Single Variable Calculus Concepts and Contexts

ISBN-10: 0534434665

ISBN-13: 9780534434663

Edition: 2nd 2001

Authors: James Stewart

List price: $356.95
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Book details

List price: $356.95
Edition: 2nd
Copyright year: 2001
Publisher: Brooks/Cole
Publication date: 12/13/2000
Binding: Hardcover
Pages: 750
Size: 8.00" wide x 10.00" long x 1.00" tall
Weight: 3.696
Language: English

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
Using Series to Solve Differential Equations
Appendices
Intervals, Inequalities, And Absolute Values
Coordinate Geometry
Trigonometry
Precise Definitions Of Limits
A Few Proofs
Sigma Notation
Integration Of Rational Functions By Partial Fractions
Polar Coordinates
Complex Numbers
Answers To Odd-Numbered Exercises
Index
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