Chapter 0

Functions And Limits

0.1 Functions and Their Representations Exercises p.8
0.2 A Catalog of Essential Functions Exercises p.21
0.3 The Limit of a Function Exercises p.33
0.4 Calculating Limits Exercises p.43
0.5 Continuity Exercises p.54
0.6 Limits Involving Infinity Exercises p.67
Chapter 0 Review (True-False Quiz) p.70
Chapter 0 Review (Concept Check) p.70
Chapter 0 Review (Exercises) p.71

Chapter 0

Derivatives

0.1 Derivatives and Rates of Change Exercises p.80
0.2 The Derivative as a Function Exercises p.92
0.3 Basic Differentiation Formulas Exercises p.105
0.4 The Product and Quotient Rules Exercises p.112
0.5 The Chain Rule Exercises p.120
0.6 Implicit Differentiation Exercises p.127
0.7 Related Rates Exercises p.132
0.8 Linear Approximations and Differentials Exercises p.138
Chapter 0 Review (True-False Quiz) p.140
Chapter 0 Review (Concept Check) p.140
Chapter 0 Review (Exercises) p.141

Chapter 0

Inverse Functions

0.1 Exponential Functions Exercises p.150
0.2 Inverse Functions and Logarithms Exercises p.161
0.3 Derivatives of Logarithmic and Exponential Functions Exercises p.169
0.4 Exponential Growth and Decay Exercises p.177
0.5 Inverse Trigonometric Functions Exercises p.183
0.6 Hyperbolic Functions Exercises p.189
0.7 Indeterminate Forms and L'Hôpital's Rule Exercises p.197
Chapter 0 Review (Concept Check) p.199
Chapter 0 Review (True-False Quiz) p.199
Chapter 0 Review (Exercises) p.200

Chapter 0

Applications Of Differentiation

0.1 Maximum and Minimum Values Exercises p.208
0.2 The Mean Value Theorem Exercises p.215
0.3 Derivatives and the Shapes of Graphs Exercises p.222
0.4 Curve Sketching Exercises p.230
0.5 Optimization Problems Exercises p.238
0.6 Newton's Method Exercises p.245
0.7 Antiderivatives Exercises p.252
Chapter 0 Review (Concept Check) p.253
Chapter 0 Review (Exercises) p.254
Chapter 0 Review (True-False Quiz) p.254

Chapter 0

Integrals

0.1 Areas and Distances Exercises p.266
0.2 The Definite Integral Exercises p.279
0.3 Evaluating Definite Integrals Exercises p.289
0.4 The Fundamental Theorem of Calculus Exercises p.298
0.5 The Substitution Rule Exercises p.306
Chapter 0 Review (True-False Quiz) p.308
Chapter 0 Review (Concept Check) p.308
Chapter 0 Review (Exercises) p.309

Chapter 0

Techniques Of Integration

0.1 Integration by Parts Exercises p.316
0.2 Trigonometric Integrals and Substitutions Exercises p.326
0.3 Partial Fractions Exercises p.334
0.4 Integration with Tables and Computer Algebra Systems Exercises p.340
0.5 Approximate Integration Exercises p.350
0.6 Improper Integrals Exercises p.360
Chapter 0 Review (Concept Check) p.362
Chapter 0 Review (True-False Quiz) p.362
Chapter 0 Review (Exercises) p.363

Chapter 0

Applications Of Integration

0.1 Areas between Curves Exercises p.369
0.2 Volumes Exercises p.378
0.3 Volumes by Cylindrical Shells Exercises p.384
0.4 Arc Length Exercises p.391
0.5 Area of a Surface of Revolution Exercises p.397
0.6 Applications to Physics and Engineering Exercises p.408
0.7 Differential Equations Exercises p.418
Chapter 0 Review (Concept Check) p.421
Chapter 0 Review (Exercises) p.422

Chapter 0

Series

0.1 Sequences Exercises p.434
0.2 Series Exercises p.443
0.3 The Integral and Comparison Tests Exercises p.452
0.4 Other Convergence Tests Exercises p.463
0.5 Power Series Exercises p.468
0.6 Representing Functions as Power Series Exercises p.474
0.7 Taylor and Maclaurin Series Exercises p.487
0.8 Applications of Taylor Polynomials Exercises p.494
Chapter 0 Review (Concept Check) p.497
Chapter 0 Review (True-False Quiz) p.497
Chapter 0 Review (Exercises) p.498

Chapter 0

Parametric Equations And Polar Coordinates

0.1 Parametric Curves Exercises p.505
0.2 Calculus with Parametric Curves Exercises p.513
0.3 Polar Coordinates Exercises p.522
0.4 Areas and Lengths in Polar Coordinates Exercises p.528
0.5 Conic Sections in Polar Coordinates Exercises p.534
Chapter 0 Review (Concept Check) p.535
Chapter 0 Review (Exercises) p.535
Chapter 0 Review (True-False Quiz) p.535

Chapter 00

Vectors And The Geometry Of Space

00.1 Three-Dimensional Coordinate Systems Exercises p.541
00.2 Vectors Exercises p.549
00.3 The Dot Product Exercises p.556
00.4 The Cross Product Exercises p.564
00.5 Equations of Lines and Planes Exercises p.572
00.6 Cylinders and Quadric Surfaces Exercises p.579
00.7 Vector Functions and Space Curves Exercises p.589
00.8 Arc Length and Curvature Exercises p.598
00.9 Motion in Space: Velocity and Acceleration Exercises p.608
Chapter 00 Review (Concept Check) p.610
Chapter 00 Review (True-False Quiz) p.611
Chapter 00 Review (Exercises) p.612

Chapter 01

Partial Derivatives

01.1 Functions and Several Variables Exercises p.623
01.2 Limits and Continuity Exercises p.632
01.3 Partial Derivatives Exercises p.638
01.4 Tangent Places and Linear Approximations Exercises p.648
01.5 The Chain Rule Exercises p.656
01.6 Directional Derivatives and the Gradient Vector Exercises p.667
01.7 Maximum and Minimum Values Exercises p.675
01.8 Lagrange Multipliers Exercises p.683
Chapter 01 Review (True-False Quiz) p.685
Chapter 01 Review (Concept Check) p.685
Chapter 01 Review (Exercises) p.686

Chapter 02

Multiple Integrals

02.1 Double Integrals over Rectangles Exercises p.698
02.2 Double Integrals over General Regions Exercises p.707
02.3 Double Integrals in Polar Coordinates Exercises p.713
02.4 Applications of Double Integrals Exercises p.720
02.5 Triple Integrals Exercises p.728
02.6 Triple Integrals in Cylindrical Coordinates Exercises p.734
02.7 Triple Integrals in Spherical Coordinates Exercises p.740
02.8 Change of Variables in Multiple Integrals Exercises p.749
Chapter 02 Review (True-False Quiz) p.751
Chapter 02 Review (Concept Check) p.751
Chapter 02 Review (Exercises) p.752

Chapter 03

Vector Calculus

03.1 Vector Fields Exercises p.760
03.2 Line Integral Exercises p.770
03.3 The Fundamental Theorem for Line Integrals Exercises p.780
03.4 Green's Theorem Exercises p.787
03.5 Curl and Divergence Exercises p.795
03.6 Parametric Surfaces and Their Areas Exercises p.805
03.7 Surface Integrals Exercises p.816
03.8 Stoke's Theorem Exercises p.822
03.9 The Divergence Theorem Exercises p.829
Chapter 03 Review (Concept Check) p.830
Chapter 03 Review (True-False Quiz) p.831
Chapter 03 Review (Exercises) p.831
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