9781305482463
Calculus: Early Transcendentals
James Stewart
8th Edition
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
Exponential Functions
Exercises
p.53
1.5
Inverse Functions and Logarithms
Exercises
p.66
Review: Concept Check
p.68
Review: True-False Quiz
p.69
Review: Exercises
p.69
Problems Plus
p.76
2.1
The Tangent and Velocity Problems
Exercises
p.82
2.2
The Limit of a Function
Exercises
p.92
2.3
Calculating Limits Using the Limit Laws
Exercises
p.102
2.4
The Precise Definition of a Limit
Exercises
p.113
2.5
Continuity
Exercises
p.124
2.6
Limits at Infinity; Horizontal Asymptotes
Exercises
p.137
2.7
Derivatives and Rates of Change
Exercises
p.148
2.8
The Derivative as a Function
Exercises
p.160
Review: Concept Check
p.165
Review: True-False Quiz
p.166
Review: Exercises
p.166
Problems Plus
p.169
3.1
Derivatives of Polynomials and Exponential Functions
Exercises
p.180
3.2
The Product and Quotient Rules
Exercises
p.188
3.3
Derivatives of Trigonometric Functions
Exercises
p.196
3.4
The Chain Rule
Exercises
p.204
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.249
3.10
Linear Approximations and Differentials
Exercises
p.256
3.11
Hyperbolic Functions
Exercises
p.264
Review: Concept Check
p.266
Review: True-False Quiz
p.266
Review: Concept Check
p.267
Problems Plus
p.271
4.1
Maximum and Minimum Values
Exercises
p.283
4.2
The Mean Value Theorem
Exercises
p.291
4.3
How Derivatives Affect the Shape of a Graph
Exercises
p.300
4.4
Indeterminate Forms and l'Hospital's Rule
Exercises
p.311
4.5
Summary of Curve Sketching
Exercises
p.321
4.6
Graphing with Calculus and Calculators
Exercises
p.329
4.7
Optimization Problems
Exercises
p.336
4.8
Newton's Method
Exercises
p.348
4.9
Antiderivatives
Exercises
p.355
Review: Concept Check
p.358
Review: True-False Quiz
p.358
Review: Exercises
p.359
Problems Plus
p.363
5.1
Areas and Distances
Exercises
p.375
5.2
The Definite Integral
Exercises
p.388
5.3
The Fundamental Theorem of Calculus
Exercises
p.399
5.4
Indefinite Integrals and the Net Change Theorem
Exercises
p.408
5.5
The Substitution Rule
Exercises
p.418
Review: Concept Check
p.421
Review: True-False Quiz
p.421
Review: Exercises
p.422
Problems Plus
p.425
7.1
Integration by Parts
Exercises
p.476
7.2
Trigonometric Integrals
Exercises
p.484
7.3
Trigonometric Substitution
Exercises
p.491
7.4
Integration of Rational Functions by Partial Fractions
Exercises
p.501
7.5
Strategy for Integration
Exercises
p.507
7.6
Integration Using Tables and Computer Algebra Systems
Exercises
p.512
7.7
Approximate Integration
Exercises
p.524
7.8
Improper Integrals
Exercises
p.534
Review: True-False Quiz
p.537
Review: Concept Check
p.537
Review: Exercises
p.537
Problems Plus
p.541
8.1
Arc Length
Exercises
p.548
8.2
Area of a Surface of Revolution
Exercises
p.555
8.3
Applications to Physics and Engineering
Exercises
p.565
8.4
Applications to Economics and Biology
Exercises
p.572
8.5
Probability
Exercises
p.579
Review: Concept Check
p.581
Review: Exercises
p.581
Problems Plus
p.583
9.1
Modeling with Differential Equations
Exercises
p.590
9.2
Direction Fields and Euler's Method
Exercises
p.597
9.3
Separable Equations
Exercises
p.605
9.4
Models for Population Growth
Exercises
p.617
9.5
Linear Equations
Exercises
p.625
9.6
Predator-Prey Systems
Exercises
p.631
Review: Concept Check
p.634
Review: True-False Quiz
p.634
Review: Exercises
p.634
Problems Plus
p.637
10.1
Curves Defined by Parametric Equations
Exercises
p.645
10.2
Calculus with Parametric Curves
Exercises
p.655
10.3
Polar Coordinates
Exercises
p.666
10.4
Areas and Lengths in Polar Coordinates
Exercises
p.672
10.5
Conic Sections
Exercises
p.680
10.6
Conic Sections in Polar Coordinates
Exercises
p.688
Review: True-False Quiz
p.689
Review: Concept Check
p.689
Review: Exercises
p.690
Problems Plus
p.692
11.1
Sequences
Exercises
p.704
11.2
Series
Exercises
p.715
11.3
The Integral Test and Estimates of Sums
Exercises
p.725
11.4
The Comparison Tests
Exercises
p.731
11.5
Alternating Series
Exercises
p.736
11.6
Absolute Convergence and the Ratio and Root Tests
Exercises
p.742
11.7
Strategy for Testing Series
Exercises
p.746
11.8
Power Series
Exercises
p.751
11.9
Representations of Functions as Power Series
Exercises
p.757
11.10
Taylor and Maclaurin Series
Exercises
p.771
11.11
Applications of Taylor Polynomials
Exercises
p.780
Review: Concept Check
p.784
Review: True-False Quiz
p.784
Review: Exercises
p.785
Problems Plus
p.787
12.1
Three-Dimensional Coordinate Systems
Exercises
p.796
12.2
Vectors
Exercises
p.805
12.3
The Dot Product
Exercises
p.812
12.4
The Cross Product
Exercises
p.821
12.5
Equations of Lines and Planes
Exercises
p.831
12.6
Cylinders and Quadric Surfaces
Exercises
p.839
Review: Concept Check
p.841
Review: True-False Quiz
p.842
Review: Exercises
p.842
Problems Plus
p.844
13.1
Vector Functions and Space Curves
Exercises
p.853
13.2
Derivatives and Integrals of Vector Functions
Exercises
p.860
13.3
Arc Length and Curvature
Exercises
p.868
13.4
Motion in Space: Velocity and Acceleration
Exercises
p.878
Review: True-False Quiz
p.881
Review: Concept Check
p.881
Review: Exercises
p.882
Problems Plus
p.884
14.1
Functions of Several Variables
Exercises
p.899
14.2
Limits and Continuity
Exercises
p.910
14.3
Partial Derivatives
Exercises
p.923
14.4
Tangent Planes and Linear Approximations
Exercises
p.934
14.5
The Chain Rule
Exercises
p.943
14.6
Directional Derivatives and the Gradient Vector
Exercises
p.956
14.7
Maximum and Minimum Values
Exercises
p.967
14.8
Lagrange Multipliers
Exercises
p.977
Review: Concept Check
p.981
Review: True-False Quiz
p.982
Review: Exercises
p.982
Problems Plus
p.985
15.1
Double Integrals over Rectangles
Exercises
p.999
15.2
Double Integrals over General Regions
Exercises
p.1008
15.3
Double Integrals in Polar Coordinates
Exercises
p.1014
15.4
Applications of Double Integrals
Exercises
p.1024
15.5
Surface Area
Exercises
p.1028
15.6
Triple Integrals
Exercises
p.1037
15.7
Triple Integrals in Cylindrical Coordinates
Exercises
p.1043
15.8
Triple Integrals in Spherical Coordinates
Exercises
p.1049
15.9
Change of Variables in Multiple Integrals
Exercises
p.1060
Review: Concept Check
p.1061
Review: True-False Quiz
p.1061
Review: Exercises
p.1062
Problems Plus
p.1065
16.1
Vector Fields
Exercises
p.1073
16.2
Line Integrals
Exercises
p.1084
16.3
The Fundamental Theorem for Line Integrals
Exercises
p.1094
16.4
Green's Theorem
Exercises
p.1101
16.5
Curl and Divergence
Exercises
p.1109
16.6
Parametric Surfaces and Their Areas
Exercises
p.1120
16.7
Surface Integrals
Exercises
p.1132
16.8
Stoke's Theorem
Exercises
p.1139
16.9
The Divergence Theorem
Exercise
p.1145
Review: Concept Check
p.1148
Review: True-False Quiz
p.1148
Review: Exercises
p.1149
Problems Plus
p.1151
17.1
Second-Order Linear Equations
Exercises
p.1160
17.2
Nonhomogeneous Linear Equations
Exercises
p.1167
17.3
Applications of Second-Order Differential Equations
Exercises
p.1175
17.4
Series Solutions
Exercises
p.1180
Review: True-False Quiz
p.1181
Review: Concept Check
p.1181
Review: Exercises
p.1181