Calculus of a Single Variable

ISBN-10: 0618149163
ISBN-13: 9780618149162
Edition: 7th 2002
List price: $307.95
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Description: Providing a wide variety of teaching and learning techniques, this book allows lecturers to teach the way they want to teach. The book also includes an array of eSolutions for calculus.

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Book details

List price: $307.95
Edition: 7th
Copyright year: 2002
Publisher: CENGAGE Learning
Publication date: 7/13/2001
Binding: Hardcover
Pages: 880
Size: 9.00" wide x 11.00" long x 1.25" tall
Weight: 4.4
Language: English

Providing a wide variety of teaching and learning techniques, this book allows lecturers to teach the way they want to teach. The book also includes an array of eSolutions for calculus.

Bruce Edwards has been a mathematics professor at the University of Florida since 1976. Dr. Edwards majored in mathematics at Stanford University, graduating in 1968. He then joined the Peace Corps and spent four years teaching math in Colombia, South America. He returned to the United States and Dartmouth in 1972, and he received his PhD. in mathematics in 1976. Dr. Edwards' research interests include the area of numerical analysis, with a particular interest in the so-called CORDIC algorithms used by computers and graphing calculators to compute function values. His hobbies include jogging, reading, chess, simulation baseball games, and travel.

The Pennsylvania State University, The Behrend College Bio: Robert P. Hostetler received his Ph.D. in mathematics from The Pennsylvania State University in 1970. He has taught at Penn State for many years and has authored several calculus, precalculus, and intermediate algebra textbooks. His teaching specialties include remedial algebra, calculus, and math education, and his research interests include mathematics education and textbooks.

Note: Each chapter concludes with Review Exercises and P.S. Problem Solving
Preparation for Calculus
Graphs and Models
Linear Models and Rates of Change
Functions and Their Graphs
Fitting Models to Data
Limits and Their Properties
A Preview of Calculus
Finding Limits Graphically and Numerically
Evaluating Limits Analytically
Continuity and One-Sided Limits
Infinite Limits Section Project: Graphs and Limits of Trigonometric Functions
Differentiation
The Derivative and the Tangent Line Problem
Basic Differentiation Rules and Rates of Change
The Product and Quotient Rules and Higher-Order Derivatives
The Chain Rule
Implicit Differentiation Section Project: Optical Illusions
Related Rates
Applications of Differentiation
Extrema on an Interval
Rolle's Theorem and the Mean Value Theorem
Increasing and Decreasing Functions and the First Derivative Test Section Project: Rainbows
Concavity and the Second Derivative Test
Limits at Infinity
A Summary of Curve Sketching
Optimization Problems Section Project: Connecticut River
Newton's Method
Differentials
Integration
Antiderivatives and Indefinite Integration
Area
Reimann Sums and Definite Integrals
The Fundamental Theorem of Calculus Section Project: Demonstrating the Fundamental Theorem
Integration by Substitution
Numerical Integration
Logarithmic, Exponential, and Other Transcendental Functions
The Natural Logarithmic Function: Differentiation
The Natural Logarithmic Function: Integration
Inverse Functions
Exponential Functions: Differentiation and Integration
Bases Other Than e and Applications Section Project: Using Graphing Utilities to Estimate Slope
Differential Equations: Growth and Decay
Differential Equations: Separation of Variables
Inverse Trigonometric Functions: Differentiation
Inverse Trigonometric Functions: Integration
Hyperbolic Functions Section Project: St. Louis Arch
Applications of Integration
Area of a Region Between Two Curves
Volume: The Disk Method
Volume: The Shell Method Section Project: Saturn
Arc Length and Surfaces of Revolution
Work Section Project: Tidal Energy
Moments, Centers of Mass, and Centroids
Fluid Pressure and Fluid Force
Integration Techniques, L'Hocirc;pital's Rule, and Improper Integrals
Basic Integration Rules
Integration by Parts
Trigonometric Integrals Section Project: Power Lines
Trigonometric Substitution
Partial Fractions
Integration by Tables and Other Integration Techniques
Indeterminant Forms and L'Hocirc;pital's Rule
Improper Integrals
Infinite Series
Sequences
Series and Convergence Section Project: Cantor's Disappearing Table
The Integral Test and p-Series Section Project: The Harmonic Series
Comparisons of Series Section Project: Solera Method
Alternating Series
The Ratio and Root Tests
Taylor Polynomials and Approximations
Power Series
Representation of Functions by Power Series
Taylor and Maclaurin Series
Conics, Parametric Equations, and Polar Coordinates
Conics and Calculus
Plane Curves and Parametric Equations Section Project: Cycloids
Parametric Equations and Calculus
Polar Coordinates and Polar Graphs Section Project: Anamorphic Art
Area and Arc Length in Polar Coordinates
Polar Equations of Conics and Kepler's Laws
Appendices
Additional Topics in Differential Equations
Proofs of Selected Theorems
Integration Tables
Precalculus Review
Rotation and the General Second-Degree Equation
Complex Numbers
Business and Economic Applications

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