Great notes. Now my question is whether there's some sort of standard for what's in Calc 1, 2, 3...
I've seen a number of people on the internet refer to them, but it doesn't seem clear to me what the numbers mean. Wouldn't this be different depending on where you were? And yet people talk casually about the numbers instead of the topics (first order diff eqs).
I'm European, did my degree in the UK, and never came across any standardized numbering.
I have tutored people taking Calc 1, 2 and 3 at several universities in the US.
There's no exact standard that I'm aware of, but they tend to closely align at different universities. Dividing James Stewart's Calculus into three parts is a reasonable guide: you can see the contents on Amazon preview.
I'd expect solving first order linear differential equations would be solidly in Calc 2.
For the most part people talk about calc in the following way: Calc 1 is differential calculus (and maybe basic integrals), Calc 2 is integral calculus, and Calc 3 is multivariate calculus (plus potentially vector calc).
Differential equations are usually a separate topic split into ODEs and PDEs.
I've seen a number of people on the internet refer to them, but it doesn't seem clear to me what the numbers mean. Wouldn't this be different depending on where you were? And yet people talk casually about the numbers instead of the topics (first order diff eqs).
I'm European, did my degree in the UK, and never came across any standardized numbering.