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Applied Mathematics for Managerial, Life, and Social Sciences

Applied Mathematics for Managerial, Life, and Social Sciences - 3rd edition

ISBN13: 978-0534419769

Cover of Applied Mathematics for Managerial, Life, and Social Sciences 3RD 04 (ISBN 978-0534419769)
ISBN13: 978-0534419769
ISBN10: 0534419763
Cover type:
Edition/Copyright: 3RD 04
Publisher: Brooks/Cole Publishing Co.
Published: 2004
International: No

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Applied Mathematics for Managerial, Life, and Social Sciences - 3RD 04 edition

ISBN13: 978-0534419769

S.T. Tan

ISBN13: 978-0534419769
ISBN10: 0534419763
Cover type:
Edition/Copyright: 3RD 04
Publisher: Brooks/Cole Publishing Co.

Published: 2004
International: No
Summary

In APPLIED MATHEMATICS FOR THE MANAGERIAL, LIFE, AND SOCIAL SCIENCES, Soo T. Tan provides an accessible yet accurate presentation of mathematics combined with just the right balance of applications, pedagogy, and technology to help students succeed in the course. The new Third Edition includes highly interesting current applications and exercises to help stimulate student motivation. An exciting new array of supplements provides students with extensive learning support so instructors will have more time to focus on teaching the core concepts.

Benefits:

  • NEW!-Exciting new applications, including more references to original source material, have been added to build student interest and illustrate real world application. These include Online Travel, the Market for Drugs, Investment Clubs, Nuclear Plant Utilization, Production Planning, Starbuck's Annual Sales, Female Life Expectancy at 65, and Marital Status of Males.
  • Real world applications in the areas of business, economics, behavioral, life, physical, and social sciences motivate mathematical results and make the subject come to life for students.
  • Conceptual learning is encouraged through exercises, group discussion and writing questions, and an early introduction to modeling.
  • GROUP DISCUSSION QUESTIONS require more in-depth thinking than the usual exercises.
  • SELF-CHECK exercises in every section, with solutions, help students monitor their own progress.
  • REMARKS help clarify the more subtle mathematical idea.
  • CAUTIONS highlight common pitfalls.
  • PORTFOLIOS show the students the relevance of the material they are studying.
  • EXPLORING WITH TECHNOLOGY questions appear throughout the text in special boxes that make it easy for instructors to incorporate technology however they wish.
  • USING TECHNOLOGY sections show how Microsoft Excel and graphing utilities can facilitate the analysis and solution of complicated problems. They are presented in the traditional example-exercise format. Many up-to-date real life applications have been added.
  • An updated Web site includes expanded coverage of Excel topics, study hints, review material, practice tests, and instructions for using various graphing calculators.
  • NEW!-Section 6.4 on Sensitivity Analysis has been added. The treatment of this important topic in two variable enables the student to visualize all the steps involved in the post-optimal analysis of linear programming problems.
  • NEW!-Microsoft- Excel has been incorporated into the USING TECHNOLOGY sections to complement the graphing calculator coverage and make the text more practical for today's students. Step-by-step instructions along with the Excel dialog boxes and charts have been included for ease of use.
  • NEW!-Technology coverage is enhanced, including more than thirty additional graphing calculator screenshots, a new USING TECHNOLOGY section that focuses on the analysis of mathematical models that involve exponential and logarithmic functions has been added.
  • NEW!-The chapter on MATHEMATICS OF FINANCE has been strengthened with the addition of many new relevant real-life applications such as Bridge Loans, Rate Comparisons, Retirement Accounts, and Financing a Home. The USING TECHNOLOGY sections in this chapter have been rewritten to take advantage of the built-in financial functions of the TI-83 calculator.
  • NEW!-The section on mathematical modeling has been rewritten with an emphasis on the process of modeling and a new application has been added to illustrate the process.
  • NEW!-New examples show how logarithms can be used to solve for r (rate) and t (time) in interest rate problems.
  • NEW!-New figures have been added and many graphs have been redrawn to clarify examples and applications.
  • NEW!-New supplements provide increased support for teaching and learning. These include an enhanced Web site, an Instructor's Suite CD-ROM, and a stand-alone Microsoft- Excel Manual.

Table of Contents

1. FUNDAMENTALS OF ALGEBRA.

Real Numbers.
Polynomials.
Factoring Polynomials.
Rational Expressions.
Integer Exponents.
Solving Equations.
Rational Exponents and Radicals.
Quadratic Equations.
Inequalities and Absolute Value.
Chapter1 Summary and Review Exercises.

2. FUNCTIONS AND THEIR GRAPHS.

The Cartesian Coordinate System and Straight Lines.
Equations of Lines.
Using Technology.
Functions and Their Graphs.
The Algebra of Functions.
Linear Functions.
Portfolio: Carol Busa.
Using Technology.
Quadratic Functions.
Chapter 2 Summary and Review Exercises.

3. EXPONENTIAL AND LOGARITHMIC FUNCTIONS.

Exponential Functions.
Using Technology.
Logarithmic Functions.
Exponential Functions as Mathematical Models.
Chapter 3 Summary and Review Exercises.

4. MATHEMATICS OF FINANCE.

Compound Interest.
Using Technology.
Annuities.
Using Technology.
Amortization and Sinking Funds.
Portfolio: John Decker. Using Technology.
Arithmetic and Geometric Progressions (Optional).
Chapter 4 Summary and Review Exercises.

5. SYSTEMS OF LINEAR EQUATIONS AND MATRICES.

Systems of Linear Equations ?
Introduction.
Solving Systems of Linear Equations: Unique Solutions.
Using Technology.
Solving Systems of Linear Equations: Undetermined and Overdetermined Systems.
Using Technology. Matrices.
Using Technology.
Multiplication of Matrices.
Using Technology.
The Inverse of a Square Matrix.
Using Technology.
Chapter 5 Summary and Review Exercises.

6. LINEAR PROGRAMMING.

Graphing Systems of Linear Inequalities in Two Variables.
Linear Programming Problems.
Portfolio: Leanne Jenkins.
Graphical Solution of Linear Programming Problems.
The Simplex Method: Standard Maximization Problems.
Using Technology.
Portfolio: Harley Lance Kaplan.
The Simplex Method: Standard Minimization Problems.
Using Technology.
Chapter 6 Summary and Review Exercises.

7. SETS AND PROBABILITY.

Sets and Set Operations.
The Number of Elements in a Finite Set.
The Multiplication Principle.
Portfolio: John Higgins.
Permutations and Combinations.
Using Technology.
Experiments, Sample Spaces, and Events.
Probability.
Rules of Probability.
Chapter 7 Summary and Review Exercises.

8. ADDITIONAL TOPICS IN PROBABILITY.

Use of Counting Techniques in Probability.
Conditional Probability and Independent Events.
Bayes' Theorem. Distributions of Random Variables.
Using Technology.
Expected Value.
Portfolio: Lilli Meiselman.
Variance and Standard Deviation.
Using Technology.
Chapter 8 Summary and Review Exercises.

9. THE DERIVATIVE.

Limits.
Using Technology.
Portfolio: James H. Chesebro, M.D.
Continuity. Using Technology.
The Derivative.
Using Technology.
Basic Rules of Differentiation.
Using Technology.
The Product and Quotient Rules: Higher-Order Derivatives.
Using Technology.
The Chain Rule.
Using Technology.
Differentiation of Exponential and Logarithmic Functions.
Using Technology.
Marginal Functions in Economics.
Chapter 9 Summary and Review
Exercises.

10. APPLICATIONS OF THE DERIVATIVE.

Applications of the First Derivative.
Using Technology.
Applications of the Second Derivative.
Using Technology.
Curve Sketching.
Using Technology.
Optimization I. Using Technology.
Optimization II.
Chapter 10 Summary and Review Exercises.

11. INTEGRATION.

Antiderivatives and the Rules of Integration.
Integration by Substitution.
Area and the Definite Integral.
The Fundamental Theorem of Calculus.
Using Technology.
Evaluating Definite Integrals.
Using Technology.
Area Between Two Curves.
Using Technology.
Applications of the Definite Integral to Business and Economics.
Using Technology.
Chapter 11 Summary and Review Exercises.

12. CALCULUS OF SEVERAL VARIABLES.

Functions of Several Variables.
Partial Derivatives.
Using Technology.
Maxima and Minima of Functions of Several Variables.
Chapter 12 Summary and Review Exercises.
Answers to Selected Exercises.

Index.

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