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Market-leading FINITE MATHEMATICS FOR THE MANAGERIAL, LIFE, AND SOCIAL SCIENCES, Tenth Edition, educates by application and real-world examples. A traditional book with a modern feel, the text pairs pioneering technology with rock-solid theory, delivering matchless flexibility to both traditional and modern practitioners. The Tenth Edition, as with previous editions, is suitable for both majors and non-majors alike. The text abounds with helpful examples, exercises, applications, and features to motivate further exploration. Portfolio profiles highlight the way actual professionals use math in their day-to-day business. Newly enhanced technology sections provide step-by-step instructions for solving examples and exercises in Excel 2010. Supported by a powerful array of supplements including Enhanced WebAssign®, the new Tenth Edition enables students to make full use of their study time and maximize their chances of success in class.
- More than 90 new and updated student-friendly applications. Topics include: health care spending, global defense spending, box office receipts, retirement planning, home affordability, tire safety, alternative fuel vehicles, cost of taking time off, New York courts total caseload, lightning injuries, and government debt.
- Five new Portfolio features illustrate mathematics in the workplace. Among those interviewed are the City Manager of Fanfoto and the Technical Director, Europe, of SpiderCloud Wireless.
- Updated Excel content enlarges the student experience.
- Complete exercise sets: Section exercise sets include "Concept" questions, and chapter reviews contain fill-in-the-blank "Concept Review" questions. Additional routine and true-false questions have been added as well.
- Thorough: Detailed illustrations support examples and exercises, ensuring student understanding. "Explore and Discuss" questions take concepts a step further and spark student discussion. Other pedagogical tools that help students master the material include: "Self-Check" exercises in every section, "Notes" to clarify more mathematical ideas, "Cautions" highlighting common pitfalls, and more.
- Motivating real-world applications: With more than 90 new and updated applications, Tan's exercises build student interest and illustrate the real-world relevance of mathematics.
- Technology experiences: "Modeling with Data" exercises appear in many of the Using Technology subsections, giving students an inside look at how the author constructed the functions found in the exercises.
- Study Tabs that work: Convenient color-coded Study Tabs, similar to Post-It® notes, make it easy for students to flag pages that they want to revisit later.
- Solution videos and tutorials: Available on the CourseMate, these videos directly correspond to exercises found within the text and provide additional instruction, including a Graphing Calculator Tutorial.
- Math for life: Real-world applications in the areas of business, economics, behavioral, life, physical, and social sciences bring relevance to mathematical results and make chapter concepts come to life for students. In addition, Portfolio interviews show how professionals use mathematics in their daily operations. Applied examples are clearly marked with photo icons that link to the list of applications.
- Flexibility: Optional coverage offers instructors different ways to tailor technology to their course needs. For example, "Using Technology" sections show how graphing utilities can facilitate the analysis and solution of complicated problems. "Exploring with Technology" questions emerge throughout the text in special boxes. And, "Modeling with Data" exercises feature in many of the "Using Technology" subsections, showing students how some of the functions found in the exercises are constructed.
1. Straight Lines and Linear Functions.
The Cartesian Coordinate System. Straight Lines. Using Technology: Graphing a Straight Line. Linear Functions and Mathematical Models. Using Technology: Evaluating a Function. Intersection of Straight Lines. Using Technology: Finding the Point(s) of Intersection of Two Graphs. The Method of Least Squares.
Portfolio. Using Technology: Finding an Equation of a Least-Squares Line. Chapter 1 Summary of Principal Formulas and Terms. Chapter 1 Concept Review Questions. Chapter 1 Review Exercises. Chapter 1 Before Moving On.
2. SYSTEMS OF LINEAR EQUATIONS AND MATRICES.
Systems of Linear Equations: An Introduction. Systems of Linear Equations: Unique Solutions. Using Technology: Systems of Linear Equations: Unique Solutions. Systems of Linear Equations: Underdetermined and Overdetermined Systems. Using Technology: Systems of Linear Equations: Underdetermined and Overdetermined Systems. Matrices. Using Technology: Matrix Operations. Multiplication of Matrices. Using Technology: Matrix Multiplication. The Inverse of a Square Matrix. Using Technology: Finding the Inverse of a Square Matrix. Leontief Input—Output Model. Using Technology: The Leontief Input—Output Model. Chapter 2 Summary of Principal Formulas and Terms. Chapter 2 Concept Review Questions. Chapter 2 Review Exercises. Chapter 2 Before Moving On.
3. LINEAR PROGRAMMING: A GEOMETRIC APPROACH.
Graphing Systems of Linear Inequalities in Two Variables. Linear Programming Problems. Graphical Solutions of Linear Programming Problems. Sensitivity Analysis. Chapter 3 Summary of Principal Formulas and Terms. Chapter 3 Concept Review Questions. Chapter 3 Review Exercises. Chapter 3 Before Moving On.
4. LINEAR PROGRAMMING: AN ALGEBRAIC APPROACH.
The Simplex Method: Standard Maximization Problems. Portfolio. Using Technology: The Simplex Method: Solving Maximization Problems. The Simplex Method: Standard Minimization Problems. Using Technology: The Simplex Method: Solving Minimization Problems. The Simplex Method: Nonstandard Problems. Chapter 4 Summary of Principal Formulas and Terms. Chapter 4 Concept Review Questions. Chapter 4 Review Exercises. Chapter 4 Before Moving On.
5. MATHEMATICS OF FINANCE.
Compound Interest. Using Technology: Finding the Accumulated Amount of an Investment, the Effective Rate of Interest, and the Present Value of an Investment. Annuities. Using Technology: Finding the Amount of an Annuity. Amortization and Sinking Funds. Using Technology: Amortizing a Loan. Arithmetic and Geometric Progressions. Chapter 5 Summary of Principal Formulas and Terms. Chapter 5 Concept Review Questions. Chapter 5 Review Exercises. Chapter 5 Before Moving On.
5. SETS AND COUNTING.
Sets and Set Operations. The Number of Elements in a Finite Set. The Multiplication Principle. Permutations and Combinations. Portfolio. Using Technology: Evaluating n!, P (n,r) and C (n,r). Chapter 6 Summary of Principal Formulas and Terms. Chapter 6 Concept Review Questions. Chapter 6 Review Exercises. Chapter 6 Before Moving On.
Experiments, Sample Spaces, and Events. Definition of Probability. Rules of Probability. Use of Counting Techniques in Probability. Conditional Probability and Independent Events. Bayes'' Theorem. Chapter 7 Summary of Principal Formulas and Terms. Chapter 7 Concept Review Questions. Chapter 7 Review Exercises. Chapter 7 Before Moving On.
8. PROBABILITY DISTRIBUTIONS AND STATISTICS.
Distributions of Random Variables. Using Technology: Graphing a Histogram. Expected Value. Portfolio. Variance and Standard Deviation. Using Technology: Finding the Mean and Standard Deviation. The Binomial Distribution. The Normal Distribution. Applications of the Normal Distribution. Chapter 8 Summary of Principal Formulas and Terms. Chapter 8 Concept Review Questions. Chapter 8 Review Exercises. Chapter 8 Before Moving On.
9. MARKOV CHAINS AND THE THEORY OF GAMES.
Markov Chains. Using Technology: Finding Distribution Vectors. Regular Markov Chains. Using Technology: Finding the Long-term Distribution Vector. Absorbing Markov Chains. Game Theory and Strictly Determined Games. Portfolio. Games with Mixed Strategies. Chapter 9 Summary of Principal Formulas and Terms. Chapter 9 Concept Review Questions. Chapter 9 Review Exercises. Chapter 9 Before Moving On.
Appendix A: Introduction to Logic.
Propositions and Connectives. Truth Tables. The Conditional and the Biconditional Connectives. Laws of Logic. Arguments. Applications of Logic to Switching Networks.
Appendix B: The System of Real Numbers.
Appendix C: A Review of Logarithms.
Appendix D: Tables.
Table 1: Binomial Probabilities.
Table 2: The Standard Normal Distribution.
Answers to Odd-Numbered Exercises.