Single Variable Calculus Early Transcendentals, Volume 2

by Stewart, James

• ISBN13: 9780495384267
• ISBN10: 0495384267
• Edition: 6th
• Format: Hardcover
• Copyright: 2007-06-20
• Publisher: Brooks Cole

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.