Stats is intuitive but you need a pure math degree to even get started on the foundations (measure theory). Unintuitiveness arises in any subject where they refuse to explain how it works and just give you a bunch of magic formulas to calculate with. Stats just happens to be the most egregious example of this because it requires far more background than most people applying it actually want.
Diff EQ just turns into TOO MUCH FUCKING ALGEBRA at the end though. It’s never that it doesn’t make conceptual sense, it’s just they throw obnoxious integration by parts and fucking fraction decomp.
You never mess up because you didn’t understand the problem/what you were supposed to do. You mess up because you’re supposed to accept that 1/194737 is a perfectly acceptable coefficient to have and there’s no way of telling if you dropped a sign 10 steps ago.
I had an idiot-savant professor that could do Diff EQ in his head, and didn’t understand why all of us couldn’t do it. We would all get D’s and F’s on every test. If was passed down that people have to go to the dean to curve the final grade every semester, and ever semester he would get angry at not being able to fail almost the entire class.
Stats is the most unintuitive and unpleasant part of math. Trig is a fun problem that nests perfectly into physics
Stats is intuitive but you need a pure math degree to even get started on the foundations (measure theory). Unintuitiveness arises in any subject where they refuse to explain how it works and just give you a bunch of magic formulas to calculate with. Stats just happens to be the most egregious example of this because it requires far more background than most people applying it actually want.
Stats by hand is worse than diff EQ. You are right, it’s so unintuitive. I just let R-Studio decide.
Diff EQ just turns into TOO MUCH FUCKING ALGEBRA at the end though. It’s never that it doesn’t make conceptual sense, it’s just they throw obnoxious integration by parts and fucking fraction decomp.
You never mess up because you didn’t understand the problem/what you were supposed to do. You mess up because you’re supposed to accept that 1/194737 is a perfectly acceptable coefficient to have and there’s no way of telling if you dropped a sign 10 steps ago.
I had an idiot-savant professor that could do Diff EQ in his head, and didn’t understand why all of us couldn’t do it. We would all get D’s and F’s on every test. If was passed down that people have to go to the dean to curve the final grade every semester, and ever semester he would get angry at not being able to fail almost the entire class.