65. Differential Thinking
Jun 1, 2026 · 17 min · 10 segments
\# problem solving
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Jun 1, 2026 · 17 min · 10 segments
\# problem solving
Um, anyway, I feel like from studying physics for, like, two years now, I feel like one of the main things that I've learned or the, the pattern that I've started seeing and the pattern people, some other people tell me is, um, like, I guess dealing with vectors or symmetries and, like, some patterns, I suppose.
And I li-- I think I like to call this, like, differential thinking, and the reason I call it differential thinking is because in some integrals or in some problems in general, in, in my math homework or my physics homework, I should say, I'm literally tasked to set up integrals of, of li- maybe, for example, maybe surface area.
Maybe I'm tasked to solve the integral of surface area of something.
And this is actually, I think, a very good thing to start getting into, and I think it teaches you about vectors, and it teaches you where things come from, so it's-- I feel like it's a really fundamental way to, to think about things.
Um, but, but the, um, the thing is, it's not easy or it, it doesn't make sense what this is so much.
So let's talk about there's maybe one or two examples I'm gonna go over right now, and let me study them real quick so I don't mess up how I say this.
Um, anyway, I feel like from studying physics for, like, two years now, I feel like one of the main things that I've learned or the, the pattern that I've started seeing and the pattern people, some other people tell me is, um, like, I guess dealing with vectors or symmetries and, like, some patterns, I suppose.
And I li-- I think I like to call this, like, differential thinking, and the reason I call it differential thinking is because in some integrals or in some problems in general, in, in my math homework or my physics homework, I should say, I'm literally tasked to set up integrals of, of li- maybe, for example, maybe surface area.
Maybe I'm tasked to solve the integral of surface area of something.
And this is actually, I think, a very good thing to start getting into, and I think it teaches you about vectors, and it teaches you where things come from, so it's-- I feel like it's a really fundamental way to, to think about things.
Um, but, but the, um, the thing is, it's not easy or it, it doesn't make sense what this is so much.
So let's talk about there's maybe one or two examples I'm gonna go over right now, and let me study them real quick so I don't mess up how I say this.
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