Calculus of a Single Variable 9th Edition

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ISBN: 9780547209982 | 0547209983
Cover: Hardcover
Copyright: 11/10/2008

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The Larson Calculus program has a long history of innovation in the calculus market. It has been widely praised by a generation of users for its solid and effective pedagogy that addresses the needs of a broad range of teaching and learning styles and environments. Each title is just one component in a comprehensive calculus course program that carefully integrates and coordinates print, media, and technology products for successful teaching and learning.

P. Preparation For Calculus
Graphs and Models
Linear Models and Rates of Change
Functions and Their Graphs
Fitting Models to Data Review Exercises P.S. Problem Solving
Limits And Their Properties
A Preview of Calculus
Finding Limits Graphically and Numerically
Evaluating Limits Analytically
Continuity and One-Sided Limits
Infinite Limits Section Project: Graphs and Limits of Trigonometric Functions Review Exercises P.S. Problem Solving
Differentiation
The Derivative and the Tangent Line Problem
Basic Differentiation Rules and Rates of Change
The Product and Quotient Rules and Higher-Order Derivatives
The Chain Rule
Implicit Differentiation Section Project: Optical Illusions
Related Rates Review Exercises P.S. Problem Solving
Applications Of Differentiation
Extrema on an Interval
Rolle's Theorem and the Mean Value Theorem
Increasing and Decreasing Functions and the First Derivative Test Section Project: Rainbows
Concavity and the Second Derivative TeSt. Limits at Infinity
A Summary of Curve Sketching
Optimization Problems Section Project: Connecticut River
Newton's Method
Differentials Review Exercises P.S. Problem Solving
Integration
Antiderivatives and Indefinite Integration
Area
Riemann Sums and Definite Integrals
The Fundamental Theorem of Calculus Section Project: Demonstrating the Fundamental Theorem
Integration by Substitution
Numerical Integration Review Exercises P.S. Problem Solving
Logarithmic, Exponential, And Other Transcendental Functions
The Natural Logarithmic Function: Differentiation
The Natural Logarithmic Function: Integration
Inverse Functions
Exponential Functions: Differentiation and Integration
Bases Other than e and Applications Section Project: Using Graphing Utilities to Estimate Slope
Inverse Trigonometric Functions: Differentiation
Inverse Trigonometric Functions: Integration
Hyperbolic Functions Section Project: St. Louis Arch Review Exercises P.S. Problem Solving
Differential Equations
Slope Fields and Euler's Method
Differential Equations: \Growth and Decay
Separation of Variables and the Logistic Equation
First-Order Linear Differential Equations Section Project: Weight Loss Review Exercises P.S. Problem Solving
Applications of Integration
Area of a Region Between Two Curves
Volume: The Disk Method
Volume: The Shell Method Section Project: Saturn
Arc Length and Surfaces of Revolution
Work Section Project: Tidal Energy
Moments, Centers of Mass, and Centroids
Fluid Pressure and Fluid Force Review Exercises P.S. Problem Solving
Integration Techniques, L'Hopital's Rule, and Improper Integrals
Basic Integration Rules
Integration by Parts
Trigonometric Integrals Section Project: Power Lines
Trigonometric Substitution
Partial Fractions
Integration by Tables and Other Integration Techniques
Indeterminate Forms and L'Hopital's Rule
Improper Integrals Review Exercises P.S. Problem Solving
Infinite Series
Sequences
Series and Convergence Section Project: Cantor's Disappearing Table
The Integral Test and p-Series Section Project: The Harmonic Series
Comparisons of Series Section Project: Solera Method
Alternating Series
The Ratio and Root Tests
Taylor Polynomials and Approximations
Power Series
Representation of Functions by Power Series
Taylor and Maclaurin Series Review Exercises P.S. Problem Solving
Conics, Parametric Equations, And Polar Coordinates
Conics and Calculus
Plane Curves and Parametric Equations Section Project: Cycloids
Parametric Equations and Calculus
Polar Coordinates and Polar Graphs Section Project: Anamorphic Art
Area and Arc Length in Polar Coordinates
Polar Equations of Conics and Kepler's Laws Review Exercises P.S. Problem Solving
Book Appendices
Proofs of Selected Theorems
Integration Tables
Online Appendices
Precalculus Review (please visit URL to come)
Real Numbers and the Real Number Line
The Cartesian Plane
Review of Trigonometric Functions
Rotation and the General Second-Degree Equation (please visit URL to come)
Complex Numbers (please visit URL to come)
Business and Economic Applications (please visit URL to come)
Table of Contents provided by Publisher. All Rights Reserved.

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Calculus of a Single Variable 9th Edition

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Table of Contents

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