ShortCutulus
The study of calculus shortcuts. These are also often denoted as types of operators or just methods which you just have to accept work and don't ask the professor why or you'll be more confused.
In differential equations, you learn weird shit that just looks like complicated algebra, but it's actually just calculus shortcuts. The proofs are often just long and complicated, but in the end, get you to a new operator that skips a lot of calculus steps.
It usually seem convoluted but makes it easier for humans to compute since calculus is too much work for monkeys.
Examples: Abel's Theorem, Characteristic Equations, Laplace Transforms
In differential equations, you learn weird shit that just looks like complicated algebra, but it's actually just calculus shortcuts. The proofs are often just long and complicated, but in the end, get you to a new operator that skips a lot of calculus steps.
It usually seem convoluted but makes it easier for humans to compute since calculus is too much work for monkeys.
Examples: Abel's Theorem, Characteristic Equations, Laplace Transforms
"Laplace Transforms literally make no sense. Why are we even doing them, they seem pointless"
"Oh yeah, instructors don't tell you it's just shortcutulus so you just accept it as useful even though it seems pointless for now"
"Oh yeah, instructors don't tell you it's just shortcutulus so you just accept it as useful even though it seems pointless for now"