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This is the 4th edition with a publication date of 1/3/2006.
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This volume covers chapters P–9 of Larson et al., Calculus: Early Transcendental Functions, 3/e. For a complete description, see the entry for that text.
Table of Contents
|Note: Each chapter concludes with Review Exercises and P.S. Problem Solving|
|Preparation for Calculus|
|Graphs and Models|
|Linear Models and Rates of Change|
|Functions and Their Graphs|
|Fitting Models to Data|
|Exponential and Logarithmic Functions|
|Limits and Their Properties|
|A Preview of Calculus|
|Finding Limits Graphically and Numerically|
|Evaluating Limits Analytically|
|Continuity and One–Sided Limits|
|Section Project: Graphs and Limits of Trigonometric Functions|
|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|
|Section Project: Optical Illusions|
|Derivatives of Inverse Functions|
|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|
|Section Project: Connecticut River|
|Antiderivatives and Indefinite Integration|
|Riemann Sums and Definite Integrals|
|The Fundamental Theorem of Calculus|
|Section Project: Demonstrating the Fundamental Theorem|
|Integration by Substitution|
|The Natural Logarithmic Function: Integration|
|Inverse Trigonometric Functions: Integration|
|Section Project: St. Louis Arch|
|Slope Fields and Euler's Method|
|Differential Equations: Growth and Decay|
|Differential Equations: Separation of Variables|
|The Logistic Equation|
|First–Order Linear Differential Equations|
|Section Project: Weight Loss|
|Predator–Prey Differential Equations|
|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|
|Section Project: Tidal Energy|
|Moments, Centers of Mass, and Centroids|
|Fluid Pressure and Fluid Force|
|Integration Techniques, L'Hopital's Rule, and Improper Integrals|
|Basic Integration Rules|
|Integration by Parts|
|Section Project: Power Lines|
|Integration by Tables and Other Integration Techniques|
|Indeterminate Forms and L'Hopital's Rule|
|Series and Convergence|
|Section Project: Cantor's Disappearing Table|
|The Integral Test andp–Series|
|Section Project: The Harmonic Series|
|Comparisons of Series|
|Section Project: Solera Method|
|The Ratio and Root Tests|
|Taylor Polynomials and Approximations|
|Representation of Functions by Power Series|
|Taylor and Maclaurin Series|
|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|
|Table of Contents provided by Publisher. All Rights Reserved.|