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Calculus : Concepts and Contexts,9780534376123
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Calculus : Concepts and Contexts

by
Edition:
1st
ISBN13:

9780534376123

ISBN10:
0534376126
Format:
Paperback
Pub. Date:
10/12/1999
Publisher(s):
Brooks Cole
List Price: $138.33

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This is the 1st edition with a publication date of 10/12/1999.
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Table of Contents

Functions and Models
Four Ways to Represent a Function
Mathematical Models
New Functions from Old Functions
Graphing Calculators and Computers
Exponential Functions
Inverse Functions and Logarithms
Parametric Curves
Review
Principles of Problem Solving
Limits And Derivatives
The Tangent and Velocity Problems
The Limit of a Function
Calculating Limits Using the Limit Laws
Continuity
Limits Involving Infinity
Tangents, Velocities, and Other Rates of Change
Derivatives
The Derivative as a Function
Linear Approximations
What does f' say about f?
Review
Focus on Problem Solving
Differentiation Rules
Derivatives of Polynomials and Exponential Functions
The Product and Quotient Rules
Rates of Change in the Natural and Social Sciences
Derivatives of Trigonometric Functions
The Chain Rule
Implicit Differentiation
Derivatives of Logarithmic Functions
Linear Approximations and Differentials
Review
Focus on Problem Solving
Applications of Differentiation
Related Rates
Maximum and Minimum Values
Derivatives and the Shapes of Curves
Graphing with Calculus and Calculators
Indeterminate Forms and l'Hospital's Rule
Optimization Problems
Applications to Economics
Newton's Method
Antiderivatives
Review
Focus on Problem Solving
Integrals
Areas and Distances
The Definite Integral
Evaluating Definite Integrals
The Fundamental Theorem of Calculus
The Substitution Rule
Integration by Parts
Additional Techniques of Integration
Integration Using Tables and Computer Algebra Systems
Approximate Integration
Improper Integrals
Review
Focus on Problem Solving
Applications of Integration
More about Areas
Volumes
Arc Length
Average Value of a Function
Applications to Physics and Engineering
Applications to Economics and Biology
Probability
Review
Focus on Problem Solving
Differential Equations
Modeling with Differential Equations
Direction Fields and Euler's Method
Separable Equations
Exponential Growth and Decay
The Logistic Equation
Predator-Prey Systems
Review
Focus on Problem Solving
Infinite Sequences And Series
Sequences
Series
The Integral and Comparison Tests; Estimating Sums
Other Convergence Tests
Power Series
Representation of Functions as Power Series
Taylor and Maclaurin Series
The Binomial Series
Applications of Taylor Polynomials
Review
Focus on Problem Solving
Vectors And The Geometry Of Space
Three Dimensional Coordinate Systems
Vectors
The Dot Product
The Cross Product
Equations of Lines and Planes
Functions and Surfaces
Cylindrical and Spherical Coordinates
Review
Focus on Problem Solving
Vector Functions
Vector Functions and Space Curves
Derivatives and Integrals of Vector Functions
Arc Length and Curvature
Motion in Space
Parametric Surfaces
Review
Focus on Problem Solving
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
Focus on Problem Solving
Multiple Integrals
Double Integrals over Rectangles
Interated Integrals
Double Integrals over General Regions
Double Integrals in Polar Coordinates
Applications of Double Integrals
Surface Area
Triple Integrals
Triple Integrals in Cylindrical and Spherical Coordinates
Change of Variables in Multiple Integrals
Review
Focus on Problem Solving
Vector Calculus
Vector Fields
Line Integrals
The Fundamental Theorem for Line Integrals
Green's Theorem
Curl and Divergence
Surface Integrals
Stokes' Theorem
The Divergence Theorem
Summary
Review
Focus on Problem Solving
Intervals, Inequalities, And Absolute Values
Coordinate Geometry
Trigonometry
Precise Definitions Of Limits
A Few Proofs
Sigma Notation
Integration Of Rat
Table of Contents provided by Publisher. All Rights Reserved.


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