Finite math for dummies

Title Page......Page 3
Copyright Page......Page 4
Table of Contents......Page 7
About This Book......Page 13
Icons Used in This Book......Page 14
Where to Go from Here......Page 15
Part 1 Getting Started with Finite Math......Page 17
Chapter 1 Feeling Fine with Finite Math......Page 19
Making the Most with Matrices......Page 20
Staying with the Program......Page 21
Getting Set with Sets......Page 22
Posing the Probability......Page 23
Figuring in Financial Factors......Page 25
Finding Statistical Satisfaction......Page 26
Considering the Logical Side of Mathematics......Page 27
Unlocking the Chains......Page 28
Getting into Gaming......Page 30
Chapter 2 Lining Up Linear Functions......Page 31
Identifying slope and its scope......Page 32
Writing the equation of a line......Page 33
Graphing Lines on the Coordinate Plane......Page 34
Graphing a line using two points......Page 35
Using the slope and y-intercept to graph a line......Page 36
Graphing special lines......Page 37
Parallel and perpendicular lines......Page 39
Intersecting versus coincidental lines......Page 41
Solving for a Variable......Page 42
Chapter 3 Solving Systems of Linear Equations......Page 45
Solving a system of two linear equations using elimination......Page 46
Using elimination to solve a system of three linear equations......Page 48
Solving a system of two linear equations using substitution......Page 50
Taking on a system of three linear equations using substitution......Page 51
Too many solutions......Page 53
No solution at all......Page 54
Making Linear Equations Work for You......Page 55
Mixing it up with a solution......Page 56
Counting on change......Page 58
Ruling with Inequalities......Page 61
Graphing Linear Inequalities......Page 63
Creating graphs of systems......Page 65
Making graphs work for you......Page 68
Part 2 Making Use of Available Methods......Page 75
Squaring Off with Matrix Basics......Page 77
Identifying matrices and their components......Page 78
Equalizing and transposing matrices......Page 79
Performing matrix operations and processes......Page 80
Performing the row operations......Page 87
Creating inverses......Page 89
Applying Matrices and Their Operations......Page 92
Matrices and motorcycles......Page 93
Taking matrices to the zoo......Page 96
Chapter 6 Making Matrices Work for You......Page 99
Solving Systems of Equations Using Matrices......Page 100
Solving a linear system in two variables......Page 101
Forging ahead with four variables......Page 102
Stopping up short......Page 104
Multiplying by the inverse......Page 106
Discovering Multiple Solutions......Page 109
Considering input and output......Page 111
Distributing temperatures......Page 115
Inverses of 2 × 2 matrices......Page 117
Inverses of 3 × 3 matrices......Page 119
Chapter 7 Getting Lined Up with Linear Programming......Page 121
Making the problem structure work......Page 122
Solving a maximization problem......Page 124
Going for a minimum......Page 127
Going Three-Dimensional......Page 130
Maximizing in three dimensions......Page 131
Going for the minimum......Page 134
Chapter 8 Simply the Simplex Method......Page 137
Setting up for the simplex method......Page 138
Solving a maximization application......Page 143
Spelling out the format......Page 147
Stepping through minimization......Page 148
Giving minimization meaning......Page 152
Part 3 Using Finite Math to Tackle World Situations......Page 157
Introducing Set Notation......Page 159
Describing large and small sets......Page 160
Special types of sets......Page 161
Performing Basic Operations......Page 163
Elements shown......Page 164
The number of elements shown......Page 168
Introducing Counting Methods......Page 173
Multiplication method of counting......Page 174
Using permutations for counting......Page 175
Counting with combinations......Page 177
Determining the Probability of an Event......Page 179
Binomial distributions......Page 181
Using probability trees......Page 183
Games of chance......Page 186
Probability of being chosen......Page 189
Considering Simple Interest......Page 193
Compounding Things with Compound Interest......Page 194
Continuous compounding......Page 196
Presenting present value......Page 197
Future value of an annuity......Page 200
Present value of an annuity......Page 201
Sinking funds......Page 202
Creating an amortization schedule......Page 203
Accelerating to payoff......Page 205
Presenting Data Graphically......Page 207
Barring none with a bar graph......Page 208
Histograms......Page 209
Baking up a pie chart......Page 210
Stem-and-leaf graphs......Page 211
Meaning it with the mean......Page 212
Making the most of the mode......Page 214
Comparing measures of central tendency......Page 215
Box-and-whisker plots......Page 219
Variance......Page 220
Standard deviation......Page 221
Investigating the Normal Distribution......Page 222
Logically Presenting the Vocabulary......Page 225
Considering the conjunction......Page 227
Displaying the disjunction......Page 228
Conditionally making statements......Page 229
Analyzing compound statements......Page 230
Equivalent Statements......Page 231
Studying the Conditional......Page 233
Analyzing Arguments......Page 234
Applying Logic to Circuits......Page 237
Part 4 Employing the Tools of Finite Math to Expand and Investigate......Page 241
Recognizing a Markov Chain......Page 243
Coming to Terms with Markov Chains......Page 244
Using charts and trees......Page 245
Dealing with diagrams......Page 248
Probability Vectors......Page 251
Absorbing Chains......Page 254
Avoiding ruin......Page 256
Alternating even and odd......Page 258
Playing Fairly......Page 261
Vocabulary......Page 264
Vocabulary illustrated......Page 265
Getting Strategic......Page 267
Yielding to Domination......Page 270
Finding no saddle point......Page 271
Getting down to business......Page 275
Traffic Flow......Page 279
Battle of the Bismarck Sea......Page 282
The Game of Chicken......Page 283
The Prisoner’s Dilemma......Page 284
The Traveler’s Dilemma......Page 285
Blotto’s Rules......Page 286
Nim with two heaps......Page 287
Upping the Nim stacks to three......Page 289
Part 5 The Part of Tens......Page 291
The Rule of 72......Page 293
Gains and Losses......Page 294
Total Return on Investments......Page 295
Inflation-Adjusted Return......Page 296
Remaining Balance......Page 297
Bond Pricing Formula......Page 298
Graphing Lines for Intersections......Page 301
Adjusting the Window......Page 302
Entering Matrices......Page 303
Adding, Subtracting, and Multiplying Matrices......Page 304
Powering Up Matrices......Page 305
Finding Matrix Inverses......Page 306
Solving Systems of Equations Using Matrices......Page 307
Counting with Permutations and Combinations......Page 308
Making Statistical Statements......Page 310
Glossary......Page 313
Index......Page 317
EULA......Page 339