# People Say this is the WORST Thing About Math, But It's Only Partially True

## Метаданные

- **Канал:** The Math Sorcerer
- **YouTube:** https://www.youtube.com/watch?v=ruViJ_57z2w
- **Источник:** https://ekstraktznaniy.ru/video/41246

## Транскрипт

### Segment 1 (00:00 - 05:00) []

really bad thing about mathematics and this is going to be a short video. I just want to mention this is that it is unforgiving. And this is true not just for mathematics but for most hard subjects for physics, for engineering, for computer science. I mean they are unforgiving subjects and so if you don't use it, you will lose it. It's kind of like going to the gym. You know, if you stop going to the gym for, you know, a long period of time, what's going to happen is your strength is going to decline. Your muscle mass You might put on some fat. So, your physical being will decline if you stop exercising. It doesn't have to be the gym. So if you were running and you stop running, you're you know, it's you're going to go into a decline. And the same thing happens mentally when you study hard things like mathematics, physics, computer science, and engineering. And I think that the best way to stop is to periodically just do a little bit. You know, this is something that I was aware of early on, even when I was in undergrad. I knew that it was a thing. It was a danger. You know, I knew that, hey, wait a minute. I'm going to forget stuff. You know, I had learned stuff in previous math classes and then fast forward a few semesters to a new math class and I had forgotten that material, you know, it was gone. And so it was always a struggle to review old material and at the same time learn new material and keep up. And the truth is you never really get there. You just do a little bit every day and some stuff sticks and some stuff doesn't. And over time the machine compounds, the knowledge machine compounds and you learn more and more. And I think the message for this video is be consistent in your learning. And that's the solution to the fact that mathematics, physics, computer science, engineering is so unforgiving. You just be consistent and try not to worry so much about how much you're going to forget. Because I know there's a lot of you out there that probably think about that. I know that I'm not the only one in my thoughts. person in the world to say, "Hey, wait a minute. What about all that math I learned? What if I forget it? " The good news, the good news is this. When you review old math that you've learned in the past, it comes back really quick. Really, really quick. If you sit down and you go over a proof that you did in a class 5 years ago that you already knew how to do, it's going to come back really, really quick. So yes, mathematics is unforgiving. Yes, physics, computer science, and engineering, these are all unforgiving, harsh subjects where you can forget everything. But you know it comes back quicker than you think. And you know it's because your mathematical maturity has increased. So is the ability to learn new mathematics. In my view, it's the ability to pick up a math book on a subject that you've never seen or a subject that you maybe forgot or glanced at and absorb that new mathematics. You know, le let's say you've never learned functional analysis and you pick up the book by Kryzig. That's a really good example, I think, because from personal experience, I use Kryzig, which is a very easy book on functional. when I took it. And when I took that class, because my mathematical maturity was so high, I was able to get an A and it was an easy A. I struggled, but I was able to read the book, [clears throat] read the examples, fill in the details and the proofs on my own, do most of the exercises, not all. I do the homework problems and a couple more. Some of them I thought were kind of hard, so I'd skip them, but I did pretty good. Whereas the rest of the class was struggling. And

### Segment 2 (05:00 - 10:00) [5:00]

you say, "Why? Because I'm so smart. " No. It had nothing to do with that. It had to do with the fact that I was at a higher level than they were. Because I had more mathematical maturity. Not because I'm smarter, but because I had more experience. And I think that's the thing that people forget. A lot of people think, "Oh, I'm so good at math. I'm so smart. " Yeah. Because you've seen it. Because you've done it. It's very hard to compare a person's natural ability I think with another person because people have different backgrounds they have different mathematical experiences and I don't want to derail too much but the point is mathematics is unforgiving and so the more you do even yes even though you will forget stuff your mathematical maturity will increase and you'll be able to learn new math better recall that math you forgot better. And I think at the end of the day, it's okay. So, stop worrying about all the math you're going to forget because I remember I used to worry about that all the time. And over the years, I've come to learn that you remember, you know, teaching mathematics, if you ever get to the point where you teach math, that's the best way to review. You review so much basic math, basic calc 1, 2, and three, algebra, and you realize that you didn't really know it the way you know it now when you teach because you have to explain to people and you have to read the book and you know you because you have to make your own notes. And so you really have to know every detail and what's correct and what's not correct. And so it increases your learning tenfold and it increases your mathematical maturity so that when you see new math, you're able to learn it quickly. And the same is true for all fields, right? The more coding you do, the more languages you have experience in, the easier it becomes to pick up a new language, the more computer experience you have, you know, the easier it is to learn new things. Same in engineering, same in physics, right? The more you do of anything, you get better at that thing as a whole. So, stop worrying about forgetting things. Stop worrying about, you know, what if I don't learn everything. Just learn as much as you can and realize that there's always tomorrow and you can always keep learning and you always will keep learning, my friends. And that's the message for this video, right? So, yeah, it is unforgiving. It is. But, you know, that's kind of a dark view. You know, I do think it's a dark negative viewpoint because like I said, yes, it's unforgiving, but the more math you do, it comes back really quick, right? It comes back really, really quick. And you can be very good at it. And again, the more you do it compound. And it's weird because you'll forget it, right? You'll forget the math and you'll think, "Oh, I forgot it. I'm dumb. " But then when you start doing it again, you're like, "Oh, oh," and it just comes back so quick, my friends. So don't stress about that. If you want to learn mathematics, the best way is to do it every day, you know, every day. Do a little bit every morning. And I have courses that can help you do that. They're on Udemy, which is a reputable place for courses. But if you get them, please use the links from my website which is linked in the description or direct links from the description as it helps me greatly. I've got courses on calc 123, differential equations. These are all on Udemy which is a reputable place for courses, but please use my links otherwise they take a huge cut. Calc 123, differential equations, advanced calculus, abstract algebra, trigonometry, as well as some others. I've got books, tons of books in English and in Spanish, math books, motivational books, links in the description. And don't let the negative people who say mathematics is unforgiving, like I just did it is unforgiving, ruin your day. Because even though it's unforgiving, it compounds, right? Like it's like when you take a break from working out for a while and you lose pounds on your bench press, you know, and you come back to the gym, you start training again. It comes back pretty quick. They call it muscle memory, right? It might take a couple sections, a couple weeks of clean eating and rest. Rest is important, right? Rest and recovery. Same thing with mathematics, right? It comes back. So don't let fear hold you back from learning something. Don't let fear make you think you're never going to get better. You know, it compounds quickly. And

### Segment 3 (10:00 - 10:00) [10:00]

mathematical maturity is a real thing. So yes, it is unforgiving. If you don't use it, you will lose it. But it comes back so quick, my friends. So quick. What do you think about this? Do you think it comes back quick? I know it's unforgiving. You know, I I used to I remember spending when I was a student, I would purposely go back and review stuff because of my fear of forgetting. And then at some point, I stopped caring. realized, hey, you know what? Whenever I go back and review stuff that I forgot, it comes back like that. Super quick, man. Super quick. So, don't worry about it. Um, just get after it every day. Train your mind, train your body, and as always, stay strong, my friends.