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Stewart Calculus 8E Early Trans
Stewart Calculus 8E Early Trans
ISBN: /
Chapter 1 Functions and Models
1.1 Four Ways to Represent a Function
Exercises
70
p.19
1.2 Mathematical Models
Exercises
6
p.33
1.3 New Functions from Old Functions
Exercises
85
p.42
1.4 Exponential Functions
Exercises
25
p.53
1.5 Tutorials
Exercises
84
p.66
Chapter 2 Limits and Derivatives
2.1 The Tangent and Velocity Problems
14
2.2 The Limit of a Function
51
2.3 Calculating Limits Using Limit Laws
69
2.4 Precise Definition of Limit
9
2.5 Continuity
73
2.6 Limits at Infinity, Horizontal Asymptotes
70
2.7 Derivatives and Rate of Change
52
2.8 The Derivative as a Function
41
Chapter 3 Differentiation Rules
3.1 Derivatives of Polynomials and Exponential Functions
86
3.2 The Product and Quotient Rules
73
3.3 Derivatives of Trigonometric Functions
66
3.4 The Chain Rule
95
3.5 Implicit Differentiation
74
3.6 Derivatives of Logarithmic Functions
55
3.7 Rates of Change in the Natural and Social Sciences
18
3.8 Exponential Growth and Decay
4
3.9 Related Rates
29
3.10
5
Chapter 4 Applications of Differentiation
4.1 Maximum and Minimum Values
32
4.2 The Mean Value Theorem
33
4.3 How Derivatives Affect the Shape of a Graph
32
4.4 Indeterminate Forms and l’Hospital’s Rule
44
4.5 Summary of Curve Sketching
40
4.6 Graphing with Calculus and Calculators
4.7 Optimization Problems
6
4.8 Newton’s Method
4.9 Antiderivatives
75
4.10 Tutorial of Challenging Problems!
2
Chapter 5 Integrals
5.1 Areas and Distances
20
5.2 The Definite Integral
40
5.3 The Fundamental Theorem of Calculus
73
5.4 Indefinite Integrals and the Net Change Theorem
47
5.5 The Substitution Rule
77
5.6 Tutorials
3
Chapter 6 Application of Integration
6.1 Areas Between Curves
42
6.2 Volumes by Disks
44
6.3 Volumes by Cylindrical Shells
36
6.4 Work
10
6.5 Average Value of a Function
22
Chapter 7 Techniques of Integration
7.1 Integration by Parts
63
7.2 Trigonometric Integrals
48
7.3 Trigonometric Substitution
23
7.4 Integration of Rational Functions by Partial Fractions
31
7.7 Errors in Estimated Sums
7
7.8 Improper Integrals
31
Chapter 8 Further Applications of Integration
8.1 Arc Length
7
8.2 Surface Area
9
8.3 Hydrostatic Force and Moment
3
8.4 Applications in Economics & Biology
4
Chapter 9 Differential Equations
9.1 Modelling with Differential Equations
18
9.2 Direction Fields and Euler’s Method
12
9.3 Separable Equations
15
9.4 Models for Population Growth
7
9.5 Linear Equations
2
9.6 Predator-Prey Systems
Chapter 10 Parametric Equations and Polar Coordinates
10.1 Curves Defined by Parametric Equations
13
10.2 Calculus with Parametric Curves
5
10.3 Polar Coordinates
29
10.4 Areas and Lengths in Polar Coordinates
10.5 Conic Sections
10.6 Conic Sections in Polar Coordinates
Chapter 11 Infinite Sequences and Series
11.1 Sequences
31
11.2 Series
28
11.3 The Integral Test and Estimates of Sums
19
11.4 The Comparison Test
24
11.5 Alternating Series
22
11.6 Absolute Convergence and the Ratio and Root Tests
22
11.8 Power Series
19
11.9 Representations of Functions as Power Series
6
11.10 Taylor and Maclaurin Series
3
11.11 Applications of Taylor Polynomials