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Addison-Wesley / Prentice Hall

Mathematics

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Finite Mathematics for Business Economics, Life Sciences and Social Sciences, 10/E
Raymond A. Barnett
Michael R. Ziegler
Karl E. Byleen

ISBN-10: 0131139622
ISBN-13:  9780131139626

Publisher:  Pearson
Copyright:  2005
Format:  Cloth; 816 pp
Published:  03/22/2004

For freshman- to sophomore-level, one-term or one-quarter courses in Finite Mathematics in business, economics, social sciences, or life sciences departments.

This mid-level text covers mathematics of finance, linear algebra, linear programming, probability, and descriptive statistics, with an emphasis on cross- discipline principles and practices. Student-friendly and accessible, it develops a thorough, functional understanding of mathematical concepts in preparation for their application in other areas. Coverage concentrates on developing concepts and ideas followed immediately by developing computational skills and problem solving.



This product accompanies:
Barnett, Ziegler & Byleen,  Finite Mathematics for Business, Economics, Life Sciences and Social Sciences, 11/E

  • Over 260 numbered worked examples—Many with lettered parts.
    • Enhances presentation of examples for better student comprehension and review.

    • The examples are annotated and the problem-solving steps are clearly identified.

    • Think Boxes (dashed boxes) are used to enclose steps that are usually performed mentally (see sections 1-1 and 4-1).

  • Matched Problems—Each example is followed by a "Matched Problem." This gives the student an opportunity to reinforce and test his/her understanding of the concept presented in the preceding example. Answers to these problems are located in the Answers Section, located at the end of the text.
  • Over 3,500 carefully selected and graded exercises—Divided into A, B, and C levels of difficulty in each problem set.
    • The exercise sets contain application problems that are split into three different types: 1) Business and Economics; 2) Life Science; 3) Social Science. These different types cater to the diverse needs of the student.

  • Explore-Discuss boxes—Interspersed in every section.
    • Encourages students to think about a relationship or process before a result is stated, or investigate additional consequences of a development in the text, so that they can better participate in the learning process and discussion- both in and out of class.

    • Promotes critical-thinking skills.

  • Chapter Review exercises and answers. Also includes suggested group activities and key terms.
  • Emphasis on the construction of mathematical models, especially in linear systems and linear programming.
    • Gives students a thorough introduction to this very important topic.

  • Optional graphing utility examples and exercises—Clearly identified by an icon.
    • Provides a deeper understanding of mathematical concepts and allows students to solve problems that cannot be solved by hand.

  • Algebra review in Appendix A.
    • Supplies a convenient reference to reinforce the skills necessary for success.

  • Library of Elementary Functions—Optional material that can be covered in its entirety or referred to as needed.
    • Encourages students to view mathematical ideas and processes graphically, numerically, and algebraically.

  • Optional regression analysis—Includes graphing calculator and spreadsheet output.
    • Illustrates one of the basic tools of mathematical modeling with optional examples and exercises, so that students can relate the text topics to the real world.

  • Topic selection, coverage, and organization—From the course outlines and catalogs of many major colleges and universities.
    • Takes into account the way the course is typically taught. Gives students the essential mathematical skills needed to effectively pursue courses of study in business and economics.

  • NEW - New and revised applications throughout—Illustrates the relevance of mathematics to the real world and gives students opportunities to create and interpret math models.
  • NEW - Revisions and updates throughout—Presents a more logical flow of material. There is a new section on Logic. Chapter 6 (Logic, Sets, and Counting) serves as a foundation for Probability (Ch. 7); makes the coverage even more accessible to students. Coverage of graphing data and quantitative data has been combined into one section (section 8.1); provides a more concise introduction to these topics.
  • NEW - Insight boxes—A new feature, appearing in every chapter, that helps students make connections with previous knowledge.
  • NEW - 15% new or revised exercises—Increases the number of A level problems and explore-discuss problems, while decreasing the number of exercises that involve extensive algebraic manipulation.
  • NEW - Chapter Problem—A new feature appearing on the chapter opener in which a motivational problem is presented, which relates to the chapter content, and illustrates the relevancy of the material that students are learning.
  • NEW - Updated pedagogy throughout—Includes chapter-opening problems, learning objectives, and thorough end-of-chapter summaries.
    • Helps the student prepare for the chapter material and serves as a useful study tool.

(Each chapter concludes with Important Terms, Symbols, and Concepts; Review Exercise; and Group Activities.)

PART ONE. A LIBRARY OF ELEMENTARY FUNCTIONS.

CHAPTER 1. A Beginning Library of Elementary Functions.

1-1 Functions.

1-2 Elementary Functions: Graphs and Transformations.

1-3 Linear Functions and Straight Lines.

1-4 Quadratic Functions.

CHAPTER 2. Additional Elementary Functions.

2-1 Polynomial and Rational Functions.

2-2 Exponential Functions.

2-3 Logarithmic Functions.

PART TWO. FINITE MATHEMATICS.

CHAPTER 3. Mathematics of Finance.

3-1 Simple Interest.

3-2 Compound Interest.

3-3 Future Value of an Annuity; Sinking Funds.

3-4 Present Value of an Annuity; Amortization.

CHAPTER 4. Systems of Linear Equations; Matrices.

4-1 Review: Systems of Linear Equations in Two Variables.

4-2 Systems of Linear Equations and Augmented Matrices.

4-3 Gauss-Jordan Elimination.

4-4 Matrices: Basic Operations.

4-5 Inverse of a Square Matrix.

4-6 Matrix Equations and Systems of Linear Equations.

4-7 Leontief Input-Output Analysis.

CHAPTER 5. Linear Inequalities and Linear Programming.

5-1 Systems of Linear Inequalities in Two Variables.

5-2 Linear Programming in Two Dimensions—A Geometric Approach.

5-3 A Geometric Introduction to the Simplex Method.

5-4 The Simplex Method: Maximization with Problem Constraints of the Form.

5-5 The Dual; Minimization with Problem Constraints of the Form.

5-6 Maximization and Minimization with Mixed Problem Constraints.

CHAPTER 6. Logic, Sets, and Counting.

6-1 Logic.

6-2 Sets.

6-3 Basic Counting Principles.

6-4 Permutations and Combinations.

CHAPTER 7. Probability.

7-1 Sample Spaces, Events, and Probability.

7-2 Union, Intersection, and Complement of Events; Odds.

7-3 Conditional Probability, Intersection, and Independence.

7-4 Bayes' Formula.

7-5 Random Variable, Probability Distribution, and Expected Value.

CHAPTER 8. Data Description and Probability Distributions.

8-1 Graphing Data.

8-2 Measures of Central Tendency.

8-3 Measures of Dispersion.

8-4 Bernoulli Trials and Binomial Distributions.

8-5 Normal Distributions.

CHAPTER 9. Games and Decisions.

9-1 Strictly Determined Games.

9-2 Mixed Strategy Games.

9-3 Linear Programming and 2 _ 2 Games—Geometric Approach.

9-4 Linear Programming and m _ n Games—Simplex Method and the Dual Problem.

CHAPTER 10. Markov Chains.

10-1 Properties of Markov Chains.

10-2 Regular Markov Chains.

10-3 Absorbing Markov Chains.

APPENDIX A. Basic Algebra Review.

Self-Test on Basic Algebra.

A-1 Algebra and Real Numbers.

A-2 Operations on Polynomials.

A-3 Factoring Polynomials.

A-4 Operations on Rational Expressions.

A-5 Integer Exponents and Scientific Notation.

A-6 Rational Exponents and Radicals.

A-7 Linear Equations and Inequalities in One Variable.

A-8 Quadratic Equations.

APPENDIX B. Special Topics.

B-1 Sequences, Series, and Summation Notation.

B-2 Arithmetic and Geometric Sequences.

B-3 The Binomial Theorem.

APPENDIX C. Tables.

Table I Area Under the Standard Normal Curve.

Table II Basic Geometric Formulas.

Answers.

Index.

Library of Elementary Functions.

Applications Index.

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