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Single Variable Calculus, Volume 1,9780538497848
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Single Variable Calculus, Volume 1

by
Edition:
7th
ISBN13:

9780538497848

ISBN10:
053849784X
Format:
Hardcover
Pub. Date:
1/1/2011
Publisher(s):
Cengage Learning
List Price: $175.00

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Summary

Success in your calculus course starts here! James Stewart's CALCULUS texts are world-wide best-sellers for a reason: they are clear, accurate, and filled with relevant, real-world examples. With SINGLE VARIABLE CALCULUS, 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 Limits
Four Ways to Represent a Function
Mathematical Models: A Catalog of Essential Functions
New Functions from Old Functions
The Tangent and Velocity Problems
The Limit of a Function
Calculating Limits Using the Limit Laws
The Precise Definition of a Limit
Continuity
Review
Principles of Problem Solving
Derivatives
Derivatives and Rates of Change
Writing Project: 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
Laboratory Project: Families of Implicit Curves
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
Applied Project: The Gini Index
Volume
Volumes by Cylindrical Shells
Work
Average Value of a Function
Review
Appendixes
Intervals, Inequalities, and Absolute Values
Coordinate Geometry and Lines
Graphs of Second-Degree Equations
Trigonometry
Sigma Notation
Proofs of Theorems
Graphing Calculators and Computers
Complex Numbers
Answers to Odd-Numbered Exercises
Table of Contents provided by Publisher. All Rights Reserved.


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