Simple answer: Calculus involves derivation and integration, precal doesn't. Pre calculus gives you some of the algebraic, geometric and trigonometric understanding that is required to comprehend the...
Pre-calculus refers to concepts that need to be learned before, or as a prerequisite to studying calculus, so no. First one studies pre-calculus then elementary calculus.
In short, no. Elementary calculus includes finding limits, basic differentiation and integration, dealing with sequences and series, and simple vector operations, among other concepts. Pre-calculus...