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Mathematics with Applications In the Management, Natural, and Social Sciences, 12th edition

  • Margaret L. Lial
  • Thomas W. Hungerford
  • John P Holcomb
  • Bernadette Mullins

Published by Pearson (January 24th 2018) - Copyright © 2019

12th edition

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Overview

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For freshman/sophomore, 2-semester or 2–3 quarter courses in Finite Math & Applied Calculus or Mathematics for Business. 

This package includes MyLab Math.


A strong foundation and logical progression through finite math and calculus

The unique organization of Mathematics with Applications in the Management, Natural, and Social Sciences gives students four chapters of college algebra, rather than the usual two, before moving into finite math and calculus. From there, the authors build upon familiar foundations and then move to new concepts; students are shown concrete examples before learning general rules and formulas. 


With an ongoing focus on real-world problem solving, almost every section in the 12th Edition includes relevant, contemporary applications and fine-tuned pedagogical devices.  A prior course in basic algebra is assumed.


Personalize learning with MyLab Math 

By combining trusted authors’ content with digital tools and a flexible platform, MyLab personalizes the learning experience and improves results for each student. 


013486266X / 9780134862668 Mathematics with Applications and MyLab Math with Pearson eText -- Title-Specific Access Card Package, 12/e

Package consists of:   

  • 0134767624 / 9780134767628 Mathematics with Applications In the Management, Natural, and Social Sciences, 12/e  
  • 0134856554 / 9780134856551 MyLab Math with Pearson eText -- Standalone Access Card -- for Mathematics with Applications, 12/e


Table of contents

Prerequisite Skills Test 

Calculus Readiness Test 


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. Energy Efficiency and Long-Term Cost Savings 


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. Maximizing Profit 


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. Investing in Stocks and Using the Rule of 72 


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. 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 and Boxplots 

10.4 Normal Distributions 

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 of Demand


12. Applications of the Derivative 

12.1 Local Extrema 

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 Integration by Parts 

13.4 Area and the Definite Integral 

13.5 The Fundamental Theorem of Calculus 

13.6 Applications of Integrals 

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 


Appendix A. Areas under the Normal Curve 

Appendix B. Solutions to Prerequisite Skills Test and Calculus Readiness Test 

Appendix C. Table of Integrals 


Answers to Selected Exercises 

Index of Companies, Products, and Agencies 

Index of Applications 

Subject Index 

Photo Credits 


Reference Endpapers:

• Algebra Review

• Geometric Formulas

• Finite Math Review

• Calculus Review

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