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Calculus I

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ISBN-10: 0618586792

ISBN-13: 9780618586790

Edition: 8th 2006

Authors: Ron Larson, Robert P. Hostetler, Bruce H. Edwards

List price: $179.95
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Description:

Ideal for the single-variable, one calculus course, Calculus I, 8/e, contains the first 6 chapters of Calculus, 8/e. The text continues to offer instructors and students new and innovative teaching and learning resources. The Calculus series was the first to use computer-generated graphics (Third Edition), to include exercises involving the use of computers and graphing calculators (Fourth Edition), to be available in an interactive CD-ROM format (Fifth Edition), to be offered as a complete, online calculus course (Sixth Edition), and to offer a two-semester Calculus I with Precalculus text. Every edition of the book has made the mastery of traditional calculus skills a priority, while…    
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Book details

List price: $179.95
Edition: 8th
Copyright year: 2006
Publisher: CENGAGE Learning
Publication date: 1/20/2005
Binding: Hardcover
Pages: 560
Size: 8.50" wide x 10.50" long x 1.00" tall
Weight: 3.080
Language: English

Ron Larson received his PhD. in mathematics from the University of Colorado and has been a professor of mathematics at The Pennsylvania State University since 1970. He has pioneered the use of multimedia to enhance the learning of mathematics, having authored over 30 software titles since 1990. Dr. Larson has also conducted numerous seminars and in-service workshops for math teachers around the country about using computer technology as a teaching tool and motivational aid. His Interactive Calculus (a complete text on CD-ROM) received the 1996 Texty Award for the most innovative mathematics instructional material at the college level, and it was the first mainstream college textbook to be…    

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.

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.

Note: Each chapter includes Review Exercises and 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
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
Riemann 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
Inverse Trigonometric Functions: Differentiation
Inverse Trigonometric Functions: Integration
Hyperbolic Functions
Section Project: St. Louis Arch
Differential Equations
Slope Fields and Euler's Method
Differential Equations: Growth and Decay
Separation of Variables and the Logistic Equation
First-Order Linear Differential Equations
Section Project: Weight Loss
Appendix
Proofs of Selected Theorems
Integration Tables
Additional Topics in Differential Equations (Web only)
Precalculus Review (Web only)
Rotation and the General Second-Degree Equation (Web only)
Complex Numbers (Web only)
Business and Economic Applications (Web only)