1. Ch 1: Functions and Sequences
2. 1.1: Four Ways to Represent a Function
3. 1.2: A Catalog of Essential Functions
4. 1.3: New Functions from Old Functions
5. 1.4: Exponential Functions
6. 1.5: Logarithms; Semilog and Log-Log Plots
7. 1.6: Sequences and Difference Equations
8. Chapter 1: Review
9. Ch 2: Limits
10. 2.1: Limits of Sequences
11. 2.2: Limits of Functions at Infinity
12. 2.3: Limits of Functions at Finite Numbers
13. 2.4: Limits: Algebraic Methods
14. 2.5: Continuity
15. Chapter 2: Review
16. Ch 3: Derivatives
17. 3.1: Derivatives and Rates of Change
18. 3.2: The Derivative as a Function
19. 3.3: Basic Differentiation Formulas
20. 3.4: The Product and Quotient Rules
21. 3.5: The Chain Rule
22. 3.6: Exponential Growth and Decay
23. 3.7: Derivatives of the Logarithmic and Inverse Tangent Functions
24. 3.8: Linear Approximations and Taylor Polynomials
25. Chapter 3: Review
26. Ch 4: Applications of Derivatives
27. 4.1: Maximum and Minimum Values
28. 4.2: How Derivatives Affect the Shape of a Graph
29. 4.3: L’Hospital’s Rule: Comparing Rates of Growth
30. 4.4: Optimization Problems
31. 4.5: Recursions: Equilibria and Stability
32. 4.6: Antiderivatives
33. Chapter 4: Review
34. Ch 5: Integrals
35. 5.1: Areas, Distances, and Pathogenesis
36. 5.2: The Definite Integral
37. 5.3: The Fundamental Theorem of Calculus
38. 5.4: The Substitution Rule
39. 5.5: Integration by Parts
40. 5.6: Partial Fractions
41. 5.7: Integration Using Tables and Computer Algebra Systems
42. 5.8: Improper Integrals
43. Chapter 5: Review
44. Ch 6: Applications of Integrals
45. 6.1: Areas between Curves
46. 6.2: Average Values
47. 6.3: Further Applications to Biology
48. 6.4: Volumes
49. Chapter 6: Review
50. Ch 7: Differential Equations
51. 7.1: Modeling with Differential Equations
52. 7.2: Phase Plots, Equilibria, and Stability
53. 7.3: Direction Fields and Euler’s Method
54. 7.4: Separable Equations
55. 7.5: Systems of Differential Equations
56. 7.6: Phase Plane Analysis
57. Chapter 7: Review
58. Ch 8: Vectors and Matrix Models
59. 8.1: Coordinate Systems
60. 8.2: Vectors
61. 8.3: The Dot Product
62. 8.4: Matrix Algebra
63. 8.5: Matrices and the Dynamics of Vectors
64. 8.6: The Inverse and Determinant of a Matrix
65. 8.7: Eigenvectors and Eigenvalues
66. 8.8: Iterated Matrix Models
67. Chapter 8: Review
68. Ch 9: Multivariable Calculus
69. 9.1: Functions of Several Variables
70. 9.2: Partial Derivatives
71. 9.3: Tangent Planes and Linear Approximations
72. 9.4: The Chain Rule
73. 9.5: Directional Derivatives and the Gradient Vector
74. 9.6: Maximum and Minimum Values
75. Chapter 9: Review
76. Ch 10: Systems of Linear Differential Equations
77. 10.1: Qualitative Analysis of Linear Systems
78. 10.2: Solving Systems of Linear Differential Equations
79. 10.3: Applications
80. 10.4: Systems of Nonlinear Differential Equations
81. Chapter 10: Review
82. Ch 11: Descriptive Statistics
83. 11.1: Numerical Descriptions of Data
84. 11.2: Graphical Descriptions of Data
85. 11.3: Relationships between Variables
86. 11.4: Populations, Samples, and Inference
87. Chapter 11: Review
88. Ch 12: Probability
89. 12.1: Principles of Counting
90. 12.2: What is Probability?
91. 12.3: Conditional Probability
92. 12.4: Discrete Random Variables
93. 12.5: Continuous Random Variables
94. Chapter 12: Review
95. Ch 13: Inferential Statistics
96. 13.1: The Sampling Distribution
97. 13.2: Confidence Intervals
98. 13.3: Hypothesis Testing
99. 13.4: Contingency Table Analysis
100. Chapter 13: Review
101. Appendixes
102. A: Intervals, Inequalities, and Absolute Values
103. B: Coordinate Geometry
104. C: Trigonometry
105. D: Precise Definitions of Limits
106. E: A Few Proofs
107. F: Sigma Notation
108. G: Complex Numbers
109. H: Statistical Tables
110. Glossary of Biological Terms
111. Answers to Odd-Numbered Exercises
112. Biological Index
113. Index
114. Concept Check Answers

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