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
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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 |
Review | 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 |
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 |
Review | 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 |
Review | 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 |
Review | 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 |
Review | 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 |
Review | 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 |
Review | 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 |
Review | 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 |
Review | 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 |
Review | p.802 | ||
True-False Quiz | p.802 | ||
Review Exercises | p.803 | ||
Problems Plus | p.805 |
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
Calculus Stewart 7th Edition Pdf Free Download Pdf
Parametric Equations And Polar Coordinates
Calculus Stewart 7th Edition Pdf Free Download Free
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
Multivariable Calculus Stewart 7th Pdf
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
Stewart Calculus 7th Edition Answers
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
Calculus 7th Edition Pdf Free
Second-Order Differential Equations
Calculus Stewart 7th Edition Pdf free download. software
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 |