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Thomas' Calculus & Mymath Lab,9780321267146
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Thomas' Calculus & Mymath Lab

by ;
Edition:
11th
ISBN13:

9780321267146

ISBN10:
0321267141
Format:
Package
Pub. Date:
1/1/2005
Publisher(s):
Addison-Wesley
List Price: $195.33
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Table of Contents

(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 Finding Limits
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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