Larson, Hostetler, Edwards
Houghton Mifflin College Publishing
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A Word from the Authors (Preface) [xi]
Index of Applications [xxxi] Chapter P Preparation for Calculus 

P.1 Graphs and Models 
P.2 Linear Models and Rates of Change 
P.3 Functions and Their Graphs 
P.4 Fitting Models to Data 
Review Exercises Chapter 1 Limits and Their Properties 

1.1 A Preview of Calculus 
1.2 Finding Limits Graphically and Numerically 
1.3 Evaluating Limits Analytically 
1.4 Continuity and One-Sided Limits 
1.5 Infinite Limits 
Review Exercises Chapter 2 Differentiation 

2.1 The Derivative and the Tangent Line Problem 
2.2 Basic Differentiation Rules and Rates of Change 
2.3 The Product and Quotient Rules and Higher-Order Derivatives 
2.4 The Chain Rule 
2.5 Implicit Differentiation 
2.6 Related Rates 
Review Exercises Chapter 3 Applications of Differentiation 

3.1 Extrema on an Interval 
3.2 Rolle's Theorem and the Mean Value Theorem 
3.3 Increasing and Decreasing Functions and the First Derivative Test 
3.4 Concavity and the Second Derivative Test 
3.5 Limits at Infinity 
3.6 A Summary of Curve Sketching 
3.7 Optimization Problems 
3.8 Newton's Method 
3.9 Differentials 
3.10 Business and Economics Applications 
Review Exercises Chapter 4 Integration 

4.1 Antiderivatives and Indefinite Integration 
4.2 Area 
4.3 Riemann Sums and Definite Integrals 
4.4 The Fundamental Theorem of Calculus 
4.5 Integration by Substitution 
4.6 Numerical Integration 
Review Exercises Chapter 5 Logarithmic, Exponential, and Other Transcendental Functions 

5.1 The Natural Logarithmic Function and Differentiation 
5.2 The Natural Logarithmic Function and Integration 
5.3 Inverse Functions 
5.4 Exponential Functions: Differentiation and Integration 
5.5 Bases Other than e and Applications 
5.6 Differential Equations: Growth and Decay 
5.7 Differential Equations: Separation of Variables 
5.8 Inverse Trigonometric Functions and Differentiation 
5.9 Inverse Trigonometric Functions and Integration 
5.10 Hyperbolic Functions 
Review Exercises Chapter 6 Applications of Integration 

6.1 Area of a Region Between Two Curves 
6.2 Volume: The Disc Method 
6.3 Volume: The Shell Method 
6.4 Arc Length and Surfaces of Revolution 
6.5 Work 
6.6 Moments, Centers of Mass, and Centroids 
6.7 Fluid Pressure and Fluid Force 
Review Exercises Chapter 7 Integration Techniques, L'Hôpital's Rule, and Improper Integrals 

7.1 Basic Integration Rules 
7.2 Integration by Parts 
7.3 Trigonometric Integrals 
7.4 Trigonometric Substitution 
7.5 Partial Fractions 
7.6 Integration by Tables and Other Integration Techniques 
7.7 Indeterminate Forms and L'Hôpital's Rule 
7.8 Improper Integrals 
Review Exercises Chapter 8 Infinite Series

8.1 Sequences 
8.2 Series and Convergence 
8.3 The Integral Test and p-Series 
8.4 Comparisons of Series 
8.5 Alternating Series 
8.6 The Ratio and Root Tests 
8.7 Taylor Polynomials and Approximations 
8.8 Power Series 
8.9 Representation of Functions by Power Series 
8.10 Taylor and Maclaurin Series 
Review Exercises Chapter 9 Conics, Parametric Equations, and Polar Coordinates 

9.1 Conics and Calculus 
9.2 Plane Curves and Parametric Equations 
9.3 Parametric Equations and Calculus 
9.4 Polar Coordinates and Polar Graphs 
9.5 Area and Arc Length in Polar Coordinates 
9.6 Polar Equations of Conics and Kepler's Laws 
Review Exercises Chapter 10 Vectors and the Geometry of Space 

10.1 Vectors in the Plane 
10.2 Space Coordinates and Vectors in Space 
10.3 The Dot Product of Two Vectors 
10.4 The Cross Product of Two Vectors in Space 
10.5 Lines and Planes in Space 
10.6 Surfaces in Space 
10.7 Cylindrical and Spherical Coordinates 
Review Exercises Chapter 11 Vector-Valued Functions 

11.1 Vector-Valued Functions 
11.2 Differentiation and Integration of Vector-Valued Functions 
11.3 Velocity and Acceleration 
11.4 Tangent Vectors and Normal Vectors 
11.5 Arc Length and Curvature 

Review Exercises Chapter 12 Functions of Several Variables 

12.1 Introduction to Functions of Several Variables 
12.2 Limits and Continuity 
12.3 Partial Derivatives 
12.4 Differentials 
12.5 Chain Rules for Functions of Several Variables 
12.6 Directional Derivatives and Gradients 
12.7 Tangent Planes and Normal Lines 
12.8 Extrema of Functions of Two Variables 
12.9 Applications of Extrema of Functions of Two Variables 
12.10 Lagrange Multipliers 
Review Exercises Chapter 13 Multiple Integration 

13.1 Iterated Integrals and Area in the Plane 
13.2 Double Integrals and Volume 
13.3 Change of Variables: Polar Coordinates 
13.4 Center of Mass and Moments of Inertia 
13.5 Surface Area 
13.6 Triple Integrals and Applications 
13.7 Triple Integrals in Cylindrical and Spherical Coordinates 
13.8 Change of Variables: Jacobians 
Review Exercises Chapter 14 Vector Analysis 

14.1 Vector Fields 
14.2 Line Integrals 
14.3 Conservative Vector Fields and Independence of Path 
14.4 Green's Theorem 
14.5 Parametric Surfaces 
14.6 Surface Integrals 
14.7 Divergence Theorem 
14.8 Stokes's Theorem 
Review Exercises Chapter 15 Differential Equations 

15.1 Exact First-Order Equations 
15.2 First-Order Linear Differential Equations 
15.3 Second-Order Homogeneous Linear Equations 
15.4 Second-Order Nonhomogeneous Linear Equations 
15.5 Series Solutions of Differential Equations 
Review Exercises 

Appendix A Precalculus Review [A1]
A.1 Real Numbers and the Real Line [A1]
A.2 The Cartesian Plane [A10]
A.3 Review of Trigonometric Functions [A17]
Appendix B Proofs of Selected Theorems [A28]
Appendix C Basic Differentiation Rules for Elementary Functions [A44]
Appendix D Integration Tables [A45]
Appendix E Rotation and the General Second-Degree Equation [A51]
Appendix F Complex Numbers [A57]