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Single Variable Calculus

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ISBN-10: 0538497858

ISBN-13: 9780538497855

Edition: 7th 2012

Authors: James Stewart

List price: $224.95
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Book details

List price: $224.95
Edition: 7th
Copyright year: 2012
Publisher: Brooks/Cole
Publication date: 1/1/2011
Binding: Hardcover
Pages: 648
Size: 8.50" wide x 10.00" long x 1.00" tall
Weight: 3.080
Language: English

James Stewart received his M.S. from Stanford University and his Ph.D. from the University of Toronto. He did research at the University of London and was influenced by the famous mathematician George Polya at Stanford University. Stewart is currently Professor of Mathematics at McMaster University, and his research field is harmonic analysis. Stewart is the author of a best-selling calculus textbook series published by Cengage Learning, including CALCULUS, CALCULUS: EARLY TRANSCENDENTALS, and CALCULUS: CONCEPTS AND CONTEXTS, as well as a series of precalculus texts.

Integrals
Areas and Distances
The Definite Integral
Discovery Project: Area Functions
The Fundamental Theorem of Calculus
Indefinite Integrals and the Net Change Theorem
Writing Project: Newton, Leibniz, and the Invention of Calculus
The Substitution Rule
Review
Problems Plus
Applications Of Integration
Areas Between Curves
Applied Project: The Gini Index
Volume
Volumes by Cylindrical Shells
Work
Average Value of a Function
Review
Problems Plus
Inverse Functions
Exponential, Logarithmic, and Inverse Trigonometric Functions
Inverse Functions. (Instructors may cover either Sections 6.2-6.4 or Sections 6.2*-6.4*. See the Preface.)
Exponential Functions and Their Derivatives
Logarithmic Functions
Derivatives of Logarithmic Functions
The Natural Logarithmic Function
The Natural Exponential Function
General Logarithmic and Exponential Functions
Exponential Growth and Decay
Inverse Trigonometric Functions
Applied Project: Where to Sit at the Movies
Hyperbolic Functions
Indeterminate Forms and l'Hospital's Rule
Writing Project: The Origins of l'Hospital's Rule
Review
Problems Plus
Techniques Of Integration
Integration by Parts
Trigonometric Integrals
Trigonometric Substitution
Integration of Rational Functions by Partial Fractions
Strategy for Integration
Applied Project: Calculus and Baseball
Integration Using Tables and Computer Algebra Systems
Discovery Project: Patterns in Integrals
Approximate Integration
Improper Integrals
Review
Problems Plus
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
Discovery Project: Complementary Coffee Cups
Applications to Economics and Biology
Probability
Review
Problems Plus
Differential Equations
Modeling with Differential Equations
Direction Fields and Euler's Method
Separable Equations
Applied Project: How Fast Does a Tank Drain?
Applied Project: Which is Faster, Going Up or Coming Down?
Models for Population Growth
Linear Equations
Predator-Prey Systems
Review
Problems Plus
Parametric Equations And Polar Coordinates
Curves Defined by Parametric Equations
Laboratory Project: Families of Hypocycloids
Calculus with Parametric Curves
Laboratory Project: B?zier Curves
Polar Coordinates
Laboratory Project: Families of Polar Curves
Areas and Lengths in Polar Coordinates
Conic Sections
Conic Sections in Polar Coordinates
Review
Problems Plus
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
Representations of Functions as Power Series
Taylor and Maclaurin Series
Laboratory Project: An Elusive Limit
Writing Project: How Newton Discovered the Binomial Series
Applications of Taylor Polynomials
Applied Project: Radiation from the Stars
Review
Problems Plus
Appendixes
Intervals, Inequalities, and Absolute Values
Coordinate Geometry and Lines
Graphs of Second-Degree Equations
Trigonometry
Sigma Notation
Proofs of Theorems
Graphing Calculators and Computers
Complex Numbers
Answers to Odd-Numbered Exercises