Mathematics with Applications in the Management, Natural and Social Sciences, Global Edition

Series
Pearson
Author
Margeret L. Lial / Thomas W. Hungerford / John P. Holcomb  
Publisher
Pearson
Cover
Softcover
Edition
11
Language
English
Total pages
960
Pub.-date
January 2015
ISBN13
9781292058641
ISBN
1292058641
Related Titles


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9781292058641
Mathematics with Applications in the Management, Natural and Social Sciences, Global Edition
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Description

Mathematics with Applications in the Management, Natural, and Social Sciences presents sound mathematics in an understandable manner, proceeding from familiar to new material and from concrete examples to general rules and formulas. The Eleventh Edition retains its focus on real-world problem solving, but has been refreshed with revised and added content, updated and new applications, fine-tuned and newly-integrated pedagogical devices, and enhanced exercise sets. The new edition supports students with a tightly integrated MyMathLab® course and quality applications and exercises.

Teaching and Learning Experience 
This program will provide a better teaching and learning experience. Here’s how:

  • Personalized help with MyMathLab®MyMathLab delivers proven results by personalizing the learning process.
  • Strong foundation of algebra: The authors devote the first four chapters to algebra topics that form the foundation for the finite mathematics and calculus topics that follow.
  • Built for student success: proven pedagogy, robust exercise sets, and comprehensive end-of-chapter material help students succeed in the course.
  • Motivation: Students constantly see the math applied to their major areas of study.

Please note that the product you are purchasing does not include MyMathLab.

MyMathLab

Join over 11 million students benefiting from Pearson MyLabs.

This title can be supported by MyMathLab, an online homework and tutorial system designed to test and build your understanding. Would you like to use the power of MyMathLab to accelerate your learning?

These are the steps you need to take:

1.  Make sure that your lecturer is already using the system

Ask your lecturer before purchasing a MyLab product as you will need a course ID from them before you can gain access to the system.

2.  Check whether an access code has been included with the book at a reduced cost.

If it has, it will be on the inside back cover of the book.

3. If you have a course ID but no access code, you can benefit from MyMathLab at a reduced price by purchasing a pack containing a copy of the book and an access code for MyMathLab (ISBN: 9781292072630)

4.  If your lecturer is using the MyLab and you would like to purchase the product...Go to www.mymathlab.com to buy access to this interactive study programme.

Features

Strong foundation of algebra: The authors devote the first four chapters to coverage of algebra topics that form the foundation of the finite mathematics and calculus topics that follow.

  • Foundational Chapters: The text begins with four chapters of algebra that can be used in a variety of ways based on the needs of the students and the goals of the course.  Take advantage of all the content in these chapters as needed so students will be more successful with later topics and future courses.
  • Diagnostic Tests—As a way to address the often weak algebra skills that students bring to this course, two diagnostic exams are provided just prior to Chapter 1.
    • Prerequisite Skills Test assesses student understanding of the core skills students should have prior to starting the course.
    • Calculus Readiness Test is designed to diagnose any gaps in algebra skills prior to starting the calculus content in Chapter 11.
    • Fully Worked-Out Solutions to the diagnostic tests are provided in the back of the book as a way to help students self-remediate as needed, saving valuable class time. References to specific sections for remediation are provided with the solutions to the Calculus Readiness Test so that students can take advantage of Chapters 1-4 for self-remediation.  
  • Balanced Approach: Multiple representations of a topic (symbolic, numerical, graphical, verbal) are given when appropriate. However, the authors do not believe that all representations are useful for all topics, so effective alternatives are discussed only when they are likely to increase student understanding.

Built for student success: proven pedagogy, robust exercise sets, and comprehensive end-of-chapter material help students succeed in the course.

  • Exercises have been updated to reflect the latest data and to incorporate feedback received on the previous version of the text.
    • NEW! Approximately 21% of the 5,487 exercises in the text are new or updated.
    • Example/Exercise Connection: Selected exercises include a reference back to related example(s) within the section (e.g., “See Examples 6 and 7”) to facilitate what students do naturally when they use a book—i.e., look for specific examples when they get stuck on a problem.
    • NEW! A careful and thorough review of the relationship between examples and exercises has been completed to ensure that students have adequate and relevant examples to refer to when working on homework exercises
    • Writing, Connections (relate current topics to earlier sections), and Technology Required exercises are specially marked, and provide variety in addition to the drill, conceptual, and application-based exercises.
    • NEW! Exercises are now better paired so that the even exercises require similar knowledge for solution as the corresponding odd exercise (the answer for which is at the back of the book in the Student Edition).
  • Caution notes highlight common student difficulties or warn against frequently made mistakes.
  • Checkpoint Exercises in the margin are keyed to the discussion in the text. These exercises provide students with an opportunity to practice and gauge their level of understanding after learning a new skill. Answers to the exercises appear after homework exercises in each section.
  • End-of-Chapter materials are designed to help students prepare for exams and include a Summary of Key Terms and Symbols and Key Concepts, as well as a very thorough set of Review Exercises.
    • NEW! A table at the beginning of the answers for Review Exercises tells students which section of the book will provide help for each review exercise.  That same table is available to instructors on the Review Exercise Set page.
  • NEW! Annotated Instructor’s Edition provides tips for new and less experienced instructors in  areas where students tend to struggle and suggestions for how they may avoid common student pitfalls.

 

Motivation: Students constantly see the math applied to their major areas of study.

  • Real-Data Examples and Explanations: Real-data exercises have long been a popular and integral aspect of this book.
    • NEW! Examples have been updated to reflect the latest data and to incorporate feedback received on the previous version of the text. Approximately 22% of the 646 examples in the text are new or updated.
    • NEW! A list of companies, institutions and agencies referenced throughout the book is provided at the back of the text to help students easily recognize the many work-places where the mathematics is applied.  In addition, an index of applications gives students a list of topic-specific applications.
  • NEW! Case Studies—the popular culminating activities at the end of every chapter have been expanded to provide options for extended projects and group work. In addition, two of the case studies are completely new and five have been updated significantly.
  • Technology is integrated into the text, yet optional, allowing you to incorporate as much or as little as you find appropriate for the course.
  • NEW! Graphing calculator screen shots have been updated to represent the latest TI calculator, the TI-84+C. These visuals often prove valuable even to students not using graphing calculators.
    • Technology Tips are placed at appropriate points in the text to inform students of various features of their graphing calculator, spreadsheet, or other computer programs.
    • Appendix A: Graphing Calculators offers a brief introduction to the relevant features of the latest Texas Instruments graphing calculators.
    • Graphing Calculator and Excel Spreadsheet manuals are also available online. These manuals provide students with added support for using graphing calculators and Excel.

New to this Edition

New and Revised Content

  • Diagnostic Tests—as a way to address the often weak algebra skills that students bring to this course, two diagnostic exams are provided just prior to Chapter 1.
    • Prerequisite Skills Test assesses student understanding of the core skills students should have prior to starting the course.
    • Calculus Readiness Test is designed to diagnose any gaps in algebra skills prior to starting the calculus content in Chapter 11.
    • Fully worked-out solutions to the diagnostic tests are provided in the back of the book as a way to help students self-remediate as needed, saving valuable class time. References to specific sections for remediation are provided with the solutions to the Calculus Readiness Test so that students can take advantage of Chapters 1-4 for self-remediation.   
  • Quadratic functions consolidation—in the previous edition there were two separate sections for quadratic functions and applications of quadratic functions (3.4 and 3.5). These two sections have been consolidated for ease of teaching.
  • Implicit differentiation and related rates—by popular demand, these topics have been added to the text (sections 12.4 and 12.5). Examples and exercises in these two new sections include applications to business, such as the rate of change of the number of employees and the revenue of a corporation.
  • Examples have been updated to reflect the latest data and to incorporate feedback received on the previous version of the text. Approximately 22% of the 646 examples in the text are new or updated.
  • Additional figures—an additional six figures were added to Section 2.2 to help illustrate slope as part of writing the equation of a line.
  • Graphing calculator screen shots have been updated to represent the latest TI calculator, the TI-84+C. These visuals often prove valuable even to students not using graphing calculators.
  • Case Studies—the popular culminating activities at the end of every chapter have been expanded to provide options for extended projects and group work. In addition, two of the case studies are completely new and five have been updated significantly.
  • Student Learning Objectives for every section are provided at the back of the text. These objectives describe what students should be able to do after studying each section of the text.

New and Revised Exercises

  • A careful and thorough review of the relationship between examples and exercises has been completed to ensure that students have adequate and relevant examples to refer to when working homework exercises.
  • A table at the beginning of the answers for Review Exercises tells students which section of the book will provide help for each review exercise.  That same table is available to instructors on the Review Exercise Set page in the Annotated Instructor’s Edition.
  • Exercises are now better paired so that the even exercises require similar knowledge for solution as the corresponding odd exercise (the answer for which is at the back of the book).
  • Exercises have been updated to reflect the latest data and to incorporate feedback received on the previous version of the text. Approximately 21% of the 5,487 exercises in the text are new or updated.

Web Online Copy

Mathematics with Applications in the Management, Natural, and Social Sciences presents sound mathematics in an understandable manner, proceeding from the familiar to new material and from concrete examples to general rules and formulas. The Eleventh Edition retains its focus on real-world problem solving, but has been refreshed with revised and added content, updated and new applications, fine-tuned and newly-integrated pedagogical devices, and enhanced exercise sets. The new edition supports students with a tightly integrated MyMathLab® course and quality applications and exercises.

Teaching and Learning Experience 
This program will provide a better teaching and learning experience. Here’s how:

  • Personalized help with MyMathLab®MyMathLab delivers proven results by personalizing the learning process.
  • Strong foundation of algebra: The authors devote the first four chapters to algebra topics that form the foundation for the finite mathematics and calculus topics that follow.
  • Built for student success: proven pedagogy, robust exercise sets, and comprehensive end-of-chapter material help students succeed in the course.
  • Motivation: Students constantly see the math applied to their major areas of study.

Please note that the product you are purchasing does not include MyMathLab.

 MyMathLab

Join over 11 million students benefiting from Pearson MyLabs.

This title can be supported by MyMathLab, an online homework and tutorial system designed to test and build your understanding. Would you like to use the power of MyMathLab to accelerate your learning?

These are the steps you need to take:

1.  Make sure that your lecturer is already using the system

Ask your lecturer before purchasing a MyLab product as you will need a course ID from them before you can gain access to the system.

2.  Check whether an access code has been included with the book at a reduced cost

If it has, it will be on the inside back cover of the book.

3. If you have a course ID but no access code, you can benefit from MyMathLab at a reduced price by purchasing a pack containing a copy of the book and an access code for MyMathLab (ISBN:9781292072630)

4.  If your lecturer is using the MyLab and you would like to purchase the product...

 

Go to www.mymathlab.com to buy access to this interactive study programme.

 

Table of Contents

1. Algebra and Equations

1.1 The Real Numbers

1.2 Polynomials

1.3 Factoring

1.4 Rational Expressions

1.5 Exponents and Radicals

1.6 First-Degree Equations

1.7 Quadratic Equations

   Summary and Review

   Case Study 1 Consumers Often Need to Just Do the Math

 

2. Graphs, Lines, and Inequalities

2.1 Graphs

2.2 Equations of Lines

2.3 Linear Models

2.4 Linear Inequalities

2.5 Polynomial and Rational Inequalities

   Summary and Review

   Case Study 2 Using Extrapolation and Interpolation for Prediction

 

3. Functions and Graphs

3.1 Functions

3.2 Graphs of Functions

3.3 Applications of Linear Functions

3.4 Quadratic Functions and Applications

3.5 Polynomial Functions

3.6 Rational Functions

   Summary and Review

   Case Study 3 Architectural Arches

 

4. Exponential and Logarithmic Functions

4.1 Exponential Functions

4.2 Applications of Exponential Functions

4.3 Logarithmic Functions

4.4 Logarithmic and Exponential Equations

   Summary and Review

   Case Study 4 Gapminder.org

 

5. Mathematics of Finance

5.1 Simple Interest and Discount

5.2 Compound Interest

5.3 Annuities, Future Value, and Sinking Funds

5.4 Annuities, Present Value, and Amortization

   Summary and Review

   Case Study 5 Continuous Compounding

 

6. Systems of Linear Equations and Matrices

6.1 Systems of Two Linear Equations in Two Variables

6.2 Larger Systems of Linear Equations

6.3 Applications of Systems of Linear Equations

6.4 Basic Matrix Operations

6.5 Matrix Products and Inverses

6.6 Applications of Matrices

   Summary and Review

   Case Study 6 Matrix Operations and Airline Route Maps

 

7. Linear Programming

7.1 Graphing Linear Inequalities in two Variables

7.2 Linear Programming: The Graphical Method

7.3 Applications of Linear Programming

7.4 The Simplex Method: Maximization

7.5 Maximization Applications

7.6 The Simplex Method: Duality and Minimization

7.7 The Simplex Method: Nonstandard Problems

   Summary and Review

   Case Study 7 Cooking with Linear Programming

 

8. Sets and Probability

8.1 Sets

8.2 Applications of Venn Diagrams and Contingency Tables

8.3 Introduction to Probability

8.4 Basic Concepts of Probability

8.5 Conditional Probability and Independent Events

8.6 Bayes' Formula

   Summary and Review

   Case Study 8 Medical Diagnosis

 

9. Counting, Probability Distributions, and Further Topics in Probability

9.1 Probability Distributions and Expected Value

9.2 The Multiplication Principle, Permutations, and Combinations

9.3 Applications of Counting

9.4 Binomial Probability

9.5 Markov Chains

9.6 Decision Making

   Summary and Review

   Case Study 9 Quick Draw®from the New York State Lottery

 

10. Introduction to Statistics

10.1 Frequency Distributions

10.2 Measures of Center

10.3 Measures of Variation

10.4 Normal Distributions and Boxplots

10.5 Normal Approximation to the Binomial Distribution

   Summary and Review

   Case Study 10 Standard Deviation as a Measure of Risk

 

11. Differential Calculus

11.1 Limits

11.2 One-sided Limits and Limits Involving Infinity

11.3 Rates of Change

11.4 Tangent Lines and Derivatives

11.5 Techniques for Finding Derivatives

11.6 Derivatives of Products and Quotients

11.7 The Chain Rule

11.8 Derivatives of Exponential and Logarithmic Functions

11.9 Continuity and Differentiability

   Summary and Review

   Case Study 11 Price Elasticity

 

12. Applications of the Derivative

12.1 Derivatives and Graphs

12.2 The Second Derivative

12.3 Optimization Applications

12.4 Implicit Differentiation

12.5 Related Rates

12.6 Curve Sketching

   Summary and Review

   Case Study 12 A Total Cost Model for a Training Program

 

13. Integral Calculus

13.1 Antiderivatives

13.2 Integration by Substitution

13.3 Area and the Definite Integral

13.4 The Fundamental Theorem of Calculus

13.5 Applications of Integrals

13.6 Tables of Integrals (Optional)

13.7 Differential Equations

   Summary and Review

   Case Study 13 Bounded Population Growth

 

14. Multivariate Calculus

14.1 Functions of Several Variables

14.2 Partial Derivatives

14.3 Extrema of Functions of Several Variables

14.4 Lagrange Multipliers

   Summary and Review

   Case Study 14 Global Warming and the Method of Least Squares

 

Appendices

Appendix A. Graphing Calculators

Appendix B: Tables

   Table 1: Formulas from Geometry

   Table 2: Areas under the Normal Curve

   Table 3: Integrals

Appendix C. Learning Objectives

Appendix D. Solutions to Prerequisite Skills Tests

 

Answers to Selected Exercises

Index of Companies, Products, and Agencies

Index of Applications

Subject Index