Chapter 1

Functions And Limits

1.1 Functions and Their Representations Exercises p.8
1.2 A Catalog of Essential Functions Exercises p.21
1.3 The Limit of a Function Exercises p.33
1.4 Calculating Limits Exercises p.43
1.5 Continuity Exercises p.54
1.6 Limits Involving Infinity Exercises p.67
Chapter 1 Review (True-False Quiz) p.70
Chapter 1 Review (Concept Check) p.70
Chapter 1 Review (Exercises) p.71

Chapter 2


2.1 Derivatives and Rates of Change Exercises p.80
2.2 The Derivative as a Function Exercises p.92
2.3 Basic Differentiation Formulas Exercises p.105
2.4 The Product and Quotient Rules Exercises p.112
2.5 The Chain Rule Exercises p.120
2.6 Implicit Differentiation Exercises p.127
2.7 Related Rates Exercises p.132
2.8 Linear Approximations and Differentials Exercises p.138
Chapter 2 Review (True-False Quiz) p.140
Chapter 2 Review (Concept Check) p.140
Chapter 2 Review (Exercises) p.141

Chapter 3

Inverse Functions

3.1 Exponential Functions Exercises p.150
3.2 Inverse Functions and Logarithms Exercises p.161
3.3 Derivatives of Logarithmic and Exponential Functions Exercises p.169
3.4 Exponential Growth and Decay Exercises p.177
3.5 Inverse Trigonometric Functions Exercises p.183
3.6 Hyperbolic Functions Exercises p.189
3.7 Indeterminate Forms and L'Hôpital's Rule Exercises p.197
Chapter 3 Review (Concept Check) p.199
Chapter 3 Review (True-False Quiz) p.199
Chapter 3 Review (Exercises) p.200

Chapter 4

Applications Of Differentiation

4.1 Maximum and Minimum Values Exercises p.208
4.2 The Mean Value Theorem Exercises p.215
4.3 Derivatives and the Shapes of Graphs Exercises p.222
4.4 Curve Sketching Exercises p.230
4.5 Optimization Problems Exercises p.238
4.6 Newton's Method Exercises p.245
4.7 Antiderivatives Exercises p.252
Chapter 4 Review (Concept Check) p.253
Chapter 4 Review (Exercises) p.254
Chapter 4 Review (True-False Quiz) p.254

Chapter 5


5.1 Areas and Distances Exercises p.266
5.2 The Definite Integral Exercises p.279
5.3 Evaluating Definite Integrals Exercises p.289
5.4 The Fundamental Theorem of Calculus Exercises p.298
5.5 The Substitution Rule Exercises p.306
Chapter 5 Review (True-False Quiz) p.308
Chapter 5 Review (Concept Check) p.308
Chapter 5 Review (Exercises) p.309

Chapter 6

Techniques Of Integration

6.1 Integration by Parts Exercises p.316
6.2 Trigonometric Integrals and Substitutions Exercises p.326
6.3 Partial Fractions Exercises p.334
6.4 Integration with Tables and Computer Algebra Systems Exercises p.340
6.5 Approximate Integration Exercises p.350
6.6 Improper Integrals Exercises p.360
Chapter 6 Review (Concept Check) p.362
Chapter 6 Review (True-False Quiz) p.362
Chapter 6 Review (Exercises) p.363

Chapter 7

Applications Of Integration

7.1 Areas between Curves Exercises p.369
7.2 Volumes Exercises p.378
7.3 Volumes by Cylindrical Shells Exercises p.384
7.4 Arc Length Exercises p.391
7.5 Area of a Surface of Revolution Exercises p.397
7.6 Applications to Physics and Engineering Exercises p.408
7.7 Differential Equations Exercises p.418
Chapter 7 Review (Concept Check) p.421
Chapter 7 Review (Exercises) p.422

Chapter 8


8.1 Sequences Exercises p.434
8.2 Series Exercises p.443
8.3 The Integral and Comparison Tests Exercises p.452
8.4 Other Convergence Tests Exercises p.463
8.5 Power Series Exercises p.468
8.6 Representing Functions as Power Series Exercises p.474
8.7 Taylor and Maclaurin Series Exercises p.487
8.8 Applications of Taylor Polynomials Exercises p.494
Chapter 8 Review (Concept Check) p.497
Chapter 8 Review (True-False Quiz) p.497
Chapter 8 Review (Exercises) p.498

Chapter 9

Parametric Equations And Polar Coordinates

9.1 Parametric Curves Exercises p.505
9.2 Calculus with Parametric Curves Exercises p.513
9.3 Polar Coordinates Exercises p.522
9.4 Areas and Lengths in Polar Coordinates Exercises p.528
9.5 Conic Sections in Polar Coordinates Exercises p.534
Chapter 9 Review (Concept Check) p.535
Chapter 9 Review (Exercises) p.535
Chapter 9 Review (True-False Quiz) p.535

Chapter 10

Vectors And The Geometry Of Space

10.1 Three-Dimensional Coordinate Systems Exercises p.541
10.2 Vectors Exercises p.549
10.3 The Dot Product Exercises p.556
10.4 The Cross Product Exercises p.564
10.5 Equations of Lines and Planes Exercises p.572
10.6 Cylinders and Quadric Surfaces Exercises p.579
10.7 Vector Functions and Space Curves Exercises p.589
10.8 Arc Length and Curvature Exercises p.598
10.9 Motion in Space: Velocity and Acceleration Exercises p.608
Chapter 10 Review (Concept Check) p.610
Chapter 10 Review (True-False Quiz) p.611
Chapter 10 Review (Exercises) p.612

Chapter 11

Partial Derivatives

11.1 Functions and Several Variables Exercises p.623
11.2 Limits and Continuity Exercises p.632
11.3 Partial Derivatives Exercises p.638
11.4 Tangent Places and Linear Approximations Exercises p.648
11.5 The Chain Rule Exercises p.656
11.6 Directional Derivatives and the Gradient Vector Exercises p.667
11.7 Maximum and Minimum Values Exercises p.675
11.8 Lagrange Multipliers Exercises p.683
Chapter 11 Review (True-False Quiz) p.685
Chapter 11 Review (Concept Check) p.685
Chapter 11 Review (Exercises) p.686

Chapter 12

Multiple Integrals

12.1 Double Integrals over Rectangles Exercises p.698
12.2 Double Integrals over General Regions Exercises p.707
12.3 Double Integrals in Polar Coordinates Exercises p.713
12.4 Applications of Double Integrals Exercises p.720
12.5 Triple Integrals Exercises p.728
12.6 Triple Integrals in Cylindrical Coordinates Exercises p.734
12.7 Triple Integrals in Spherical Coordinates Exercises p.740
12.8 Change of Variables in Multiple Integrals Exercises p.749
Chapter 12 Review (True-False Quiz) p.751
Chapter 12 Review (Concept Check) p.751
Chapter 12 Review (Exercises) p.752

Chapter 13

Vector Calculus

13.1 Vector Fields Exercises p.760
13.2 Line Integral Exercises p.770
13.3 The Fundamental Theorem for Line Integrals Exercises p.780
13.4 Green's Theorem Exercises p.787
13.5 Curl and Divergence Exercises p.795
13.6 Parametric Surfaces and Their Areas Exercises p.805
13.7 Surface Integrals Exercises p.816
13.8 Stoke's Theorem Exercises p.822
13.9 The Divergence Theorem Exercises p.829
Chapter 13 Review (Concept Check) p.830
Chapter 13 Review (True-False Quiz) p.831
Chapter 13 Review (Exercises) p.831
Stewart Essential Calculus Early Transcendentals, 2nd Edition



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