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You can find LOTS of problems, often with solution, by a simple Google search, for example, for "calculus problems". Here is the first hit I got:https://www.math.ucdavis.edu/~kouba/ProblemsList.html
Calculus was invented to solve physics problems, so the importance of studying calculus is to solve physics problems.
Pre-calculus is supposed to be a stringent review of trig and algebra in preparation for calculus. So, pre-calculus, I would say.
In order to solve problems using Calculus, you have to know Calculus.
The purpose of calculus is to solve physics problems.
Sit down and work the problems. Doesn't cost a thing.
Infinitely many.
Daniel D. Anderson has written: 'Student solutions manual for Single variable calculus' -- subject(s): Calculus, Problems, exercises 'Student solutions manual for single variable calculus early transcendentals' -- subject(s): Calculus, Problems, exercises
Analysis is a broader term for Calculus and the theorems behind it. It is studied both with real and complex numbers as real and complex analysis. Usually calculus just deals with the basic problems of differential calculus and integral calculus.
In the 1660s, Isaac Newton developed Calculus to solve certain types of problems. At the same time Leibniz also developed calculus independently of Newton.
Some people find calculus easier, others find physics easier. There is no general answer.
First, you need to learn how to do calculus. This can be accomplished through either taking a calculus class or figuring it out on your own. Next, you apply what you have learned to the problem, eventually arriving at the answer.