Finite Mathematics for Business, Economics, Life Sciences and Social SciencesInternational Edition
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This accessible text is designed to help readers help themselves to excel. The content is organized into two parts: (1) A Library of Elementary Functions (Chapters 1—2) and (2) Finite Mathematics (Chapters 3—11). The book’s overall approach, refined by the authors’ experience with large sections of college freshmen, addresses the challenges of teaching and learning when readers’ prerequisite knowledge varies greatly. Reader-friendly features such as Matched Problems, Explore & Discuss questions, and Conceptual Insights, together with the motivating and ample applications, make this text a popular choice for today’s students and instructors.
Part One: A Library of Elementary Functions
Chapter 1: Linear Equations and Graphs
1-1 Linear Equations and Inequalities
1-2 Graphs and Lines
1-3 Linear Regression
Chapter 1 Review
Chapter 2: Functions and Graphs
2-2 Elementary Functions: Graphs and Transformations
2-3 Quadratic Functions
2-4 Polynomial and Rational Functions
2-5 Exponential Functions
2-6 Logarithmic Functions
Chapter 2 Review
Part Two: Finite Mathematics
Chapter 3: Mathematics of Finance
3-1 Simple Interest
3-2 Compound and Continuous Compound Interest
3-3 Future Value of an Annuity; Sinking Funds
3-4 Present Value of an Annuity; Amortization
Chapter 3 Review
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 4 Review
Chapter 5: Linear Inequalities and Linear Programming
5-1 Inequalities in Two Variables
5-2 Systems of Linear Inequalities in Two Variables
5-3 Linear Programming in Two Dimensions: A Geometric Approach
Chapter 5 Review
Chapter 6: Linear Programming: Simplex Method
6-1 A Geometric Introduction to the Simplex Method
6-2 The Simplex Method: Maximization with Problem Constraints of the Form =
6-3 The Dual; Minimization with Problem Constraints of the form =
6-4 Maximization and Minimization with Mixed Problem Constraints
Chapter 6 Review
Chapter 7: Logic, Sets, and Counting
7-3 Basic Counting Principles
7-4 Permutations and Combinations
Chapter 7 Review
Chapter 8: Probability
8-1 Sample Spaces, Events, and Probability
8-2 Union, Intersection, and Complement of Events; Odds
8-3 Conditional Probability, Intersection, and Independence
8-4 Bayes' Formula
8-5 Random Variables, Probability Distribution, and Expected Value
Chapter 8 Review
Chapter 9: Markov Chains
9-1 Properties of Markov Chains
9-2 Regular Markov Chains
9-3 Absorbing Markov Chains
Chapter 9 Review
Chapter 10: Games and Decisions
10-1 Strictly Determined Games
10-2 Mixed Strategy Games
10-3 Linear Programming and 2 x 2 Games--Geometric Approach
10-4 Linear Programming and m x n Games--Simplex Method and the Dual
Chapter 10 Review
Chapter 11: Data Description and Probability Distributions
11-1 Graphing Data
11-2 Measures of Central Tendency
11-3 Measures of Dispersion
11-4 Bernoulli Trials and Binomial Distributions
11-5 Normal Distributions
Chapter 11 Review
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 Quadratic Equations
Appendix B: Special Topics
B-1 Sequences, Series, and Summation Notation
B-2 Arithmetic and Geometric Sequences
B-3 Binomial Theorem
Appendix C: Tables
Table I Area Under the Standard Normal Curve
Table II Basic Geometric Formulas
A Library of Elementary Functions
- 280 worked examples including many with several parts.
- Examples are annotated and the problem-solving steps are clearly identified. This gives students extra assistance in understanding the solution.
- Selected examples include steps that are usually performed mentally to provide a “basics refresher” for students who need it. (These steps are set off with dashed lines; see page 109, example 4.)
- A Matched Problem follows each example, providing students with an opportunity to reinforce and test understanding before moving on.
- More than 5,600 carefully selected and graded exercises are designed to help you craft the right assignments for students.
- A, B, and C levels of exercises make it easy to appropriately challenge your students.
- Paired exercises of the same type and difficulty level (consecutive odd and even) allow you control over student use of answers (odd answers at the back of the text).
- Ample and up-to-date applications illustrate the relevance of mathematics and give students opportunities to create and interpret mathematical models.
- Optional graphing-utility and spreadsheet examples and exercises are clearly identified by an icon. These provide a deeper understanding of mathematical concepts and allow students to solve problems that are not feasible to solve by hand.
- Explore & Discuss problems in every section encourage students to think about a relationship or process before a result is stated or to investigate additional consequences of a development in the text. These problems can help students of all levels gain better insight into the mathematical concepts and are effective in both small and large classroom settings.
- Conceptual Insight boxes, appearing in nearly every section, make explicit connections to previously learned concepts, helping students place this new information in context.
- An Algebra Diagnostic Test prior to Chapter 1 helps students assess their prerequisite skills, while the Basic Algebra Review in Appendix A (referenced in the answers to the Algebra Diagnostic Test) provides students with the content they need to remediate those skills.
- Chapter Reviews include exercises at the A, B, and C levels as well as thorough end-of-chapter summaries keyed by page number to worked examples within the chapter.
- Topic selection, coverage, and organization reflect the course outlines and catalogs of many major colleges and universities. This text takes into account the way the course is typically taught and gives students the essential mathematical skills needed to effectively pursue courses of study in business and economics.
- A Library of Elementary Functions (Chapters 1 & 2) provides optional material that can be covered in its entirety or referred to as needed. These chapters encourage students to view mathematical ideas and processes graphically, numerically, and algebraically.
- Emphasis on the construction of mathematical models, especially in linear systems and linear programming, gives students critical tools for solving application problems.
- Technology coverage is optional, but brief discussions on using graphing calculators and spreadsheets are included where appropriate.
- Mini-Lectures are included for most sections from the text and provide additional classroom examples, a summary of suggested learning objectives to cover, and teaching notes for the material. These mini-lectures are ideal for instructors who do not teach this course frequently, or just need some additional guidance or resources. Mini-lectures are available for download from the Instructor Resource Center as well as within MyMathLab®.
- Worksheets for Classroom or Lab Practice offer a convenient, ready-to-use format, with ample space for students to show their work. The worksheets are written specifically for this text, are organized by Learning Objective, and highlight key Vocabulary Terms and Vocabulary Exercises for student reference as a study guide.
- MyMathLab features an ample selection of homework exercises plus instructional videos for every example in the text.
Raymond A. Barnett, a native of California, received his B.A. in mathematical statistics from the University of California at Berkeley and his M.A. in mathematics from the University of Southern California. He has been a member of the Merritt College Mathematics Department, and was chairman of the department for four years. Raymond Barnett has authored or co-authored eighteen textbooks in mathematics, most of which are still in use. In addition to international English editions, a number of books have been translated into Spanish. Co-authors include Michael Ziegler, Marquette University; Thomas Kearns, Northern University; Charles Burke, City College of San Francisco; John Fuji, Merritt College; and Karl Byleen, Marquette University.
Michael R. Ziegler (late) received his B.S. from Shippensburg State College and his M.S. and Ph.D. from the University of Delaware. After completing post doctoral work at the University of Kentucky, he was appointed to the faculty of Marquette University where he held the rank of Professor in the Department of Mathematics, Statistics, and Computer Science. Dr. Ziegler published over a dozen research articles in complex analysis and co-authored eleven undergraduate mathematics textbooks with Raymond A. Barnett, and more recently, Karl E. Byleen.
Karl E. Byleen received his B.S., M.A. and Ph.D. degrees in mathematics from the University of Nebraska. He is currently an Associate Professor in the Department of Mathematics, Statistics and Computer Science of Marquette University. He has published a dozen research articles on the algebraic theory of semigroups.