An existence result for a superlinear fractional differential equation
... where A : [0, +∞) → R is continuous, has a solution in C ∩ L∞ ∩ L1 . It is obvious that (4) leads to (3) for A = −a · [Γ (α)]−1 and y = x0 . The present work is organized as follows. Section 2 contains our existence result regarding the problem (2). Section 3 gives an illustrative example of coeffic ...
... where A : [0, +∞) → R is continuous, has a solution in C ∩ L∞ ∩ L1 . It is obvious that (4) leads to (3) for A = −a · [Γ (α)]−1 and y = x0 . The present work is organized as follows. Section 2 contains our existence result regarding the problem (2). Section 3 gives an illustrative example of coeffic ...
Intermediate Value Theorem (IVT)
... Write the equation in the form f(x) = 0 and find three numbers x1, x2, x3, such that f(x1) and f(x2) have opposite signs AND f(x2) and f(x3) have opposite signs. Then by the IVT the interval [ x1, x2 ] contains a root AND the interval [ x2, x3 ] contains a root. ...
... Write the equation in the form f(x) = 0 and find three numbers x1, x2, x3, such that f(x1) and f(x2) have opposite signs AND f(x2) and f(x3) have opposite signs. Then by the IVT the interval [ x1, x2 ] contains a root AND the interval [ x2, x3 ] contains a root. ...
Limit worksheets - Canvas
... Instructor’s overview – 2 The problems used in the slides below are indicative what level we expect throughout the course. Instructors will want to supplement these with both easier and harder examples as class progress dictates. One goal in providing these templates is to help ensure a uniform lev ...
... Instructor’s overview – 2 The problems used in the slides below are indicative what level we expect throughout the course. Instructors will want to supplement these with both easier and harder examples as class progress dictates. One goal in providing these templates is to help ensure a uniform lev ...
Chapter 7
... An infinite series is the sum of an infinite sequence of numbers. a1+a2+a3+…+an+… The goal of this section is to understand the meaning of such an infinite sum and to develop methods to calculate it. The sum of the first n terms sn= a1+a2+a3+…+an is an ordinary finite sum, is called The nth partial ...
... An infinite series is the sum of an infinite sequence of numbers. a1+a2+a3+…+an+… The goal of this section is to understand the meaning of such an infinite sum and to develop methods to calculate it. The sum of the first n terms sn= a1+a2+a3+…+an is an ordinary finite sum, is called The nth partial ...
Partial derivatives
... Abstract. Partial differentiation is a natural generalization of the differentiation of a function of a single variable that you are familiar with. ...
... Abstract. Partial differentiation is a natural generalization of the differentiation of a function of a single variable that you are familiar with. ...
MATH 52: MATLAB HOMEWORK 2 1. Complex Numbers The
... The prevalence of the complex numbers throughout the scientific world today belies their long and rocky history. Much like the negative numbers, complex numbers were originally viewed with mistrust and skepticism. In fact, the term “imaginary number” was a derogatory term coined by René Descartes, ...
... The prevalence of the complex numbers throughout the scientific world today belies their long and rocky history. Much like the negative numbers, complex numbers were originally viewed with mistrust and skepticism. In fact, the term “imaginary number” was a derogatory term coined by René Descartes, ...
Marianne Kemp math1210spring2012-3
... Assignment HW7 Derivative Applications I due 02/23/2012 at 11:00pm MST ...
... Assignment HW7 Derivative Applications I due 02/23/2012 at 11:00pm MST ...
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.