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Calculus Concepts and Contexts

by: Stewart, James

Calculus Concepts and Contexts

by: Stewart, James

ISBN 13:
9780495557425
ISBN 10:
0495557420
Edition: 4th
Format: Hardcover
Copyright: 03/09/2009
Publisher: Cengage Learning
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Summary

Stewart's CALCULUS: CONCEPTS AND CONTEXTS, FOURTH EDITION offers a streamlined approach to teaching calculus, focusing on major concepts and supporting those with precise definitions, patient explanations, and carefully graded problems. CALCULUS: CONCEPTS AND CONTEXTS is highly regarded because this text offers a balance of theory and conceptual work to satisfy more progressive programs as well as those who are more comfortable teaching in a more traditional fashion. Each title is just one component in a comprehensive calculus course program that carefully integrates and coordinates print, media, and technology products for successful teaching and learning.

Preface
To the Student
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
Parametric Curves
Laboratory Project: Running Circles around Circles
Review
Principles of Problem Solving
Limits and Derivatives
The Tangent and Velocity Problems
The Limit of a Function
Calculating Limits Using the Limit Laws
Continuity
Limits Involving Infinity
Derivatives and Rates of Change
Writing Project: Early Methods for Finding Tangents
The Derivative as a Function
What Does f?? Say about f? Review
Focus on Problem Solving
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
Laboratory Project: BTzier Curves
Applied Project: Where Should a Pilot Start Descent? Implicit Differentiation
Inverse Trigonometric Functions and their Derivatives
Derivatives of Logarithmic Functions
Discovery Project: Hyperbolic Functions
Rates of Change in the Natural and Social Sciences
Linear Approximations and Differentials
Laboratory Project: Taylor Polynomials
Review
Focus on Problem Solving
Applications of Differentiation
Related Rates
Maximum and Minimum Values
Applied Project: The Calculus of Rainbows
Derivatives and the Shapes of Curves
Graphing with Calculus and Calculators
Indeterminate Forms and l'Hospital's Rule
Writing Project: The Origins of l'Hospital's Rule
Optimization Problems
Applied Project: The Shape of a Can
Newton's Method
Antiderivatives
Review
Focus on Problem Solving
Integrals
Areas and Distances
The Definite Integral
Evaluating Definite Integrals
Discovery Project: Area Functions
The Fundamental Theorem of Calculus
Writing Project: Newton, Leibniz, and the Invention of Calculus
The Substitution Rule
Integration by Parts
Additional Techniques of Integration
Integration Using Tables and Computer Algebra Systems
Discovery Project: Patterns in Integrals
Approximate Integration
Improper Integrals
Review
Focus on Problem Solving
Applications of Integration
More about Areas
Volumes
Discovery Project: Rotating on a Slant
Volumes by Cylindrical Shells
Arc Length
Discovery Project: Arc Length Contest
Average Value of a Function
Applied Project: Where To Sit at the Movies
Applications to Physics and Engineering
Discovery Project: Complementary Coffee Cups
Applications to Economics and Biology
Probability
Review
Focus on Problem Solving
Differential Equations
Modeling with Differential Equations
Direction Fields and Euler's Method
Separable Equations
Applied Project: How Fast Does a Tank Drain? Applied Project: Which Is Faster, Going Up or Coming Down? Exponential Growth and Decay
Applied Project: Calculus and Baseball
The Logistic Equation
Predator-Prey Systems
Review
Focus on Problem Solving
Infinte Sequences and Series
Sequences
Laboratory Project: Logistic Sequences
Series
The Integral and Comparison Tests
Estimating Sums
Other Convergence Tests
Power Series
Representations of Functions as Power Series
Taylor and Maclaurin Series
Laboratory Project: An Elusive Limit
Writing Project: How Newton Discovered the Binomial Series
Applications of Taylor Polynomials
Applied Project: Radiation from the Stars
Review
Focus on Problem Solving
Vectors and the Geometry of Space
Three-Dimensional Coordinate Systems
Vectors
The Dot Product
The Cross Product
Discovery Project: The Geometry of a Tetrahedron
Equations of Lines and Planes
Laboratory Project: Putting 3D in Perspective
Functions and Surfaces
Cylindrical and Spherical Coordinates
Laboratory Project: Families of Surfaces
Review
Focus on Problem Solving
Vector Functions
Vector Func
Table of Contents provided by Publisher. All Rights Reserved.

Amazon no longer offers textbook rentals. We do!

Calculus Concepts and Contexts

Calculus Concepts and Contexts

9780495557425

0495557420

Summary

Table of Contents

Supplemental Materials

Write a Review

Amazon no longer offers textbook rentals. We do!

Calculus Concepts and Contexts

Calculus Concepts and Contexts

9780495557425

0495557420

Summary

Table of Contents

Supplemental Materials

Write a Review

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