Applied Mathematics for the Managerial, Life, and Social Sciences 7th Edition

Soo T. Tan

  • Copyright 2016
  • Published
  • Available with:
  • WebAssign

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Overview

APPLIED MATHEMATICS FOR THE MANAGERIAL, LIFE, AND SOCIAL SCIENCES, 7th Edition, teaches by application and uses real-world examples to motivate students. It combines solid theory with innovative technology, includes a robust supplements package, and offers unmatched flexibility that caters to both traditional and modern practitioners. Accessible for majors and non-majors alike, this edition utilizes an intuitive approach that marries real-life instances to what would otherwise be abstract concepts. This is the focus the insightful Portfolios, which highlight the careers of real people and discuss how they use math in their professions. This edition includes the WebAssign® digital option.

Meet the Author

Soo T. Tan, Stonehill College

Soo T. Tan has published numerous papers in Optimal Control Theory and Numerical Analysis. He received his S.B. degree from Massachusetts Institute of Technology, his M.S. degree from the University of Wisconsin-Madison, and his Ph.D. from the University of California at Los Angeles. "One of the most important lessons I learned from my early experience teaching these courses is that many of the students come into these courses with some degree of apprehension. This awareness led to the intuitive approach I have adopted in all of my texts."

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WebAssign is a flexible and fully customizable online instructional solution that puts powerful tools in the hands of teachers, enabling you to realize your teaching goals and instantly assess individual student performance to help students learn math, not just do online homework.

Features & Benefits

  • 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 300 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.
  • 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.

Table of Contents

Applied Mathematics for the Managerial, Life, and Social Sciences

TABLE OF CONTENTS

1. FUNDAMENTALS OF ALGEBRA.
1.1 Real Numbers; 1.2 Polynomials; 1.3 Factoring Polynomials; 1.4 Rational Expressions; 1.5 Integral Exponents; 1.6 Solving Equations; 1.7 Rational Exponents and Radicals; 1.8 Quadratic Equations; 1.9 Inequalities and Absolute Value.
2. FUNCTIONS AND THEIR GRAPHS.
2.1 The Cartesian Coordinate System and Straight Lines; 2.2 Equations of Lines; 2.3 Functions and Their Graphs; 2.4 The Algebra of Functions; 2.5 Linear Functions; 2.6 Quadratic Functions; 2.7 Functions and Mathematical Models; 2.8 The Method of Least Squares (Optional).
3. EXPONENTIAL AND LOGARITHMIC FUNCTIONS.
3.1 Exponential Functions; 3.2 Logarithmic Functions; 3.3 Exponential Functions as Mathematical Models.
4. MATHEMATICS OF FINANCE.
4.1 Compound Interest; 4.2 Annuities; 4.3 Amortization and Sinking Funds; 4.4 Arithmetic and Geometric Progressions.
5. SYSTEMS OF LINEAR EQUATIONS AND MATRICES.
5.1 Systems of Linear Equations: An Introduction; 5.2 Systems of Linear Equations: Unique Solutions; 5.3 Systems of Linear Equations: Underdetermined.and Overdetermined Systems; 5.4 Matrices; 5.5 Multiplication of Matrices; 5.6 The Inverse of a Square Matrix.
6. LINEAR PROGRAMMING.
6.1 Graphing Systems of Linear Inequalities in Two Variables; 6.2 Linear Programming Problems; 6.3 Graphical Solution of Linear Programming Problems; 6.4 The Simplex Method: Standard Maximization Problems; 6.5 The Simplex Method: Standard Minimization Problems.
7. SETS AND PROBABILITY.
7.1 Sets and Set Operations; 7.2 The Number of Elements in a Finite Set; 7.3 The Multiplication Principle; 7.4 Permutations and Combinations; 7.5 Experiments, Sample Spaces, and Events; 7.6 Definition of Probability; 7.7 Rules of Probability.
8. ADDITIONAL TOPICS IN PROBABILITY.
8.1 Use of Counting Techniques in Probability; 8.2 Conditional Probability and Independent Events; 8.3 Bayes' Theorem; 8.4 Distributions of Random Variables; 8.5 Expected Value; 8.6 Variance and Standard Deviation.
9. THE DERIVATIVE.
9.1 Limits; 9.2 One-Sided Limits and Continuity; 9.3 The Derivative; 9.4 Basic Rules of Differentiation; 9.5 The Product and Quotient Rules; Higher Order Derivatives; 9.6 The Chain Rule; 9.7 Differentiation of Exponential and Logarithmic Functions; 9.8 Marginal Functions in Economics.
10. APPLICATIONS OF THE DERIVATIVE.
10.1 Applications of the First Derivative; 10.2 Applications of the Second Derivative; 10.3 Curve Sketching; 10.4 Optimization I; 10.5 Optimization II.
11. INTEGRATION.
11.1 Antiderivatives and the Rules of Integration; 11.2 Integration by Substitution; 11.3 Area and the Definite Integral; 11.4 The Fundamental Theorem of Calculus; 11.5 Evaluating Definite Integrals; 11.6 Area between Two Curves; 11.7 Applications of the Definite Integral to Business and Economics.
12. CALCULUS OF SEVERAL VARIABLES.
12.1 Functions of Several Variables; 12.2 Partial Derivatives; 12.3 Maxima and Minima of Functions of Several Variables.
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Supplements

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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.