Calculus of a Single Variable 10th Edition Larson Test Bank

1. Ch P: Preparation for Calculus
2. P.1 Graphs and Models
3. P.2 Linear Models and Rates of Change
4. P.3 Functions and Their Graphs
5. P.4 Fitting Models to Data
6. Review Exercises
7. P.S. Problem Solving
8. Ch 1: Limits and Their Properties
9. 1.1 A Preview of Calculus
10. 1.2 Finding Limits Graphically and Numerically
11. 1.3 Evaluating Limits Analytically
12. 1.4 Continuity and One-Sided Limits
13. 1.5 Infinite Limits
14. Review Exercises
15. P.S. Problem Solving
16. Ch 2: Differentiation
17. 2.1 The Derivative and the Tangent Line Problem
18. 2.2 Basic Differentiation Rules and Rates of Change
19. 2.3 Product and Quotient Rules and Higher-Order Derivatives
20. 2.4 The Chain Rule
21. 2.5 Implicit Differentiation
22. 2.6 Related Rates
23. Review Exercises
24. P.S. Problem Solving
25. Ch 3: Applications of Differentiation
26. 3.1 Extrema on an Interval
27. 3.2 Rolle’s Theorem and the Mean Value Theorem
28. 3.3 Increasing and Decreasing Functions and the First Derivative Test
29. 3.4 Concavity and the Second Derivative Test
30. 3.5 Limits at Infinity
31. 3.6 A Summary of Curve Sketching
32. 3.7 Optimization Problems
33. 3.8 Newton’s Method
34. 3.9 Differentials
35. Review Exercises
36. P.S. Problem Solving
37. Ch 4: Integration
38. 4.1 Antiderivatives and Indefinite Integration
39. 4.2 Area
40. 4.3 Riemann Sums and Definite Integrals
41. 4.4 The Fundamental Theorem of Calculus
42. 4.5 Integration by Substitution
43. 4.6 Numerical Integration
44. Review Exercises
45. P.S. Problem Solving
46. Ch 5: Logarithmic, Exponential, and Other Transcendental Functions
47. 5.1 The Natural Logarithmic Function: Differentiation
48. 5.2 The Natural Logarithmic Function: Integration
49. 5.3 Inverse Functions
50. 5.4 Exponential Functions: Differentiation and Integration
51. 5.5 Bases Other Than e and Applications
52. 5.6 Inverse Trigonometric Functions: Differentiation
53. 5.7 Inverse Trigonometric Functions: Integration
54. 5.8 Hyperbolic Functions
55. Review Exercises
56. P.S. Problem Solving
57. Ch 6: Differential Equations
58. 6.1 Slope Fields and Euler’s Method
59. 6.2 Differential Equations: Growth and Decay
60. 6.3 Separation of Variables and the Logistic Equation
61. 6.4 First-Order Linear Differential Equations
62. Review Exercises
63. P.S. Problem Solving
64. Ch 7: Applications of Integration
65. 7.1 Area of a Region between Two Curves
66. 7.2 Volume: The Disk Method
67. 7.3 Volume: The Shell Method
68. 7.4 Arc Length and Surfaces of Revolution
69. 7.5 Work
70. 7.6 Moments, Centers of Mass, and Centroids
71. 7.7 Fluid Pressure and Fluid Force
72. Review Exercises
73. P.S. Problem Solving
74. Ch 8: Integration Techniques, L’Hopital’s Rule, and Improper Integrals
75. 8.1 Basic Integration Rules
76. 8.2 Integration by Parts
77. 8.3 Trigonometric Integrals
78. 8.4 Trigonometric Substitution
79. 8.5 Partial Fractions
80. 8.6 Integration by Tables and Other Integration Techniques
81. 8.7 Indeterminate Forms and L’Hopital’s Rule
82. 8.8 Improper Integrals
83. Review Exercises
84. P.S. Problem Solving
85. Ch 9: Infinite Series
86. 9.1 Sequences
87. 9.2 Series and Convergence
88. 9.3 The Integral Test and p-Series
89. 9.4 Comparisons of Series
90. 9.5 Alternating Series
91. 9.6 The Ratio and Root Tests
92. 9.7 Taylor Polynomials and Approximations
93. 9.8 Power Series
94. 9.9 Representation of Functions by Power Series
95. 9.10 Taylor and Maclaurin Series
96. Review Exercises
97. P.S. Problem Solving
98. Ch 10: Conics, Parametric Equations, and Polar Coordinates
99. 10.1 Conics and Calculus
100. 10.2 Plane Curves and Parametric Equations
101. 10.3 Parametric Equations and Calculus
102. 10.4 Polar Coordinates and Polar Graphs
103. 10.5 Area and Arc Length in Polar Coordinates
104. 10.6 Polar Equations of Conics and Kepler’s Laws
105. Review Exercises
106. P.S. Problem Solving
107. Appendices
108. Appendix A: Proofs of Selected Theorems
109. Appendix B: Integration Tables
110. Answers to Odd-Numbered Exercises
111. Index

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