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Ive done calculus and have finished a college physics textbook

Now I want to know what is next

I've seen many different lists on prerequisites for quantum physics such as multivariable calculus, vector calculus, calculus II, calculus III and so on

is there a course that covers both multivariable and vector calculus or is this better taken separately?

My main question is, are all of these courses separate or should i get calculus II and calculus III textbooks and expect for those courses to cover multivariable calculus and vector calculus in depth? sorry for my ignorance on this topic

and I know this is the math forum but I'd like to squeeze in one last question

i saw this "Classical dynamics:Newton,Lagrange and expecially Hamilton approaches"

for required courses needed for quantum physics, so I assume newton approach wouldn't have been covered in my college physics textbook and is more specific? And does anybody know of a textbook that would teach me this approach? Every search I type in with "newton" in it just gives me a biography of his life in textbooks.com search engine

and also I can not seem to find any textbooks anywhere for hamilton approaches to physics but I do think i've found one for lagrange

thanks for any replies

any help is greatly appreciated