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Calculus (2,317 Books)


Calculus (Latin, calculus, a small stone used for counting) is a branch of mathematics focused on limits, functions, derivatives, integrals, and infinite series. This subject constitutes a major part of modern mathematics education. It has two major branches, differential calculus and integral calculus, which are related by the fundamental theorem of calculus.

 
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Intro to differential equations : Simple Differential Equations

By: Sal Khan

3 basic differential equations that can be solved by taking the antiderivatives of both sides.

Differential equations with only first derivatives.

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Laplace transform to solve a differential equation : Laplace/Step ...

By: Sal Khan

Hairy differential equation involving a step function that we use the Laplace Transform to solve.

Transforms and the Laplace transform in particular. Convolution integrals.

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Mean value theorem : Mean Value Theorem

By: Sal Khan

Intuition behind the Mean Value Theorem

Minima, maxima, and critical points. Rates of change. Optimization. Rates of change. L'Hopital's rule. Mean value theorem.

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Key to Todhunter's Differential Calculus

By: Hunter, Harry St. John Arnele; Todhunter, Isaac, 1820-1884. Treatise on the Differential Calculus

The references ... are to the tenth edition of the Differential calculus.--Pref

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Theory of Differential Equations : Volume 2

By: Forsyth, Andrew Russell, 1858-1942

Differential equations

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An Elementary Treatise on the Differential Calculus, Containing th...

By: Williamson, Benjamin, 1827-1916

Differential calculus

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Problems in Differential Calculus. Supplementary to a Treatise on ...

By: Byerly, W. E. (William Elwood), 1849-1935

Differential calculus -- Problems, exercises, etc

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An operational unification of finite difference methods for the nu...

By: Lomax, H

Supplemental catalog subcollection information: NASA Publication Collection; Astrophysics and Technical Documents; Operational unification of finite difference methods for numerical integration of ordinary differential equations

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Second-order Linear Differential Equations

By: Technical Books Center

Description: This note contains problems and their solutions related to Second-Order Linear Differential Equations

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Introduction to Differential Equations

By: Chasnov Jeffrey R.

Description: This book covers the following topics: Introduction to odes, First-order odes, Second-order odes, constant coefficients, The Laplace transform, Series solutions, Systems of equations, Nonlinear differential equations, Partial differential equations

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Ordinary Differential Equations and Dynamical Systems

By: Gerald Teschl

Description: The aim of this book is to give a self contained introduction to the field of ordinary differential equations with emphasis on the dynamical systems point of view while still keeping an eye on classical tools as pointed out before. Covered topics are: Newton�s equations, Classification of differential equations, First order autonomous equations, Qualitative analysis of first order equations, Initial value problems, Linear equations, Differential equations in...

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Intro to differential equations : What is a differential equation

By: Sal Khan

What a differential equation is and some terminology.

Differential equations with only first derivatives.

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Separable equations : Separable Differential Equations

By: Sal Khan

Introduction to separable differential equations.

Differential equations with only first derivatives.

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Laplace transform to solve a differential equation : Using the Lap...

By: Sal Khan

Solving a non-homogeneous differential equation using the Laplace Transform

Transforms and the Laplace transform in particular. Convolution integrals.

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Separable equations : Separable differential equations 2

By: Sal Khan

Another separable differential equation example.

Differential equations with only first derivatives.

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Linear homogeneous equations : 2nd Order Linear Homogeneous Differ...

By: Sal Khan

Another example with initial conditions!

Linear differential equations that contain second derivatives

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Linear homogeneous equations : 2nd Order Linear Homogeneous Differ...

By: Sal Khan

Let's find the general solution!

Linear differential equations that contain second derivatives

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Linear homogeneous equations : 2nd Order Linear Homogeneous Differ...

By: Sal Khan

Introduction to 2nd order, linear, homogeneous differential equations with constant coefficients.

Linear differential equations that contain second derivatives

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Linear homogeneous equations : 2nd Order Linear Homogeneous Differ...

By: Sal Khan

Let's use some initial conditions to solve for the particular solution

Linear differential equations that contain second derivatives

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Laplace transform to solve a differential equation : Laplace Trans...

By: Sal Khan

Using the Laplace Transform to solve an equation we already knew how to solve.

Transforms and the Laplace transform in particular. Convolution integrals.

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