search results for: “ap calculus”
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ap calculus review: discontinuities
what’s a discontinuity? any point at which a function fails to be continuous is called a discontinuity. in fact, there are various types of discontinuities, which we hope to explain in this review article. points of discontinuity the definition of discontinuity is very simple. a function is discontinuous at a point x = a if…
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ap calculus review: disk and washer methods
the disk and washer methods are useful for finding volumes of solids of revolution. in this article, we’ll review the methods and work out a number of example problems. by the end, you’ll be prepared for any disk and washer methods problems you encounter on the ap calculus ab/bc exam! solids of revolution the disk…
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ap calculus bc review: ratio and root tests
the ratio and root tests are indispensable tools for finding out whether a series converges or diverges. these tests also play a large role in determining the radius and interval of convergence for a series of functions. in this article, we will discuss how the ratio and root tests work. in addition, you’ll see a…
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ap calculus bc review: geometric series
what is a geometric series? a series is the sum of the terms of a sequence. what makes the series geometric is that each term is a power of a constant base. for example, each term in this series is a power of 1/2. equivalently, each term is half of its predecessor. whenever there is…
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ap calculus bc review: radius and interval of convergence
this article reviews definitions and techniques for finding radius and interval of convergence of power series.
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ap calculus bc review: taylor and maclaurin series
taylor and maclaurin series are like polynomials, except that there are infinitely many terms. read on to find out what you need to know for the ap test!
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ap calculus bc review: absolute and conditional convergence
did you realize that there were different kinds of series convergence? in this review article, find out about absolute and conditional convergence.
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ap calculus bc review: series fundamentals
a series is the sum of a sequence of numbers. we’ll review the series fundamentals and give a few example problems from the ap calculus bc exam.
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ap calculus bc review: series convergence
a series is the sum of infinitely many terms. but how can you add up an infinite number of things? click here to learn about series convergence!
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ap calculus bc review: alternating series
an alternating series is one in which the signs of the terms switch between positive and negative. so it’s important to know how to work with them.