Calculus of a Single Variable

ISBN-10: 061850303X
ISBN-13: 9780618503032
Edition: 8th 2006
List price: $309.95 Buy it from $23.79 Rent it from $20.90
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Description: Ideal for the single-variable, one-, or two-semester calculus course, "Calculus of a Single Variable, 8/e, contains the first 9 chapters of "Calculus, 8/e. The text continues to offer instructors and students new and innovative teaching and learning  More...

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Book details

List price: $309.95
Edition: 8th
Copyright year: 2006
Publisher: CENGAGE Learning
Publication date: 1/19/2005
Binding: Hardcover
Pages: 912
Size: 7.75" wide x 10.50" long x 1.25" tall
Weight: 4.708
Language: English

Ideal for the single-variable, one-, or two-semester calculus course, "Calculus of a Single Variable, 8/e, contains the first 9 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 embracing the best features of new technology and, when appropriate, calculus reform ideas. Now, the Eighth Edition is the first calculus program to offer algorithmic homework and testing created in Maple so that answers can be evaluated with complete mathematical accuracy. Two primary objectives guided the authors in writing this book: to develop precise, readable materials for students that clearly define and demonstrate concepts and rules of calculus; and to design comprehensive teaching resources for instructors that employ proven pedagogical techniques and saves the instructor time. The Eighth Edition continues to provide an evolving range of conceptual, technological, and creative tools that enable instructors to teach the way they want to teach and students to learn they way they learn best. The Larson program offers a variety of options to address the needs of any calculus course and any level of calculus student, enabling the greatest number ofstudents to succeed.The explanations, theorems, and definitions have been thoroughly and critically reviewed. When necessary, changes have been made to ensure that the text is pedagogically sound, mathematically precise, and comprehensible.The exercise sets have been carefully and extensively examined to ensure they cover all calculus topics appropriately. Many new exercises have been added at the suggestion of a number of calculus instructors.A variety of exercise types are included in each exercise set. Questions involving skills, writing, critical thinking, problem-solving, applications, and real-data applications are included throughout the text. Exercises are presented in a variety of question formats, including matching, free response, true/false, modeling, and fill-in the blank.The Eduspace online resources have been integrated into a comprehensive learning system that combines numerous dynamic calculus resources with online homework and testing materials.The Integrated Learning System addresses the changing needs of today' s instructors and students. Recognizing that the calculus course is presented in a variety of teaching and learning environments, the program resources are available in print, CD-ROM, and online formats.Eduspace, powered by Blackboard provides instructors with online courses and content in multiple disciplines. By pairing the widely recognized tools of Blackboard with quality, text-specific content from Houghton Mifflin (HMCo), Eduspace makes it easy for instructors to create all or part of a course online. Homework exercises, quizzes, tests, tutorials, and supplemental study materials all come ready-to-use. Instructors can choose to use the content asis, modify it, or even add their own. Eduspace with eSolutions combines all the features of Eduspace with an electronic version of the textbook exercises and the complete solutions to the odd-numbered text exercises, providing students with a convenient and comprehensive way to do homework and view the course materials.SMARTHINKING online tutoring brings students real-time, online tutorial support when they need it most.

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.

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 4.2 Area 4.3 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
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\'H?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
Indeterminate Forms and L\'H?pital\'s Rule 8.8 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
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