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bk68: Calculus of a Single Variable 8th Edition by Larson, Hostetler & Edwards
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Standort: Honolulu, Hawaii, USA
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eBay-Artikelnr.:134653903577
Artikelmerkmale
- Artikelzustand
- ISBN
- 9780618503032
Über dieses Produkt
Product Identifiers
Publisher
Cengage Learning
ISBN-10
061850303X
ISBN-13
9780618503032
eBay Product ID (ePID)
9038842520
Product Key Features
Number of Pages
912 Pages
Language
English
Publication Name
Calculus of a Single Variable
Subject
General, Calculus, Algebra / Elementary
Publication Year
2005
Type
Textbook
Subject Area
Mathematics
Format
Hardcover
Dimensions
Item Height
1.2 in
Item Weight
72.9 Oz
Item Length
10.9 in
Item Width
8.8 in
Additional Product Features
Edition Number
8
Intended Audience
College Audience
Illustrated
Yes
Table Of Content
Note: Each chapter contains Review Exercises and Problem Solving.P. Preparation for Calculus P.1 Graphs and Models P.2 Linear Models and Rates of ChangeP.3 Functions and Their GraphsP.4 Fitting Models to Data1. Limits and Their Properties 1.1 A Preview of Calculus1.2 Finding Limits Graphically and Numerically1.3 Evaluating Limits Analytically1.4 Continuity and One-Sided Limits1.5 Infinite LimitsSection Project: Graphs and Limits of Trigonometric Functions2. Differentiation 2.1 The Derivative and the Tangent Line Problem2.2 Basic Differentiation Rules and Rates of Change2.3 Product and Quotient Rules and Higher-Order Derivatives2.4 The Chain Rule2.5 Implicit DifferentiationSection Project: Optical Illusions2.6 Related Rates3. Applications of Differentiation 3.1 Extrema on an Interval 3.2 Rolle's Theorem and the Mean Value Theorem3.3 Increasing and Decreasing Functions and the First Derivative TestSection Project: Rainbows3.4 Concavity and the Second Derivative Test3.5 Limits at Infinity3.6 A Summary of Curve Sketching3.7 Optimization ProblemsSection Project: Connecticut River3.8 Newton's Method3.9 Differentials4. Integration 4.1 Antiderivatives and Indefinite Integration4.2 Area4.3 Riemann Sums and Definite Integrals4.4 The Fundamental Theorem of CalculusSection Project: Demonstrating the Fundamental Theorem4.5 Integration by Substitution4.6 Numerical Integration5. Logarithmic, Exponential, and Other Transcendental Functions 5.1 The Natural Logarithmic Function: Differentiation5.2 The Natural Logarithmic Function: Integration5.3 Inverse Functions5.4 Exponential Functions: Differentiation and Integration5.5 Bases Other Than e and ApplicationsSection Project: Using Graphing Utilities to Estimate Slope5.6 Inverse Trigonometric Functions: Differentiation 5.7 Inverse Trigonometric Functions: Integration 5.8 Hyperbolic Functions Section Project: St. Louis Arch6. Differential Equations 6.1 Slope Fields and Euler's Method 6.2 Differential Equations: Growth and Decay6.3 Separation of Variables and the Logistic Equation 6.4 First-Order Linear Differential Equations Section Project: Weight Loss7. Applications of Integration 7.1 Area of a Region Between Two Curves7.2 Volume: The Disk Method7.3 Volume: The Shell MethodSection Project: Saturn7.4 Arc Length and Surfaces of Revolution7.5 WorkSection Project: Tidal Energy7.6 Moments, Centers of Mass, and Centroids7.7 Fluid Pressure and Fluid Force8. Integration Techniques, L'Hôpital's Rule, and Improper Integrals 8.1 Basic Integration Rules8.2 Integration by Parts8.3 Trigonometric IntegralsSection Project: Power Lines8.4 Trigonometric Substitution8.5 Partial Fractions8.6 Integration by Tables and Other Integration Techniques8.7 Indeterminate Forms and L'Hôpital's Rule8.8 Improper Integrals9. Infinite Series 9.1 Sequences9.2 Series and ConvergenceSection Project: Cantor's Disappearing Table9.3 The Integral Test and p-SeriesSection Project: The Harmonic Series9.4 Comparisons of SeriesSection Project: Solera Method9.5 Alternating Series9.6 The Ratio and Root Tests9.7 Taylor Polynomials and Approximations9.8 Power Series9.9 Representation of Functions by Power Series9.10 Taylor and Maclaurin Series10. Conics, Parametric Equations, and Polar Coordinates 10.1 Conics and Calculus10.2 Plane Curves and Parametric EquationsSection Project: Cycloids10.3 Parametric Equations and Calculus10.4 Polar Coordinates and Polar GraphsSection Project: Anamorphic Art10.5 Area and Arc Length in Polar Coordinates10.6 Polar Equations of Conics and Kepler's LawsAppendices A. Proofs of Selected TheoremsB. Integration TablesC. Additional Topics in Differential Equations (Web and CD-ROM only)D. Precalculus Review (Web and CD-ROM only)E. Rotation and the General Second-Degree Equation (Web and CD-ROM only)F. Complex Numbers (Web and CD-ROM only)G. Business and Economic Applications (Web only)
Synopsis
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, to include exercises involving the use of computers and graphing calculators, to be available in an interactive CD-ROM format, to be offered as a complete, online calculus course, and to offer a two-semester Calculus I with Precalculus text. Every edition of the series 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., 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.
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