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Single Variable Calculus : Concepts and Contexts,9780534393663
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Single Variable Calculus : Concepts and Contexts

by
Edition:
5th
ISBN13:

9780534393663

ISBN10:
0534393667
Format:
Paperback
Pub. Date:
12/16/2002
Publisher(s):
Brooks Cole
Includes 2-weeks free access to
step-by-step solutions for this book.
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Questions About This Book?

What version or edition is this?
This is the 5th edition with a publication date of 12/16/2002.
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  • The New copy of this book will include any supplemental materials advertised. Please check the title of the book to determine if it should include any CDs, lab manuals, study guides, etc.
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Summary

Stewart's clear, direct writing style in SINGLE VARIABLE CALCULUS, VOLUME 2, 5th Edition guides you through key ideas, theorems, and problem-solving steps. Every concept is supported by thoughtfully worked examples and carefully chosen exercises. Many of the detailed examples display solutions that are presented graphically, analytically, or numerically to provide further insight into mathematical concepts. Margin notes expand on and clarify the steps of the solution.

Table of Contents

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
Review
Principles of Problem Solving
Limits
The Tangent and Velocity Problems
The Limit of a Function
Calculating Limits Using the Limit Laws
The Precise Definition of a Limit
Continuity
Review
Problems Plus
Derivatives
Derivatives and Rates of Change
Writing Project: Early Methods for Finding Tangents
The Derivative as a Function
Differentiation Formulas
Applied Project: Building a Better Roller Coaster
Derivatives of Trigonometric Functions
The Chain Rule
Applied Project: Where Should a Pilot Start Descent? Implicit Differentiation
Rates of Change in the Natural and Social Sciences
Related Rates
Linear Approximations and Differentials
Laboratory Project: Taylor Polynomials
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
Limits at Infinity
Horizontal Asymptotes
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
Review
Problems Plus
Appendixes
Intervals, Inequalities, and Absolute Values
Coordinate Geometry and Lines
Graphs of Second-Degree Equations
Trigonometry
Sigma Notation
Proofs of Theorems
Complex Numbers
Answers to Odd-Numbered Exercises
Table of Contents provided by Publisher. All Rights Reserved.


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