BOOK
Calculus & Its Applications, Global Edition
Larry J. Goldstein | David I. Schneider | David C. Lay | Nakhle H. Asmar
(2018)
Additional Information
Book Details
Abstract
Calculus & Its Applications, Global Edition
Table of Contents
| Section Title | Page | Action | Price |
|---|---|---|---|
| Cover | Cover | ||
| Inside Front Cover | IFC | ||
| Title Page | 1 | ||
| Copyright Page | 2 | ||
| Contents | 3 | ||
| Preface | 7 | ||
| Acknowledgments | 16 | ||
| Acknowledgments for the Global Edition | 17 | ||
| Prerequisite Skills Diagnostic Test | 18 | ||
| Introduction | 20 | ||
| 0 Functions | 21 | ||
| 0.1 Functions and Their Graphs | 21 | ||
| 0.2 Some Important Functions | 31 | ||
| 0.3 The Algebra of Functions | 39 | ||
| 0.4 Zeros of Functions—The Quadratic Formula and Factoring | 44 | ||
| 0.5 Exponents and Power Functions | 52 | ||
| 0.6 Functions and Graphs in Applications | 60 | ||
| Chapter Summary and Chapter Review Exercises | 70 | ||
| 1 The Derivative | 76 | ||
| 1.1 The Slope of a Straight Line | 77 | ||
| 1.2 The Slope of a Curve at a Point | 86 | ||
| 1.3 The Derivative and Limits | 92 | ||
| 1.4 Limits and the Derivative | 102 | ||
| 1.5 Differentiability and Continuity | 111 | ||
| 1.6 Some Rules for Differentiation | 117 | ||
| 1.7 More about Derivatives | 124 | ||
| 1.8 The Derivative as a Rate of Change | 132 | ||
| Chapter Summary and Chapter Review Exercises | 143 | ||
| 2 Applications of the Derivative | 151 | ||
| 2.1 Describing Graphs of Functions | 151 | ||
| 2.2 The First- and Second-Derivative Rules | 161 | ||
| 2.3 The First- and Second-Derivative Tests and Curve Sketching | 168 | ||
| 2.4 Curve Sketching (Conclusion) | 178 | ||
| 2.5 Optimization Problems | 183 | ||
| 2.6 Further Optimization Problems | 190 | ||
| 2.7 Applications of Derivatives to Business and Economics | 198 | ||
| Chapter Summary and Chapter Review Exercises | 206 | ||
| 3 Techniques of Differentiation | 213 | ||
| 3.1 The Product and Quotient Rules | 213 | ||
| 3.2 The Chain Rule | 222 | ||
| *3.3 Implicit Differentiation and Related Rates | 229 | ||
| Chapter Summary and Chapter Review Exercises | 238 | ||
| 4 The Exponential and Natural Logarithm Functions | 242 | ||
| 4.1 Exponential Functions | 242 | ||
| 4.2 The Exponential Function ex | 246 | ||
| 4.3 Differentiation of Exponential Functions | 252 | ||
| 4.4 The Natural Logarithm Function | 257 | ||
| 4.5 The Derivative of ln x | 261 | ||
| 4.6 Properties of the Natural Logarithm Function | 266 | ||
| Chapter Summary and Chapter Review Exercises | 270 | ||
| 5 Applications of the Exponential and Natural Logarithm Functions | 274 | ||
| 5.1 Exponential Growth and Decay | 274 | ||
| 5.2 Compound Interest | 285 | ||
| 5.3 Applications of the Natural Logarithm Function to Economics | 291 | ||
| 5.4 Further Exponential Models | 298 | ||
| Chapter Summary and Chapter Review Exercises | 308 | ||
| 6 The Definite Integral | 312 | ||
| 6.1 Antidifferentiation | 313 | ||
| 6.2 The Definite Integral and Net Change of a Function | 322 | ||
| 6.3 The Definite Integral and Area under a Graph | 329 | ||
| 6.4 Areas in the xy-Plane | 339 | ||
| 6.5 Applications of the Definite Integral | 352 | ||
| Chapter Summary and Chapter Review Exercises | 360 | ||
| 7 Functions of Several Variables | 368 | ||
| 7.1 Examples of Functions of Several Variables | 368 | ||
| 7.2 Partial Derivatives | 374 | ||
| 7.3 Maxima and Minima of Functions of Several Variables | 382 | ||
| 7.4 Lagrange Multipliers and Constrained Optimization | 390 | ||
| 7.5 The Method of Least Squares | 398 | ||
| 7.6 Double Integrals | 404 | ||
| Chapter Summary and Chapter Review Exercises | 409 | ||
| 8 The Trigonometric Functions | 414 | ||
| 8.1 Radian Measure of Angles | 414 | ||
| 8.2 The Sine and the Cosine | 417 | ||
| 8.3 Differentiation and Integration of sin t and cos t | 423 | ||
| 8.4 The Tangent and Other Trigonometric Functions | 431 | ||
| Chapter Summary and Chapter Review Exercises | 435 | ||
| 9 Techniques of Integration | 440 | ||
| 9.1 Integration by Substitution | 441 | ||
| 9.2 Integration by Parts | 447 | ||
| 9.3 Evaluation of Definite Integrals | 451 | ||
| 9.4 Approximation of Definite Integrals | 455 | ||
| 9.5 Some Applications of the Integral | 464 | ||
| 9.6 Improper Integrals | 469 | ||
| Chapter Summary and Chapter Review Exercises | 474 | ||
| 10 Differential Equations | 480 | ||
| 10.1 Solutions of Differential Equations | 480 | ||
| 10.2 Separation of Variables | 488 | ||
| 10.3 First-Order Linear Differential Equations | 495 | ||
| 10.4 Applications of First-Order Linear Differential Equations | 499 | ||
| 10.5 Graphing Solutions of Differential Equations | 506 | ||
| 10.6 Applications of Differential Equations | 514 | ||
| 10.7 Numerical Solution of Differential Equations | 520 | ||
| Chapter Summary and Chapter Review Exercises | 525 | ||
| 11 Taylor Polynomials and Infinite Series | 532 | ||
| 11.1 Taylor Polynomials | 532 | ||
| 11.2 The Newton–Raphson Algorithm | 540 | ||
| 11.3 Infinite Series | 546 | ||
| 11.4 Series with Positive Terms | 554 | ||
| 11.5 Taylor Series | 560 | ||
| Chapter Summary and Chapter Review Exercises | 567 | ||
| 12 Probability and Calculus | 572 | ||
| 12.1 Discrete Random Variables | 572 | ||
| 12.2 Continuous Random Variables | 578 | ||
| 12.3 Expected Value and Variance | 585 | ||
| 12.4 Exponential and Normal Random Variables | 590 | ||
| 12.5 Poisson and Geometric Random Variables | 599 | ||
| Chapter Summary and Chapter Review Exercises | 606 | ||
| Appendix Areas under the Standard Normal Curve | A-1 | ||
| Learning Objectives (Online) | A-2 | ||
| Sources | S-1 | ||
| Selected Answers | SA-1 | ||
| Index of Applications | IA-1 | ||
| Index | I-1 | ||
| A | I-1 | ||
| B | I-1 | ||
| D | I-2 | ||
| E | I-3 | ||
| F | I-3 | ||
| G | I-4 | ||
| H | I-5 | ||
| I | I-5 | ||
| J | I-5 | ||
| L | I-6 | ||
| M | I-6 | ||
| N | I-6 | ||
| O | I-7 | ||
| P | I-7 | ||
| Q | I-7 | ||
| R | I-8 | ||
| S | I-8 | ||
| T | I-9 | ||
| U | I-9 | ||
| V | I-9 | ||
| W | I-9 | ||
| X | I-10 | ||
| Y | I-10 | ||
| Z | I-10 | ||
| Inside Back Cover | IBC | ||
| Back Cover | Back Cover |