Simply put, calculus is an intermediate branch of mathematics that deals principally with variables.
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Generally pre-calculus is taken after trigonometry, unless the trigonometry course was supplemented by a pre-calculus course, in which case the next course would be calculus.
Calculus is commonly taken as a first year course in college, but can be taken as an advanced course late in high school through programs like AP Calculus.
In many universities and colleges this is a course covering various topics in physics that avoids using the calculus.
You can fail calculus like any other school subject...you can not study for exams, not do the homework, not understand the course, disturb the class...the possibilities are endless.
Calculus is a branch of mathematics, not something tangible that can be made in a factory or lab. The Calculus we know today is the result of many mathematicians efforts over the course of hundreds of years. the two most notable people to contribute to modern calculus are Sir Isaac Newton and Gottfried Leibniz.