Calculus II / Edition 8

Calculus II / Edition 8

by Ron Larson, Bruce H. Edwards, Robert P. Hostetler
     
 

ISBN-10: 0618512667

ISBN-13: 9780618512669

Pub. Date: 01/24/2005

Publisher: Cengage Learning

Created specifically for a Calculus II course and as a second volume for students who have completed either the Larson team's Calculus I, 8/e, or Calculus I with Precalculus, 2/e text, Calculus II, 8/e, comprises chapters 6-10 of the full Calculus, 8/e, text. The text continues to offer instructors and students new and innovative teaching and learning resources.

Overview

Created specifically for a Calculus II course and as a second volume for students who have completed either the Larson team's Calculus I, 8/e, or Calculus I with Precalculus, 2/e text, Calculus II, 8/e, comprises chapters 6-10 of the full Calculus, 8/e, text. 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.

Product Details

ISBN-13:
9780618512669
Publisher:
Cengage Learning
Publication date:
01/24/2005
Edition description:
Student
Pages:
496
Product dimensions:
8.50(w) x 10.60(h) x 0.90(d)

Related Subjects

Table of Contents

Note: Each chapter includes Review Exercises and Problem Solving. 7. Applications of Integration 7.1 Area of a Region Between Two Curves 7.2 Volume: The Disk Method 7.3 Volume: The Shell Method Section Project: Saturn 7.4 Arc Length and Surfaces of Revolution 7.5 Work Section Project: Tidal Energy 7.6 Moments, Centers of Mass, and Centroids 7.7 Fluid Pressure and Fluid Force 8. Integration Techniques, L'Hôpital's Rule, and Improper Integrals 8.1 Basic Integration Rules 8.2 Integration by Parts 8.3 Trigonometric Integrals Section Project: Power Lines 8.4 Trigonometric Substitution 8.5 Partial Fractions 8.6 Integration by Tables and Other Integration Techniques 8.7 Indeterminate Forms and L'Hôpital's Rule 8.8 Improper Integrals 9. Infinite Series 9.1 Sequences 9.2 Series and Convergence Section Project: Cantor's Disappearing Table 9.3 The Integral Test and p-Series Section Project: The Harmonic Series 9.4 Comparisons of Series Section Project: Solera Method 9.5 Alternating Series 9.6 The Ratio and Root Tests 9.7 Taylor Polynomials and Approximations 9.8 Power Series 9.9 Representation of Functions by Power Series 9.10 Taylor and Maclaurin Series 10. Conics, Parametric Equations, and Polar Coordinates 10.1 Conics and Calculus 10.2 Plane Curves and Parametric Equations Section Project: Cycloids 10.3 Parametric Equations and Calculus 10.4 Polar Coordinates and Polar Graphs Section Project: Anamorphic Art 10.5 Area and Arc Length in Polar Coordinates 10.6 Polar Equations of Conics and Kepler's Laws 11. Vectors and the Geometry of Space 11.1 Vectors in the Plane 11.2 Space Coordinates and Vectors in Space 11.3 The Dot Product of Two Vectors 11.4 The Cross Product of Two Vectors in Space 11.5 Lines and Planes in Space Section Project: Distances in Space 11.6 Surfaces in Space 11.7 Cylindrical and Spherical Coordinates Appendices A. Proofs of Selected Theorems B. Integration Tables C. Additional Topics in Differential Equations (Web only) D. Precalculus Review (Web only) E. Rotation and the General Second-Degree Equation (Web only) F. Complex Numbers (Web only) G. Business and Economic Applications (Web only)

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