>>12266308>wtf is calculusIt is the application of analysis to understand problems that involve continuous change. You can relate smooth change over time to calculus problems.
>what's the difference between analysis and linear algebra?analysis is the study understanding continuous structures, functions, and (at least at the introductory level) metric topology. It allows you to make arguments using bounds and rigorous approximation
linear algebra is the study of abstract linear structure, which is largely about the study of vector spaces. Everything from the space of bounded functions to the space of vectors with real entries , etc., can be understood as a vector space
>why isn't it all called algebraalgebra is the study of fundamental structure as it relates to operations on sets. You get major results that relate basic operations to firm structure that characterizes these sets.
Analysis is more about figuring out how to make sense of how a function sits in a space, or how you can use it to 'control' other functions you care about. Algebra is more about understanding how one set with certain properties relates to another, and how both of those sets can be used to understand other mathematical objects entirely.
>why don't they teach you how to write proofs in high school? almost every one of you is stupid and either wouldn't get it, or you would protest against it. people already do so when they do baby proofs in geometry
>why don't they teach the right notationnotation is trivial and easily picked up
>math is a scamnot understanding something isn't a scam