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Essential Calculus, Enhanced Edition (with Enhanced WebAssign with eBook Printed Access Card for Multi Term Math and Science)

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ISBN-10: 0538497416

ISBN-13: 9780538497411

Edition: 2011

Authors: James Stewart

List price: $199.95
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Book details

List price: $199.95
Copyright year: 2011
Publisher: Brooks/Cole
Publication date: 1/1/2010
Binding: Hardcover
Pages: 936
Size: 8.00" wide x 10.00" long x 1.25" tall
Weight: 3.696
Language: English

Functions and Limits
Functions and Their Representations
A Catalog of Essential Functions
The Limit of a Function
Calculating Limits
Continuity
Limits Involving Infinity
Review
Derivatives
Derivatives and Rates of Change
The Derivative as a Function
Basic Differentiation Formulas
The Product and Quotient Rules
The Chain Rule
Implicit Differentiation
Related Rates
Linear Approximations and Differentials
Review
Applications of Differentiation
Maximum and Minimum Values
The Mean Value Theorem
Derivatives and the Shapes of Graphs
Curve Sketching
Optimization Problems
Newton's Method
Antiderivatives
Review
Integrals
Areas and Distances
The Definite Integral
Evaluating Definite Integrals
The Fundamental Theorem of Calculus
The Substitution Rule
Review
Inverse Functions
Inverse Functions
The Natural Logarithmic Function
The Natural Exponential Function
General Logarithmic and Exponential Functions
Exponential Growth and Decay
Inverse Trigonometric Functions
Hyperbolic Functions
Indeterminate Forms and l'Hospital's Rule
Review
Techniques of Integration
Integration by Parts
Trigonometric Integrals and Substitutions
Partial Fractions
Integration with Tables and Computer Algebra Systems
Approximate Integration
Improper Integrals
Review
Applications of Integration
Areas between Curves
Volumes
Volumes by Cylindrical Shells
Arc Length
Applications to Physics and Engineering
Differential Equations
Review
Series
Sequences
Series
The Integral and Comparison Tests
Other Convergence Tests
Power Series
Representing Functions as Power Series
Taylor and Maclaurin Series
Applications of Taylor Polynomials
Review
Parametric Equations and Polar Coordinates
Parametric Curves
Calculus with Parametric Curves
Polar Coordinates
Areas and Lengths in Polar Coordinates
Conic Sections in Polar Coordinates
Review
Vectors and the Geometry of Space
Three-Dimensional Coordinate Systems
Vectors
The Dot Product
The Cross Product
Equations of Lines and Planes
Cylinders and Quadric Surfaces
Vector Functions and Space Curves
Arc Length and Curvature
Motion in Space: Velocity and Acceleration
Review
Partial Derivatives
Functions of Several Variables
Limits and Continuity
Partial Derivatives
Tangent Planes and Linear Approximations
The Chain Rule
Directional Derivatives and the Gradient Vector
Maximum and Minimum Values
Lagrange Multipliers
Review
Multiple Integrals
Double Integrals over Rectangles
Double Integrals over General Regions
Double Integrals in Polar Coordinates
Applications of Double Integrals
Triple Integrals
Triple Integrals in Cylindrical Coordinates
Triple Integrals in Spherical Coordinates
Change of Variables in Multiple Integrals
Review
Vector Calculus. Vector Fields
Line Integrals
The Fundamental Theorem for Line Integrals
Green's Theorem
Curl and Divergence
Parametric Surfaces and Their Areas
Surface Integrals
Stokes' Theorem
The Divergence Theorem
Review
Trigonometry
Proofs
Sigma Notation