College Mathematics for Business, Economics, Life Sciences, and Social Sciences, Global Edition

Series
Pearson
Author
Raymond A. Barnett / Michael R. Ziegler / Karl E. Byleen / Christopher J. Stocker  
Publisher
Pearson
Cover
Softcover
Edition
14
Language
English
Total pages
1016
Pub.-date
April 2019
ISBN13
9781292270494
ISBN
1292270497
Related Titles


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9781292270494
College Mathematics for Business, Economics, Life Sciences, and Social Sciences, Global Edition
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Description

For two-semester courses in Finite Math & Applied Calculus or Mathematics for Business.

 

Helps students “get the idea.”

College Mathematics for Business, Economics, Life Sciences, and Social Sciences, 14th Edition offers more built-in guidance than any other text for this course – with special emphasis on applications and prerequisite skills – and a host of student-friendly features to help students catch up or learn on their own. Its emphasis on helping students “get the idea” is enhanced in the new edition by a design refresh, updated data and applications, and a robust MyLab™ Math course.

 

The text is organized into three parts: A Library of Elementary Functions (Chapter 1), Finite Mathematics (Chapters 2-7, 14), and Calculus (Chapters 8-13).

 

MyLab™ Math is not included. Students, if MyLab Math is a recommended/mandatory component of the course, please ask your instructor for the correct ISBN. MyLab Math should only be purchased when required by an instructor. Instructors, contact your Pearson representative for more information.

 

Reach every student by pairing this text with MyLab Math

MyLab™ is the teaching and learning platform that empowers you to reach every student. By combining trusted author content with digital tools and a flexible platform, MyLab personalizes the learning experience and improves results for each student.

Features

This title is a Pearson Global Edition. The Editorial team at Pearson has worked closely with educators around the world to include content which is especially relevant to students outside the United States.

 

Helps students “get the idea” through extensive built-in guidance

  • More than 300 completely worked examples introduce concepts and demonstrate problem-solving techniques.
  • Matched Problems accompany each of the worked examples to help students gain solid knowledge of the basic topics and assess their own level of understanding before moving on.
  • In order to emphasize problem solving, concepts, and computational skills, most derivations and proofs are omitted, except where their inclusion adds significant insight into a particular concept.
  • NEW! Full-color design and modern look helps students navigate the text and enhances its pedagogical features. The revised design refresh is free of potentially distracting elements. The figures in the text have been re-rendered using the latest software and re-conceived to take advantage of a full color palette in order to maximize their instructional potential.

 

A flexible structure that helps instructors meet the varied needs of their students

  • The variety of exercise types and difficulty levels enable instructors to  easily craft homework assignments tailored to their students’ needs:
  • Exercise sets at the end of each section consist of Skills Warm-up problems that review prerequisite knowledge specific to that section, followed by problems that are categorized according to level of difficulty (A, B, and C), followed by Applications.
    • Applications give students substantial experience in modeling and solving real-world problems. Almost every exercise set contains application problems that were derived from real-world situations.
  • Chapter Reviews include a comprehensive summary of important terms, symbols, and concepts, keyed to completely worked examples, and are followed by a set of Review Exercises.
  • A Diagnostic Prerequisite Test assesses students’ prerequisite skills prior to taking the course and provides a Basic Algebra Review to help them remediate in specific areas of need.

 

MyLab™ Math is not included. Students, if MyLab Math is a recommended/mandatory component of the course, please ask your instructor for the correct ISBN. MyLab Math should only be purchased when required by an instructor. Instructors, contact your Pearson representative for more information.

 

Deliver trusted content: We partner with highly respected authors to develop interactive content and course-specific resources that you can trust–and that keep your students engaged.

  • Homework and practice exercises for this text regenerate algorithmically to give students unlimited opportunity for practice and mastery. MyLab Math provides helpful feedback when students enter incorrect answers and includes the optional learning aids Help Me Solve This, View an Example, videos, and/or the eText. Exercise types include:
    • Instructors now have more exercises than ever to choose from in assigning homework. Most new questions are application-oriented. There are approximately 6,200 assignable exercises in MyLab Math for this text.
    • NEW! Setup & Solve exercises that require students to show how they set up a problem as well as the solution, better mirroring what is required of students on tests.
    • NEW! Additional Conceptual Questions that provide support for assessing concepts and vocabulary. Many of these questions are application oriented.
  • NEW! A full suite of Interactive Figures has been added to support teaching and learning. The figures illustrate key concepts and allow manipulation. They have been designed to be used in lecture as well as by students independently.
  • Instructional videos: Every example in the text has an instructional video tied to it for independent study. Videos are also available as learning aids within exercises and for self-study. MathTalk and StatTalk videos were added to highlight applications of the content of the course to business and the Guide to Video-Based Assignments shows which MyLab Math exercises can be assigned for each video (all videos are also assignable).
  • A complete eText: Students and instructors get unlimited access to the eText within any MyLab Math course using that edition of the textbook.
  • Learning Catalytics, included in all MyLab Math courses, is a student response tool that uses students’ smartphones, tablets, or laptops to engage them in more interactive tasks and thinking during lecture. Learning Catalytics fosters student engagement and peer-to-peer learning with real-time analytics. You can access pre-built exercises created specifically for this course.

 

Empower each learner: Each student learns at a different pace. Personalized learning pinpoints the precise areas where each student needs practice, giving all students the support they need–when and where they need it–to be successful.

 

Teach your course your way: Your course is unique. So whether you’d like to build your own assignments, teach multiple sections, or set prerequisites, MyLab gives you the flexibility to easily create your course to fit your needs.

  • ENHANCED! Instructor and student resources can be downloaded from MyLab Math and have been enhanced to include the following resources.
    • A Note-Taking Guide supports students as they take notes in class. It includes definitions, theorems, and statements of examples but has blank space for students to write solutions to examples and sample problems. The Note-Taking Guide corresponds to the Lecture PowerPoints that accompany the text.
    • Learning Worksheets include key chapter definitions and formulas, followed by exercises for students to practice in class, for homework, or for independent study.

 

Improve student results: When you teach with MyLab, student performance improves. That’s why instructors have chosen MyLab for over 15 years, touching the lives of over 50 million students.

New to this Edition

New to the Book

  • Full-color design and modern look helps students navigate the text and appeals to visual learners. This design refresh enhances the clean page layout that is free of potentially distracting elements. The figures in the text have been re-rendered using the latest software and re-conceived to take advantage of a full color palette in order to maximize their instructional potential.
  • Reminder features in the side margin either remind students of a concept that is needed at that point in the book or direct the student back to the section in which it was covered earlier.
  • Section 1.1 includes rewritten and simplified material on cost, revenue, and profit.
  • Section 10.5 includes rewritten Theorem 3 on using the second-derivative test to find absolute extrema, making it applicable to more general intervals.
  • Section 12.3 includes rewritten material on the future value of a continuous income stream to provide a more intuitive and less technical treatment.

 

MyLab™ Math is not included. Students, if MyLab Math is a recommended/mandatory component of the course, please ask your instructor for the correct ISBN. MyLab Math should only be purchased when required by an instructor. Instructors, contact your Pearson representative for more information.

 

New to MyLab Math

  • Instructors now have more exercises than ever to choose from in assigning homework. Most new questions are application-oriented. There are approximately 6,200 assignable exercises in MyLab Math for this text. 
  • Setup & Solve exercises require students to show how they set up a problem as well as the solution, better mirroring what is required of students on tests.
  • Additional Conceptual Questions provide support for assessing concepts and vocabulary. Many of these questions are application oriented.
  • A full suite of Interactive Figures has been added to support teaching and learning. The figures illustrate key concepts and allow manipulation. They have been designed to be used in lecture as well as by students independently. 
  • Study skills modules help students with the life skills that can make the difference between passing and failing.
  • MathTalk and StatTalk videos highlight applications of the content of the course to business. The videos are supported by assignable exercises.
  • The Graphing Calculator Manual and Excel Spreadsheet Manual, both specific to this course, have been updated to support the TI-84 Plus CE (color edition) and Excel 2016, respectively. Both manuals also contain additional topics to support the course. These manuals are within the Tools for Success tab.
  • Instructor and student resources can be downloaded from MyLab Math and have been enhanced to include the following resources:
    • A Note-Taking Guide supports students as they take notes in class. It includes definitions, theorems, and statements of examples but has blank space for students to write solutions to examples and sample problems. The Note-Taking Guide corresponds to the Lecture PowerPoints that accompany the text.
    • The Guide to Video-Based Assignments shows which MyLab Math exercises can be assigned for each video.
An Instructor Answers document, with all answers in one place, augments the downloadable Instructor Solutions Manual.

Table of Contents

I. A LIBRARY OF ELEMENTARY FUNCTIONS

 

1. Functions and Graphs

1.1 Functions 

1.2 Elementary Functions: Graphs and Transformations 

1.3 Quadratic Functions 

1.4 Polynomial and Rational Functions 

1.5 Exponential Functions 

1.6 Logarithmic Functions 

Chapter 1 Summary and Review 

Review Exercises 

 

II. FINITE MATHEMATICS

2. Mathematics of Finance 

2.1 Simple Interest

2.2 Compound and Continuous Compound Interest

2.3 Future Value of an Annuity; Sinking Funds 

2.4 Present Value of an Annuity; Amortization 

Chapter 2 Summary and Review 

Review Exercises

 

3. Systems of Linear Equations; Matrices

3.1 Review: Systems of Linear Equations in Two Variables

3.2 Systems of Linear Equations and Augmented Matrices 

3.3 Gauss—Jordan Elimination 

3.4 Matrices: Basic Operations 

3.5 Inverse of a Square Matrix 

3.6 Matrix Equations and Systems of Linear Equations 

3.7 Leontief Input—Output Analysis 

Chapter 3 Summary and Review 

Review Exercises 

 

4. Linear Inequalities and Linear Programming 

4.1 Linear Inequalities in Two Variables 

4.2 Systems of Linear Inequalities in Two Variables 

4.3 Linear Programming in Two Dimensions: A Geometric Approach

Chapter 4 Summary and Review 

Review Exercises

 

5. Linear Programming: The Simplex Method

5.1 The Table Method: An Introduction to the Simplex Method

5.2 The Simplex Method: Maximization with Problem Constraints of the Form ≤ 

5.3 The Dual Problem: Minimization with Problem Constraints of the Form ≥ 

5.4 Maximization and Minimization with Mixed Problem Constraints 

Chapter 5 Summary and Review 

Review Exercises 

 

6. Logic, Sets, and Counting 

6.1 Logic

6.2 Sets 

6.3 Basic Counting Principles 

6.4 Permutations and Combinations 

Chapter 6 Summary and Review 

Review Exercises

 

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 7 Summary and Review 

Review Exercises 

 

III. CALCULUS

8. Limits and the Derivative

8.1 Introduction to Limits 

8.2 Infinite Limits and Limits at Infinity 

8.3 Continuity 

8.4 The Derivative 

8.5 Basic Differentiation Properties 

8.6 Differentials 

8.7 Marginal Analysis in Business and Economics 

Chapter 8 Summary and Review

Review Exercises 

 

9. Additional Derivative Topics 

9.1 The Constant e and Continuous Compound Interest 

9.2 Derivatives of Exponential and Logarithmic Functions 

9.3 Derivatives of Products and Quotients 

9.4 The Chain Rule 

9.5 Implicit Differentiation 

9.6 Related Rates

9.7 Elasticity of Demand 

Chapter 9 Summary and Review 

Review Exercises 

 

10. Graphing and Optimization

10.1 First Derivative and Graphs

10.2 Second Derivative and Graphs

10.3 L’Hôpital’s Rule 

10.4 Curve-Sketching Techniques 

10.5 Absolute Maxima and Minima 

10.6 Optimization 

Chapter 10 Summary and Review 

Review Exercises 

 

11. Integration 

11.1 Antiderivatives and Indefinite Integrals 

11.2 Integration by Substitution

11.3 Differential Equations; Growth and Decay

11.4 The Definite Integral 

11.5 The Fundamental Theorem of Calculus 

11.6 Area Between Curves

Chapter 11 Summary and Review

Review Exercises 

 

12. Additional Integration Topics

12.1 Integration by Parts

12.2 Other Integration Methods

12.3 Applications in Business and Economics

 

Chapter 12 Summary and Review 

Review Exercises 

 

13. Multivariable Calculus

13.1 Functions of Several Variables 

13.2 Partial Derivatives 

13.3 Maxima and Minima 

13.4 Maxima and Minima Using Lagrange Multipliers

13.5 Method of Least Squares 

13.6 Double Integrals over Rectangular Regions 

13.7 Double Integrals over More General Regions 

Chapter 13 Summary and Review 

Review Exercises  

 

14. Markov Chains (online) 

14.1 Properties of Markov Chains 

14.2 Regular Markov Chains 

14.3 Absorbing Markov Chains 

Chapter 14 Summary and Review

Review Exercises 

 

Appendix A: Linear Equations and Graphs

A.1 Linear Equations and Inequalities

A.2 Graphs and Lines

A.3 Linear Regression

 

Appendix B: Basic Algebra Review 

A.1 Real Numbers 

B.2 Operations on Polynomials

B.3 Factoring Polynomials 

B.4 Operations on Rational Expressions

B.5 Integer Exponents and Scientific Notation 

B.6 Rational Exponents and Radicals 

B.7 Quadratic Equations 

 

Appendix C:  Special Topics (online at goo.gl/mjbXrG)  

C.1 Sequences, Series, and Summation Notation 

C.2 Arithmetic and Geometric Sequences

C.3 Binomial Theorem 

C.4 Interpolating Polynomials and Divided Differences

 

Appendix D: Tables 

Table I Integration Formulas

Table II Area under the Standard Normal Curve 

 

Answers

Index

Index of Applications