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Calculus Study Guide [NOOK Book]

Overview

Boost Your grades with this illustrated Study Guide. You will use it from high school all the way ...

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Calculus Study Guide

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Overview

Boost Your grades with this illustrated Study Guide. 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

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Product Details

  • ISBN-13: 9781605011103
  • Publisher: MobileReference
  • Publication date: 7/1/2010
  • Series: Mobi Study Guides
  • Sold by: Barnes & Noble
  • Format: eBook
  • Sales rank: 766,582
  • File size: 9 MB

Customer Reviews

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Sort by: Showing all of 7 Customer Reviews
  • Anonymous

    Posted March 19, 2013

    Good book

    It was very helpful amazing spectactular

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