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## Overview

A traditional book with a modern feel, market-leading APPLIED MATHEMATICS FOR THE MANAGERIAL, LIFE, AND SOCIAL SCIENCES, Sixth Edition, teaches by application and uses real-world examples to motivate students. It combines solid theory with innovative technology, includes a robust supplement package, and offers unmatched flexibility that caters to both traditional and modern practitioners. Accessible for majors and non-majors alike, the new Sixth Edition utilizes an intuitive approach that marries real-life instances to what would otherwise be abstract concepts. This is the focus of new and insightful Portfolios, which highlight the careers of real people and discuss how they use math in their professions. Numerous exercises ensure that students have a solid understanding of concepts before advancing to the next topic. By offering a powerful array of supplements such as Enhanced WebAssign®, the new Sixth Edition enables students to maximize their study time and succeed in class.

- The sixth edition includes many new and updated student-friendly applications. Topics include: worker efficiency, optics, inventory control, air pollution, public transportation budget deficit, brain cancer survival rate, motion of cars, Case-Shiller Home Price Index, solar panel production, and federal lobbying.
- Eight new Portfolios illustrate the real-life experiences of a variety of professionals who use mathematics in the workplace. Among those interviewed are the City Manager of Fanfoto, Senior Vice President of Supply at Earthbound Farms, and a Principal Software Engineer at Iron Mountain.
- Updated Excel coverage enhances the student experience.
- Complement your text and course content with study and practice materials. Cengage Learning's CourseMate brings course concepts to life with interactive learning, study, and exam preparation tools that support the printed textbook. Watch student comprehension soar as your class works with the printed textbook and the textbook-specific website. CourseMate goes beyond the book to deliver what you need!

- Flexibility: Optional coverage offers instructors different ways to tailor technology to their course needs. For example, "Using Technology" sections show how graphing utilities can facilitate the analysis and solution of complicated problems. "Exploring with Technology" questions emerge throughout the text in special boxes. And, "Modeling with Data" exercises feature in many of the "Using Technology" subsections, showing students how some of the functions found in the exercises are constructed.
- Complete exercise sets: Section exercise sets include "Concept" questions, and chapter reviews contain fill-in-the-blank "Concept Review" questions. Additional routine and true-false questions have been added as well.
- Thorough: Detailed illustrations support examples and exercises, ensuring student understanding. "Explore and Discuss" questions take concepts a step further and spark student discussion. Other pedagogical tools that help students master the material include: "Self-Check" exercises in every section, "Notes" to clarify more mathematical ideas, "Cautions" highlighting common pitfalls, and more.
- Motivating real-world applications: With more than 100 new and updated applications, Tan's exercises build student interest and illustrate the real-world relevance of mathematics.
- Technology experiences: "Modeling with Data" exercises appear in many of the Using Technology subsections, giving students an inside look at how the author constructed the functions found in the exercises.
- Study Tabs that work: Convenient color-coded Study Tabs, similar to Post-It® notes, make it easy for students to flag pages that they want to revisit later.
- Solution videos and tutorials: Available on the CourseMate, these videos directly correspond to exercises found within the text and provide additional instruction, including a Graphing Calculator Tutorial.
- Math for life: Real-world applications in the areas of business, economics, behavioral, life, physical, and social sciences bring relevance to mathematical results and make chapter concepts come to life for students. In addition, Portfolio interviews show how professionals use mathematics in their daily operations. Applied examples are clearly marked with photo icons that link to the list of applications.

1. FUNDAMENTALS OF ALGEBRA.

Real Numbers.Polynomials.Factoring Polynomials. Rational Expressions. Integral Exponents. Solving Equations. Rational Exponents and Radicals. Quadratic Equations. Inequalities and Absolute Value.Chapter 1 Summary of Principal Formulas and Terms. Chapter 1 Concept Review Questions. Chapter 1 Review Exercises. Chapter 1 Before Moving On.

2. FUNCTIONS AND THEIR GRAPHS.

The Cartesian Coordinate System. Equations of Lines. Using Technology: Graphing Straight Lines. Functions and Their Graphs. Using Technology: Graphing a Function. The Algebra of Functions. Linear Functions. Quadratic Functions. Portfolio. Using Technology: Constructing Matehmatical Models from Raw Data. Functions and Mathematical Models. Portfolio. Chapter 1 Summary of Principal Formulas and Terms. Chapter 2 Concept Review Questions. Chapter 2 Review Exercises. Chapter 2 Before Moving On.

3. EXPONENTIAL AND LOGARITHMIC FUNCTIONS.

Exponential Functions. Using TEchnology. Logarithmic Functions. Exponential Functions as Mathematical Models. Portfolio. Using Technology: Analyzing Matematical Models.

4. MATHEMATICS OF FINANCE.

Compound Interest. Using Technology: Finding the Accumulated Amount of an Investment, the Effective Rate of Interest, and the Present Value of an Investment. Annuities. Using Technology: Finding the Amount of an Annuity. Amortization and Sinking Funds. Using Technology: Amortizing a Loan. Arithmetic and Geometric Progressions. Chapter 4 Summary of Principal Formulas and Terms. Chapter 4 Concept Review Questions. Chapter 4 Review Exercises. Chapter 4 Before Moving On.

5. SYSTEMS OF LINEAR EQUATIONS AND MATRICES.

Systems of Linear Equations: An Introduction. Systems of Linear Equations: Unique Solutions. Using Technology: Systems of Linear Equations: Unique Solutions. Systems of Linear Equations: Underdetermined and Overdetermined Systems. Using Technology: Systems of Linear Equations: Underdetermined and Overdetermined Systems. Matrices. Using Technology: Matrix Operations. Multiplication of Matrices. Using Technology: Matrix Multiplication. The Inverse of a Square Matrix. Using Technology: Finding the Inverse of a Square Matrix. Chapter 5 Summary of Principal Formulas and Terms. Chapter 5 Concept Review Questions. Chapter 5 Review Exercises. Chapter 5 Before Moving On.

6. LINEAR PROGRAMMING

Graphing Systems of Linear Inequalities in Two Variables. Linear Programming Problems. Graphical Solutions of Linear Programming Problems. The Simplex Method: Standard Maximization Problems. Portfolio. Using Technology: The Simplex Method: Solving Maximization Problems. The Simplex Method: Standard Minimization Problems. Using Technology: The Simplex Method: Solving Minimization Problems. Chapter 6 Summary of Principal Formulas and Terms. Chapter 6 Concept Review Questions. Chapter 6 Review Exercises. Chapter 6 Before Moving On.

7. SETS AND PROBABILITY.

Sets and Set Operations. The Number of Elements in a Finite Set. The Multiplication Principle. Permutations and Combinations. Portfolio. Using Technology: Evaluating n!, P (n,r) and C (n,r). Experiments, Sample Spaces, and Events. Definition of Probability. Rules of Probability.Chapter 7 Summary of Principal Formulas and Terms. Chapter 7 Concept Review Questions. Chapter 7 Review Exercises. Chapter 7 Before Moving On.

8. ADDITIONAL TOPICS IN PROBABILITY.

Use of Counting Techniques in Probability. Conditional Probability and Independent Events. Bayes'' Theorem. Distributions of Random Variables. Using Technology: Graphing a Histogram. Expected Value. Portfolio. Variance and Standard Deviation. Using Technology: Finding the Mean and Standard Deviation. Chapter 8 Summary of Principal Formulas and Terms. Chapter 8 Concept Review Questions. Chapter 8 Review Exercises. Chapter 8 Before Moving On.

9. THE DERIVATIVE.

Limits. Using Technology: Finding the Limit of a Function. One-Sided Limits and Continuity. Using Technology: Finding the Points of Discontinuity of a Function. The Derivative. Using Technology: Graphing a Function and Its Tangent Line. Basic Rules of Differentiation. Using Technology: Finding the Rate of Change of a Function. The Product and Quotient Rules; Higher-Order Derivatives. Using Technology: The Product and Quotient Rules. The Chain Rule. Using Technology: Finding the Derivative of a Composite Function. Differentiation of Exponential and Logarithmic Functions. Using Technology. Marginal Functions in Economics. Chapter 9 Concept Review Questions. Chapter 9 Review Exercises. Chapter 9 Before Moving On.

10. APPLICATIONS OF THE DERIVATIVE.

Applications of the First Derivative. Using Technology: Using the First Derivative to Analyze a Function. Applications of the Second Derivative. Using Technology: Finding the Inflection Points of a Function. Curve Sketching. Using Technology: Analyzing the Properties of a Function. Optimization I. Using Technology: Finding the Absolute Extrema of a Function. Optimization II. Chapter 10 Summary of Principal Terms. Chapter 10 Concept Review Questions. Chapter 10 Review Exercises. Chapter 10 Before Moving On.

11. INTEGRATION.

Antiderivatives and the Rules of Integration. Integration by Substitution. Area and the Definite Integral. The Fundamental Theorem of Calculus. Portfolio. Using Technology: Evaluating Definite Integrals. Evaluating Definite Integrals. Using Technology: Evaluating Integrals for Piecewise-Defined Functions. Area between Two Curves. Using Technology: Finding the Area between Two Curves. Applications of the Definite Integral to Business and Economics. Using Technology: Business and Economic Applications/Technology Exercises. Chapter 11 Summary of Principal Formulas and Terms. Chapter 11 Concept Review Questions. Chapter 11 Review Exercises. Chapter 11 Before Moving On.

12. CALCULUS OF SEVERAL VARIABLES.

Functions of Several Variables. Partial Derivatives. Portfolio. Using Technology: Finding Partial Derivatives at a Given Point. Maxima and Minima of Functions of Several Variables. Chapter 12 Summary of Principal Formulas and Terms. Chapter 12 Concept Review Questions. Chapter 12 Review Exercises. Chapter 12 Before Moving On.

Cengage provides a range of supplements that are updated in coordination with the main title selection. For more information about these supplements, contact your Learning Consultant.

### FOR INSTRUCTORS

#### Powerpoint Image Library on Instructor Companion Web Site

ISBN: 9781305108172

#### Cengage Learning Testing, powered by Cognero Instant Access

ISBN: 9781305112667

Cengage Learning Testing Powered by Cognero is a flexible, online system that allows you to author, edit, and manage test bank content; create multiple test versions in an instant; and deliver tests from your LMS, your classroom or wherever you want. This is available online at login.cengage.com.

#### Student Solutions Manual

ISBN: 9781305108127

Contains fully worked-out solutions to all of the odd-numbered exercises in the text, giving students a way to check their answers and ensure that they took the correct steps to arrive at an answer.

### FOR STUDENTS

#### Student Solutions Manual

ISBN: 9781305108127

Contains fully worked-out solutions to all of the odd-numbered exercises in the text, giving students a way to check their answers and ensure that they took the correct steps to arrive at an answer.