Cover image for Finite math for dummies / by Mary Jane Sterling.
Title:
Finite math for dummies / by Mary Jane Sterling.
ISBN:
9781119476368
Publication Information:
Hoboken, NJ : John Wiley and Sons, 2018.

©2018
Physical Description:
x, 317 pages : illustrations ; 24 cm
General Note:
includes index.
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1 Bob Harkins Branch 512 STE Book Adult General Collection
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Summary

Summary

Use mathematical analysis in the real world

Finite math takes everything you′ve learned in your previous math courses and brings them together into one course with a focus on organizing and analyzing information, creating mathematical models for approaching business decisions, using statistics principles to understand future states, and applying logic to data organization .

Finite Math For Dummies tracks to a typical college-level course designed for business, computer science, accounting, and other non-math majors, and is the perfect supplement to help you score high!

Organize and analyze information Apply calculation principles to real-world problems Use models for business calculations Supplement your coursework with step-by-step example problems

If you re not a math person or just want to brush up on your skills to get a better grade, Finite Math For Dummies is your ticket to scoring higher!


Author Notes

Mary Jane Sterling is the author of Algebra I For Dummies, Algebra Workbook For Dummies, and many other For Dummies books. She taught at Bradley University in Peoria, Illinois for more than 30 years, teaching algebra, business calculus, geometry, and finite mathematics.


Table of Contents

Introductionp. 1
About This Bookp. 1
Foolish Assumptionsp. 2
Icons Used in This Bookp. 2
Beyond the Bookp. 3
Where to Go from Herep. 3
Part 1 Getting Started with Finite Mathp. 5
Chapter 1 Feeling Fine with Finite Mathp. 7
Getting in Line with Linear Statementsp. 8
Making the Most with Matricesp. 8
Staying with the Programp. 9
Getting Set with Setsp. 10
Posing the Probabilityp. 11
Figuring in Financial Factorsp. 13
Finding Statistical Satisfactionp. 14
Considering the Logical Side of Mathematicsp. 15
Unlocking the Chainsp. 16
Getting into Gamingp. 18
Chapter 2 Lining Up Linear Functionsp. 19
Recognizing Equations of Linesp. 20
Identifying slope and its scopep. 20
Creating different forms of the equationp. 21
Writing the equation of a linep. 21
Graphing Lines on the Coordinate Planep. 22
Graphing a line using two pointsp. 23
Using the slope and y-intercept to graph a linep. 24
Graphing special linesp. 25
Determining Relationships between Linesp. 27
Parallel and perpendicular linesp. 27
Intersecting versus coincidental linesp. 29
Solving for a Variablep. 30
Chapter 3 Solving Systems of Linear Equationsp. 33
Solving Systems Using Eliminationp. 34
Solving a system of two linear equations using eliminationp. 34
Using elimination to solve a system of three linear equationsp. 36
Solving Systems Using Substitutionp. 38
Solving a system of two linear equations using substitutionp. 38
Taking on a system of three linear equations using substitutionp. 39
Dealing with Too Many or No Solutionsp. 41
Too many solutionsp. 41
No solution at allp. 42
Making Linear Equations Work for Youp. 43
Determining the profitp. 44
Mixing it up with a solutionp. 44
Counting on changep. 46
Chapter 4 Taking on Systems of Inequalitiesp. 49
Ruling with Inequalitiesp. 49
Graphing Linear Inequalitiesp. 51
Creating graphs of systemsp. 53
Making graphs work for youp. 56
Part 2 Making Use of Available Methodsp. 63
Chapter 5 Making Way for Matricesp. 65
Squaring Off with Matrix Basicsp. 65
Identifying matrices and their componentsp. 66
Equalizing and transposing matricesp. 67
Performing matrix operations and processesp. 68
Investigating Row Operationsp. 75
Performing the row operationsp. 75
Creating inversesp. 77
Applying Matrices and Their Operationsp. 80
Matrices and motorcyclesp. 81
Taking matrices to the zoop. 84
Chapter 6 Making Matrices Work for Youp. 87
Solving Systems of Equations Using Matricesp. 88
Solving a linear system in two variablesp. 89
Forging ahead with four variablesp. 90
Stopping up shortp. 92
Multiplying by the inversep. 94
Discovering Multiple Solutionsp. 97
Applying Matrices to Tasksp. 99
Considering input and outputp. 99
Distributing temperaturesp. 103
Taking Advantage of Special Formulasp. 105
Inverses of 2 × 2 matricesp. 105
Inverses of 3 × 3 matricesp. 107
Chapter 7 Getting Lined Up with Linear Programmingp. 109
Setting Up Linear Programming Problemsp. 110
Making the problem structure workp. 110
Solving a maximization problemp. 112
Going for a minimump. 115
Going Three-Dimensionalp. 118
Maximizing in three dimensionsp. 119
Going for the minimump. 122
Chapter 8 Simply the Simplex Methodp. 125
Delineating Simplex Method Steps for Maximizationp. 126
Setting up for the simplex methodp. 126
Solving a maximization applicationp. 131
Making the Most of Minimizationp. 135
Spelling out the formatp. 135
Stepping through minimizationp. 136
Giving minimization meaningp. 140
Part 3 Using Finite Math to Tackle World Situationsp. 145
Chapter 9 Setting Up Setsp. 147
Introducing Set Notationp. 147
Describing large and small setsp. 148
Special types of setsp. 149
Performing Basic Operationsp. 151
Using Venn Diagrams for Better Viewsp. 152
Elements shownp. 152
The number of elements shownp. 156
Chapter 10 Processing the Probabilityp. 161
Introducing Counting Methodsp. 161
Multiplication method of countingp. 162
Using permutations for countingp. 163
Counting with combinationsp. 165
Determining the Probability of an Eventp. 167
Binomial distributionsp. 169
Using probability treesp. 171
Applying Probability Techniquesp. 174
Games of chancep. 174
Probability of being chosenp. 177
Chapter 11 Counting on the Mathematics of Financep. 181
Considering Simple Interestp. 181
Compounding Things with Compound Interestp. 182
Continuous compoundingp. 184
Effective interest ratep. 185
Presenting present valuep. 185
Analyzing Annuitiesp. 188
Future value of an annuityp. 188
Present value of an annuityp. 189
Sinking fundsp. 190
Amortizationp. 191
Creating an amortization schedulep. 191
Accelerating to payoffp. 193
Chapter 12 Telling the Truth with Statisticsp. 195
Presenting Data Graphicallyp. 195
Barring none with a bar graphp. 196
Histogramsp. 197
Baking up a pie chartp. 198
Stem-and-leaf graphsp. 199
Measures of Central Tendencyp. 200
Meaning it with the meanp. 200
Riding down the middle with the medianp. 202
Making the most of the modep. 202
Recognizing the geometric meanp. 203
Comparing measures of central tendencyp. 203
Box-and-whisker plotsp. 207
Variance and Standard Deviationp. 208
Variancep. 208
Standard deviationp. 209
Investigating the Normal Distributionp. 210
Chapter 13 Logicp. 213
Logically Presenting the Vocabularyp. 213
Finding the Truth with Truth Tablesp. 215
Considering the conjunctionp. 215
Displaying the disjunctionp. 216
Looking into negativityp. 217
Conditionally making statementsp. 217
Analyzing compound statementsp. 218
Equivalent Statementsp. 219
Studying the Conditionalp. 221
Analyzing Argumentsp. 222
Applying Logic to Circuitsp. 225
Part 4 Employing the Tools of Finite Math to Expand and Investigatep. 229
Chapter 14 Markov Chainsp. 231
Recognizing a Markov Chainp. 231
Coming to Terms with Markov Chainsp. 232
Working with Transition Matricesp. 233
Using charts and treesp. 233
Dealing with diagramsp. 236
Probability Vectorsp. 239
Absorbing Chainsp. 242
Making Long-Term Predictionsp. 244
Avoiding ruinp. 244
Alternating even and oddp. 246
Chapter 15 Playing Games with Game Theoryp. 249
Playing Fairlyp. 249
Playing by the Rulesp. 252
Matrix representationp. 252
Vocabularyp. 252
Vocabulary illustratedp. 253
Getting Strategicp. 255
Yielding to Dominationp. 258
Determining the Movesp. 259
Finding no saddle pointp. 259
Getting down to businessp. 263
Chapter 16 Applications of Matrices and Game Theoryp. 267
Traffic Flowp. 267
Battle of the Bismarck Seap. 270
The Game of Chickenp. 271
The Prisoner's Dilemmap. 272
The Traveler's Dilemmap. 273
Blotto's Rulesp. 274
Jack Be Nimblep. 275
Nim with two heapsp. 275
Upping the Nim stacks to threep. 277
Part 5 The Part of Tensp. 279
Chapter 17 Ten Financial Formulasp. 281
The Rule of 72p. 281
Leverage Ratiop. 282
Gains and Lossesp. 282
Determining Depreciationp. 283
Total Return on Investmentsp. 283
Expected Returnp. 284
Inflation-Adjusted Returnp. 284
Remaining Balancep. 285
Future Value of Annuity Duep. 286
Bond Pricing Formulap. 286
Chapter 18 Ten Important Graphing Calculator Functionsp. 289
Graphing Lines for Intersectionsp. 289
Adjusting the Windowp. 290
Entering Matricesp. 291
Adding, Subtracting, and Multiplying Matricesp. 292
Powering Up Matricesp. 293
Finding Matrix Inversesp. 294
Solving Systems of Equations Using Matricesp. 295
Decimals to Fractionsp. 296
Counting with Permutations and Combinationsp. 296
Making Statistical Statementsp. 298
Glossaryp. 301
Indexp. 305

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