# College Mathematics for Business, Economics, Life Sciences and Social Sciences, Global Edition

13th Edition## Raymond Barnett, Michael Ziegler, Karl Byleen

Sep 2014, Paperback, 1044 pagesISBN13: 9781292057668

ISBN10: 1292057661

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## Description

- Table of Contents
- Features

*For courses covering finite mathematics and/or calculus for students in business, economics, social sciences, or life sciences.*

**Barnett/Ziegler/Byleen** is designed to help students help themselves succeed in the course. This text offers more built-in guidance than any other on the market—with special emphasis on prerequisites skills—and a host of student-friendly features to help students catch up or learn on their own. The content is organized into three parts: (1) A Library of Elementary Functions (Chapters 1-2), (2) Finite Mathematics (Chapters 3-9), and (3) Calculus (Chapters 10-15).

This program provides a better teaching and learning experience. Here’s how:

**Personalized learning with MyMathLab**®**:**the accompanying MyMathLab course provides online homework and learning tools that help students help themselves succeed.**More than 6,900 exercises**in the text help you craft the perfect assignments for your students, with plenty of support for prerequisite skills.**Built-in guidance**helps students help themselves learn course content.

**Flexible coverage** allows instructors to use this text in a way that suits their syllabus and teaching style.

- Description
## Table of Contents

- Features

**Diagnostic Prerequisite Test**

**PART ONE: A LIBRARY OF ELEMENTARY FUNCTIONS**

**1. Linear Equations and Graphs**

**1.1 Linear Equations and Inequalities**

**1.2 Graphs and Lines**

**1.3 Linear Regression**

** Chapter 1 Review**

** Review Exercises**

**2. Functions and Graphs**

**2.1 Functions**

**2.2 Elementary Functions: Graphs and Transformations**

**2.3 Quadratic Functions**

**2.4 Polynomial and Rational Functions**

**2.5 Exponential Functions**

**2.6 Logarithmic Functions**

** Chapter 2 Review**

** Review Exercises**

**PART TWO: FINITE MATHEMATICS**

**3. Mathematics of Finance**

**3.1 Simple Interest**

**3.2 Compound and Continuous Compound Interest**

**3.3 Future Value of an Annuity; Sinking Funds**

**3.4 Present Value of an Annuity; Amortization**

** Chapter 3 Review**

** Review Exercises**

**4. Systems of Linear Equations; Matrices**

**4.1 Review: Systems of Linear Equations in Two Variables**

**4.2 Systems of Linear Equations and Augmented Matrices**

**4.3 Gauss-Jordan Elimination**

**4.4 Matrices: Basic Operations**

**4.5 Inverse of a Square Matrix**

**4.6 Matrix Equations and Systems of Linear Equations**

**4.7 Leontief Input-Output Analysis**

** Chapter 4 Review**

** Review Exercises**

**5. Linear Inequalities and Linear Programming**

**5.1 Linear Inequalities in Two Variables**

**5.2 Systems of Linear Inequalities in Two Variables**

**5.3 Linear Programming in Two Dimensions: A Geometric Approach**

** Chapter 5 Review**

** Review Exercises**

**6. Linear Programming: The Simplex Method**

**6.1 The Table Method: An Introduction to the Simplex Method**

**6.2 The Simplex Method: Maximization with Problem Constraints of the Form ≤**

**6.3 The Dual; Minimization with Problem Constraints of the form ≥**

**6.4 Maximization and Minimization with Mixed Problem Constraints**

** Chapter 6 Review**

** Review Exercises**

**7. Logic, Sets, and Counting**

**7.1 Logic**

**7.2 Sets**

**7.3 Basic Counting Principles**

**7.4 Permutations and Combinations**

** Chapter 7 Review**

** Review Exercises**

**8. Probability**

**8.1 Sample Spaces, Events, and Probability**

**8.2 Union, Intersection, and Complement of Events; Odds**

**8.3 Conditional Probability, Intersection, and Independence**

**8.4 Bayes' Formula**

**8.5 Random Variables, Probability Distribution, and Expected Value**

** Chapter 8 Review**

** Review Exercises**

**9. Markov Chains**

**9.1 Properties of Markov Chains**

**9.2 Regular Markov Chains**

**9.3 Absorbing Markov Chains**

** Chapter 9 Review**

** Review Exercises**

**PART THREE: CALCULUS**

**10. Limits and the Derivative**

**10.1 Introduction to Limits**

**10.2 Infinite Limits and Limits at Infinity**

**10.3 Continuity**

**10.4 The Derivative**

**10.5 Basic Differentiation Properties**

**10.6 Differentials**

**10.7 Marginal Analysis in Business and Economics**

** Chapter 10 Review**

** Review Exercises**

**11. Additional Derivative Topics**

**11.1 The Constant e and Continuous Compound Interest**

**11.2 Derivatives of Logarithmic and Exponential Functions**

**11.3 Derivatives of Products and Quotients**

**11.4 The Chain Rule**

**11.4 Implicit Differentiation**

**11.5 Related Rates**

**11.7 Elasticity of Demand**

** Chapter 11 Review**

** Review Exercises**

**12. Graphing and Optimization**

**12.1 First Derivative and Graphs**

**12.2 Second Derivative and Graphs**

**12.3 L'Hôpital's Rule**

**12.4 Curve Sketching Techniques**

**12.5 Absolute Maxima and Minima**

**12.6 Optimization**

** Chapter 12 Review**

** Review Exercises**

**13. Integration**

**13.1 Antiderivatives and Indefinite Integrals**

**13.2 Integration by Substitution**

**13.3 Differential Equations; Growth and Decay**

**13.4 The Definite Integral**

**13.5 The Fundamental Theorem of Calculus**

** Chapter 13 Review**

** Review Exercises**

**14. Additional Integration Topics**

**14.1 Area Between Curves**

**14.2 Applications in Business and Economics**

**14.3 Integration by Parts**

**14.4 Other Integration Methods**

** Chapter 14 Review**

** Review Exercises**

**15. Multivariable Calculus**

**15.1 Functions of Several Variables**

**15.2 Partial Derivatives**

**15.3 Maxima and Minima**

**15.4 Maxima and Minima Using Lagrange Multipliers**

**15.5 Method of Least Squares**

**15.6 Double Integrals Over Rectangular Regions**

**15.7 Double Integrals Over More General Regions**

** Chapter 15 Review**

** Review Exercises**

**APPENDICES**

**A. Basic Algebra Review**

**A.1 Algebra and Real Numbers**

**A.2 Operations on Polynomials**

**A.3 Factoring Polynomials**

**A.4 Operations on Rational Expressions**

**A.5 Integer Exponents and Scientific Notation**

**A.6 Rational Exponents and Radicals**

**A.7 Quadratic Equations**

**B. Special Topics**

**B.1 Sequences, Series, and Summation Notation**

**B.2 Arithmetic and Geometric Sequences**

**B.3 Binomial Theorem**

**C. Tables**

**Table I. Basic Geometric Formulas**

**Table II. Integration Formulas**

**Answers**

**Index**

**Applications Index**

**A Library of Elementary Functions**

- Description
- Table of Contents
## Features

**Built-in guidance**helps students help themselves learn the course content.**483 worked examples,**including many with several parts.**Examples**are annotated and the problem-solving steps are clearly identified, which gives students extra assistance in understanding the solution.**Dashed boxes**show the detailed algebraic steps that are normally not included in textbooks, giving students extra help in working through the examples.- A
**Matched Problem**follows each example, providing students with an opportunity to reinforce and test understanding before moving on.

**Conceptual Insight**boxes, appearing in nearly every section, either make explicit connections to previously learned concepts or provide a broader, more conceptual explanation of the topic, helping students place this new information in context.**Explore & Discuss**problems in every section encourage students to think about a relationship or process before a result is stated or to investigate additional consequences of a development in the text. These problems can help students of all levels gain better insight into the mathematical concepts and are effective in both small and large classroom settings.**NEW!**The author has provided*Teaching Tips*for less-experienced instructors on how to engage students in these discussions and the goals of the exploration.

**Flexible coverage**allows instructors to use this text in a way that suits their syllabus and teaching style.**Topic selection, coverage, and organization**reflect the course outlines of many major colleges and universities. The content is organized into three parts:**A Library of Elementary Functions**(Chapters 1-2) provides optional material that can be covered in its entirety or referred to as needed.**Finite Mathematics**(Chapters 3–9) coverage features a separate chapter on the simplex method and thorough coverage of Markov chains.**Calculus**(Chapters 10-15) coverage features early treatment of exponential and logarithmic functions plus more in-depth coverage of calculus topics than other texts.

**Emphasis on the construction of mathematical models,**especially in linear systems and linear programming, gives students critical tools for solving application problems.**Technology coverage**is optional, but discussions on using graphing calculators and spreadsheets are included where appropriate.**Mini-Lectures**are included for most sections of the text and provide additional classroom examples, a summary of suggested learning objectives, and teaching notes for the material. These mini-lectures are ideal for instructors who do not teach this course frequently, or just need some additional guidance or resources.