Single Variable Calculus Concepts and Contexts

ISBN-10: 0495011614

ISBN-13: 9780495011613

Edition: 6th 2008

List price: $307.95
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Description: 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 CALCULUS, Sixth 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!

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Book details

List price: $307.95
Edition: 6th
Copyright year: 2008
Publisher: Brooks/Cole
Publication date: 3/29/2007
Binding: Hardcover
Pages: 948
Size: 9.00" wide x 10.25" long x 1.50" tall
Weight: 4.774
Language: English

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
Principles of Problem Solving
The Tangent and Velocity Problems
The Limit of a Function
Calculating Limits Using the Limit Laws
The Precise Definition of a Limit
Problems Plus
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
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
Problems Plus
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
Problems Plus
Applications Of Integration
Areas between Curves
Volumes by Cylindrical Shells
Average Value of a Function
Problems Plus
Inverse Functions: Exponential, Logarithmic, and Inverse Trigonometric Functions
Inverse Functions. (Instructors may cover either Sections 7.2-7.4 or Sections 7.2*-7.4*. See the Preface.)
Exponential Functions and Their Derivatives
Logarithmic Functions
Derivatives of Logarithmic Functions
The Natural Logarithmic Function
The Natural Exponential Function
General Logarithmic and Exponential Functions
Exponential Growth and Decay
Inverse Trigonometric Functions
Applied Project: Where to Sit at the Movies
Hyperbolic Functions
Indeterminate Forms and L'Hospital's Rule
Writing Project: The Origins of L'Hospital's Rule
Problems Plus
Techniques Of Integration
Integration by Parts
Trigonometric Integrals
Trigonometric Substitution
Integration of Rational Functions by Partial Fractions
Strategy for Integration
Integration Using Tables and Computer Algebra Systems
Discovery Project: Patterns in Integrals
Approximate Integration
Improper Integrals
Problems Plus
Further Applications Of Integration
Arc Length
Discovery Project: Arc Length Contest
Area of a Surface of Revolution
Discovery Project: Rotating on a Slant
Applications to Physics and Engineering
Discovery Project: Complementary Coffee Cups
Applications to Economics and Biology
Problems Plus
Differential Equations
Modeling with Differential Equations
Direction Fields and Euler's Method
Separable Equations
Applied Project: Which is Faster, Going Up or Coming Down? Models for Population Growth
Applied Project: Calculus and Baseball
Linear Equations
Predator-Prey Systems
Problems Plus
Parametric Equations and Polar Coordinates
Curves Defined by Parametric Equations
Laboratory Project: Families of Hypocycloids
Calculus with Parametric Curves
Laboratory Project: Bezier Curves
Polar Coordinates
Areas and Lengths in Polar Coordinates
Conic Sections
Conic Sections in Polar Coordinates
Problems Plus
Infinite Sequences and Series
Laboratory Project: Logistic Sequences
The Integral Test and Estimates of Sums
The Comparison Tests
Alternating Series
Absolute Convergence and the Ratio and
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