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Other titles in the Barnett series:College Mathematics for Business, Economics, Life Sciences & Social Sciences (Barnett)by Raymond A. Barnett
Synopses & ReviewsPublisher Comments:' This accessible text 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). The book’s overall approach addresses the challenges of teaching and learning when readers’ prerequisite knowledge varies greatly. Readerfriendly features such as Matched Problems, Explore & Discuss questions, and Conceptual Insights, together with the motivating and ample applications, make this text a popular choice for today’s readers.
A Library of Elementary Functions: Linear Equations and Graphs; Functions and Graphs. Finite Mathematics: Mathematics of Finance; Systems of Linear Equations; Matrices; Linear Inequalities and Linear Programming; Linear Programming: Simplex Method; Logic, Sets, and Counting; Probability; Markov Chains. Calculus: Limits and the Derivative; Additional Derivative Topics; Graphing and Optimization; Integration; Additional Integration Topics; Multivariable Calculus. For all readers interested in college mathematics for business, economics, life sciences, and social sciences. ' Synopsis:This accessible text is designed to help readers help themselves to excel. 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). The book’s overall approach, refined by the authors’ experience with large sections of college freshmen, addresses the challenges of learning when readers’ prerequisite knowledge varies greatly. Readerfriendly features such as Matched Problems, Explore & Discuss questions, and Conceptual Insights, together with the motivating and ample applications, make this text a popular choice for today’s students and instructors.
Synopsis:This package consists of the textbook plus an access kit for MyMathLab/MyStatLab.
This accessible text is designed to help readers help themselves to excel. 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). The book’s overall approach, refined by the authors’ experience with large sections of college freshmen, addresses the challenges of learning when readers’ prerequisite knowledge varies greatly. Readerfriendly features such as Matched Problems, Explore & Discuss questions, and Conceptual Insights, together with the motivating and ample applications, make this text a popular choice for today’s students and instructors. The MyMathLab course for the text features thousands of homework exercises plus instructional videos for nearly every example in the book.
MyMathLab provides a wide range of homework, tutorial, and assessment tools that make it easy to manage your course online. About the AuthorRaymond A. Barnett, a native of California, received his B.A. in mathematical statistics from the University of California at Berkeley and his M.A. in mathematics from the University of Southern California. He has been a member of the Merritt College Mathematics Department, and was chairman of the department for four years. Raymond Barnett has authored or coauthored eighteen textbooks in mathematics, most of which are still in use. In addition to international English editions, a number of books have been translated into Spanish. Coauthors include Michael Ziegler, Marquette University; Thomas Kearns, Northern University; Charles Burke, City College of San Francisco; John Fuji, Merritt College; and Karl Byleen, Marquette University.
Michael R. Ziegler (late) received his B.S. from Shippensburg State College and his M.S. and Ph.D. from the University of Delaware. After completing post doctoral work at the University of Kentucky, he was appointed to the faculty of Marquette University where he held the rank of Professor in the Department of Mathematics, Statistics, and Computer Science. Dr. Ziegler published over a dozen research articles in complex analysis and coauthored eleven undergraduate mathematics textbooks with Raymond A. Barnett, and more recently, Karl E. Byleen.
Karl E. Byleen received his B.S., M.A. and Ph.D. degrees in mathematics from the University of Nebraska. He is currently an Associate Professor in the Department of Mathematics, Statistics and Computer Science of Marquette University. He has published a dozen research articles on the algebraic theory of semigroups. Table of ContentsPart One: A Library of Elementary Functions
Chapter 1: Linear Equations and Graphs 11 Linear Equations and Inequalities 12 Graphs and Lines 13 Linear Regression 14 Quadratic Functions Chapter 1 Review Review Exercise
Chapter 2: Functions and Graphs 21 Functions 22 Elementary Functions: Graphs and Transformations 23 Quadratic Functions 24 Polynomial and Rational Functions 25 Exponential Functions 26 Logarithmic Functions Chapter 2 Review Review Exercise
Part Two: Finite Mathematics
Chapter 3: Mathematics of Finance 31 Simple Interest 32 Compound and Continuous Compound Interest 33 Future Value of an Annuity; Sinking Funds 34 Present Value of an Annuity; Amortization Chapter 3 Review Review Exercise
Chapter 4: Systems of Linear Equations; Matrices 41 Review: Systems of Linear Equations in Two Variables 42 Systems of Linear Equations and Augmented Matrices 43 GaussJordan Elimination 44 Matrices: Basic Operations 45 Inverse of a Square Matrix 46 Matrix Equations and Systems of Linear Equations 47 Leontief InputOutput Analysis Chapter 4 Review Review Exercise
Chapter 5: Linear Inequalities and Linear Programming 51 Inequalities in Two Variables 52 Systems of Linear Inequalities in Two Variables 53 Linear Programming in Two Dimensions: A Geometric Approach Chapter 5 Review Review Exercise
Chapter 6: Linear Programming: Simplex Method 61 A Geometric Introduction to the Simplex Method 62 The Simplex Method: Maximization with Problem Constraints of the Form ≥ 63 The Dual; Minimization with Problem Constraints of the form ≥ 64 Maximization and Minimization with Mixed Problem Constraints Chapter 6 Review Review Exercise
Chapter 7: Logic, Sets, and Counting 71 Logic 72 Sets 73 Basic Counting Principles 74 Permutations and Combinations Chapter 7 Review Review Exercise
Chapter 8: Probability 81 Sample Spaces, Events, and Probability 82 Union, Intersection, and Complement of Events; Odds 83 Conditional Probability, Intersection, and Independence 84 Bayes' Formula 85 Random Variables, Probability Distribution, and Expected Value Chapter 8 Review Review Exercise
Chapter 9: Markov Chains 91 Properties of Markov Chains 92 Regular Markov Chains 93 Absorbing Markov Chains Chapter 9 Review Review Exercise
Part Three: Calculus
Chapter 10: Limits and the Derivative 101 Introduction to Limits 102 Infinite Limits and Limits at Infinity 103 Continuity 104 The Derivative 105 Basic Differentiation Properties 106 Differentials 107 Marginal Analysis in Business and Economics Chapter 10 Review Review Exercise
Chapter 11: Additional Derivative Topics 111 The Constant e and Continuous Compound Interest 112 Derivatives of Logarithmic and Exponential Functions 113 Derivatives of Products and Quotients 114 The Chain Rule 114 Implicit Differentiation 115 Related Rates 117 Elasticity of Demand Chapter 11 Review Review Exercise
Chapter 12: Graphing and Optimization 121 First Derivative and Graphs 122 Second Derivative and Graphs 123 L'Hopitals's Rule 124 Curve Sketching Techniques 125 Absolute Maxima and Minima 126 Optimization Chapter 12 Review Review Exercise
Chapter 13: Integration 131 Antiderivatives and Indefinite Integrals 132 Integration by Substitution 133 Differential Equations; Growth and Decay 134 The Definite Integral 135 The Fundamental Theorem of Calculus Chapter 13 Review Review Exercise
Chapter 14: Additional Integration Topics 141 Area Between Curves 142 Applications in Business and Economics 143 Integration by Parts 144 Integration Using Tables Chapter 14 Review Review Exercise
Chapter 15: Multivariable Calculus 151 Functions of Several Variables 152 Partial Derivatives 153 Maxima and Minima 154 Maxima and Minima Using Lagrange Multipliers 155 Method of Least Squares 156 Double Integrals Over Rectangular Regions 157 Double Integrals Over More General Regions Chapter 15 Review Review Exercise
Appendixes
Appendix A: Basic Algebra Review SelfTest on Basic Algebra A1 Algebra and Real Numbers A2 Operations on Polynomials A3 Factoring Polynomials A4 Operations on Rational Expressions A5 Integer Exponents and Scientific Notation A6 Rational Exponents and Radicals A7 Quadratic Equations
Appendix B: Special Topics B1 Sequences, Series, and Summation Notation B2 Arithmetic and Geometric Sequences B3 Binomial Theorem
Appendix C: Tables Table I Area Under the Standard Normal Curve Table II Basic Geometric Formulas
Answers Index Applications Index A Library of Elementary Functions What Our Readers Are SayingBe the first to add a comment for a chance to win!Product Details
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