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Stewart Calculus: Early Transcendentals, 6th Edition

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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