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Chapter 1

Preparation For Calculus

1.1	Graphs and Models	Exercises	p.8
1.2	Linear Models and Rates of Change	Exercises	p.16
1.3	Functions and Their Graphs	Exercises	p.27
1.4	Fitting Models to Data	Exercises	p.34
1.5	Inverse Functions	Exercises	p.44
1.6	Exponential and Logarithmic Functions	Exercises	p.53
Review Exercises	p.56
P.S. Problem Solving	p.59

Chapter 2

Limits And Their Properties

2.1	A Preview of Calculus	Exercises	p.67
2.2	Finding Limits Graphically and Numerically	Exercises	p.75
2.3	Evaluating Limits Analytically	Exercises	p.87
2.4	Continuity and One-Sided Limits	Exercises	p.99
2.5	Infinite Limits	Exercises	p.108
Review Exercises	p.111
P.S. Problem Solving	p.113

Chapter 3

Differentiation

3.1	The Derivative and the Tangent Line Problem	Exercises	p.123
3.2	Basic Differentiation Rules and Rates of Change	Exercises	p.135
3.3	Product and Quotient Rules and Higher-Order Derivatives	Exercises	p.146
3.4	The Chain Rule	Exercises	p.160
3.5	Implicit Differentiation	Exercises	p.171
3.6	Derivatives of Inverse Functions	Exercises	p.178
3.7	Related Rates	Exercises	p.186
3.8	Newton's Method	Exercises	p.194
Review Exercises	p.196
P.S. Problem Solving	p.200

Chapter 4

Applications Of Differentiation

4.1	Extrema on an Interval	Exercises	p.207
4.2	Rolle's Theorem and the Mean Value Theorem	Exercises	p.214
4.3	Increasing and Decreasing Functions and the First Derivative Test	Exercises	p.223
4.4	Concavity and the Second Derivative Test	Exercises	p.232
4.5	Limits at Infinity	Exercises	p.242
4.6	A Summary of Curve Sketching	Exercises	p.253
4.7	Optimization Problems	Exercises	p.262
4.8	Differentials	Exercises	p.272
Review Exercises	p.274
P.S. Problem Solving	p.277

Chapter 5

Integration

5.1	Antiderivatives and Indefinite Integration	Exercises	p.287
5.2	Area	Exercises	p.299
5.3	Riemann Sums and Definite Integrals	Exercises	p.309
5.4	The Fundamental Theorem of Calculus	Exercises	p.324
5.5	Integration by Substitution	Exercises	p.337
5.6	Numerical Integration	Exercises	p.346
5.7	The Natural Logarithmic Function: Integration	Exercises	p.354
5.8	Inverse Trigonometric Functions: Integration	Exercises	p.362
5.9	Hyperbolic Functions	Exercises	p.372
Review Exercises	p.375

Chapter 6

Differential Equations

6.1	Slope Fields and Euler's Method	Exercises	p.385
6.2	Differential Equations: Growth and Decay	Exercises	p.394
6.3	Differential Equations: Separation of Variables	Exercises	p.405
6.4	The Logistic Equation	Exercises	p.414
6.5	First-Order Linear Differential Equations	Exercises	p.420
6.6	Predator-Pray Differential Equations	Exercises	p.428
Review Exercises	p.430

Chapter 7

Applications Of Integration

7.1	Area of a Region Between Two Curves	Exercises	p.442
7.2	Volume: The Disk Method	Exercises	p.453
7.3	Volume: The Shell Method	Exercises	p.462
7.4	Arc Length and Surfaces of Revolution	Exercises	p.473
7.5	Work	Exercises	p.483
7.6	Moments, Centers of Mass, and Centroids	Exercises	p.494
7.7	Fluid Pressure and Fluid Force	Exercises	p.501
Review Exercises	p.503

Chapter 8

Integration Techniques, L'Hopital's Rule, And Improper Integrals

8.1	Basic Integration Rules	Exercises	p.512
8.2	Integration by Parts	Exercises	p.521
8.3	Trigonometric Integrals	Exercises	p.530
8.4	Trigonometric Substitution	Exercises	p.539
8.5	Partial Fractions	Exercises	p.549
8.6	Integration by Tables and Other Integration Techniques	Exercises	p.555
8.7	Indeterminate Forms and L'Hopital's Rule	Exercises	p.564
8.8	Improper Integrals	Exercises	p.575
Review Exercises	p.579

Chapter 9

Infinite Series

9.1	Sequences	Exercises	p.592
9.2	Series and Convergence	Exercises	p.601
9.3	The Integral Test and p-Series	Exercises	p.609
9.4	Comparisons of Series	Exercises	p.616
9.5	Alternating Series	Exercises	p.625
9.6	The Ratio and Root Tests	Exercises	p.633
9.7	Taylor Polynomials and Approximations	Exercises	p.644
9.8	Power Series	Exercises	p.654
9.9	Representation of Functions by Power Series	Exercises	p.662
9.10	Taylor and Maclaurin Series	Exercises	p.673
Review Exercises	p.676

Chapter 10

Conics, Parametric Equations, And Polar Coordinates

10.1	Conics and Calculus	Exercises	p.692
10.2	Plane Curves and Parametric Equations	Exercises	p.703
10.3	Parametric Equations and Calculus	Exercises	p.711
10.4	Polar Coordinates and Polar Graphs	Exercises	p.722
10.5	Area and Arc Length in Polar Coordinates	Exercises	p.731
10.6	Polar Equations of Conics and Kepler's Laws	Exercises	p.739
Review Exercises	p.742
Problem Solving	p.745

Chapter 11

Vectors And The Geometry Of Space

11.1	Vectors in the Plane	Exercises	p.755
11.2	Space Coordinates and Vectors in Space	Exercises	p.763
11.3	The Dot Product of Two Vectors	Exercises	p.773
11.4	The Cross Product of Two Vectors in Space	Exercises	p.781
11.5	Lines and Planes in Space	Exercises	p.790
11.6	Surfaces in Space	Exercises	p.802
11.7	Cylindrical and Spherical Coordinates	Exercises	p.809
Review Exercises	p.811
Problem Solving	p.813

Chapter 12

Vector-Valued Functions

12.1	Vector-Valued Functions	Exercises	p.821
12.2	Differentiation and Integration of Vector-Valued Functions	Exercises	p.830
12.3	Velocity and Acceleration	Exercises	p.838
12.4	Tangent Vectors and Normal Vectors	Exercises	p.848
12.5	Arc Length and Curvature	Exercises	p.860
Review Exercises	p.863
Problem Solving	p.865

Chapter 13

Functions Of Several Variables

Calculus Alternate 6th Edition Larson Hostetler Edwards Pdf Editor Free

13.1	Introduction to Functions of Several Variables	Exercises	p.876
13.2	Limits and Continuity	Exercises	p.887
13.3	Partial Derivatives	Exercises	p.896
13.4	Differentials	Exercises	p.905
13.5	Chain Rules for Functions of Several Variables	Exercises	p.913
13.6	Directional Derivatives and Gradients	Exercises	p.924
13.7	Tangent Planes and Normal Lines	Exercises	p.933
13.8	Extrema of Functions of Two Variables	Exercises	p.942
13.9	Applications of Extrema	Exercises	p.949
13.10	Lagrange Multipliers	Exercises	p.958
Review Exercises	p.960
Problem Solving	p.963

Chapter 14

Multiple Integration

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Calculus Alternate 6th Edition Larson Hostetler Edwards Pdf Editor Download

14.1	Iterated Integrals and Area in the Plane	Exercises	p.972
14.2	Double Integrals and Volume	Exercises	p.983
14.3	Change of Variables: Polar Coordinates	Exercises	p.991
14.4	Center of Mass and Moments of Inertia	Exercises	p.1000
14.5	Surface Area	Exercises	p.1007
14.6	Triple Integrals and Applications	Exercises	p.1017
14.7	Triple Integrals in Other Coordinates	Exercises	p.1025
14.8	Change of Variables: Jacobians	Exercises	p.1032
Review Exercises	p.1034
Problem Solving	p.1037

Chapter 15

Calculus Alternate 6th Edition Larson Hostetler Edwards Pdf Editor Pdf

Vector Fields

15.1	Vector Fields	Exercises	p.1049
15.2	Line Integrals	Exercises	p.1061
15.3	Conservative Vector Fields and Independence of Path	Exercises	p.1072
15.4	Green's Theorem	Exercises	p.1081
15.5	Parametric Surfaces	Exercises	p.1091
15.6	Surface Integrals	Exercises	p.1104
15.7	Divergence Theorem	Exercises	p.1112
15.8	Stokes's Theorem	Exercises	p.1119
Review Exercises	p.1120
Problem Solving	p.1123