9780538498692

Single Variable Calculus Vol. 1, Early Transcendentals

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  • ISBN13:

    9780538498692

  • ISBN10:

    0538498692

  • Edition: 7th
  • Format: Hardcover
  • Copyright: 11/23/2010
  • Publisher: Brooks Cole
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Summary

Success in your calculus course starts here! James Stewart's CALCULUS: EARLY TRANSCENDENTALS texts are world-wide best-sellers for a reason: they are clear, accurate, and filled with relevant, real-world examples. With SINGLE VARIABLE CALCULUS: EARLY TRANSCENDENTALS, Seventh Edition, Stewart conveys not only the utility of calculus to help you develop technical competence, but also gives you an appreciation for the intrinsic beauty of the subject. His patient examples and built-in learning aids will help you build your mathematical confidence and achieve your goals in the course!

Table of Contents

Diagnostic Tests
A Preview of Calculus
Functions And Models
Four Ways to Represent a Function
Mathematical Models: A Catalog of Essential Functions
New Functions from Old Functions
Graphing Calculators and Computers
Exponential Functions
Inverse Functions and Logarithms
Review
Principles of Problem Solving
Limits And Derivatives
The Tangent and Velocity Problems
The Limit of a Function
Calculating Limits Using the Limit Laws
The Precise Definition of a Limit
Continuity
Limits at Infinity
Horizontal Asymptotes
Derivatives and Rates of Change
Writing Project: Early Methods for Finding Tangents
The Derivative as a Function
Review
Problems Plus
Differentiation Rules
Derivatives of Polynomials and Exponential Functions
Applied Project: Building a Better Roller Coaster
The Product and Quotient Rules
Derivatives of Trigonometric Functions
The Chain Rule
Applied Project: Where Should a Pilot Start Descent?
Implicit Differentiation
Derivatives of Logarithmic Functions
Rates of Change in the Natural and Social Sciences
Exponential Growth and Decay
Related Rates
Linear Approximations and Differentials
Laboratory Project: Taylor Polynomials
Hyperbolic Functions
Review
Problems Plus
Applications Of Differentiation
Maximum and Minimum Values
Applied Project: The Calculus of Rainbows
The Mean Value Theorem
How Derivatives Affect the Shape of a Graph
Indeterminate Forms and L'Hospital's Rule
Writing Project: The Origins of l'Hospital's Rule
Summary of Curve Sketching
Graphing with Calculus and Calculators
Optimization Problems
Applied Project: The Shape of a Can
Newton's Method
Antiderivatives
Review
Problems Plus
Integrals
Areas and Distances
The Definite Integral
Discovery Project: Area Functions
The Fundamental Theorem of Calculus
Indefinite Integrals and the Net Change Theorem
Writing Project: Newton, Leibniz, and the Invention of Calculus
The Substitution Rule
Review
Problems Plus
Applications Of Integration
Areas between Curves
Volume
Volumes by Cylindrical Shells
Work
Average Value of a Function
Applied Project: Where to Sit at the Movies
Review
Appendixes
Numbers, Inequalities, and Absolute Values
Coordinate Geometry and Lines
Graphs of Second-Degree Equations
Trigonometry
Sigma Notation
Proofs of Theorems
The Logarithm Defined as an Integral
Complex Numbers
Answers to Odd-Numbered Exercises
Table of Contents provided by Publisher. All Rights Reserved.

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