BOOK
Calculus with Applications, Global Edition
Margaret L. Lial | Raymond N. Greenwell | Nathan P. Ritchey
(2016)
Additional Information
Book Details
Abstract
For freshman/sophomore, 2-semester (2-3 quarter) courses covering applied calculus for students in business, economics, social sciences, or life sciences.
Calculus with Applications, Eleventh Edition by Lial, Greenwell, and Ritchey, is our most applied text to date, making the math relevant and accessible for students of business, life science, and social sciences. Current applications, many using real data, are incorporated in numerous forms throughout the book, preparing students for success in their professional careers. With this edition, students will find new ways to help them learn the material, such as Warm-Up Exercises and added “help text” within examples.
Also available with MyMathLab
The MyMathLab® course for the text provides online homework and additional learning resources for students, such as video tutorials, algebra help, step-by-step examples, and graphing calculator help. The course features many more assignable exercises than the previous edition.
MyMathLab not included. Students, if MyMathLab is a recommended/mandatory component of the course, please ask your instructor for the correct ISBN and course ID. MyMathLab should only be purchased when required by an instructor. Instructors, contact your Pearson representative for more information.
Table of Contents
| Section Title | Page | Action | Price |
|---|---|---|---|
| Cover | Cover | ||
| Title Page | 3 | ||
| Copyright Page | 4 | ||
| Contents | 5 | ||
| Preface | 9 | ||
| Prerequisite Skills Diagnostic Test | 19 | ||
| Chapter R: Algebra Reference | R-1 | ||
| R.1. Polynomials | R-2 | ||
| R.2. Factoring | R-5 | ||
| R.3. Rational Expressions | R-8 | ||
| R.4. Equations | R-11 | ||
| R.5. Inequalities | R-17 | ||
| R.6. Exponents | R-21 | ||
| R.7. Radicals | R-26 | ||
| Chapter 1: Linear Functions | 21 | ||
| 1.1. Slopes and Equations of Lines | 22 | ||
| 1.2. Linear Functions and Applications | 37 | ||
| 1.3. The Least Squares Line | 47 | ||
| Chapter 1: Review | 60 | ||
| Extended Application: Using Extrapolation to Predict Life Expectancy | 66 | ||
| Chapter 2: Nonlinear Functions | 68 | ||
| 2.1. Properties of Functions | 69 | ||
| 2.2. Quadratic Functions; Translation and Reflection | 82 | ||
| 2.3. Polynomial and Rational Functions | 96 | ||
| 2.4. Exponential Functions | 109 | ||
| 2.5. Logarithmic Functions | 120 | ||
| 2.6. Applications: Growth and Decay; Mathematics of Finance | 133 | ||
| Chapter 2: Review | 141 | ||
| Extended Application: Power Functions | 149 | ||
| Chapter 3: The Derivative | 153 | ||
| 3.1. Limits | 154 | ||
| 3.2. Continuity | 172 | ||
| 3.3. Rates of Change | 181 | ||
| 3.4. Definition of the Derivative | 194 | ||
| 3.5. Graphical Differentiation | 213 | ||
| Chapter 3: Review | 220 | ||
| Extended Application: A Model for Drugs Administered Intravenously | 226 | ||
| Chapter 4: Calculating the Derivative | 229 | ||
| 4.1. Techniques for Finding Derivatives | 230 | ||
| 4.2. Derivatives of Products and Quotients | 246 | ||
| 4.3. The Chain Rule | 253 | ||
| 4.4. Derivatives of Exponential Functions | 263 | ||
| 4.5. Derivatives of Logarithmic Functions | 271 | ||
| Chapter 4: Review | 278 | ||
| Extended Application: Electric Potential and Electric Field | 283 | ||
| Chapter 5: Graphs and the Derivative | 286 | ||
| 5.1. Increasing and Decreasing Functions | 287 | ||
| 5.2. Relative Extrema | 298 | ||
| 5.3. Higher Derivatives, Concavity, and the Second Derivative Test | 310 | ||
| 5.4. Curve Sketching | 325 | ||
| Chapter 5: Review | 334 | ||
| Extended Application: A Drug Concentration Model for Orally Administered Medications | 338 | ||
| Chapter 6: Applications of the Derivative | 341 | ||
| 6.1. Absolute Extrema | 342 | ||
| 6.2. Applications of Extrema | 351 | ||
| 6.3. Further Business Applications: Economic Lot Size; Economic Order Quantity; Elasticity of Demand | 361 | ||
| 6.4. Implicit Differentiation | 370 | ||
| 6.5. Related Rates | 376 | ||
| 6.6. Differentials: Linear Approximation | 383 | ||
| Chapter 6: Review | 389 | ||
| Extended Application: A Total Cost Model for a Training Program | 393 | ||
| Chapter 7: Integration | 395 | ||
| 7.1. Antiderivatives | 396 | ||
| 7.2. Substitution | 408 | ||
| 7.3. Area and the Definite Integral | 416 | ||
| 7.4. The Fundamental Theorem of Calculus | 428 | ||
| 7.5. The Area Between Two Curves | 438 | ||
| 7.6. Numerical Integration | 447 | ||
| Chapter 7: Review | 456 | ||
| Extended Application: Estimating Depletion Dates for Minerals | 461 | ||
| Chapter 8: Further Techniques and Applications of Integration | 465 | ||
| 8.1. Integration by Parts | 466 | ||
| 8.2. Volume and Average Value | 475 | ||
| 8.3. Continuous Money Flow | 482 | ||
| 8.4. Improper Integrals | 490 | ||
| Chapter 8: Review | 496 | ||
| Extended Application: Estimating Learning Curves in Manufacturing with Integrals | 499 | ||
| Chapter 9: Multivariable Calculus | 502 | ||
| 9.1. Functions of Several Variables | 503 | ||
| 9.2. Partial Derivatives | 514 | ||
| 9.3. Maxima and Minima | 526 | ||
| 9.4. Lagrange Multipliers | 535 | ||
| 9.5. Total Differentials and Approximations | 544 | ||
| 9.6. Double Integrals | 549 | ||
| Chapter 9: Review | 560 | ||
| Extended Application: Using Multivariable Fitting to Create a Response Surface Design | 566 | ||
| Chapter 10: Differential Equations | 570 | ||
| 10.1. Solutions of Elementary and Separable Differential Equations | 571 | ||
| 10.2. Linear First-Order Differential Equations | 585 | ||
| 10.3. Euler’s Method | 591 | ||
| 10.4. Applications of Differential Equations | 598 | ||
| Chapter 10: Review | 606 | ||
| Extended Application: Pollution of the Great Lakes | 611 | ||
| Chapter 11: Probability and Calculus | 614 | ||
| 11.1. Continuous Probability Models | 615 | ||
| 11.2. Expected Value and Variance of Continuous Random Variables | 626 | ||
| 11.3. Special Probability Density Functions | 636 | ||
| Chapter 11: Review | 649 | ||
| Extended Application: Exponential Waiting Times | 654 | ||
| Chapter 12: Sequences and Series | 657 | ||
| 12.1. Geometric Sequences | 658 | ||
| 12.2. Annuities: An Application of Sequences | 663 | ||
| 12.3. Taylor Polynomials at 0 | 673 | ||
| 12.4. Infinite Series | 682 | ||
| 12.5. Taylor Series | 689 | ||
| 12.6. Newton’s Method | 698 | ||
| 12.7. L’Hospital’s Rule | 703 | ||
| Chapter 12: Review | 710 | ||
| Extended Application: Living Assistance and Subsidized Housing | 713 | ||
| Chapter 13: The Trigonometric Functions | 715 | ||
| 13.1. Definitions of the Trigonometric Functions | 716 | ||
| 13.2. Derivatives of Trigonometric Functions | 732 | ||
| 13.3. Integrals of Trigonometric Functions | 744 | ||
| Chapter 13: Review | 752 | ||
| Extended Application: The Shortest Time and the Cheapest Path | 758 | ||
| Appendix A: Solutions to Prerequisite Skills Diagnostic Test | A-1 | ||
| Appendix B: Tables | A-4 | ||
| Answers to Selected Exercises | A-9 | ||
| Credits | C-1 | ||
| Index of Applications | I-1 | ||
| Index | I-5 | ||
| Sources | S-1 | ||
| Key Definitions, Theorems, and Formulas | D-1 | ||
| Back Cover | Back Cover |