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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
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