College Mathematics for Business, Economics, Life Sciences and Social Sciences, Global Edition
13th EditionRaymond Barnett, Michael Ziegler, Karl Byleen
Sep 2014, Paperback, 1044 pagesISBN13: 9781292057668
ISBN10: 1292057661
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Description
 Table of Contents
 Features
For freshman/sophomore, 2 semester/23 quarter 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 builtin guidance than any other on the market—with special emphasis on prerequisites skills—and a host of studentfriendly 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 12), (2) Finite Mathematics (Chapters 39), and (3) Calculus (Chapters 1015).
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.
 Builtin 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 GaussJordan 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 InputOutput 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
This title is a Pearson Global Edition. The Editorial team at Pearson has worked closely with educators around the world to include content which is especially relevant to students outside the United States.

More than 6,900 exercises in the text are carefully selected and graded, helping you craft the perfect assignments for your students.

Prerequisite skills are assessed at the beginning of the text and are revisited before each exercise set.

A Diagnostic Prerequisite Test prior to Chapter 1 helps students assess their prerequisite skills.

The Basic Algebra Review in Appendix A (referenced in the answers to the Diagnostic Prerequisite Test) provides students with the content they need to remediate those skills.

NEW! Skills Warm Up exercises begin most exercise sets, reviewing prerequisite knowledge specific to that section in a "just in time" approach. References to review material are provided for students who need a refresher.


A, B, and C levels of exercises make it easy to appropriately challenge your students. NEW! A, B, and C labels now appear in the Annotated Instructor’s Edition only, so students can work without being distracted by difficulty level.

Paired exercises of the same type and difficulty level (consecutive odd and even) allow you control over student use of answers (odd answers at the back of the text).

Ample and uptodate applications illustrate the relevance of mathematics and give students opportunities to create and interpret mathematical models.

Optional graphingutility and spreadsheet examples and exercises are clearly identified by an icon. These provide a deeper understanding of mathematical concepts, give students an opportunity to practice using tools they will likely use in the workplace, and allow students to solve problems that are not feasible to solve by hand.

Chapter Reviews include exercises at the A, B, and C levels as well as thorough endofchapter summaries keyed by page number to worked examples within the chapter.

Guided Lecture Notes offer a convenient, readytouse format, with ample space for students to take notes and show their work on inclass examples. The guide is textspecific, organized by Learning Objective, and highlights key examples and definitions. NEW! Instructors can download and edit this guide so the organization of the guide directly reflects the goals and approach of each lesson.


Builtin guidance helps students help themselves learn the course content.

483 worked examples, including many with several parts.

Examples are annotated and the problemsolving 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 lessexperienced 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 12) 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 1015) coverage features early treatment of exponential and logarithmic functions plus more indepth 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.

MiniLectures 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 minilectures are ideal for instructors who do not teach this course frequently, or just need some additional guidance or resources.

NEW! An Annotated Instructor's Edition is now available, providing answers to exercises directly on the exercise set page whenever possible.

Teaching Tips are also provided for less experienced instructors, giving them insight on common student pitfalls, suggestions for how to approach a topic, or reminders of which prerequisite skills students will be using.

Exercise difficulty level (i.e, A, B, and C) is indicated in the Annotated Instructor’s Edition only, so students can work without being distracted by difficulty level.


MyMathLab not included. Students, if MyMathLab is a recommended/mandatory component of the course, please ask your instructor for the correct ISBN and course ID. MyMathLab is not a selfpaced technology and should only be purchased when required by an instructor. Instructors, contact your Pearson representative for more information.

Personalized learning with MyMathLab®: the accompanying MyMathLab course provides online homework and learning tools that help students help themselves succeed.

NEW! Increased exercise coverage—choose from 4300 assignable exercises to give students the varied practice they need.

NEW! Getting Ready content and assessment provides chapterbychapter remediation for gaps in prerequisite skills.

NEW! Adaptive learning functionality analyzes student work and points them toward resources that maximize their learning.

Instructional videos for every example in the text are ideal for selfpaced or independent study.
