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Tables of Contents for Student Solutions Manual for Stewart's Calculus Single Variable

Chapter/Section Title

Page #

Page Count

Functions and Models

1

31

Four Ways to Represent a Function

1

4

New Functions from Old Functions

5

6

Graphing Calculators and Computers

11

4

Parametric Curves

15

4

Exponential Functions

19

2

Inverse Functions and Logarithms

21

4

Models and Curve Fitting

25

7

Review

27

5

Principles of Problem Solving

32

40

Limits and Derivatives

35

37

The Tangent and Velocity Problems

35

2

The Limit of a Function

37

2

Calculating Limits Using the Limit Laws

39

3

Continuity

42

3

Limits Involving Infinity

45

4

Tangents, Velocities, and Other Rates of Change

49

3

Derivatives

52

3

The Derivative as a Function

55

6

Linear Approximations

61

2

What Does f' Say about f?

63

9

Review

66

6

Focus on Problem Solving

72

36

Differentiation Rules

74

34

Derivatives of Polynomials and Exponential Functions

74

4

The Product and Quotient Rules

78

3

Rates of Change in the Natural and Social Sciences

81

4

Derivatives of Trigonometric Functions

85

3

The Chain Rule

88

5

Implicit Differentiation

93

5

Derivatives of Logarithmic Functions

98

2

Linear Approximations and Differentials

100

8

Review

102

6

Focus on Problem Solving

108

64

Applications of Differentiation

116

56

Related Rates

116

4

Maximum and Minimum Values

120

4

Derivatives and the Shapes of Curves

124

8

Graphing with Calculus and Calculators

132

8

Indeterminate Forms and L'Hospital's Rule

140

5

Optimization Problems

145

6

Applications to Economics

151

2

Newton's Method

153

4

Antiderivatives

157

15

Review

161

11

Focus on Problem Solving

172

44

Integrals

176

40

Areas and Distances

176

5

The Definite Integral

181

3

Evaluating Definite Integrals

184

3

The Fundamental Theorem of Calculus

187

3

The Substitution Rule

190

4

Integration by Parts

194

4

Integration Using Tables and Computer Algebra Systems

198

3

Approximate Integration

201

6

Improper Integrals

207

9

Review

211

5

Focus on Problem Solving

216

28

Applications of Integration

218

26

More about Areas

218

4

Volumes

222

6

Arc Length

228

3

Average Value of a Function

231

1

Applications to Physics and Engineering

232

5

Applications to Economics and Biology

237

1

Probability

238

6

Review

240

4

Focus on Problem Solving

244

27

Differential Equations

247

24

Modeling with Differential Equations

247

2

Direction Fields

249

3

Euler's Method

252

2

Separable Equations

254

4

Exponential Growth and Decay

258

2

The Logistic Equation

260

5

Predator-Prey Systems

265

6

Review

267

4

Focus on Problem Solving

271

50

Infinite Sequences and Series

273

48

Sequences

273

3

Series

276

6

The Integral and Comparison Tests; Estimating Sums

282

3

Other Convergence Tests

285

3

Power Series

288

4

Representations of Functions as Power Series

292

4

Taylor and Maclaurin Series

296

6

The Binomial Series

302

3

Applications of Taylor Polynomials

305

6

Using Series to Solve Differential Equations

311

10

Review

314

7

Focus on Problem Solving

321

4

Appendixes

325

28

A Intervals, Inequalities, and Absolute Values

325

2

B Coordinate Geometry

327

5

C Trigonometry

332

3

D Precise Definitions of Limits

335

3

F Integration of Rational Functions by Partial Fractions

338

4

G Polar Coordinates

342

11

H Complex Numbers

353