| Introduction |
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2 | (1) |
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3 | (1) |
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3 | (2) |
| Part 1: Getting Started With Finite Math |
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5 | (58) |
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Chapter 1 Feeling Fine with Finite Math |
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7 | (12) |
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Getting in Line with Linear Statements |
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8 | (1) |
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Making the Most with Matrices |
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8 | (1) |
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9 | (1) |
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10 | (1) |
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11 | (2) |
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Figuring in Financial Factors |
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13 | (1) |
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Finding Statistical Satisfaction |
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14 | (1) |
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Considering the Logical Side of Mathematics |
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15 | (1) |
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16 | (2) |
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18 | (1) |
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Chapter 2 Lining Up Linear Functions |
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19 | (14) |
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Recognizing Equations of Lines |
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20 | (2) |
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Identifying slope and its scope |
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20 | (1) |
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Creating different forms of the equation |
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21 | (1) |
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Writing the equation of a line |
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21 | (1) |
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Graphing Lines on the Coordinate Plane |
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22 | (5) |
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Graphing a line using two points |
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23 | (1) |
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Using the slope and y-intercept to graph a line |
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24 | (1) |
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25 | (2) |
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Determining Relationships between Lines |
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27 | (3) |
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Parallel and perpendicular lines |
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27 | (2) |
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Intersecting versus coincidental lines |
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29 | (1) |
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30 | (3) |
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Chapter 3 Solving Systems of Linear Equations |
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33 | (16) |
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Solving Systems Using Elimination |
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34 | (4) |
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Solving a system of two linear equations using elimination |
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34 | (2) |
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Using elimination to solve a system of three linear equations |
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36 | (2) |
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Solving Systems Using Substitution |
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38 | (3) |
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Solving a system of two linear equations using substitution |
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38 | (1) |
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Taking on a system of three linear equations using substitution |
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39 | (2) |
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Dealing with Too Many or No Solutions |
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41 | (2) |
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41 | (1) |
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42 | (1) |
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Making Linear Equations Work for You |
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43 | (6) |
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44 | (1) |
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Mixing it up with a solution |
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44 | (2) |
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46 | (3) |
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Chapter 4 Taking on Systems of Inequalities |
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49 | (14) |
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49 | (2) |
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Graphing Linear Inequalities |
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51 | (14) |
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Creating graphs of systems |
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53 | (3) |
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Making graphs work for you |
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56 | (7) |
| Part 2: Making Use Of Available Methods |
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63 | (82) |
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Chapter 5 Making Way for Matrices |
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65 | (22) |
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Squaring Off with Matrix Basics |
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65 | (10) |
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Identifying matrices and their components |
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66 | (1) |
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Equalizing and transposing matrices |
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67 | (1) |
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Performing matrix operations and processes |
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68 | (7) |
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Investigating Row Operations |
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75 | (5) |
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Performing the row operations |
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75 | (2) |
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77 | (3) |
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Applying Matrices and Their Operations |
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80 | (7) |
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81 | (3) |
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Taking matrices to the zoo |
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84 | (3) |
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Chapter 6 Making Matrices Work for You |
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87 | (22) |
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Solving Systems of Equations Using Matrices |
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88 | (9) |
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Solving a linear system in two variables |
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89 | (1) |
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Forging ahead with four variables |
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90 | (2) |
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92 | (2) |
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Multiplying by the inverse |
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94 | (3) |
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Discovering Multiple Solutions |
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97 | (2) |
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Applying Matrices to Tasks |
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99 | (6) |
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Considering input and output |
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99 | (4) |
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Distributing temperatures |
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103 | (2) |
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Taking Advantage of Special Formulas |
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105 | (4) |
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Inverses of 2 x 2 matrices |
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105 | (2) |
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Inverses of 3 x 3 matrices |
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107 | (2) |
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Chapter 7 Getting Lined Up with Linear Programming |
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109 | (16) |
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Setting Up Linear Programming Problems |
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110 | (8) |
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Making the problem structure work |
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110 | (2) |
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Solving a maximization problem |
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112 | (3) |
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115 | (3) |
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118 | (7) |
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Maximizing in three dimensions |
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119 | (3) |
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122 | (3) |
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Chapter 8 Simply the Simplex Method |
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125 | (20) |
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Delineating Simplex Method Steps for Maximization |
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126 | (9) |
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Setting up for the simplex method |
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126 | (5) |
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Solving a maximization application |
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131 | (4) |
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Making the Most of Minimization |
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135 | (12) |
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135 | (1) |
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Stepping through minimization |
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136 | (4) |
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Giving minimization meaning |
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140 | (5) |
| Part 3: Using Finite Math To Tackle World Situations |
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145 | (84) |
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Chapter 9 Setting Up Sets |
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147 | (14) |
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147 | (4) |
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Describing large and small sets |
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148 | (1) |
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149 | (2) |
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Performing Basic Operations |
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151 | (1) |
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Using Venn Diagrams for Better Views |
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152 | (9) |
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152 | (4) |
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The number of elements shown |
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156 | (5) |
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Chapter 10 Processing the Probability |
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161 | (20) |
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Introducing Counting Methods |
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161 | (6) |
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Multiplication method of counting |
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162 | (1) |
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Using permutations for counting |
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163 | (2) |
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Counting with combinations |
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165 | (2) |
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Determining the Probability of an Event |
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167 | (7) |
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169 | (2) |
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171 | (3) |
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Applying Probability Techniques |
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174 | (7) |
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174 | (3) |
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Probability of being chosen |
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177 | (4) |
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Chapter 11 Counting on the Mathematics of Finance |
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181 | (14) |
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Considering Simple Interest |
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181 | (1) |
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Compounding Things with Compound Interest |
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182 | (6) |
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184 | (1) |
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185 | (1) |
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185 | (3) |
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188 | (3) |
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Future value of an annuity |
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188 | (1) |
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Present value of an annuity |
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189 | (1) |
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190 | (1) |
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191 | (4) |
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Creating an amortization schedule |
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191 | (2) |
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193 | (2) |
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Chapter 12 Telling the Truth with Statistics |
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195 | (18) |
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Presenting Data Graphically |
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195 | (5) |
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Barring none with a bar graph |
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196 | (1) |
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197 | (1) |
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198 | (1) |
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199 | (1) |
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Measures of Central Tendency |
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200 | (8) |
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200 | (2) |
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Riding down the middle with the median |
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202 | (1) |
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Making the most of the mode |
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202 | (1) |
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Recognizing the geometric mean |
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203 | (1) |
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Comparing measures of central tendency |
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203 | (4) |
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207 | (1) |
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Variance and Standard Deviation |
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208 | (2) |
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208 | (1) |
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209 | (1) |
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Investigating the Normal Distribution |
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210 | (3) |
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213 | (16) |
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Logically Presenting the Vocabulary |
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213 | (2) |
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Finding the Truth with Truth Tables |
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215 | (4) |
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Considering the conjunction |
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215 | (1) |
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Displaying the disjunction |
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216 | (1) |
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217 | (1) |
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Conditionally making statements |
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217 | (1) |
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Analyzing compound statements |
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218 | (1) |
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219 | (2) |
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221 | (1) |
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222 | (3) |
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Applying Logic to Circuits |
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225 | (4) |
| Part 4: Employing The Tools Of Finite Math To Expand And Investigate |
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229 | (50) |
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231 | (18) |
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Recognizing a Markov Chain |
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231 | (1) |
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Coming to Terms with Markov Chains |
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232 | (1) |
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Working with Transition Matrices |
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233 | (6) |
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233 | (3) |
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236 | (3) |
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239 | (3) |
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242 | (2) |
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Making Long-Term Predictions |
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244 | (5) |
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244 | (2) |
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246 | (3) |
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Chapter 15 Playing Games with Game Theory |
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249 | (18) |
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249 | (3) |
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252 | (3) |
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252 | (1) |
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252 | (1) |
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253 | (2) |
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255 | (3) |
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258 | (1) |
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259 | (8) |
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259 | (4) |
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263 | (4) |
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Chapter 16 Applications of Matrices and Game Theory |
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267 | (12) |
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267 | (3) |
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Battle of the Bismarck Sea |
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270 | (1) |
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271 | (1) |
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272 | (1) |
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273 | (1) |
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274 | (1) |
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275 | (6) |
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275 | (2) |
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Upping the Nim stacks to three |
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277 | (2) |
| Part 5: The Part Of Tens |
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279 | (22) |
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Chapter 17 Ten Financial Formulas |
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281 | (8) |
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281 | (1) |
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282 | (1) |
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282 | (1) |
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283 | (1) |
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Total Return on Investments |
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283 | (1) |
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284 | (1) |
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Inflation-Adjusted Return |
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284 | (1) |
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285 | (1) |
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Future Value of Annuity Due |
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286 | (1) |
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286 | (3) |
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Chapter 18 Ten Important Graphing Calculator Functions |
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289 | (12) |
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Graphing Lines for Intersections |
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289 | (1) |
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290 | (1) |
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291 | (1) |
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Adding, Subtracting, and Multiplying Matrices |
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292 | (1) |
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293 | (1) |
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294 | (1) |
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Solving Systems of Equations Using Matrices |
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295 | (1) |
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296 | (1) |
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Counting with Permutations and Combinations |
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296 | (2) |
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Making Statistical Statements |
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298 | (3) |
| Glossary |
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301 | (4) |
| Index |
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305 | |
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