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In the 'real world', the purpose of a course of study in pre-calculus is to prepare the student for a course of study in Calculus.
Study the proofs of each chapter in your book, also the solved examples related to them. Read the definitions carefully. Practice systematically.
In the 'real world', the purpose of a course of study in pre-calculus is to prepare the student for a course of study in Calculus.
I would say that yes, it is highly possible. I did have some introductory calculus in high school, but most of what I know in that subject I learned later from personal study. I ~strongly~ recommend a book called "The Humongous Book of Calculus Problems", by W. Michael Kelley. It gives over 1000 questions, each with a well-written walk-through on how to do it, with progressive difficulty right from algebra refreshers (eg. factoring polynomials), right up to second year calculus.
In my opinion, the best one out there is "The Humongous Book of Calculus Problems", by W. Michael Kelley. It contains one thousand questions from warm-up algebra to second year calculus. With each question he walks you through solving it, explaining why it works and providing a battery of explanations and tips. I learned a ~lot~ from that book, enjoyed it thoroughly, and recommend it to anyone who wants to learn calculus or take a refresher.
Calculus on Manifolds - book - was created in 1965.
Rates of change
The liberal arts majors do not usually require calculus
Yes calculus is a type of math that deals with the study of continuously changing quantities.
Because calculus is lots of fun! Also because it is useful in science and engineering.
Calculus is the study of instantaneous and cumulitive growths of functions with respect to two or more variables. Trigonometry is the study of angles, specifically in triangles.
Calculus is the mathematics of trajectories. I would recommend a Calculus class as it is very difficult to understand independently.