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Thomas' Calculus & Mymath Lab
ISBN: 9780321267146 | 0321267141
Edition: 11thFormat: Package
Publisher: Addison-Wesley
Pub. Date: 1/1/2005
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| (NOTE: Every chapter ends with Questions to Guide Your Review, Practice Exercises, and Additional Exercises.) | |
| P. Preliminaries | |
| Real Numbers and the Real Line | |
| Coordinates, Lines, and Increments | |
| Functions | |
| Shifting Graphs | |
| Trigonometric Functions | |
| Limits and Continuity | |
| Rates of Change and Limits | |
| Rules for... MORE | |
| Target Values and Formal Definitions of Limits | |
| Extensions of the Limit Concept | |
| Continuity | |
| Tangent Lines | |
| Derivatives | |
| The Derivative of a Function | |
| Differentiation Rules | |
| Rates of Change | |
| Derivatives of Trigonometric Functions | |
| The Chain Rule | |
| Implicit Differentiation and Rational Exponents | |
| Related Rates of Change | |
| Applications of Derivatives | |
| Extreme Values of Functions | |
| The Mean Value Theorem | |
| The First Derivative Test for Local Extreme Values | |
| Graphing with y e and y deg | |
| Limits as x aelig; a, Asymptotes, and Dominant Terms | |
| Optimization Linearization and Differentials | |
| Newton's Method | |
| Integration | |
| Indefinite Integrals | |
| Differential Equations, Initial Value Problems, and Mathematical Modeling | |
| Integration by Substitution-Running the Chain Rule Backward | |
| Estimating with Finite Sums | |
| Riemann Sums and Definite Integrals | |
| Properties, Area, and the Mean Value Theorem | |
| Substitution in Definite Integrals | |
| Numerical Integration | |
| Applications of Integrals | |
| Areas Between Curves | |
| Finding Volumes by Slicing | |
| Volumes of Solids of Revolution-Disks and Washers | |
| Cylindrical Shells Lengths of Plan Curves | |
| Areas of Surfaces of Revolution | |
| Moments and Centers of Mass | |
| Work | |
| Fluid Pressures and Forces | |
| The Basic Pattern and Other Modeling Applications | |
| Transcendental Functions | |
| Inverse Functions and Their Derivatives | |
| Natural Logarithms | |
| The Exponential Function | |
| ax and logax | |
| Growth and Decay | |
| L'Hocirc;pital's Rule | |
| Relative Rates of Growth | |
| Inverse Trigonomic Functions | |
| Derivatives of Inverse Trigonometric Functions; Integrals | |
| Hyperbolic Functions | |
| First Order Differential Equations | |
| Euler's Numerical Method; Slope Fields | |
| Techniques of Integration | |
| Basic Integration Formulas | |
| Integration by Parts | |
| Partial Fractions | |
| Trigonometric Substitutions | |
| Integral Tables and CAS | |
| Improper Integrals | |
| Infinite Series | |
| Limits of Sequences of Numbers | |
| Theorems for Calculating Limits of Sequences | |
| Infinite Series | |
| The Integral Test for Series of Nonnegative Terms | |
| Comparison Tests for Series of Nonnegative Terms | |
| The Ratio and Root Tests for Series of Nonnegative Terms | |
| Alternating Series, Absolute and Conditional Convergence | |
| Power Series | |
| Taylor and Maclaurin Series | |
| Convergence of Taylor Series; Error Estimates | |
| Applications of Power Series | |
| Conic Sections, Parametrized Curves, and Polar Coordinates | |
| Conic Sections and Quadratic Equations | |
| Classifying Conic Sections by Eccentricity | |
| Quadratic Equations and Rotations | |
| Parametrizations of Plan Curves | |
| Calculus with Parametrized Curves | |
| Polar Coordinates | |
| Graphing in Polar Coordinates | |
| Polar Equations for Conic Sections | |
| Integration in Polar Coordinates | |
| Vectors and Analytic Geometry in Space | |
| Vectors in the Plane | |
| Cartesian (Rectangular) Coordinates and Vectors in Space | |
| Dot Products | |
| Cross Products | |
| Lines and Planes in Space | |
| Cylinders and Quadric Surfaces | |
| Cylindrical and Spherical Coordinates | |
| Vector-Valued Functions and Motion in Space | |
| Vector-Valued Functions and Space Curves | |
| Modeling Projectile Motion | |
| Arc Length and the Unit Tangent Vector T | |
| Curvature, Torison, and the TNB Frame | |
| Table of Contents provided by Publisher. All Rights Reserved. |
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