Slopes and Lines | p. 1 |
Review of Lines | p. 1 |
Equation of a Line | p. 5 |
Parallel and Perpendicular Lines | p. 10 |
Modeling with Lines | p. 13 |
Exercises | p. 16 |
Further Explorations | p. 18 |
Additional Resources | p. 18 |
Sample Quiz | p. 18 |
Least Squares | p. 21 |
Linear Regression | p. 21 |
Least-Squares Method | p. 24 |
Non-Linear Regression | p. 30 |
Derivation of Least Squares [Optional] | p. 31 |
Exercises | p. 33 |
Further Explorations | p. 35 |
Additional Resources | p. 35 |
Sample Quiz | p. 35 |
Matrices and Linear Systems | p. 37 |
Systems of Linear Equations | p. 37 |
Matrices | p. 47 |
Matrix Multiplication | p. 49 |
Matrix Inverses | p. 51 |
Gauss-Jordan Elimination | p. 55 |
Exercises | p. 65 |
Further Explorations | p. 67 |
Additional Resources | p. 67 |
Sample Quiz | p. 67 |
Linear Programming | p. 69 |
Linear Programming Problems | p. 69 |
Method of Corners | p. 72 |
Simplex Method | p. 76 |
Exercises | p. 81 |
Further Explorations | p. 83 |
Additional Resources | p. 83 |
Sample Quiz | p. 83 |
Sets | p. 85 |
Review of Sets | p. 85 |
Building Sets | p. 88 |
Venn Diagrams | p. 89 |
Counting Elements in Sets | p. 91 |
Exercises | p. 96 |
Further Explorations | p. 97 |
Additional Resources | p. 97 |
Sample Quiz | p. 97 |
Counting and Probability | p. 101 |
Multiplication Principle | p. 101 |
Permutations | p. 104 |
Combinations | p. 105 |
Mixed Problems | p. 107 |
Elementary Probability | p. 109 |
Exercises | p. 113 |
Further Explorations | p. 114 |
Additional Resources | p. 114 |
Sample Quiz | p. 115 |
Conditional Probability | p. 117 |
Conditional Probability | p. 118 |
Independent Events | p. 124 |
Bayes' Theorem | p. 126 |
Exercises | p. 129 |
Further Explorations | p. 130 |
Additional Resources | p. 130 |
Sample Quiz | p. 130 |
Statistics | p. 133 |
Characteristics of a Data Set | p. 133 |
The Histogram | p. 135 |
The Median of a Distribution | p. 138 |
The Mean of a Distribution | p. 139 |
Measures of Spread | p. 140 |
Exercises | p. 143 |
Further Explorations | p. 145 |
Additional Resources | p. 145 |
Sample Quiz | p. 145 |
Probability Distributions | p. 147 |
Probability and Random Variables | p. 147 |
Uniform Distribution | p. 149 |
Bernoulli Distribution | p. 151 |
The Normal Distribution | p. 153 |
The Law of Large Numbers | p. 159 |
Exercises | p. 163 |
Further Explorations | p. 165 |
Additional Resources | p. 165 |
Sample Quiz | p. 165 |
Financial Applications | p. 167 |
Simple and Compound Interest | p. 167 |
The Exponential Function | p. 173 |
Annuities | p. 175 |
A Simple Stock Market Model | p. 180 |
Trend Analysis | p. 182 |
Exercises | p. 184 |
Further Explorations | p. 185 |
Additional Resources | p. 185 |
Sample Quiz | p. 185 |
Applets | p. 187 |
Glossary | p. 209 |
Answers to Odd-Numbered Exercises | p. 219 |
Answers to Sample Quizzes | p. 223 |
Index | p. 231 |
Table of Contents provided by Syndetics. All Rights Reserved. |