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Stewart Calculus 7E Early Trans
Stewart Calculus 7E Early Trans
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Chapter 1 Functions and Models
1.1 Four Ways to Represent a Function
Exercises
14
p.19
1.2 Mathematical Models A Catalog of Essential Functions
Exercises
9
p.33
1.3 New Functions from Old Functions
Exercises
p.42
1.4 Graphing Calculators and Computers
1.5 Exponential Functions
1.6 Inverse Functions and Logarithms
Chapter 2 Limits and Derivatives
2.1 The Tangent and Velocity Problems
Exercises
23
p.86
2.2 The Limit of a Function
Exercises
35
p.96
2.3 Calculating Limits Using the Limit Laws
Exercises
32
p.106
2.4 The Precise Definition of a Limit
Exercises
p.116
2.5 Continuity
Exercises
23
p.127
2.6 Limits at Infinity, Horizontal Asymptotes
Exercises
28
p.140
2.7 Derivatives of Rates of Change
Exercises
24
p.150
2.8 The Derivative as a Function
Exercises
32
p.162
Chapter 3 Differentiation Rules
3.1 Derivatives of Polynomial and Exponential Functions
Exercises
43
p.181
3.2 The Product and Quotient Rules
Exercises
16
p.189
3.3 Derivatives of Trigonometric Functions
Exercises
43
p.197
3.4 Chain Rule
Exercises
41
p.205
3.5 Implicit Differentiation
Exercises
50
p.215
3.6 Derivatives of Logarithmic Functions
Exercises
37
p.223
3.7 Rates of Change in the Natural and Social Sciences
Exercises
3
p.233
3.8 Exponential Growth and Decay
Exercises
7
p.242
3.9 Related Rates
Exercises
17
p.248
Chapter 4 Applications of Differentiation
4.1 Maximum and Minimum Values
Exercises
34
p.280
4.2 The Mean Value Theorem
Exercises
8
p.288
4.3 How Derivatives Affect the Shape of a Graph
Exercises
27
p.297
4.4 Indeterminate Forms and L'Hospital's Rule
Exercises
7
p.307
4.5 Summary of Curve Sketching
Exercises
6
p.317
4.6 Graphing with Calculus and Calculators
Exercises
p.324
4.7 Optimization Problems
Exercises
5
p.331
4.8 Newton's Method
Exercises
p.342
4.9 Antiderivatives
Exercises
31
p.348
Chapter 5 Integrals
5.1 Area and Distances
Exercises
9
p.369
5.2 Definite Integral
Exercises
15
p.382
5.3 FTC
Exercises
45
p.394
5.4 Indefinite Integrals and the Net Change Theorem
Exercises
p.403
5.5 The Substitution Rule
Exercises
39
p.413
Chapter 6 Applications of Integration
6.1 Areas Between Curves
Exercises
24
p.427
6.2 Volumes
Exercises
20
p.438
6.3 Volumes by Cylindrical Shells
Exercises
15
p.444
6.4 Work
Exercises
5
p.449
6.5 Average Value of a Function
Exercises
11
p.453
Chapter 7 Techniques of Integration
7.1 Integration by Parts
Exercises
36
p.468
7.2 Trigonometric Integrals
Exercises
48
p.476
7.3 Trigonometric Substitution
Exercises
28
p.483
7.4 Integration of Rational Functions by Partial Fractions
Exercises
42
p.492
7.5 Strategy of Integration
Exercises
10
p.499
7.6 Integration Using Tables and Computer Algebra Systems
Exercises
p.504
7.7 Approximate Integration
Exercises
p.516
7.8 Improper Integral
Exercises
34
p.527
Chapter 8 Further Applications of Integration
8.1 Arc Length
Exercises
4
p.543
8.2 Surface Area of Revolution
Exercises
9
p.550
8.3 Applications to Physics and Engineering
Exercises
p.560
8.4 Appliations to Economics and Biolgy
Exercises
p.566
8.5 Probability
Exercises
p.573
Chapter 9 Differential Equations
9.1 Modeling with Differential Equations
Exercises
22
p.584
9.2 Direction Fields and Euler's Method
Exercises
4
p.592
9.3 Separable Eqations
Exercises
9
p.600
9.4 Models for Population Growth
Exercises
2
p.613
9.5 Linear Equations
Exercises
p.620
9.6 Predator-Prey Systems
Exercises
p.627
Chapter 10 Parametric Equations and Polar Coordinates
10.1 Curves Defined by Parametric Equations
Exercises
18
p.641
10.2 Calculus with Parametric Curves
Exercises
9
p.651
10.3 Polar Coordinates
Exercises
46
p.662
10.4 Areas and Lengths in Polar Coordinates
Exercises
p.668
10.5 Conic Sections
Exercises
p.676
10.6 Conic Sections in Polar Coordinates
Exercises
p.684
Chapter 11 Infinite Sequences and Series
11.1 Sequences
Exercises
39
p.700
11.2 Series
Exercises
43
p.711
11.3 Integral Test and Esitmates of Sums
Exercises
25
p.720
11.4 Comparison Tests
Exercises
11
p.726
11.5 Alternating Series
Exercises
26
p.731
11.6 Absolute Convergence and the Ratio and Root Tests
Exercises
28
p.737
11.7 Strategy for Testing Series
Exercises
p.740
11.8 Power Series
Exercises
21
p.745
11.9 Representations of Functions as Power Series
Exercises
20
p.751
11.10 Taylor and McLaraurin Series
Exercises
27
p.765
11.11 Applications of Taylor Polynomials
Exercises
p.774