Preface | p. ix |
Differential Equations | p. 1 |
Basic Concepts | p. 2 |
Separation of Variables | p. 12 |
First-Order Linear Differential Equations | p. 24 |
Chapter 1 Review | p. 35 |
Review Exercise | p. 36 |
Taylor Polynomials and Infinite Series | p. 39 |
Taylor Polynomials | p. 40 |
Taylor Series | p. 53 |
Operations on Taylor Series | p. 64 |
Approximations Using Taylor Series | p. 73 |
Chapter 2 Review | p. 83 |
Review Exercise | p. 84 |
Probability and Calculus | p. 87 |
Improper Integrals | p. 88 |
Continuous Random Variables | p. 95 |
Expected Value, Standard Deviation, and Median | p. 108 |
Special Probability Distributions | p. 117 |
Chapter 3 Review | p. 128 |
Review Exercise | p. 129 |
Tables | p. 133 |
Area Under the Standard Normal Curve | p. 133 |
Special Calculus Topic | p. 135 |
Interpolating Polynomials and Divided Differences | p. 135 |
Answers | p. A-1 |
Solutions to Odd-Numbered Exercises | p. S-1 |
Index | p. I-1 |
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