**Calculus Study Guide**

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You will use it from high school all the way to graduate school and beyond.

Features

Includes both Calculus I and II

Clear and concise explanations

Difficult concepts are explained in simple terms

Illustrated with graphs and diagrams

Search for the words or phrases

Access the guide anytime, anywhere - at home, on the train, in the subway.

Use your down time to prepare for an exam.

Always have the guide available for a quick reference.

Table of Contents

Introduction: Functions

Limits and Continuity: Limit of a Sequence | Limit of a Function | Limit of a function at infinity | Continuity | Classification of Discontinuities

Derivative: Computing the derivative | Quotient Rules | The Chain Rule | Implicit Function | Related Rates | Product Rule

Table of derivatives: General differentiation rules | Derivatives of simple functions | Derivatives of exponential and logarithmic functions | Derivatives of trigonometric functions | Derivatives of hyperbolic functions | Derivatives of Inverse Trigonometric Functions

Integration (Antiderivative): Integral | Arbitrary Constant of Integration | The Fundamental Theorem of Calculus

Table of Integrals: Rules for integration of general functions | Integrals of simple functions | Rational functions | Irrational functions | Logarithms | Exponential functions | Trigonometric functions | Inverse Trigonometric Functions | Hyperbolic functions | Inverse hyperbolic functions | Definite integrals lacking closed-form antiderivatives | The "sophomore's dream" | Integral Curve | Euler-Maclaurin Formula | Trapezium rule

Logarithms and Exponentials: E - base of natural logarithm | Ln(x) | Hiperbolic functions

Applications of the Definite Integral in Geometry: Area of a Surface of Revolution | Solid of Revolution

Techniques of Integration: Integration by Parts | The ILATE rule | Integration by Substitution | Trigonometric Substitution | Partial Fractions in Integration of Rational Function | Numeric Integration | Simpson Rule

Principles of Integral Evaluation: Methods of Contour Integration | Cauchy's Integral Formula | Improper Integrals | L'Hopital's Rule

Differential Equations: First-Order Differential Equation | Linear Differential Equation

Examples: A separable first order linear ordinary differential equation | Non-separable first order linear ordinary differential equations | A simple mathematical model | Harmonic Oscillator | Stiff Equation

Numerical Integration Methods: Numerical Ordinary Differential Equations | Euler's Method | Runge-Kutta Methods | Multistep Method

Series: Taylor Polynomials | Taylor Series | List of Taylor series | Lagrange Polynomial

Tags: calculus, learn calculus, logarithm and exponential calculus cheat sheet, high school study guide, calculus study guide, calculus study, calculus study guide скачать, learning calculus on an, good learn calculus, calculus 2 study guide.

Features

Includes both Calculus I and II

Clear and concise explanations

Difficult concepts are explained in simple terms

Illustrated with graphs and diagrams

Search for the words or phrases

Access the guide anytime, anywhere - at home, on the train, in the subway.

Use your down time to prepare for an exam.

Always have the guide available for a quick reference.

Table of Contents

Introduction: Functions

Limits and Continuity: Limit of a Sequence | Limit of a Function | Limit of a function at infinity | Continuity | Classification of Discontinuities

Derivative: Computing the derivative | Quotient Rules | The Chain Rule | Implicit Function | Related Rates | Product Rule

Table of derivatives: General differentiation rules | Derivatives of simple functions | Derivatives of exponential and logarithmic functions | Derivatives of trigonometric functions | Derivatives of hyperbolic functions | Derivatives of Inverse Trigonometric Functions

Integration (Antiderivative): Integral | Arbitrary Constant of Integration | The Fundamental Theorem of Calculus

Table of Integrals: Rules for integration of general functions | Integrals of simple functions | Rational functions | Irrational functions | Logarithms | Exponential functions | Trigonometric functions | Inverse Trigonometric Functions | Hyperbolic functions | Inverse hyperbolic functions | Definite integrals lacking closed-form antiderivatives | The "sophomore's dream" | Integral Curve | Euler-Maclaurin Formula | Trapezium rule

Logarithms and Exponentials: E - base of natural logarithm | Ln(x) | Hiperbolic functions

Applications of the Definite Integral in Geometry: Area of a Surface of Revolution | Solid of Revolution

Techniques of Integration: Integration by Parts | The ILATE rule | Integration by Substitution | Trigonometric Substitution | Partial Fractions in Integration of Rational Function | Numeric Integration | Simpson Rule

Principles of Integral Evaluation: Methods of Contour Integration | Cauchy's Integral Formula | Improper Integrals | L'Hopital's Rule

Differential Equations: First-Order Differential Equation | Linear Differential Equation

Examples: A separable first order linear ordinary differential equation | Non-separable first order linear ordinary differential equations | A simple mathematical model | Harmonic Oscillator | Stiff Equation

Numerical Integration Methods: Numerical Ordinary Differential Equations | Euler's Method | Runge-Kutta Methods | Multistep Method

Series: Taylor Polynomials | Taylor Series | List of Taylor series | Lagrange Polynomial

Tags: calculus, learn calculus, logarithm and exponential calculus cheat sheet, high school study guide, calculus study guide, calculus study, calculus study guide скачать, learning calculus on an, good learn calculus, calculus 2 study guide.

Last activity on Calculus Study Guide

(64 stars)

by Dude on 26/06/2011

some content missing

I click on a subject, and it does not show anything. It says it can't find URL. This is like buying a book with some of the chapters completely torn off. The display is compatible only with smart phone screens. Im using xoom but the d

(64 stars)

by Corey O'Connor on 05/03/2011

A very comprehensive and clear written reference. Still, I would hope for some level of interactivity for the price.