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Is trigonometry part of calculus?
It is certainly used in calculus, just as calculus can be used in trigonometry.
What does infinitesimal calculus mean?
Infinitesimal calculus pretty much means non-rigorous calculus, i.e. calculus without the notion of limits to prove its validity. When Newton and Leibniz originally formulated calculus, they used derivatives and integrals in the same manner that they're still used today, but they provided no formalism as to how those techniques were mathematically valid, therefore causing quite a debate as to their worth. The infinitesimals themselves simply had to be accepted as valid, in and of themselves, for the theory to work.
How does one postulate in mathematics?
Postulating in mathematics is simply stating stating or assuming something, usually an equation, to be true without having to prove it. This aids in the development of new mathematical theories. Commonly used postulates are Einsteins theories and his laws of the physics.
Is calculus used in quantum physics?
yes it is
What is a point of explosion in calculus?
I don't think such a term is used in calculus. Check the spelling. Perhaps you mean point of inflection?
