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Basic concept of differential and integral calculus
Basic concept of differential and integral calculus

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...  Understand and apply the Pythagorean Theorem  Develop strategies for finding the distance between two points on a coordinate grid  Explain a proof of the Pythagorean Theorem  Use the Pythagorean Theorem and its converse to solve a variety of problems  Use the Pythagorean Theorem to find the eq ...
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Linear Approximation and Differentials Page 1 Example (3.11.8)

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Number Theory I: Divisibility Divisibility Primes and composite

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Math 141

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A Pisot number (or P.V. number) is an algebraic integer greater than

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Prime Numbers and Irreducible Polynomials

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the review sheet for test #2

... 1. Definitions: A function f is a rule that assigns to each element x in a set A exactly one element f(x), in a set B. The set A is the domain of the function. f(x) is the image of x under f. The range is the set of all possible values of f(x) as x varies through the domain. 2. Know how to evaluate ...
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... Consequently, F2 and G2 are algebraic functions over F2 (X), as claimed. On the other hand, it is easy to infer from Equations (2.4) and (2.5) that F and G are not rational functions. This follows from some easy considerations involving the degree of rational functions. This also follows from other ...
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Fundamental theorem of calculus



The fundamental theorem of calculus is a theorem that links the concept of the derivative of a function with the concept of the function's integral.The first part of the theorem, sometimes called the first fundamental theorem of calculus, is that the definite integration of a function is related to its antiderivative, and can be reversed by differentiation. This part of the theorem is also important because it guarantees the existence of antiderivatives for continuous functions.The second part of the theorem, sometimes called the second fundamental theorem of calculus, is that the definite integral of a function can be computed by using any one of its infinitely-many antiderivatives. This part of the theorem has key practical applications because it markedly simplifies the computation of definite integrals.
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