Finite Mathematics for Business, Economics, Life Sciences, and Social Sciences

Description

• Personalized learning with MyMathLab^®: the accompanying MyMathLab course provides online homework and learning tools that help students help themselves succeed.
• NEW! Increased exercise coverage—choose from 2,400 assignable exercises to give students the varied practice they need.
• NEW! Getting Ready content and assessment provides chapter-by-chapter remediation for gaps in prerequisite skills.
• NEW! Adaptive learning functionality analyzes student work and points them toward resources that maximize their learning.
• Instructional videos for every example in the text are ideal for self-paced or independent study.
• More than 4,200 exercises in the text are carefully selected and graded, helping you craft the perfect assignments for your students.
• Prerequisite skills are assessed at the beginning of the text and are revisited before each exercise set.
• A Diagnostic Prerequisite Test prior to Chapter 1 helps students assess their prerequisite skills. NEW! This test has been heavily revised to better address the specific skills needed for Finite Math.
• The Basic Algebra Review in Appendix A (referenced in the answers to the Diagnostic Prerequisite Test) provides students with the content they need to remediate those skills.
• NEW! Skills Warm Up exercises begin most exercise sets, reviewing prerequisite knowledge specific to that section in a “just in time” approach. References to review material are provided for students who need a refresher.
• A, B, and C levels of exercises make it easy to appropriately challenge your students. NEW! A, B, and C labels now appear in the Annotated Instructor’s Edition only, so students can work without being distracted by difficulty level.
• 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, give students an opportunity to practice using tools they will likely use in the workplace, and allow students to solve problems that are not feasible to solve by hand.
• 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.
• Guided Lecture Notes offer a convenient, ready-to-use format, with ample space for students to take notes and show their work on in-class examples. The guide is text-specific, organized by Learning Objective, and highlights key examples and definitions. NEW! Instructors can download and edit this guide so the organization of the guide directly reflects the goals and approach of each lesson.
• Built-in guidance helps students help themselves learn the course content.
• 301 worked examples, including many with several parts.
• Examples are annotated and the problem-solving steps are clearly identified, which gives students extra assistance in understanding the solution.
• Dashed boxes show the detailed algebraic steps that are normally not included in textbooks, giving students extra help in working through the examples.
• A Matched Problem follows each example, providing students with an opportunity to reinforce and test understanding before moving on.
• Conceptual Insight boxes, appearing in nearly every section, either make explicit connections to previously learned concepts or provide a broader, more conceptual explanation of the topic, helping students place this new information in context.
• 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. NEW! The author has provided Teaching Tips for less-experienced instructors on how to engage students in these discussions and the goals of the exploration.
• Flexible coverage allows instructors to use this text in a way that suits their syllabus and teaching style.
• Topic selection, coverage, and organization reflect the course outlines of many major colleges and universities. The content is organized into two parts:
• A Library of Elementary Functions (Chapters 1-2) provides optional material that can be covered in its entirety or referred to as needed.
• Finite Mathematics (Chapters 3–9) coverage features a separate chapter on the simplex method and thorough coverage of Markov chains.
• 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 discussions on using graphing calculators and spreadsheets are included where appropriate.
• Mini-Lectures are included for most sections of the text and provide additional classroom examples, a summary of suggested learning objectives, 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.
• NEW! An Annotated Instructor’s Edition is now available, providing answers to exercises directly on the exercise set page whenever possible.
• Teaching Tips are also provided for less experienced instructors, giving them insight on common student pitfalls, suggestions for how to approach a topic, or reminders of which prerequisite skills students will be using.
• Exercise difficulty level (i.e, A, B, and C) is indicated in the Annotated Instructor’s Edition only, so students can work without being distracted by difficulty level.

 

Note: You are purchasing a standalone product; MyMathLab does not come packaged with this content. If you would like to purchase both the physical text and MyMathLab, search for ISBN-10: 0321947622 /ISBN-13: 9780321947628.

That package includes ISBN-10: 0321431308 /ISBN-13: 9780321431301,  ISBN-10: 0321654064/ISBN-13:978032165406, and ISBN-10: 0321945522/ISBN-13: 9780321945525.

MyMathLab is not a self-paced technology and should only be purchased when required by an instructor.

For freshman/sophomore, 1-semester or 1-2 quarter courses covering finite mathematics for students in business, economics, social sciences, or life sciences.

 

Barnett/Ziegler/Byleen is designed to help students help themselves succeed in the course. This text offers more built-in guidance than any other on the market–with special emphasis on prerequisites skills–and a host of student-friendly features to help students catch up or learn on their own.

 

This program provides a better teaching and learning experience. Here’s how:

• Personalized learning with MyMathLab^®: the accompanying MyMathLab course provides online homework and learning tools that help students help themselves succeed.
• More than 4,200 exercises in the text help you craft the perfect assignments for your students, with plenty of support for prerequisite skills.
• Built-in guidance helps students help themselves learn course content.
• Flexible coverage allows instructors to use this text in a way that suits their syllabus and teaching style.

 

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Note: You are purchasing a standalone product; MyMathLab does not come packaged with this content. If you would like to purchase both the physical text and MyMathLab, search for ISBN-10: 0321947622 /ISBN-13: 9780321947628.

That package includes ISBN-10: 0321431308 /ISBN-13: 9780321431301,  ISBN-10: 0321654064/ISBN-13:978032165406, and ISBN-10: 0321945522/ISBN-13: 9780321945525.

MyMathLab is not a self-paced technology and should only be purchased when required by an instructor.

Barnett/Ziegler/Byleen is designed to help students help themselves succeed in the course. This text offers more built-in guidance than any other on the market–with special emphasis on prerequisites skills–and a host of student-friendly features to help students catch up or learn on their own.

 

 

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.

 

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.

• Personalized learning with MyMathLab^®: the accompanying MyMathLab course provides online homework and learning tools that helps students help themselves succeed.
  • Increased exercise coverage—choose from 2,400 assignable exercises to give students the varied practice they need.
  • Getting Ready content provides chapter-by-chapter remediation for gaps in prerequisite skills.
  • Adaptive learning functionality analyzes student work and points them toward resources that maximize their learning.
• Enhancements to the exercise sets:
  • The Diagnostic Prerequisite Test has been heavily revised to better address the specific skills needed for Finite Math.
  • Skills Warm Up exercises begin most exercise sets, reviewing prerequisite knowledge specific to that section in a “just in time” approach. References to review material are provided for students who need a refresher.
  • A, B, and C labels within the exercises now appear in the Annotated Instructor’s Edition only, so students can work without being distracted by difficulty level.
  • Guided Lecture Notes are now editable so the organization of the guide can directly reflect your goals and approach for each section.
• Content updates:
  • The exposition has been revised and clarified throughout the book.
  • Examples and exercises have been given up-to-date contexts and data.
  • Section 6.1 has been rewritten to better motivate and introduce the simplex method and associated terminology.
• New for Instructors:
  • An Annotated Instructor’s Edition is now available, providing answers to exercises directly on the exercise set page whenever possible.
    • Teaching Tips are also provided for less experienced instructors, giving them insight on common student pitfalls, suggestions for how to approach a topic, or reminders of which prerequisite skills students will be tapping in to.
    • Exercise difficulty level (i.e., A, B, and C) is indicated in the Annotated Instructor’s Edition only, so students can work without being distracted by difficulty level.

 

Diagnostic Prerequisite Test

 

PART ONE: A LIBRARY OF ELEMENTARY FUNCTIONS

 

1. Linear Equations and Graphs

1.1 Linear Equations and Inequalities

1.2 Graphs and Lines

1.3 Linear Regression

            Chapter 1 Review

            Review Exercises

 

2. Functions and Graphs

2.1 Functions

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

            Review Exercises

 

PART TWO: FINITE MATHEMATICS

 

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

            Review Exercises

 

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

            Review Exercises

 

5. Linear Inequalities and Linear Programming

5.1 Linear 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

            Review Exercises

 

6. Linear Programming: The Simplex Method

6.1 the Table Method: An 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

            Review Exercises

 

7. Logic, Sets, and Counting

7.1 Logic

7.2 Sets

7.3 Basic Counting Principles

7.4 Permutations and Combinations

            Chapter 7 Review

            Review Exercises

 

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

            Review Exercises

 

9. Markov Chains

9.1 Properties of Markov Chains

9.2 Regular Markov Chains

9.3 Absorbing Markov Chains

            Chapter 9 Review

            Review Exercises

 

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

            Review Exercises

 

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

            Review Exercises

 

APPENDICES

A. Basic Algebra Review

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

 

B. Special Topics

B.1 Sequences, Series, and Summation Notation

B.2 Arithmetic and Geometric Sequences

B.3 Binomial Theorem

 

C. Tables

Table I. Area Under the Standard Normal Curve

Table II. Basic Geometric Formulas

 

Answers

Index

Applications Index