under. What are you operating under? and in math. What book are you operating under? And it’s all it’s like it’s it it’ll drive you nuts because it’s precise right there, but if you take it out of there, it’s no longer precise. And it’s like you’re like, “This isn’t the way this is not APA.” And I’m like, “Well, I’m doing MLA.” And they’re like, “But that’s taught APA.” And I’m like, “Well, we’re we’re doing Stuart’s calculus, not Thomas’s calculus.” English, kids. English. And those of you who hate me and want to destroy me, English. Okay? Go learn English first. Before you do that, learn the laws that you’re breaking. Discover how your ignorance can land you in a place that’s very unpleasant, a jail cell. And yes, YouTube integrated just recently this AI thing that if you guys are trying to ruin other people’s lives on here, they’ll ban your ass. And it can go further than that. And I’m very happy about that. I’m very happy that one of you guys finally you literally they banned your ass. I mean, they you’re you’re off Google. They k they kicked you off of Google. You guys don’t want to be kicked off of that. That’s a huge corporation and you’re like, “Well, I’ll just make a new account. You have a social security number because they’re going to they’re going to tie it to that if it’s anything financially related at least.” You guys, I’m I’m trying to help you. Your kids, you’re making mistakes. I’m trying to help you not make those mistakes. Don’t let your anger dictate your intelligence. If you’re getting angry, stop. Just stop because it’s not going to help you solve any math problem. It’s not going to help you do anything. It’s it’s just going to cause more problems. And just stop. Say, “This is not going to help me solve anything.” That’s another part of solving physics problems. I get angry when I’m solving physics problems. In the past, years ago, I’d get angry and I’d be like, “Why am I getting angry? It’s causing things to react in my head that are literally making me less capable of understanding this. So, it’s like getting angry is the exact opposite thing of what you want to do. And that and that’s a good life lesson because in any situation, if you feel angry, it it’s a it’s a signal for you to stop being angry. If you feel anger coming on, it’s a signal for you to stop. It’s your body is saying, “Don’t allow this chemical reaction to continue.” That anger, you’re misunderstanding what it’s telling you. It’s telling you to stop being angry. It’s not telling you to amplify anger. Math will help you find that peace because you can’t do math if you’re angry. It’s impossible. You got to calm yourself. It’s a question that requires an algorithm to structure the solution to provide the answer. English, right? You want to do calculus, you want to apply calculus to physics, kid, English or your native language. Think about how words work all day. Challenge yourself. Challenge yourself. The apples. Challenge yourself and you’ll get stronger. All right. All right. Have a good day.