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× # Stewart Calculus: Early Transcendentals, 6th Edition Stewart Calculus: Early Transcendentals, 6th ...

ISBN: 9780495011668 / 0495011665 ## Table of Contents

### Chapter 1

Functions And Models

 1.1 Four Ways to Represent a Function Exercises p.20 1.2 Mathematical Models: A Catalog of Essential Functions Exercises p.34 1.3 New Functions from Old Functions Exercises p.43 1.4 Graphing Calculators and Computers Exercises p.51 1.5 Exponential Functions Exercises p.58 1.6 Inverse Functions and Logarithms Exercises p.70 Review: Concept Check p.73 Review: True-False Quiz p.73 Review: Exercises p.74

### Chapter 2

Limits And Derivatives

 2.1 The Tangent and Velocity Problems Exercises p.87 2.2 The Limit of a Function Exercises p.96 2.3 Calculating Limits Using the Limit Laws Exercises p.106 2.4 The Precise Definition of a Limit Exercises p.117 2.5 Continuity Exercises p.128 2.6 Limits at Infinity: Horizontal Asymptotes Exercises p.140 2.7 Derivatives and Rates of Change Exercises p.150 2.8 The Derivative as a Function Exercises p.162 Review: Concept Check p.165 Review: True-False Quiz p.166 Review: Exercises p.167

### Chapter 3

Differentiation Rules

 3.1 Derivatives of Polynomials and Exponential Functions Exercises p.180 3.2 The Product and Quotient Rules Exercises p.187 3.3 Derivatives of Trigonometric Functions Exercises p.195 3.4 The Chain Rule Exercises p.203 3.5 Implicit Differentiation Exercises p.213 3.6 Derivatives of Logarithmic Functions Exercises p.220 3.7 Rates of Change in the Natural and Social Sciences Exercises p.230 3.8 Exponential Growth and Decay Exercises p.239 3.9 Related Rates Exercises p.245 3.10 Linear Approximations and Differentials Exercises p.252 3.11 Hyperbolic Functions Exercises p.259 Review: Concept Check p.261 Review: True-False Quiz p.261 Review: Exercises p.262

### Chapter 4

Applications Of Differentiation

 4.1 Maximum and Minimum Values Exercises p.277 4.2 The Mean Value Theorem Exercises p.285 4.3 How Derivatives Affect the Shape of a Graph Exercises p.295 4.4 Indeterminate Forms and L'Hopital's Rule Exercises p.304 4.5 Summary of Curve Sketching Exercises p.314 4.6 Graphing with Calculus and Calculators Exercises p.320 4.7 Optimization Problems Exercises p.328 4.8 Newton's Method Exercises p.338 4.9 Antiderivatives Exercises p.345 Review: Concept Check p.347 Review: True-False Quiz p.347 Review: Exercises p.348

### Chapter 5

Integrals

 5.1 Areas and Distances Exercises p.364 5.2 The Definite Integral Exercises p.376 5.3 The Fundamental Theorem of Calculus Exercises p.387 5.4 Indefinite Integrals and the Net Change Theorem Exercises p.397 5.5 The Substitution Rule Exercises p.406 Review: Concept Check p.408 Review: True-False Quiz p.409 Review: Exercises p.409

### Chapter 6

Applications Of Integration

 6.1 Areas between Curves Exercises p.420 6.2 Volumes Exercises p.430 6.3 Volumes by Cylindrical Shells Exercises p.436 6.4 Work Exercises p.441 6.5 Average Value of a Function Exercises p.445 Review: Concept Check p.446 Review: Exercises p.446

### Chapter 7

Techniques Of Integration

 7.1 Integration by Parts Exercises p.457 7.2 Trigonometric Integrals Exercises p.465 7.3 Trigonometric Substitution Exercises p.472 7.4 Integration of Rational Functions by Partial Functions Exercises p.481 7.5 Strategy for Integration Exercises p.488 7.6 Integration Using Tables and Computer Algebra Systems Exercises p.493 7.7 Approximate Integration Exercises p.505 7.8 Improper Integrals Exercises p.515 Review: Concept Check p.518 Review: True-False Quiz p.518 Review: Exercises p.518

### Chapter 8

Further Applications Of Integration

 8.1 Arc Length Exercises p.530 8.2 Area of a Surface of Revolution Exercises p.537 8.3 Applications to Physics and Engineering Exercises p.547 8.4 Applications to Economics and Biology Exercises p.553 8.5 Probability Exercises p.560 Review: Concept Check p.562 Review: Exercises p.562

### Chapter 9

Differential Equations

 9.1 Modeling with Differential Equations Exercises p.571 9.2 Direction Fields and Euler's Method Exercises p.578 9.3 Separable Equations Exercises p.586 9.4 Models for Population Growth Exercises p.598 9.5 Linear Equations Exercises p.606 9.6 Predator-Prey Systems Exercises p.612 Review: Concept Check p.614 Review: True-False Quiz p.615 Review: Exercises p.615

### Chapter 10

Parametric Equations And Polar Coordinates

 10.1 Curves Defined by Parametric Equations Exercises p.626 10.2 Calculus with Parametric Curves Exercises p.636 10.3 Polar Coordinates Exercises p.647 10.4 Areas and Lengths in Polar Coordinates Exercises p.653 10.5 Conic Sections Exercises p.660 10.6 Conic Sections in Polar Coordinates Exercises p.668 Review: Concept Check p.669 Review: True-False Quiz p.669 Review: Exercises p.670

### Chapter 11

Infinite Sequences And Series

 11.1 Sequences Exercises p.684 11.2 Series Exercises p.694 11.3 The Integral Test and Estimates of Sums Exercises p.703 11.4 The Comparison Tests Exercises p.709 11.5 Alternating Series Exercises p.713 11.6 Absolute Convergence and the Ratio and Root Tests Exercises p.719 11.7 Strategy for Testing Series Exercises p.722 11.8 Power Series Exercises p.727 11.9 Representations of Functions as Power Series Exercises p.733 11.10 Taylor Maclaurin Series Exercises p.746 11.11 Applications of Taylor Polynomials Exercises p.755 Review: Concept Check p.758 Review: True-False Quiz p.759 Review: Exercises p.759

### Chapter 12

Vectors And The Geometry Of Space

 12.1 Three-Dimensional Coordinate Systems Exercises p.769 12.2 Vectors Exercises p.777 12.3 The Dot Product Exercises p.784 12.4 The Cross Product Exercises p.792 12.5 Equations of Lines and Planes Exercises p.802 12.6 Cylinders and Quadric Surfaces Exercises p.810 Review: Concept Check p.812 Review: True-False Quiz p.812 Review: Exercises p.813

### Chapter 13

Vector Functions

 13.1 Vector Functions and Space Curves Exercises p.822 13.2 Derivatives and Integrals of Vector Functions Exercises p.828 13.3 Arc Length and Curvature Exercises p.836 13.4 Motion in Space: Velocity and Acceleration Exercises p.846 Review: Concept Check p.849 Review: True-False Quiz p.850 Review: Exercises p.850

### Chapter 14

Partial Derivatives

 14.1 Functions of Several Variables Exercises p.865 14.2 Limits and Continuity Exercises p.877 14.3 Partial Derivatives Exercises p.888 14.4 Tangent Planes and Linear Approximations Exercises p.899 14.5 The Chain Rule Exercises p.907 14.6 Directional Derivatives and the Gradient Vector Exercises p.920 14.7 Maximum and Minimum Values Exercises p.930 14.8 Lagrange Multipliers Exercises p.940 Review: Concept Check p.944 Review: True-False Quiz p.944 Review: Exercises p.945

### Chapter 15

Multiple Integrals

 15.1 Double Integrals over Rectangles Exercises p.958 15.2 Iterated Integrals Exercises p.964 15.3 Double Integrals over General Regions Exercises p.972 15.4 Double Integrals in Polar Coordinates Exercises p.978 15.5 Applications of Double Integrals Exercises p.988 15.6 Triple Integrals Exercises p.998 15.7 Triple Integrals in Cylindrical Coordinates Exercises p.1004 15.8 Triple Integrals in Spherical Coordinates Exercises p.1010 15.9 Change of Variables in Multiple Integrals Exercises p.1020 Review: Concept Check p.1021 Review: True-False Quiz p.1021 Review: Exercises p.1022

### Chapter 16

Vector Calculus

 16.1 Vector Fields Exercises p.1032 16.2 Line Integrals Exercises p.1043 16.3 The Fundamental Theorem for Line Integrals Exercises p.1053 16.4 Green's Theorem Exercises p.1060 16.5 Curl and Divergence Exercises p.1068 16.6 Parametric Surfaces and Their Areas Exercises p.1078 16.7 Surface Integrals Exercises p.1091 16.8 Stokes' Theorem Exercises p.1097 16.9 The Divergence Theorem Exercises p.1103 Review: Concept Check p.1106 Review: True-False Quiz p.1106 Review: Exercises p.1107

### Chapter 17

Second-Order Differential Equations

 17.1 Second-Order Linear Equations Exercises p.1117 17.2 Nonhomogenous Linear Equations Exercises p.1124 17.3 Applications of Second-Order Differential Equations Exercises p.1132 Review: Concept Check p.1137 17.4 Series Solutions Exercises p.1137 Review: True-False Quiz p.1138 Review: Exercises p.1138
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