Overview

Designed for the first semester of a three-semester engineering calculus course, Calculus I: Early Transcendental Functions, 4/e, continues to offer instructors and students innovative teaching and learning resources. Two primary objectives guided the authors in the revision of 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 save time. The Larson/Hostetler/Edwards Calculus program offers a solution to address the needs of any calculus course and any level of calculus student. Calculus I: Early Transcendental Functions, 4/e, contains Chapters 1-6 of the full Calculus: Early Transcendental Functions, 4/e, text.Every edition from the first to the fourth of Calculus: Early Transcendental Functions, 4/e, 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 Fourth 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.

Full Product Details

Author:   Ron E. Larson ,  Robert P. Hostetler ,  Bruce H. Edwards
Publisher:   Cengage Learning, Inc
Imprint:   Houghton Mifflin
Edition:   4th Revised edition
Dimensions:   Width: 21.80cm , Height: 2.80cm , Length: 26.90cm
Weight:   1.385kg
ISBN:  

9780618606269

ISBN 10:   0618606262
Pages:   576
Publication Date:   03 January 2006
Audience:   College/higher education ,  Undergraduate
Format:   Hardback
Publisher's Status:   Out of Print
Availability:   In Print  
Limited stock is available. It will be ordered for you and shipped pending supplier's limited stock.

Table of Contents

Note: Each chapter includes Review Exercises and P.S. Problem Solving. 1. Preparation for Calculus 1.1 Graphs and Models 1.2 Linear Models and Rates of Change 1.3 Functions and Their Graphs 1.4 Fitting Models to Data 1.5 Inverse Functions 1.6 Exponential and Logarithmic Functions 2. Limits and Their Properties 2.1 A Preview of Calculus 2.2 Finding Limits Graphically and Numerically 2.3 Evaluating Limits Analytically 2.4 Continuity and One-Sided Limits 2.5 Infinite Limits Section Project: Graphs and Limits of Trigonometric Functions 3. Differentiation 3.1 The Derivative and the Tangent Line Problem 3.2 Basic Differentiation Rules and Rates of Change 3.3 Product and Quotient Rules and Higher-Order Derivatives 3.4 The Chain Rule 3.5 Implicit Differentiation Section Project: Optical Illusions 3.6 Derivatives of Inverse Functions 3.7 Related Rates 3.8 Newton's Method 4. Applications of Differentiation 4.1 Extrema on an Interval 4.2 Rolle's Theorem and the Mean Value Theorem 4.3 Increasing and Decreasing Functions and the First Derivative Test Section Project: Rainbows 4.4 Concavity and the Second Derivative Test 4.5 Limits at Infinity 4.6 A Summary of Curve Sketching 4.7 Optimization Problems Section Project: Connecticut River 4.8 Differentials 5. Integration 5.1 Antiderivatives and Indefinite Integration 5.2 Area 5.3 Riemann Sums and Definite Integrals 5.4 The Fundamental Theorem of Calculus Section Project: Demonstrating the Fundamental Theorem 5.5 Integration by Substitution 5.6 Numerical Integration 5.7 The Natural Logarithmic Function: Integration 5.8 Inverse Trigonometric Functions: Integration 5.9 Hyperbolic Functions Section Project: St. Louis Arch 6. Differential Equations 6.1 Slope Fields and Euler's Method 6.2 Differential Equations: Growth and Decay 6.3 Differential Equations: Separation of Variables 6.4 The Logistic Equation 6.5 First--Order Linear Differential Equations Section Project: Weight Loss 6.6 Predator-Prey Differential Equations Appendices Appendix A Proofs of Selected Theorems Appendix B Integration Tables Appendix C Business and Economic Applications Additional Appendices The following appendices are available at the textbook website, on the HM mathSpace Student CD-ROM, and the HM ClassPrep with HM Testing CD-ROM. Appendix D Precalculus Review Appendix E Rotation and General Second-Degree Equation Appendix F Complex Numbers

Reviews

Author Information

Tab Content 6

Author Website:  

Customer Reviews

Recent Reviews

No review item found!

Add your own review!

Countries Available

All regions