Test Bank for Calculus Early Transcendentals, 9th Edition By Stewart

Test Bank for Calculus Early Transcendentals, 9th Edition By Stewart

1. Chapter 1: Functions and Models
2. 1.1 Four Ways to Represent a Function
3. 1.2 Mathematical Models: A Catalog of Essential Functions
4. 1.3 New Functions from Old Functions
5. 1.4 Exponential Functions
6. 1.5 Inverse Functions and Logarithms
7. Review
8. Principles of Problem Solving
9. Chapter 2: Limits and Derivatives
10. 2.1 The Tangent and Velocity Problems
11. 2.2 The Limit of a Function
12. 2.3 Calculating Limits Using the Limit Laws
13. 2.4 The Precise Definition of a Limit
14. 2.5 Continuity
15. 2.6 Limits at Infinity; Horizontal Asymptotes
16. 2.7 Derivatives and Rates of Change
17. 2.8 The Derivative as a Function
18. Review
19. Problems Plus
20. Chapter 3: Differentiation Rules
21. 3.1 Derivatives of Polynomials and Exponential Functions
22. 3.2 The Product and Quotient Rules
23. 3.3 Derivatives of Trigonometric Functions
24. 3.4 The Chain Rule
25. 3.5 Implicit Differentiation
26. 3.6 Derivatives of Logarithmic and Inverse Trigonometric Functions
27. 3.7 Rates of Change in the Natural and Social Sciences
28. 3.8 Exponential Growth and Decay
29. 3.9 Related Rates
30. 3.10 Linear Approximations and Differentials
31. 3.11 Hyperbolic Functions
32. Review
33. Problems Plus
34. Chapter 4: Applications of Differentiation
35. 4.1 Maximum and Minimum Values
36. 4.2 The Mean Value Theorem
37. 4.3 What Derivatives Tell Us about the Shape of a Graph
38. 4.4 Indeterminate Forms and l'Hospital's Rule
39. 4.5 Summary of Curve Sketching
40. 4.6 Graphing with Calculus and Technology
41. 4.7 Optimization Problems
42. 4.8 Newton's Method
43. 4.9 Antiderivatives
44. Review
45. Problems Plus
46. Chapter 5: Integrals
47. 5.1 The Area and Distance Problems
48. 5.2 The Definite Integral
49. 5.3 The Fundamental Theorem of Calculus
50. 5.3 Indefinite Integrals and the Net Change Theorem
51. 5.5 The Substitution Rule
52. Review
53. Problems Plus
54. Chapter 6: Applications of Integration
55. 6.1 Areas Between Curves
56. 6.2 Volumes
57. 6.3 Volumes by Cylindrical Shells
58. 6.4 Work
59. 6.5 Average Value of a Function
60. Review
61. Problems Plus
62. Chapter 7: Techniques of Integration
63. 7.1 Integration by Parts
64. 7.2 Trigonometric Integrals
65. 7.3 Trigonometric Substitution
66. 7.4 Integration of Rational Functions by Partial Fractions
67. 7.5 Strategy for Integration
68. 7.6 Integration Using Tables and Technology
69. 7.7 Approximate Integration
70. 7.8 Improper Integrals
71. Review
72. Problems Plus
73. Chapter 8: Further Applications of Integration
74. 8.1 Arc Length
75. 8.2 Area of a Surface of Revolution
76. 8.3 Applications to Physics and Engineering
77. 8.4 Applications to Economics and Biology
78. 8.5 Probability
79. Review
80. Problems Plus
81. Chapter 9: Differential Equations
82. 9.1 Modeling with Differential Equations
83. 9.2 Direction Fields and Euler's Method
84. 9.3 Separable Equations
85. 9.4 Models for Population Growth
86. 9.5 Linear Equations
87. 9.6 Predator-Prey Systems
88. Review
89. Problems Plus
90. Chapter 10: Parametric Equations and Polar Coordinates
91. 10.1 Curves Defined by Parametric Equations
92. 10.2 Calculus with Parametric Curves
93. 10.3 Polar Coordinates
94. 10.4 Calculus in Polar Coordinates
95. 10.5 Conic Sections
96. 10.6 Conic Sections in Polar Coordinates
97. Review
98. Problems Plus
99. Chapter 11: Sequences, Series, and Power Series
100. 11.1 Sequences
101. 11.2 Series
102. 11.3 The Integral Test and Estimates of Sums
103. 11.4 The Comparison Tests
104. 11.5 Alternating Series and Absolute Convergence
105. 11.6 The Ratio and Root Tests
106. 11.7 Strategy for Testing Series
107. 11.8 Power Series
108. 11.9 Representations of Functions as Power Series
109. 11.10 Taylor and Maclaurin Series
110. 11.11 Applications of Taylor Polynomials
111. Review
112. Problems Plus
113. Chapter 12: Vectors and the Geometry of Space
114. 12.1 Three-Dimensional Coordinate Systems
115. 12.2 Vectors
116. 12.3 The Dot Product
117. 12.4 The Cross Product
118. 12.5 Equations of Lines and Planes
119. 12.6 Cylinders and Quadric Surfaces
120. Review
121. Problems Plus
122. Chapter 13: Vector Functions
123. 13.1 Vector Functions and Space Curves
124. 13.2 Derivatives and Integrals of Vector Functions
125. 13.3 Arc Length and Curvature
126. 13.4 Motion in Space: Velocity and Acceleration
127. Review
128. Problems Plus
129. Chapter 14: Partial Derivatives
130. 14.1 Functions of Several Variables
131. 14.2 Limits and Continuity
132. 14.3 Partial Derivatives
133. 14.4 Tangent Planes and Linear Approximations
134. 14.5 The Chain Rule
135. 14.6 Directional Derivatives and the Gradient Vector
136. 14.7 Maximum and Minimum Values
137. 14.8 Lagrange Multipliers
138. Review
139. Problems Plus
140. Chapter 15: Multiple Integrals
141. 15.1 Double Integrals over Rectangles
142. 15.2 Double Integrals over General Regions
143. 15.3 Double Integrals in Polar Coordinates
144. 15.4 Applications of Double Integrals
145. 15.5 Surface Area
146. 15.6 Triple Integrals
147. 15.7 Triple Integrals in Cylindrical Coordinates
148. 15.8 Triple Integrals in Spherical Coordinates
149. 15.9 Change of Variables in Multiple Integrals
150. Review
151. Problems Plus
152. Chapter 16: Vector Calculus
153. 16.1 Vector Fields
154. 16.2 Line Integrals
155. 16.3 The Fundamental Theorem for Line Integrals
156. 16.4 Green's Theorem
157. 16.5 Curl and Divergence
158. 16.6 Parametric Surfaces and Their Areas
159. 16.7 Surface Integrals
160. 16.8 Stokes' Theorem
161. 16.9 The Divergence Theorem
162. 16.10 Summary