9780495384267

Single Variable Calculus Early Transcendentals, Volume 2

by
  • ISBN13:

    9780495384267

  • ISBN10:

    0495384267

  • Edition: 6th
  • Format: Hardcover
  • Copyright: 6/20/2007
  • Publisher: Brooks Cole
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Summary

Success in your calculus course starts here! James Stewart's CALCULUS texts are world-wide best-sellers for a reason: they are clear, accurate, and filled with relevant, real-world examples. With CALCULUS: EARLY TRANCENDENTALS, Sixth Edition, Stewart conveys not only the utility of calculus to help you develop technical competence, but also gives you an appreciation for the intrinsic beauty of the subject. His patient examples and built-in learning aids will help you build your mathematical confidence and achieve your goals in the course!

Table of Contents

Integrals
Areas and Distances
The Definite Integral
Discovery Project: Area Functions
The Fundamental Theorem of Calculus
Indefinite Integrals and the Total Change Theorem
Writing Project: Newton, Leibniz, and the Invention of Calculus
The Substitution Rule
Applications of Integration
Areas between Curves
Volume
Volumes by Cylindrical Shells
Work
Average Value of a Function
Applied Project: Where to Sit at the Movies
Techniques of Integration
Integration by Parts
Trigonometric Integrals
Trigonometric Substitution
Integration of Rational Functions by Partial Fractions
Strategy for Integration
Integration Using Tables and Computer Algebra Systems
Discovery Project: Patterns in Integrals
Approximate Integration
Improper Integrals
Further Applications of Integration
Arc Length
Discovery Project: Arc Length Contest
Area of a Surface of Revolution
Discovery Project: Rotating on a Slant
Applications to Physics and Engineering
Applications to Economics and Biology
Probability
Differential Equations
Modeling with Differential Equations
Direction Fields and Euler?s Method
Separable Equations
Applied Project: Which is Faster, Going Up or Coming Down?
Exponential Growth and Decay
Applied Project: Calculus and Baseball
The Logistic Equation
Linear Equations
Predator-Prey Systems
Parametric Equations and Polar Coordinates
Curves Defined by Parametric Equations
Laboratory Project: Families of Hypocycloids
Tangents and Areas
Laboratory Project: Bezier Curves
Arc Length and Surface Area
Polar Coordinates
Areas and Lengths in Polar Coordinates
Conic Sections
Conic Sections in Polar Coordinates
Applied Project: Transfer Orbits
Infinite Sequences and Series
Sequences
Laboratory Project: Logistic Sequences
Series
The Integral Test and Estimates of Sums
The Comparison Tests
Alternating Series
Absolute Convergence and the Ratio and Root Tests
Strategy for Testing Series
Power Series
Representation of Functions as Power Series
Taylor and Maclaurin Series
The Binomial Series
Writing Project: How Newton Discovered the Binomial Series
Applications of Taylor Polynomials
Applied Project: Radiation from the Stars
Appendixes
Numbers, Inequalities, and Absolute Values
Coordinate Geometry and Lines
Graphs of Second-Degree Equations
Trigonometry
Sigma Notation
Proofs of Theorems
The Logarithm Defined as an Integral
Complex Numbers
Answers to Odd-Numbered Exercises
Table of Contents provided by Publisher. All Rights Reserved.

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