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Stewart Calculus: Early Transcendentals, 8th Edition Stewart Calculus: Early Transcendentals, 8th Edition
Chapter 1
Functions And Models
| 1.1 | Four Ways to Represent a Function | Exercises | p.19 |
| 1.2 | Mathematical Models: A Catalog of Essential Functions | Exercises | p.33 |
| 1.3 | New Functions from Old Functions | Exercises | p.42 |
| 1.4 | Exponential Functions | Exercises | p.53 |
| 1.5 | Inverse Functions and Logarithms | Exercises | p.66 |
| Review: Concept Check | p.68 | ||
| Review: True-False Quiz | p.69 | ||
| Review: Exercises | p.69 | ||
| Problems Plus | p.76 |
Chapter 2
Limits And Derivatives
| 2.1 | The Tangent and Velocity Problems | Exercises | p.82 |
| 2.2 | The Limit of a Function | Exercises | p.92 |
| 2.3 | Calculating Limits Using the Limit Laws | Exercises | p.102 |
| 2.4 | The Precise Definition of a Limit | Exercises | p.113 |
| 2.5 | Continuity | Exercises | p.124 |
| 2.6 | Limits at Infinity; Horizontal Asymptotes | Exercises | p.137 |
| 2.7 | Derivatives and Rates of Change | Exercises | p.148 |
| 2.8 | The Derivative as a Function | Exercises | p.160 |
| Review: Concept Check | p.165 | ||
| Review: True-False Quiz | p.166 | ||
| Review: Exercises | p.166 | ||
| Problems Plus | p.169 |
Chapter 3
Differentiation Rules
| 3.1 | Derivatives of Polynomials and Exponential Functions | Exercises | p.180 |
| 3.2 | The Product and Quotient Rules | Exercises | p.188 |
| 3.3 | Derivatives of Trigonometric Functions | Exercises | p.196 |
| 3.4 | The Chain Rule | Exercises | p.204 |
| 3.5 | Implicit Differentiation | Exercises | p.215 |
| 3.6 | Derivatives of Logarithmic Functions | Exercises | p.223 |
| 3.7 | Rates of Change in the Natural and Social Sciences | Exercises | p.233 |
| 3.8 | Exponential Growth and Decay | Exercises | p.242 |
| 3.9 | Related Rates | Exercises | p.249 |
| 3.10 | Linear Approximations and Differentials | Exercises | p.256 |
| 3.11 | Hyperbolic Functions | Exercises | p.264 |
| Review: Concept Check | p.266 | ||
| Review: True-False Quiz | p.266 | ||
| Review: Exercises | p.267 | ||
| Problems Plus | p.271 |
Chapter 4
Applications Of Differentiation
| 4.1 | Maximum and Minimum Values | Exercises | p.283 |
| 4.2 | The Mean Value Theorem | Exercises | p.291 |
| 4.3 | How Derivatives Affect the Shape of a Graph | Exercises | p.300 |
| 4.4 | Indeterminate Forms and l'Hospital's Rule | Exercises | p.311 |
| 4.5 | Summary of Curve Sketching | Exercises | p.321 |
| 4.6 | Graphing with Calculus and Calculators | Exercises | p.329 |
| 4.7 | Optimization Problems | Exercises | p.336 |
| 4.8 | Newton's Method | Exercises | p.348 |
| 4.9 | Antiderivatives | Exercises | p.355 |
| Review: Concept Check | p.358 | ||
| Review: True-False Quiz | p.358 | ||
| Review: Exercises | p.359 | ||
| Problems Plus | p.363 |
Chapter 5
Integrals
| 5.1 | Areas and Distances | Exercises | p.375 |
| 5.2 | The Definite Integral | Exercises | p.388 |
| 5.3 | The Fundamental Theorem of Calculus | Exercises | p.399 |
| 5.4 | Indefinite Integrals and the Net Change Theorem | Exercises | p.408 |
| 5.5 | The Substitution Rule | Exercises | p.418 |
| Review: Concept Check | p.421 | ||
| Review: True-False Quiz | p.421 | ||
| Review: Exercises | p.422 | ||
| Problems Plus | p.425 |
Chapter 6
Applications Of Integration
| 6.1 | Areas Between Curves | Exercises | p.434 |
| 6.2 | Volumes | Exercises | p.446 |
| 6.3 | Volumes by Cylindrical Shells | Exercises | p.453 |
| 6.4 | Work | Exercises | p.458 |
| 6.5 | Average Value of a Function | Exercises | p.463 |
| Review: Concept Check | p.466 | ||
| Review: Exercises | p.466 | ||
| Problems Plus | p.468 |
Chapter 7
Techniques Of Integration
| 7.1 | Integration by Parts | Exercises | p.476 |
| 7.2 | Trigonometric Integrals | Exercises | p.484 |
| 7.3 | Trigonometric Substitution | Exercises | p.491 |
| 7.4 | Integration of Rational Functions by Partial Fractions | Exercises | p.501 |
| 7.5 | Strategy for Integration | Exercises | p.507 |
| 7.6 | Integration Using Tables and Computer Algebra Systems | Exercises | p.512 |
| 7.7 | Approximate Integration | Exercises | p.524 |
| 7.8 | Improper Integrals | Exercises | p.534 |
| Review: Concept Check | p.537 | ||
| Review: True-False Quiz | p.537 | ||
| Review: Exercises | p.537 | ||
| Problems Plus | p.541 |
Chapter 8
Further Applications Of Integration
| 8.1 | Arc Length | Exercises | p.548 |
| 8.2 | Area of a Surface of Revolution | Exercises | p.555 |
| 8.3 | Applications to Physics and Engineering | Exercises | p.565 |
| 8.4 | Applications to Economics and Biology | Exercises | p.572 |
| 8.5 | Probability | Exercises | p.579 |
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