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by Ron Larson First published 1979
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Chapter P
Preparation For Calculus
| p.1 | Graphs and Models | Exercises | p.9 |
| p.2 | Linear Models and Rates of Change | Exercises | p.17 |
| p.3 | Functions and Their Graphs | Exercises | p.28 |
| p.4 | Fitting Models to Data | Exercises | p.34 |
| Review Exercises | p.37 |
Chapter 1
Limits And Their Properties
| 1.1 | A Preview of Calculus | Exercises | p.46 |
| 1.2 | Finding Limits Graphically and Numerically | Exercises | p.53 |
| 1.3 | Evaluating Limits Analytically | Exercises | p.64 |
| 1.4 | Continuity and One-Sided Limits | Exercises | p.75 |
| 1.5 | Infinite Limits | Exercises | p.84 |
| Review Exercises | p.87 |
Chapter 2
Differentiation
| 2.1 | The Derivative and the Tangent Line Problem | Exercises | p.98 |
| 2.2 | Basic Differentiation Rules and Rates of Change | Exercises | p.110 |
| 2.3 | The Product and Quotient Rules and Higher-Order Derivatives | Exercises | p.121 |
| 2.4 | The Chain Rule | Exercises | p.130 |
| 2.5 | Implicit Differentiation | Exercises | p.139 |
| 2.6 | Related Rates | Exercises | p.146 |
| Review Exercises | p.150 |
Chapter 3
Applications Of Differentiation
| 3.1 | Extrema on an Interval | Exercises | p.160 |
| 3.2 | Rolle's Theorem and the Mean Value Theorem | Exercises | p.167 |
| 3.3 | Increasing and Decreasing Functions and the First Derivative Test | Exercises | p.176 |
| 3.4 | Concavity and the Second Derivative Test | Exercises | p.184 |
| 3.5 | Limits at Infinity | Exercises | p.193 |
| 3.6 | A Summary of Curve Sketching | Exercises | p.202 |
| 3.7 | Optimization Problems | Exercises | p.210 |
| 3.8 | Newton's Method | Exercises | p.219 |
| 3.9 | Differentials | Exercises | p.226 |
| 3.10 | Business and Economics Applications | Exercises | p.232 |
| Review Exercises | p.235 |
Chapter 4
Integration
| 4.1 | Antiderivatives and Indefinite Integration | Exercises | p.248 |
| 4.2 | Area | Exercises | p.260 |
| 4.3 | Riemann Sums and Definite Integrals | Exercises | p.271 |
| 4.4 | The Fundamental Theorem of Calculus | Exercises | p.283 |
| 4.5 | Integration by Substitution | Exercises | p.296 |
| 4.6 | Numerical Integration | Exercises | p.304 |
| Review Exercises | p.306 |
Chapter 5
Logarithmic, Exponential, And Other Transcendental Functions
| 5.1 | The Natural Logarithmic Function and Differentiation | Exercises for Section 5.1 | p.318 |
| 5.2 | The Natural Logarithmic Function and Integration | Exercises for Section 5.2 | p.327 |
| 5.3 | Inverse Functions [329] | Exercises for Section 5.3 | p.335 |
| 5.4 | Exponential Functions: Differentiation and Integration | Exercises for Section 5.4 | p.344 |
| 5.5 | Bases Other than e and Applications | Exercises for Section 5.5 | p.354 |
| 5.6 | Differential Equations: Growth and Decay | Exercises for Section 5.6 | p.363 |
| 5.7 | Differential Equations: Separation of Variables | Exercises for Section 5.7 | p.374 |
| 5.8 | Inverse Trigonometric Functions and Differentiation | Exercises for Section 5.8 | p.383 |
| 5.9 | Inverse Trigonometric Functions and Integration | Exercises for Section 5.9 | p.390 |
| 5.10 | Hyperbolic Functions | Exercises for Section 5.10 | p.400 |
| Review Exercises for Chapter 5 | p.402 |
Chapter 6
Applications Of Integration
| 6.1 | Area of a Region Between Two Curves | Exercises for Section 6.1 | p.413 |
| 6.2 | Volume: The Disc Method | Exercises for Section 6.2 | p.423 |
| 6.3 | Volume: The Shell Method | Exercises for Section 6.3 | p.432 |
| 6.4 | Arc Length and Surfaces of Revolution | Exercises for Section 6.4 | p.442 |
| 6.5 | Work | Exercises for Section 6.5 | p.451 |
| 6.6 | Moments, Centers of Mass, and Centroids | Exercises for Section 6.6 | p.462 |
| 6.7 | Fluid Pressure and Fluid Force | Exercises for Section 6.7 | p.469 |
| Review Exercises for Chapter 6 | p.471 |
Chapter 7
Integration Techniques, L'H么pital's Rule, And Improper Integrals
| 7.1 | Basic Integration Rules | Exercises | p.479 |
| 7.2 | Integration by Parts | Exercises | p.487 |
| 7.3 | Trigonometric Integrals | Exercises | p.496 |
| 7.4 | Trigonometric Substitution | Exercises | p.505 |
| 7.5 | Partial Fractions | Exercises | p.515 |
| 7.6 | Integration by Tables and Other Integration Techniques | Exercises | p.521 |
| 7.7 | Indeterminate Forms and L'H么pital's Rule | Exercises | p.530 |
| 7.8 | Improper Integrals | Exercises | p.540 |
| Review Exercises | p.542 |
Chapter 8
Infinite Series
| 8.1 | Sequences | Exercises | p.555 |
| 8.2 | Series and Convergence | Exercises | p.564 |
| 8.3 | The Integral Test and p-Series | Exercises | p.571 |
| 8.4 | Comparisons of Series | Exercises | p.578 |
| 8.5 | Alternating Series | Exercises | p.586 |
| 8.6 | The Ratio and Root Tests | Exercises | p.594 |
| 8.8 | Power Series | Exercises | p.613 |
| 8.9 | Representation of Functions by Power Series | Exercises | p.620 |
| 8.10 | Taylor and Maclaurin Series | Exercises | p.630 |
| Review Exercises | p.632 |
Chapter 9
Conics, Parametric Equations, And Polar Coordinates
| 9.1 | Conics and Calculus | Exercises for Section 9.1 | p.647 |
| 9.2 | Plane Curves and Parametric Equations | Exercises for Section 9.2 | p.659 |
| 9.3 | Parametric Equations and Calculus | Exercises for Section 9.3 | p.668 |
| 9.4 | Polar Coordinates and Polar Graphs | Exercises for Section 9.4 | p.678 |
| 9.5 | Area and Arc Length in Polar Coordinates | Exercises for Section 9.5 | p.687 |
| 9.6 | Polar Equations of Conics and Kepler's Laws | Exercises for Section 9.6 | p.694 |
| Review Exercises for Chapter 9 | p.696 |
Chapter 10
Vectors And The Geometry Of Space
| 10.1 | Vectors in the Plane | Exercises for Section 10.1 | p.708 |
| 10.2 | Space Coordinates and Vectors in Space | Exercises for Section 10.2 | p.717 |
| 10.3 | The Dot Product of Two Vectors | Exercises for Section 10.3 | p.727 |
| 10.4 | The Cross Product of Two Vectors in Space | Exercises for Section 10.4 | p.735 |
| 10.5 | Lines and Planes in Space | Exercises for Section 10.5 | p.744 |
| 10.6 | Surfaces in Space | Exercises for Section 10.6 | p.756 |
| 10.7 | Cylindrical and Spherical Coordinates | Exercises for Section 10.7 | p.763 |
| Review Exercises for Chapter 10 | p.765 |
Chapter 11
Vector-Valued Functions
| 11.1 | Vector-Valued Functions | Exercises for Section 11.1 | p.774 |
| 11.2 | Differentiation and Integration of Vector-Valued Functions | Exercises for Section 11.2 | p.783 |
| 11.3 | Velocity and Acceleration | Exercises for Section 11.3 | p.791 |
| 11.4 | Tangent Vectors and Normal Vectors | Exercises for Section 11.4 | p.800 |
| 11.5 | Arc Length and Curvature | Exercises for Section 11.5 | p.811 |
| Review Exercises for Chapter 11 | p.815 |
Chapter 12
Functions Of Several Variables
| 12.1 | Introduction to Functions of Several Variables | Exercises for Section 12.1 | p.827 |
| 12.2 | Limits and Continuity | Exercises for Section 12.2 | p.837 |
| 12.3 | Partial Derivatives | Exercises for Section 12.3 | p.846 |
| 12.4 | Differentials | Exercises for Section 12.4 | p.855 |
| 12.5 | Chain Rules for Functions of Several Variables | Exercises for Section 12.5 | p.863 |
| 12.6 | Directional Derivatives and Gradients | Exercises for Section 12.6 | p.874 |
| 12.7 | Tangent Planes and Normal Lines | Exercises for Section 12.7 | p.883 |
| 12.8 | Extrema of Functions of Two Variables | Exercises for Section 12.8 | p.892 |
| 12.9 | Applications of Extrema of Functions of Two Variables | Exercises for Section 12.9 | p.898 |
| 12.10 | Lagrange Multipliers | Exercises for Section 12.10 | p.908 |
| Review Exercises for Chapter 12 | p.910 |
Chapter 13
Multiple Integration
| 13.1 | Iterated Integrals and Area in the Plane | Exercises for Section 13.1 | p.921 |
| 13.2 | Double Integrals and Volume | Exercises for Section 13.2 | p.930 |
| 13.3 | Change of Variables: Polar Coordinates | Exercises for Section 13.3 | p.939 |
| 13.4 | Center of Mass and Moments of Inertia | Exercises for Section 13.4 | p.948 |
| 13.5 | Surface Area | Exercises for Section 13.5 | p.955 |
| 13.6 | Triple Integrals and Applications | Exercises for Section 13.6 | p.965 |
| 13.7 | Triple Integrals in Cylindrical and Spherical Coordinates | Exercises for Section 13.7 | p.972 |
| 13.8 | Change of Variables: Jacobians | Exercises for Section 13.8 | p.979 |
| Review Exercises for Chapter 13 | p.980 |
Chapter 14
Calculus Alternate 6th Edition Larson Hostetler Edwards Pdf File Download
Vector Analysis
Calculus Alternate 6th Edition Larson Hostetler Edwards Pdf File Online
| 14.1 | Vector Fields | Exercises for Section 14.1 | p.994 |
| 14.2 | Line Integrals | Exercises for Section 14.2 | p.1006 |
| 14.3 | Conservative Vector Fields and Independence of Path | Exercises for Section 14.3 | p.1016 |
| 14.4 | Green's Theorem | Exercises for Section 14.4 | p.1025 |
| 14.5 | Parametric Surfaces | Exercises for Section 14.5 | p.1035 |
| 14.6 | Surface Integrals | Exercises for Section 14.6 | p.1048 |
| 14.7 | Divergence Theorem | Exercises for Section 14.7 | p.1056 |
| 14.8 | Stokes's Theorem | Exercises for Section 14.8 | p.1063 |
| Review Exercises for Chapter 14 | p.1064 |
Chapter 15
Differential Equations
Calculus Alternate 6th Edition Larson Hostetler Edwards Pdf File Free
| 15.1 | Exact First-Order Equations | Exercises for Section 15.1 | p.1074 |
| 15.2 | First-Order Linear Differential Equations | Exercises for Section 15.2 | p.1082 |
| 15.3 | Second-Order Homogeneous Linear Equations | Exercises for Section 15.3 | p.1091 |
| 15.4 | Second-Order Nonhomogeneous Linear Equations | Exercises for Section 15.4 | p.1099 |
| 15.5 | Series Solutions of Differential Equations | Exercises for Section 15.5 | p.1103 |
| Review Exercises for Chapter 15 | p.1104 |