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This comprehensive and authentic collection of readings and tools has been designed to prepare students for success in college and beyond. It includes excerpts from books, scholarly journal articles, and primary sources that reflect the kinds of reading material commonly required in higher education. All primary sources are accompanied by helpful background information and discussion questions to aid in comprehension. Organized around key themes that define the experience of college, every volume features pedagogical aids such as introductions to each essay and to each section within each volume, summary charts, quick quizzes, writing exercises to promote critical thinking skills, and more. Because its cornerstone is a unity of content.

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James Maitland Stewart (May 20, 1908 – July 2, 1997) was an American actor. Known for his distinctive drawl and everyman screen persona, Stewart’s film career spanned 80 films from 1935 to 1991. … Born and raised in Indiana, Pennsylvania, Stewart started acting while studying at Princeton University.

## Calculus Early Transcendentals 8th Edition By James Stewart

### 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 |

Review: Concept Check | p.581 | ||

Review: Exercises | p.581 | ||

Problems Plus | p.583 |

### Chapter 9

Differential Equations

9.1 | Modeling with Differential Equations | Exercises | p.590 |

9.2 | Direction Fields and Euler’s Method | Exercises | p.597 |

9.3 | Separable Equations | Exercises | p.605 |

9.4 | Models for Population Growth | Exercises | p.617 |

9.5 | Linear Equations | Exercises | p.625 |

9.6 | Predator-Prey Systems | Exercises | p.631 |

Review: Concept Check | p.634 | ||

Review: True-False Quiz | p.634 | ||

Review: Exercises | p.634 | ||

Problems Plus | p.637 |

### Chapter 10

Parametric Equations And Polar Coordinates

10.1 | Curves Defined by Parametric Equations | Exercises | p.645 |

10.2 | Calculus with Parametric Curves | Exercises | p.655 |

10.3 | Polar Coordinates | Exercises | p.666 |

10.4 | Areas and Lengths in Polar Coordinates | Exercises | p.672 |

10.5 | Conic Sections | Exercises | p.680 |

10.6 | Conic Sections in Polar Coordinates | Exercises | p.688 |

Review: Concept Check | p.689 | ||

Review: True-False Quiz | p.689 | ||

Review: Exercises | p.690 | ||

Problems Plus | p.692 |

### Chapter 11

Infinite Sequences And Series

11.1 | Sequences | Exercises | p.704 |

11.2 | Series | Exercises | p.715 |

11.3 | The Integral Test and Estimates of Sums | Exercises | p.725 |

11.4 | The Comparison Tests | Exercises | p.731 |

11.5 | Alternating Series | Exercises | p.736 |

11.6 | Absolute Convergence and the Ratio and Root Tests | Exercises | p.742 |

11.7 | Strategy for Testing Series | Exercises | p.746 |

11.8 | Power Series | Exercises | p.751 |

11.9 | Representations of Functions as Power Series | Exercises | p.757 |

11.10 | Taylor and Maclaurin Series | Exercises | p.771 |

11.11 | Applications of Taylor Polynomials | Exercises | p.780 |

Review: Concept Check | p.784 | ||

Review: True-False Quiz | p.784 | ||

Review: Exercises | p.785 | ||

Problems Plus | p.787 |

### Chapter 12

Vectors And The Geometry Of Space

12.1 | Three-Dimensional Coordinate Systems | Exercises | p.796 |

12.2 | Vectors | Exercises | p.805 |

12.3 | The Dot Product | Exercises | p.812 |

12.4 | The Cross Product | Exercises | p.821 |

12.5 | Equations of Lines and Planes | Exercises | p.831 |

12.6 | Cylinders and Quadric Surfaces | Exercises | p.839 |

Review: Concept Check | p.841 | ||

Review: True-False Quiz | p.842 | ||

Review: Exercises | p.842 | ||

Problems Plus | p.844 |

### Chapter 13

Vector Functions

13.1 | Vector Functions and Space Curves | Exercises | p.853 |

13.2 | Derivatives and Integrals of Vector Functions | Exercises | p.860 |

13.3 | Arc Length and Curvature | Exercises | p.868 |

13.4 | Motion in Space: Velocity and Acceleration | Exercises | p.878 |

Review: Concept Check | p.881 | ||

Review: True-False Quiz | p.881 | ||

Review: Exercises | p.882 | ||

Problems Plus | p.884 |

### Chapter 14

Partial Derivatives

14.1 | Functions of Several Variables | Exercises | p.899 |

14.2 | Limits and Continuity | Exercises | p.910 |

14.3 | Partial Derivatives | Exercises | p.923 |

14.4 | Tangent Planes and Linear Approximations | Exercises | p.934 |

14.5 | The Chain Rule | Exercises | p.943 |

14.6 | Directional Derivatives and the Gradient Vector | Exercises | p.956 |

14.7 | Maximum and Minimum Values | Exercises | p.967 |

14.8 | Lagrange Multipliers | Exercises | p.977 |

Review: Concept Check | p.981 | ||

Review: True-False Quiz | p.982 | ||

Review: Exercises | p.982 | ||

Problems Plus | p.985 |

### Chapter 15

Multiple Integrals

15.1 | Double Integrals over Rectangles | Exercises | p.999 |

15.2 | Double Integrals over General Regions | Exercises | p.1008 |

15.3 | Double Integrals in Polar Coordinates | Exercises | p.1014 |

15.4 | Applications of Double Integrals | Exercises | p.1024 |

15.5 | Surface Area | Exercises | p.1028 |

15.6 | Triple Integrals | Exercises | p.1037 |

15.7 | Triple Integrals in Cylindrical Coordinates | Exercises | p.1043 |

15.8 | Triple Integrals in Spherical Coordinates | Exercises | p.1049 |

15.9 | Change of Variables in Multiple Integrals | Exercises | p.1060 |

Review: Concept Check | p.1061 | ||

Review: True-False Quiz | p.1061 | ||

Review: Exercises | p.1062 | ||

Problems Plus | p.1065 |

### Chapter 16

Vector Calculus

16.1 | Vector Fields | Exercises | p.1073 |

16.2 | Line Integrals | Exercises | p.1084 |

16.3 | The Fundamental Theorem for Line Integrals | Exercises | p.1094 |

16.4 | Green’s Theorem | Exercises | p.1101 |

16.5 | Curl and Divergence | Exercises | p.1109 |

16.6 | Parametric Surfaces and Their Areas | Exercises | p.1120 |

16.7 | Surface Integrals | Exercises | p.1132 |

16.8 | Stoke’s Theorem | Exercises | p.1139 |

16.9 | The Divergence Theorem | Exercise | p.1145 |

Review: Concept Check | p.1148 | ||

Review: True-False Quiz | p.1148 | ||

Review: Exercises | p.1149 | ||

Problems Plus | p.1151 |

### Chapter 17

Second-Order Differential Equations

17.1 | Second-Order Linear Equations | Exercises | p.1160 |

17.2 | Nonhomogeneous Linear Equations | Exercises | p.1167 |

17.3 | Applications of Second-Order Differential Equations | Exercises | p.1175 |

17.4 | Series Solutions | Exercises | p.1180 |

Review: Concept Check | p.1181 | ||

Review: True-False Quiz | p.1181 | ||

Review: Exercises | p.1181 |