Calculus catch phrases:
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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 concepts in calculus. Without the knowledge from precal, calculus would not be easily understood, as it is taught in schools today.
Some people find calculus easier, others find physics easier. There is no general answer.
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 mostly focuses on the algebra necessary to perform those operations, with perhaps some introduction to limits or other simple ideas from elementary calculus.
Some high schools have a class called "math analysis" which is before calculus, so yes. To mathematicians, however, "analysis" is a synonym for "modern" calculus, and as such, there are classes usu. taught at universities with a similar name, but far beyond basic calculus.
There are several meanings to the word 'calculus.' The plural for calculus is 'calculi.' There is no plural for the calculus we use in mathematics.