Chapter 1

Functions And Models

1.1 Four Ways to Represent a Function Exercises p.19
1.2 Mathematical Models: A Catalog of Essential Functions Exercises p.33
1.3 New Functions from Old Functions Exercises p.42
1.4 Graphing Calculators and Computers Exercises p.50
1.5 Exponential Functions Exercises p.57
1.6 Inverse Functions and Logarithms Exercises p.69
Review: True-False Quiz p.72
Review: Concept Check p.72
Review: Exercises p.73

Chapter 2

Limits And Derivatives

2.1 The Tangent and Velocity Problems Exercises p.86
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.116
2.5 Continuity Exercises p.127
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.181
3.2 The Product and Quotient Rules Exercises p.189
3.3 Derivatives of Trigonometric Functions Exercises p.197
3.4 The Chain Rule Exercises p.205
3.5 Implicit Differentiation Exercises p.215
3.6 Derivatives of Logarithmic Functions Exercises p.223
3.7 Rates of Change in the Natural and Social Sciences Exercises p.233
3.8 Exponential Growth and Decay Exercises p.242
3.9 Related Rates Exercises p.248
3.10 Linear Approximations and Differentials Exercises p.255
3.11 Hyperbolic Functions Exercises p.262
Review: True-False Quiz p.264
Review: Concept Check p.264
Review: Exercises p.265

Chapter 4

Applications Of Differentiation

4.1 Maximum and Minimum Values Exercises p.280
4.2 The Mean Value Theorem Exercises p.288
4.3 How Derivatives Affect the Shape of a Graph Exercises p.297
4.4 Indeterminate Forms and l'Hospitals Rule Exercises p.307
4.5 Summary of Curve Sketching Exercises p.317
4.6 Graphing with Calculus and Calculators Exercises p.324
4.7 Optimization Problems Exercises p.331
4.8 Newton's Method Exercises p.342
4.9 Antiderivatives Exercises p.348
Review: Concept Check p.351
Review: True-False Quiz p.351
Review: Exercises p.352

Chapter 5


5.1 Areas and Distances Exercises p.369
5.2 The Definite Integral Exercises p.382
5.3 The Fundamental Theorem of Calculus Exercises p.394
5.4 Indefinite Integrals and the Net Change Theorem Exercises p.403
5.5 The Substitution Rule Exercises p.413
Review: Concept Check p.415
True-False Quiz p.416
Review: Exercises p.416
5.5 The Substitution Rule Problems p.420

Chapter 6

Applications Of Integration

6.1 Areas Between Curves Exercises p.427
6.2 Volumes Exercises p.438
6.3 Volumes by Cylindrical Shells Exercises p.444
6.4 Work Exercises p.449
6.5 Average Value of a Function Exercises p.453
Review: Concept Check p.457
Review Exercises p.457

Chapter 7

Techniques Of Integration

7.1 Integration by Parts Exercises p.468
7.2 Trigonometric Integrals Exercises p.476
7.3 Trigonometric Substitution Exercises p.483
7.4 Integration of Rational Functions by Partial Fractions Exercises p.492
7.5 Strategy for Integration Exercises p.499
7.6 Integration Using Tables and Computer Algebra Systems Exercises p.504
7.7 Approximate Integration Exercises p.516
7.8 Improper Integrals Exercises p.527
Review: Concept Check p.529
Review: True-False Quiz p.530
Review Exercises p.530

Chapter 8

Further Applications Of Integration

8.1 Arc Length Exercises p.543
8.2 Area of a Surface of Revolution Exercises p.550
8.3 Applications to Physics and Engineering Exercises p.560
8.4 Applications to Economics and Biology Exercises p.566
8.5 Probability Exercises p.573
Concept Check p.575
Review Exercises p.575

Chapter 9

Differential Equations

9.1 Modeling with Differential Equations Exercises p.584
9.2 Direction Fields and Euler's Method Exercises p.592
9.3 Separable Equations Exercises p.600
9.4 Models for Population Growth Exercises p.613
9.5 Linear Equations Exercises p.620
9.6 Predator-Prey Systems Exercises p.627
True-False Quiz p.629
Review p.629
Review Exercises p.630

Chapter 10

Parametric Equations And Polar Coordinates

10.1 Curves Defined by Parametric Equations Exercises p.641
10.2 Calculus with Parametric Curves Exercises p.651
10.3 Polar Coordinates Exercises p.662
10.4 Areas and Lengths in Polar Coordinates Exercises p.668
10.5 Conic Sections Exercises p.676
10.6 Conic Sections in Polar Coordinates Exercises p.684
True-False Quiz p.685
Concept Check p.685
Review Exercises p.686

Chapter 11

Infinite Sequences And Series

11.1 Sequences Exercises p.700
11.2 Series Exercises p.711
11.3 The Integral Test and Estimates of Sums Exercises p.720
11.4 The Comparison Tests Exercises p.726
11.5 Alternating Series Exercises p.731
11.6 Absolute Convergence and the Ratio and Root Tests Exercises p.737
11.7 Strategy for Testing Series Exercises p.740
11.8 Power Series Exercises p.745
11.9 Representations of Functions as Power Series Exercises p.751
11.10 Taylor and Maclaurin Series Exercises p.765
11.11 Applications of Taylor Polynomials Exercises p.774
Concept Check p.778
True-False Quiz p.778
Review Exercises p.779

Chapter 12

Vectors And The Geometry Of Space

12.1 Three-Dimensional Coordinate Systems Exercises p.790
12.2 Vectors Exercises p.798
12.3 The Dot Product Exercises p.806
12.4 The Cross Product Exercises p.814
12.5 Equations of Lines and Planes Exercises p.824
12.6 Cylinders and Quadric Surfaces Exercises p.832
Concept Check p.834
True-False Quiz p.834
Review Exercises p.835

Chapter 13

Vector Problems

13.1 Vector Functions and Space Curves Exercises p.845
13.2 Derivatives and Integrals of Vector Functions Exercises p.852
13.3 Arc Length and Curvature Exercises p.860
13.4 Motion in Space: Velocity and Acceleration Exercises p.870
Concept Check p.873
True-False Quiz p.873
Review Exercises p.874

Chapter 14

Partial Derivatives

14.1 Functions of Several Variables Exercises p.888
14.2 Limits and Continuity Exercises p.899
14.3 Partial Derivatives Exercises p.911
14.4 Tangent Planes and Linear Approximations Exercises p.922
14.5 The Chain Rule Exercises p.930
14.6 Directional Derivatives and the Gradient Vector Exercises p.943
14.7 Maximum and Minimum Values Exercises p.953
14.8 Lagrange Multipliers Exercises p.963
Concept Check p.967
True-False Quiz p.967
Review Exercises p.968

Chapter 15

Multiple Integrals

15.1 Double Integrals over Rectangles Exercises p.981
15.2 Iterated Integrals Exercises p.987
15.3 Double Integrals over General Regions Exercises p.995
15.4 Double Integrals in Polar Coordinates Exercises p.1002
15.5 Applications of Double Integrals Exercises p.1012
15.6 Surface Area Exercises p.1016
15.7 Triple Integrals Exercises p.1025
15.8 Triple Integrals in Cylindrical Coordinates Exercises p.1031
15.9 Triple Integrals in Spherical Coordinates Exercises p.1037
15.10 Change in Variables in Multiple Integrals Exercises p.1047
Concept Check p.1049
True-False Quiz p.1049
Review Exercises p.1050

Chapter 16

Vector Calculus

16.1 Vector Fields Exercises p.1061
16.2 Line Integrals Exercises p.1072
16.3 The Fundamental Theorem for Line Integrals Exercises p.1082
16.4 Green's Theorem Exercises p.1089
16.5 Curl and Divergence Exercises p.1097
16.6 Parametric Surfaces and Their Areas Exercises p.1108
16.7 Surface Integrals Exercises p.1120
16.8 Stoke's Theorem Exercises p.1127
16.9 The Divergence Theorem Exercises p.1133
True-False Quiz p.1136
Concept Check p.1136
Review Exercises p.1137

Chapter 17

Second-Order Differential Equations

17.1 Second-Order Linear Equations Exercises p.1148
17.2 Nonhomogeneous Linear Equations Exercises p.1155
17.3 Applications of Second-Order Differential Equations Exercises p.1163
17.4 Series Solutions Exercises p.1168
True-False Quiz p.1169
Concept Check p.1169
Review Exercises p.1169
Not your textbook? Try these editions (see all)
Stewart Calculus, 7th Edition Stewart Calculus: Early Transcendentals, 8th Edition Stewart Essential Calculus Early Transcendentals, 2nd Edition Stewart Calculus: Early Transcendentals, 6th Edition Stewart Calculus: Concepts and Contexts, 4th Edition Stewart Multivariable Calculus, 7th Edition


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