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Calculus of a Single Variable 9th Edition
ISBN: 9780547209982 | 0547209983
Edition: 9thFormat: Hardcover
Publisher: Cengage Learning
Pub. Date: 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 | |
| Continuit... MORE | |
| 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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