Additional Calculus Topics Book

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