 # Stewart Calculus, 7th Edition Stewart Calculus, 7th Edition

ISBN: 9780538497817 / 0538497815

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6,836 ### Chapter 1

Functions And Limits

 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 The Tangent and Velocity Problems Exercises p.49 1.5 The Limit of a Function Exercises p.59 1.6 Calculating Limits Using the Limit Laws Exercises p.69 1.7 The Precise Definition of a Limit Exercises p.80 1.8 Continuity Exercises p.90 Concept Check p.93 True-False Quiz p.94 Review Exercises p.95 Problem Solving p.102

### Chapter 2

Derivatives

 2.1 Derivatives and Rates of Change Exercises p.110 2.2 The Derivative as a Function Exercises p.122 2.3 Differentiation Formulas Exercises p.136 2.4 Derivatives of Trigonometric Functions Exercises p.146 2.5 The Chain Rule Exercises p.154 2.6 Implicit Differentiation Exercises p.161 2.7 Rates of Change in the Natural and Social Sciences Exercises p.173 2.8 Related Rates Exercises p.180 2.9 Linear Approximations and Differentials Exercises p.187 Concept Check p.190 True-False Quiz p.190 Review Exercises p.191 Problems Plus p.194

### Chapter 3

Applications Of Differentiation

 3.1 Maximum and Minimum Values Exercises p.204 3.2 The Mean Value Theorem Exercises p.212 3.3 How Derivatives Affect the Shape of a Graph Exercises p.220 3.4 Limits at Infinity; Horizontal Asymptotes Exercises p.234 3.5 Summary of Curve Sketching Exercises p.242 3.6 Graphing with Calculus and Calculators Exercises p.249 3.7 Optimization Problems Exercises p.256 3.8 Newton's Method Exercises p.267 3.9 Antiderivatives Exercises p.273 Concept Check p.275 True-False Quiz p.276 Review Exercises p.276 Problem Solving p.280

### Chapter 4

Integrals

 4.1 Areas and Distances Exercises p.293 4.2 The Definite Integral Exercises p.306 4.3 The Fundamental Theorem of Calculus Exercises p.318 4.4 Indefinite Integrals and the Net Change Theorem Exercises p.326 4.5 The Substitution Rule Exercises p.335 Concept Check p.337 True-False Quiz p.338 Review Exercises p.338 Problems Plus p.342

### Chapter 5

Applications Of Integration

 5.1 Areas Between Curves Exercises p.349 5.2 Volumes Exercises p.360 5.3 Volumes by Cylindrical Shells Exercises p.366 5.4 Work Exercises p.371 5.5 Average Value of a Function Exercises p.375 Concept Check p.377 Review Exercises p.378 Problems Plus p.380

### Chapter 6

Inverse Functions: Exponential, Logarithmic, And Inverse Trigonometric …

 6.1 Inverse Functions Exercises p.390 6.2 Exponential Functions and Their Derivatives Exercises p.401 6.3 Logarithmic Functions Exercises p.408 6.4 Derivatives of Logarithmic Functions Exercises p.418 6.2* The Natural Logarithmic Function Exercises p.428 6.3* The Natural Exponential Function Exercises p.434 6.4* General Logarithmic and Exponential Functions Exercises p.444 6.5 Exponential Growth and Decay Exercises p.451 6.6 Inverse Trigonometric Functions Exercises p.459 6.7 Hyperbolic Functions Exercises p.467 6.8 Indeterminate Forms and l'Hospital's Rule Exercises p.477 Concept Check p.480 True-False Quiz p.481 Review Exercises p.481 Problems Plus p.486

### Chapter 7

Techniques Of Integration

 7.1 Integration by Parts Exercises p.492 7.2 Trigonometric Integrals Exercises p.500 7.3 Trigonometric Substitution Exercises p.507 7.4 Integration of Rational Functions by Partial Fractions Exercises p.516 7.5 Strategy for Integration Exercises p.523 7.6 Integration Using Tables and Computer Algebra Systems Exercises p.528 7.7 Approximate Integration Exercises p.540 7.8 Improper Integrals Exercises p.551 Concept Check p.553 True-False Quiz p.554 Review Exercises p.554 Problems Plus p.558

### Chapter 8

Further Applications Of Integration

 8.1 Arc Length Exercises p.567 8.2 Area of a Surface of Revolution Exercises p.574 8.3 Applications to Physics and Engineering Exercises p.584 8.4 Applications to Economics and Biology Exercises p.590 8.5 Probability Exercises p.597 Concept Check p.599 Review Exercises p.599 Problems Plus p.601

### Chapter 9

Differential Equations

 9.1 Modeling with Differential Equations Exercises p.608 9.2 Direction FIelds and Euler's Method Exercises p.616 9.3 Separable Equations Exercises p.624 9.4 Models for Population Growth Exercises p.637 9.5 Linear Equations Exercises p.644 9.6 Predator-Prey Systems Exercises p.651 Concept Check p.653 True-False Quiz p.653 Review Exercises p.654 Problems Plus p.657

### Chapter 10

Parametric Equations And Polar Coordinates

 10.1 Curves Defined by Parametric Equations Exercises p.665 10.2 Calculus with Parametric Curves Exercises p.675 10.3 Polar Coordinates Exercises p.686 10.4 Areas and Lengths in Polar Coordinates Exercises p.692 10.5 Conic Sections Exercises p.700 10.6 Conic Sections in Polar Coordinates Exercises p.708 Concept Check p.709 True-False Quiz p.709 Review Exercises p.710 Problems Plus p.712

### Chapter 11

Infinite Sequences And Series

 11.1 Sequences Exercises p.724 11.2 Series Exercises p.735 11.3 The Integral Test and Estimates of Sums Exercises p.744 11.4 The Comparison Tests Exercises p.750 11.5 Alternating Series Exercises p.755 11.6 Absolute Convergence and the Ratio and Root Tests Exercises p.761 11.7 Strategy for Testing Series Exercises p.764 11.8 Power Series Exercises p.769 11.9 Representations of Functions as Power Series Exercises p.775 11.10 Taylor and Maclaurin Series Exercises p.789 11.11 Applications of Taylor Polynomials Exercises p.798 Concept Check p.802 True-False Quiz p.802 Review Exercises p.803 Problems Plus p.805

### Chapter 12

Vectors And The Geometry Of Space

 12.1 Three-Dimensional Coordinate Systems Exercises p.814 12.2 Vectors Exercises p.822 12.3 The Dot Product Exercises p.830 12.4 The Cross Product Exercises p.838 12.5 Equations of Lines and Planes Exercises p.848 12.6 Cylinders and Quadric Surfaces Exercises p.856 Concept Check p.858 True-False Quiz p.858 Review Exercises p.859 Problems Plus p.861

### Chapter 13

Vector Functions

 13.1 Vector Functions and Space Curves Exercises p.869 13.2 Derivatives and Integrals of Vector Functions Exercises p.876 13.3 Arc Length and Curvature Exercises p.884 13.4 Motion in Space: Velocity and Acceleration Exercises p.894 Concept Check p.897 True-False Quiz p.897 Review Exercises p.898 Problems Plus p.900

### Chapter 14

Partial Derivatives

 14.1 Functions of Several Variables Exercises p.912 14.2 Limits and Continuity Exercises p.923 14.3 Partial Derivatives Exercises p.935 14.4 Tangent Planes and Linear Approximations Exercises p.946 14.5 The Chain Rule Exercises p.954 14.6 Directional Derivatives and the Gradient Vector Exercises p.967 14.7 Maximum and Minimum Values Exercises p.977 14.8 Lagrange Multipliers Exercises p.987 Concept Check p.991 True-False Quiz p.991 Review Exercises p.992 Problems Plus p.995

### Chapter 15

Multiple Integrals

 15.1 Double Integrals over Rectangles Exercises p.1005 15.2 Iterated Integrals Exercises p.1011 15.3 Double Integrals over General Regions Exercises p.1019 15.4 Double Integrals in Polar Coordinates Exercises p.1026 15.5 Applications of Double Integrals Exercises p.1036 15.6 Surface Area Exercises p.1040 15.7 Triple Integrals Exercises p.1049 15.8 Triple Integrals in Cylindrical Coordinates Exercises p.1055 15.9 Triple Integrals in Spherical Coordinates Exercises p.1061 15.10 Change of Variables in Multiple Integrals Exercises p.1071 Concept Check p.1073 True-False Quiz p.1073 Review Exercises p.1074 Problems Plus p.1077

### Chapter 16

Vector Calculus

 16.1 Vector Fields Exercises p.1085 16.2 Line Integrals Exercises p.1096 16.3 The Fundamental Theorem for Line Integrals Exercises p.1106 16.4 Green's Theorem Exercises p.1113 16.5 Curl and Divergence Exercises p.1121 16.6 Parametric Surfaces and Their Areas Exercises p.1132 16.7 Surface Integrals Exercises p.1144 16.8 Stokes' Theorem Exercises p.1151 16.9 The Divergence Theorem Exercises p.1157 Concept Check p.1160 True-False Quiz p.1160 Review Exercises p.1161 Problems Plus p.1163

### Chapter 17

Second-Order Differential Equations

 17.1 Second-Order Linear Equations Exercises p.1172 17.2 Nonhomogeneous Linear Equations Exercises p.1179 17.3 Applications of Second-Order Differential Equations Exercises p.1187 17.4 Series Solutions Exercises p.1192 Concept Check p.1193 True-False Quiz p.1193 Review Exercises p.1193
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