Series in calculus are important for many reasons. One of them is the ability to differentiate or integrate a series that represents a function much easier than the function itself.
Calculus was invented to solve physics problems, so the importance of studying calculus is to solve physics problems.
xtau
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Hence the reason for why it is called Vector Calculus, Vector Calc. is simply an expansion in the calculus subject are in math. It deals with Taylor's Formula (in calc 2 you learn the taylor polynomial and the taylor series), theorems from Green, Gauss, and Stokes, and much more.
Its importance is tremendous - it has many different applications. Some of the applications include calculation of area, of volume, moment of inertia, of work, and many more.
50 APPLICATIONS OF CALCULUS
Calculus was invented to solve physics problems, so the importance of studying calculus is to solve physics problems.
xtau
In calculus, you say that a series or integral converges if it has a finite value. If it does not converge, the series or integral usually diverges to infinity (that is, it does not have a finite value such as 3, -8, 67 etc.,)
It is usually the third class in the calculus series ,so it is often taken in the second or third semester.
calculus is very interesting subject . and in computer science it is as important as programing. a good programer must have tight grip on mathematics especially on calculus because it,s help a lot in programing logic
Physicists, chemists, engineers, and many other scientific and technical specialists use calculus constantly in their work. It is a technique of fundamental importance.
Short answer: They're similar, but Calculus AB covers a bit more (and goes more in-depth) than Calculus 1. Long answer: The AP Calculus AB test covers differentiation (taking derivatives) and early integration (taking antiderivatives), including the concept/applications of an integral and integration by substitution. In college, Calculus 1 covers mostly differentiation and Calculus 2 covers additional strategies for integration and series. I like to think of it like this: A = Differentiation B = Integration C = Series So Calculus AB covers differentiation and integration and Calculus BC covers integration and series. College is more like: Calc 1 = A Calc 2 = B&C Of course, this depends on how much you cover in high school and college.
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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.
Those are among the most fundamental concepts in calculus; they are used to define derivatives and integrals.
Hence the reason for why it is called Vector Calculus, Vector Calc. is simply an expansion in the calculus subject are in math. It deals with Taylor's Formula (in calc 2 you learn the taylor polynomial and the taylor series), theorems from Green, Gauss, and Stokes, and much more.