Solutions Manual to accompany Finite Mathematics: An Applied Approach 3rd edition 0321173341
Product details:
- ISBN-10 ‏ : ‎ 0321173341
- ISBN-13 ‏ : ‎ 978-0321173348
- Author: Michael Sullivan
Finite Math is often a required course, taken by students who come with a weak math background and struggle with the subject. Young/Lee’s Finite Mathematics: An Applied Approach 3rd Edition is written with these students in mind. Despite the excellent variety of drill, practice and conceptual problems laced with relevant real-world applications, students in finite math often struggle, prompting them to lean on the chapter’s examples for help. In this text, the authors provide examples that are not just quick recipes to be applied to a particular problem, but rather they offer actual insight into the problem at hand, as well to the general concept being developed. The examples help the students retain important concepts and then apply them in the exercises that follow. Using color in a way that carries the student’s eye into the exposition that surrounds an example, the student is led, gently, to generalization and understanding. Young/Lee have found that delicate balance between accurate, precise and useful mathematics and aiding the struggling student towards successfully learning it.
Table contents:
| Chapter 1 | Linear Equations | 1 |
| 1.1 | Rectangular Coordinates; Lines | 2 |
| 1.2 | Pairs of Lines | 19 |
| 1.3 | Applications: Prediction; Break-Even Point; Mixture Problems; Economics | 26 |
| 1.4 | Scatter Diagrams; Linear Curve Fitting | 35 |
| Chapter Review | 42 | |
| Chapter 2 | Systems of Linear Equations; Matrices | 48 |
| 2.1 | Systems of Linear Equations: Substitution; Elimination | 49 |
| 2.2 | Systems of Linear Equations: Matrix Method | 65 |
| 2.3 | Systems of m Linear Equations Containing n Variables | 82 |
| 2.4 | Matrix Algebra | 93 |
| 2.5 | Multiplication of Matrices | 106 |
| 2.6 | The Inverse of a Matrix | 117 |
| 2.7 | Applications: Leontief Model; Cryptography; Accounting; The Method of Least Squares | 128 |
| Chapter Review | 150 | |
| Chapter 3 | Linear Programming: Geometric Approach | 158 |
| 3.1 | Systems of Linear Inequalities | 159 |
| 3.2 | A Geometric Approach to Linear Programming Problems | 171 |
| 3.3 | Applications | 179 |
| Chapter Review | 186 | |
| Chapter 4 | Linear Programming: Simplex Method | 194 |
| 4.1 | The Simplex Tableau; Pivoting | 195 |
| 4.2 | The Simplex Method: Solving Maximum Problems in Standard Form | 208 |
| 4.3 | Solving Minimum Problems in Standard Form Using the Duality Principle | 228 |
| 4.4 | The Simplex Method with Mixed Constraints | 238 |
| Chapter Review | 252 | |
| Chapter 5 | Finance | 261 |
| 5.1 | Interest | 262 |
| 5.2 | Compound Interest | 269 |
| 5.3 | Annuities; Sinking Funds | 279 |
| 5.4 | Present Value of an Annuity; Amortization | 291 |
| 5.5 | Annuities and Amortization Using Recursive Sequences | 301 |
| 5.6 | Applications: Leasing; Capital Expenditure; Bonds | 305 |
| Chapter Review | 310 | |
| Chapter 6 | Sets; Counting Techniques | 316 |
| 6.1 | Sets | 317 |
| 6.2 | The Number of Elements in a Set | 326 |
| 6.3 | The Multiplication Principle | 332 |
| 6.4 | Permutations | 336 |
| 6.5 | Combinations | 343 |
| 6.6 | The Binomial Theorem | 351 |
| Chapter Review | 357 | |
| Chapter 7 | Probability | 364 |
| 7.1 | Sample Spaces and the Assignment of Probabilities | 365 |
| 7.2 | Properties of the Probability of an Event | 376 |
| 7.3 | Probability Problems Using Counting Techniques | 386 |
| 7.4 | Conditional Probability | 392 |
| 7.5 | Independent Events | 403 |
| Chapter Review | 412 | |
| Chapter 8 | Additional Probability Topics | 420 |
| 8.1 | Bayes’ Formula | 421 |
| 8.2 | The Binomial Probability Model | 432 |
| 8.3 | Expected Value | 443 |
| 8.4 | Applications | 451 |
| 8.5 | Random Variables | 457 |
| Chapter Review | 461 | |
| Chapter 9 | Statistics | 469 |
| 9.1 | Introduction to Statistics: Data and Sampling | 470 |
| 9.2 | Representing Data Graphically: Bar Graphs; Pie Charts | 473 |
| 9.3 | Organization of Data | 480 |
| 9.4 | Measures of Central Tendency | 494 |
| 9.5 | Measures of Dispersion | 504 |
| 9.6 | The Normal Distribution | 514 |
| Chapter Review | 525 | |
| Chapter 10 | Markov Chains; Games | 536 |
| 10.1 | Markov Chains and Transition Matrices | 537 |
| 10.2 | Regular Markov Chains | 546 |
| 10.3 | Absorbing Markov Chains | 557 |
| 10.4 | Two-Person Games | 567 |
| 10.5 | Mixed Strategies | 571 |
| 10.6 | Optimal Strategy in Two-Person Zero-Sum Games with 2 x 2 Matrices | 574 |
| Chapter Review | 581 | |
| Chapter 11 | Logic | 586 |
| 11.1 | Propositions | 587 |
| 11.2 | Truth Tables | 593 |
| 11.3 | Implications; The Biconditional Connective; Tautologies | 601 |
| 11.4 | Arguments | 607 |
| 11.5 | Logic Circuits | 612 |
| Chapter Review | 617 | |
| Appendix A | Review | 622 |
| A.1 | Real Numbers | 622 |
| A.2 | Algebra Review | 636 |
| A.3 | Exponents and Logarithms | 645 |
| A.4 | Recursively Defined Sequences; Geometric Sequences | 649 |
| Appendix B | Using Lindo to Solve Linear Programming Problems | 655 |
| Appendix C | Graphing Utilities | 662 |
| C.1 | The Viewing Rectangle | 662 |
| C.2 | Using a Graphing Utility to Graph Equations | 664 |
| C.3 | Square Screens | 668 |
| C.4 | Using a Graphing Utility to Graph Inequalities | 669 |
| Answers to Odd-Numbered Problems | 1 | |
| Photo Credits | 1 | |
| Index |
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