This approach correctly treats mathematics as a formal language, offering a refreshing return to rigor in an era of superficial learning shortcuts. It provides a disciplined roadmap that prioritizes foundational logic over the mere memorization of formulas.
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The Fastest and Easiest Way to Learn MathematicsAdded:
All right, so what's the fastest and easiest way to learn mathematics?
Uh we'll talk about physics in another one here.
Kids, children, boys, girls, first you need to understand what mathematics is.
The majority of you all think is that the mathematics is the arithmetic and physics. You think that balancing equations and then comparing them to apples and oranges is math. That's arithmetic and basic physics.
Let's let's begin the process here, okay? Let's look at the standard accepted definition according to Siri.
Hey Siri, define mathematics. Hey Siri.
Hey Siri.
Define mathematics.
Mathematics means the abstract science of number, quantity, and space. Mathematics may be studied in its own right, pure mathematics, or as it is applied to other disciplines such as physics and engineering, applied mathematics.
It's a vague explanation of it. So as a as a trained as a person trained in mathematic math mathematics, I don't like saying I'm a mathematician or physicist or an engineer or anything like that because I'm a human, I'm a sack of flesh, but I'm trained in the art of mathematics. I am like multiple black belt destruction of the mind.
>> [snorts] >> So let's let's begin with mathematics, okay?
Mathematics is a word. Math is an umbrella word. Physics is an umbrella word.
Pretty much every single subject that you can study is a form of physics. So it's an umbrella word. There's no degree of physics. There's an overall generalized understanding of multiple subjects and disciplines, and then you go into graduate school or your job and you focus on one thing and you become an expert at that one thing.
>> [snorts] >> Maybe it's uh quantum mechanics, but what that's another umbrella word. There's many many things going on in there. You [clears throat] might study one thing in there for the for like 20 years.
One of these little definitions or theorems that you guys see in these books may have been 20 years of somebody's life, a little snippet, a little paragraph. May have meant 20 years of their life.
They had to prove it and figure out how to prove it and all these things and now it's a little theorem that you can use.
PhD.
It it Okay, so let's understand first.
Mathematics is a word.
Here's to understand first of all, you need to separate math from physics, okay?
The majority of you do terrible in college because you never separate math from physics. You continuously try to do you try you try to visualize math. You can't visualize math. If you think you can, you're in the wrong field. You need to leave this field. You're not going to succeed. You're you're in the wrong place.
You can apply math.
That's what you mean to say is how do I apply this?
What you're going to find as you dive into math, a lot of math is not being applied.
We haven't found anything to apply it to yet. Hence, there's no visualization.
>> [laughter] [snorts] >> You can't visualize math. You can apply it, okay? A uh a parabola in a graph.
A polynomial, second degree polynomial, a parabola.
A baseball being thrown, a parabolic motion.
That it That's not visualizing math. That's an application of algebraic structure in many different forms.
Calculating the area of a unknown square, x * x. Y is equal to x squared is the area. It's a second degree polynomial. It's a parabola. It's a parabola on the graph, open upward.
Vertex at the origin.
It represents the area of a square.
Where's the visualization at?
There's no visualization. In math, x squared is a second degree polynomial.
In physics, x squared might be representing some parabolic motion.
So, let's just break that down. Okay, I like to I always like to use the thing with the apples.
Let's understand math and physics. We're separating math from physics and English. That's why I call it PLUM.
Physics, language, engineering, mathematics. PLUM.
>> [snorts] >> Let's go to the language part first. L is for language, not loser, but that's what you is if you're using that AI.
Loser. Only a loser would use AI.
Failure, really.
I'm going to do an F here.
Whatever.
Failure.
The Okay, so if I subtract one apple I got two apples. I subtract one apple from the other apple. How many apples do I have?
So, this is where you guys fail. You You're going forward when you should be going backward. Engineering is the application of physics is the application of math is the application of language, linguistics. Structured language. Most of you I ask you I got two apples. One apple subtract one apple from the other apple.
How many apples do you have?
This is where we you guys go to to the to the physics part in PLUM, P. You should go to the L part, language.
If I subtract one apple from the other apple, how many apples do I have?
Two apples. Most of you say one or you say zero.
You have two apples. The apples did not disappear. The apples are still here.
They never went anywhere.
So, I go let's go to the L part, language, cuz you guys are going to the physics part.
You're like, "No, if you're in if you're in sub quantum mechanical space, the apple the apples wouldn't exist in subatomic space. There isn't The apples are created by subatomic space. They wouldn't exist." You're going You're going the wrong direction.
You're a mental patient.
>> [snorts] >> You go to the L.
So, let's go to the L. I have two apples in a container.
I remove an apple from the container.
How many apples remain in the container?
That would be 2a - 1a = 1a apple remaining in the container. A linear function.
A linear equation, sorry. A linear equation represents that physical phenomena, that relation.
How many apples remain?
There's still two freaking apples.
There's just one in the bucket now, and one not in the bucket, container, whatever.
There is still two apples.
So, English language, not English degree or anything, it's just language, your language. Understanding your language.
Mathematics is the application of the language that you guys don't know. You don't understand anything. You guys on here, you leave these unedited comments, you don't punctuate, you don't know the definitions of the words you're saying, it's pathetic.
You think that someone at my level of education should entertain somebody that can't even spell check their sentence?
It's And then you guys start using AI to do it all for I can tell immediately those of you who are using AI to edit your sentences. I'm an author. I write for a living. You guys can't trick someone like me.
I have an expert eye in language.
So, first First, you have the L, okay?
Language.
And And the easiest way to to learn mathematics the easiest and fastest way to learn mathematics is to abandon your ideals.
You are not right about anything. You know nothing. So, first, let's put that on the table. Abandon your thoughts. You know nothing. And And And have respect for the fact that I also was in your shoes, and I also knew nothing, and I also am an egotistical, arrogant prick.
And I also thought that I was right about everything, and I also defied the professors and didn't listen to them. I also did what you do.
And then I grew up. You know why? Cuz I started college at 24 for math. You started at 18. By the time you fail, you'll be my age.
If I had I gone to school at 18 for math or physics, I would have been just like you, a failure.
I went for psychiatry and business and I did not succeed. I failed at those cuz I it's not for me.
And I did math and physics and I excelled and I did the same thing you guys did through calculus using YouTube videos and then I realized how much it was destroying my education and I stopped. I grew up. I learned because I was older than you. My brain developed.
I was no longer an immature little twerp.
Cuz until I was about 28, I was a egotistical, disrespectful, irresponsible jackass.
I I was you, okay? So, you guys get mad at me. I'm talking about myself all the time in these videos when I was your age. I know exactly who you are. You are me. I am you.
I'm no longer you. Now, I'm the professor that was trying to tell me to stop acting like you.
>> [snorts] >> It's a It's a It's the karmic repercussion of being a douchebag. I have to talk to other douchebags. Try to pull a douchebag out of the bucket of douchebags every once in a while.
Do you guys even know what a douchebag is?
It's a It's a device to clean out your your bottoms.
You have the dualistic holes on a female.
Squirt, squirt. Flush, flush.
Douchebag.
So, the easiest and fastest way to learn mathematics is to first understand what math is. Math is a language. It's the application of language and it's a structured language based on definitions and theorems. The theorems are comprised of the definitions. The definitions are made up with the properties and rules and axioms and things like that and laws.
And those are made of words which have their own definitions which change from dictionary to dictionary. And you have to make sure that you're on point with what definitions these words are.
As you saw, uh some of you were in a live feed where we looked at the definition of a word from like three different >> [cough] >> three different got three different sources.
Essentially, the synonyms were it was like synonym definitions. They're essentially similar, but for what we were doing with math, we had to use the definition from the Cambridge dictionary or whatever cuz that would that definition lined up with what we were doing, but the definitions from like Webster or whatever else that they didn't line up exactly. It didn't quite make sense.
>> [snorts] >> So, at first you need to understand what math is. If you want to learn math, you need to understand what it is cuz the majority of you think that the application of arithmetic and physics is math.
That's not. It's a consequence and an application.
Math is a language. It descri- Some of you again I I had a friend he was in his 70s. He died recently. He's one of my good friends.
75. Most of my friends are in their 60s and 70s, guys. I don't really hang out with people my age cuz I I I I I started becoming an adult when I was like 12. I'm just like 20 years ahead of most of you.
Um and I talk to kids all day in college and I talk to people twice whatever 20 30 years older than me.
My friend it but I what my point is is that they're 23 30 years older than me.
They by default think that they're right, but they're wrong all the time. And so, I'm trying to explain to my friend, you know, he's he spent 20 30 years studying philosophy books, non-fiction garbage, gibberish. Doesn't know anything, but he felt like he spent 20 years of his life becoming an evolved person and then at the end of the show he's like, "What a waste spending 20 years reading these crappy books by deranged people writing nonsense."
And I tell him I I go, "Dude, I'm trying to explain to him that math is a language." He's like, "How is math a language? How How is math a language?" I go, "Because you use it to tell stories."
"What do you mean?" I go, "Well, if I if I if I explain with English what this is, it's a pair of spectacles.
It's a pair It's a pair of glasses. It It's got a frame. It's got glasses It's got glass that's that's uh shaped and that makes the lights refr- refract uh the angle of reflect the the the corrective lens Whatever. I can use English to describe these, right? Or I can use math. I can write a system of equations that will describe these glasses. I I could go into a parametric a graffer and write a system of equations modeling these glasses to near precision.
That's math. So, I use math to describe these things precisely.
And then we use math to predict outcomes. So, I can use English to predict outcome. If I drop these glasses and I am on Earth, the glasses will fall.
Now, I can use math to predict that outcome with precision. I can use math and apply it to physics to describe the motion and behavior of these glasses and tell you the outcome.
I can do that with English, too. It's going to fall at 9.8 m/s squared until it stops falling.
So, math is a language that describes things. You use it to describe things.
So, there's no physics involved in math.
You can do math without physics, but you can't do physics without math. So, you learn the mathematical construct of the language, then you can talk about applying it to physics and business and other things. So, now that we understand that, now we understand that math is a language.
Now, we can get down to how do you learn it quickly?
Well, now you got to choose which language you want to learn within math because math language L, just like communication like this, are you going to learn France French, Spanish, Indian?
What dialect?
Is it South India, North India, East India?
What's the dialect? There's languages within languages within languages. And you use that language to explain mathematics, which is an array of languages within languages.
>> [snorts] >> So now we have to ask ourself what subject do you want to learn in math? Cuz math, you can't learn math.
You can learn a subject. A mathematical subject.
Linear algebra is a topic. You can't learn linear algebra. You can learn David Lay's linear algebra. You can learn Gilbert Strang's linear algebra.
You can't learn calculus. You can learn Thomas's calculus. You can learn Stewart's calculus.
So let's say that you want to learn math. In general, there's a flow, algebra, trigonometry, the fusion of those two things, then the fusion of that into calculus, then the fusion of calculus into differential equations and linear algebra and multivariable calculus, and then the applications of it in physics and da da da da da da da da da da da da da.
That's That's your engineering physics path.
Your mathematical path, if you're a math major, you're going to go into into mathematical theory, abstract algebra, modern algebra, all these different courses. If you're in physics engineering, you're going to continue applications of three-dimensional vector calculus because you're working in a three-dimensional world.
Computer scientists will go into the nth-dimensional world in the computer.
Mat- Physicists and engineers pretty much stay in three-dimensional space.
And mathematicians explore all dimensions.
So So in order to understand mathematics, the fastest and easiest way to learn mathematics, you first understand what subject do you want to learn. In order to do calculus, you must understand algebra. So let's Let's say you want to learn linear algebra differential equations. That's your goal. We'll start at college algebra then.
So then the fastest and easiest way to learn this is slowly. Slowly. When you learn math, you're going up a hill, a very, very steep hill.
You'll get to a point, a click factor point. That's when you're at the top of the hill. It's a click factor. Then the learning curve is downward slope and you just slide right into it.
So, like most of you haven't even started climbing climbing up the mountain yet.
You know, someone like me is way on the other end just sliding through cuz I can take any tech That's what I do with Plumbers Academy. I take any textbook that I've never seen before and I take a question from it and I show you how to use the textbook to solve that question in that book with the book the book the book the book.
Because I'm at that downward slope. I went through the hump. I had the click factor and I went sliding down. I got a lot of experience and now I'm just see, I can do anything. I can just open this stuff up and just adapt to it real quickly. I'm the perfect kind of person that a company is looking for. Someone who actually is educated because I can adapt quickly to new software, new things, new ideas, new math, which is what they need. They don't need you to apply the math you learned in college.
They need you to apply the math or science that you're going to learn on the workforce quickly. They need you to pick it up quickly and apply it quickly.
That's your objective. When you guys use AI and Khan Academy and teachers solution manuals and private tutors, you will never climb up that hill. You'll stay at the base. You're just have somebody at the top of the hill shouting crap down to you, dropping crap down to you and you're like, "Thanks. I'm going to cheat."
So, anyways, >> [sighs] >> you start at algebra, okay? At the pre-algebra portion, the prerequisite portion.
Most of you have enough knowledge of algebra where you can open a college algebra book and go to the prerequisite chapter. Should take you about 1 to 6 months to understand that first chapter, the prerequisite chapter of an algebra book. About 1 to 6 months to fully understand it.
Which is why they give you three semesters. Depending on where you start, you have algebra 1, algebra 2, algebra 3, then college algebra.
Because it takes years to understand the prerequisite stuff.
The prerequisite chapter in the college algebra book is your 18 years of high school and middle school. That's the one chapter in the college algebra book, the prerequisite is your entire 18 years in daycare.
If you've already gone through your daycare and you're now 18, you go to a college algebra book. Any of you guys listening to me that fancy yourselves mathematicians that are in college, go read the prerequisite section of a college algebra book. It will wake you up real quick.
I I think I I had somebody that was working with me and I advised them to go to the prerequisite section of a college algebra book and they're trying to learn really advanced math and physics and they just decided, "You know what? Math is not for me anymore."
Cuz when you guys go look at the prerequisite section of a college algebra book, you're going to find out real quick that you know absolutely nothing about math.
You're in linear algebra differential equations, go look at that prerequisite section, you'll find out you know nothing.
You don't know anything about math.
You're just copying other people's work and passing it off as your own and you think you're getting somewhere. You know nothing.
So, the fastest and easiest way to learn math is to first master the prerequisite chapter of a college algebra book, okay?
After you master that chapter, once you can go to any problem in that chapter and answer it, then you can start to slide through these books really quick.
You start at paragraph one.
You do not move to paragraph two until you completely understand paragraph one.
Once you fully understand paragraph one, you then move to paragraph two and repeat. You do the same thing when you get to the examples. Example one, you do not move on to example two until you can do example one from memory. How are you going to do it on a test if you can't If you leave it without being able to do it from memory, how are you going to be able to do it from memory weeks from now?
Mathematics is a chain a chain link, okay?
Each section is a chain a link, okay? And as a as a chain is built, you have to account for the weight that's added with each each link.
Because the weight the the stress that is being put on the first link, if you're holding a chain down, each link you add, that first link needs to be the strongest. That's the prerequisite section of a college algebra book. Most of you guys you just kind of tied your your chain around a a loose nail and the more weight you add on to it, it's going to pull that nail out and just fall to the ground. That's your Khan Academy AI education.
A broken link chain, whatever.
>> [snorts] >> So, there's only one way to learn math, guys. Girls. T-girls. T-boys. There's only one way to learn math.
Because you can only learn one subject at a time and the subject is the textbook is the subject.
You have Stewart's precalculus or Sullivan's algebra and trigonometry.
Essentially the exact same topics, exact same material, two different subjects.
You choose one of those, you start at paragraph one and you don't move to paragraph two until you completely understand paragraph one.
Once you go through all these textbooks like that, you go through algebra, trigonometry, precalculus, calculus one, calculus two, calculus three, vector calculus, linear algebra, differential equations, physics one, physics two.
You guys are given like 10 different textbooks freshman and sophomore year that you're supposed to read like that and none of you do it and you wonder why only one out of 100 people succeed in these degrees. The rest of you just wasting your time. If you haven't started doing that, you either need to start doing it or switch to business.
You're never going to graduate. You're never going to work in this field. You can't read a textbook, you're in the wrong place. Seriously. There's nothing to argue about. You're just in the wrong place.
You are a basketball player trying to become a professional swimmer if you are not using the textbooks, okay? So, just leave this field if you can't do that.
You're wasting your time. I'm not trying to make you feel bad about yourself. I'm trying to give you a reason to thank me down the road. Thank you for pointing this out to me. I didn't realize that if I don't know how to read a textbook and use a textbook that I'm in the wrong degree and I'm wasting my money.
And you're upset cuz your advisors didn't tell you this. Your professors didn't tell you this. Why would they tell you this? How are they going to pay their bills if if you have a reality check?
So, anyways, the fastest and easiest way to learn math is to take it very slowly.
Very slowly. The slower you take it, the faster it will go.
It's the tur- tortoise and the hare situation.
You'll get to You'll get to the the slower you take it at first, the faster you'll become an expert like me and you'll be able to just open up books and just do whatever.
I know some of you are thinking, but I'm in college. It's a 16-week crunch. How am I supposed to do that?
It's called being prepared, punctual, integrity, consistency.
You should be 2 weeks ahead of the semester before it starts.
You should be working about 10 hours a day, 6 days a week while you're in college. And you should be treating it like a career, a professional job. 9:00 to 5:00 type stuff, professional work, slowly prepared.
You have plenty of time to do this, but most of you wait until the second or third week of college to open your textbook.
You're already failed at that point.
It's over with.
Then you start scrambling with cheating platforms to try to to defraud the government of financial aid by cheating.
And you're ruining your future and you're becoming a criminal in the process. All you have to do is become a mature person and treat college like a career and be prepared.
Those of you who are amateur mathematicians and hobbyists, you have the You have the uh pleasure or the um luxury of not having to deal with a schedule like that. You can go as slow as you want. So, if you're an amateur hobbyist mathematician, my recommendation is that you go as slow as you can.
You don't move to a next paragraph ever until you completely understand that first paragraph. Those of you who are in college, you need to be prepared. You need to stabilize your schedule. You need to stop farting around playing video games with your friends, wasting your future. You got a short window to turn your future into something bright and you are destroying it because you're letting your ego and your misinterpreted survival instincts take over your future.
If you're in college, I highly recommend if you're in college for STEM-related degree, I highly recommend that you pack up those video games and send them back home. Throw out your vaporizers and your high fructose corn syrup. Stop eating cereal and milk.
Start learning how to cook for yourself and treat it like a career, Monday through Friday, 8:00 to 8:00.
Take Saturday off and enjoy your life.
Sunday is a preparation day to get ready for the week. You guys know my study routine.
You guys Those of you who want to get a job, you need to show a future employer that you're capable of working hard.
Okay? Those of you who skip lecture will never do that.
Those of you who use AI and Khan Academy will never get a job. No one's going to hire somebody that can do that. They can do that You guys understand this?
A company can watch Khan Academy themselves. A company can use AI themselves. A company can use teacher solution manuals themselves. They're not going to hire a person that's a professional cheater.
They can do that themselves.
They're hiring people that can interpret scientific data and apply it in analytical problem-solving skills on demand.
Any of you using Khan Academy or AI are not those people, ever. Never will be.
So, the if easiest and fastest way to learn math is to take it very slow at first.
You have to go at your own pace. You can't See, you can't speed it up is what I'm saying. You can only learn it at the pace you're capable of learning it at, and the slower you take it at first, the faster it will go down the road.
That starts with the prerequisite section of a college algebra book.
And any of you who are listening to this that are in calculus or higher, I advise you to go open a prerequisite section of a college algebra book and have a reality check that you don't understand a damn thing that you're doing.
You don't know anything about math.
You're just copying other people and passing it off as your work. It's called plagiarism. Go back to the college algebra book and read that. And if you come back to me and say, "I read it. It didn't seem that difficult." That means you didn't understand a damn thing.
Stop listening to your misinterpreted survival instincts, okay, kid?
All right, kids. That's my two cents on the easiest and fastest way to learn mathematics. We'll talk about physics next, maybe. Have a nice day.
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